Values in A Sentence

    1

    A ' lock-in ' is not destabilized by cultural assimilation or learning (given these parameter values ).

    2

    A comparison of the results of different observers would also suggest that the law of variation may be different in different metals, although the differences in the values of d 2 E/dP may be due in part to differences of purity or errors of observation.

    3

    A connexion with the circular functions, however, appears later when the definition of log x is extended to complex values of x.

    4

    A few of the blubber oils, like dolphin jaw and porpoise jaw oils (used for lubricating typewriting machines), have exceedingly high saponification values ` owing to their containing volatile fatty acids with a small number of carbon atoms. Notable also are coco-nut and palm-nut oils, the saponification numbers of which vary from 240 to 260, and especially butter-fat, which has a saponification value of about 227.

    5

    A magnetograph is an instrument for continuously recording the values of the magnetic elements, the three universally chosen being the declination, the horizontal component and the vertical component.

    6

    A rigorous demonstration was wanting for many years, Leonhard Euler's proof for negative and fractional values being faulty, and was finally given by Niels Heinrik Abel.

    7

    A valuable summary of a considerable part of this work, containing an account of the methods adopted, the materials employed, and the resulting values of the various quantities involved, was published in 1895, as a supplement to the American Ephemeris for 1897, entitled The Elements of the Four Inner Planets and the Fundamental Constants of Astronomy.

    8

    According to their guru, Howard Rheingold, the values of the counter-culture baby boomers are shaping the development of new information technologies.

    9

    Accordingly he resolved to " devote all the force which he could spare to the work of deriving improved values of the fundamental elements and embodying them in new tables of the celestial motions."

    10

    Aesthetic involvement in the exhibit promotes Indian values, arts and esthetic sensibilities.

    11

    Aeuer (Ber., 1904, 37, p. 2 53 6; Ann., 1904, 337, p. 362), who converted pure ethyl iodide into hydriodic acid and subsequently into silver iodide, which they then analysed, obtained the value 126.026 (H =1); a discussion of this and other values gave as a mean 126.97 (0=16).

    12

    Again abnormal values for the standard bicarbonate are only due the metabolic component of an acid base disturbance.

    13

    Again, since the constant of aberration defines the ratio between the velocity of light and the earth's orbital speed, the span of the terrestrial circuit, in other words, the distance of the sun, is immediately deducible from known values of the first two quantities.

    14

    All metals are elastic to this extent that a change of form, brought about by stresses not exceeding certain limit values, will disappear on the stress being removed.

    15

    Also comes with a Color Wizard for getting the hex values of your own color mixes.

    16

    Also... bond enthalpy values apply to molecules in the gaseous state.

    17

    Although a picture sign may at times have embarrassed the skilled native reader by offering a choice of fixed values or functions, it was never intended to convey merely an idea, so as to leave to him the task of putting the idea into his own words.

    18

    Although even good membranes of copper ferrocyanide are rarely perfectly semi-permeable, and in other membranes such as indiarubber, &c., which have been used, the defects from the theoretical values of the equilibrium pressure are very great, yet, in the light of the exact verification of theory given by the experiments described above, it is evident that such failures to reach the limiting value in no wise invalidate the theory of osmotic equilibrium.

    19

    Altogether, we see that weights have descended from original varieties with so little intercomparison that no rectification of their values has been made, and hence there is as much variety in any one place and time as in all together.

    20

    Among the incidental operations are (a) the valuation of the bullion by weighing and assaying it; (b) " rating" the bullion, or calculating the amount of copper to be added to make up the standard alloy; (c) recovering the values from ground-up crucibles, ashes and floor sweepings (the Mint " sweep "); (d) assaying the melted bars; (e) " pyxing " the finished coin or selecting specimens to be weighed and assayed; (f) " telling " or counting the coin.

    21

    An additional difficulty arises in the case of observations made with long mercury thermometers buried in vertical holes, that the correction for the expansion of the liquid in the long stems is uncertain, and that the holes may serve as channels for percolation, and thus lead to exceptionally high values.

    22

    An air hygrometer nearly always indicates readings higher than the real values.

    23

    And Figure 18 shows that GW, represented by a northern hemisphere temperature anomaly, is an important factor in the high annual CET values since 1988.

    24

    And this does not involve the articulation of prior values.

    25

    And values for physical collateral are also likely to be cyclical.

    26

    And with a very long and weak spring for which the values of the quantities were W =1 oz., /1=233, R = 35 in., 0085 in., E = io,50o,000, the formula gives extension =22.78 in., while direct experiment with the spring gave 23.5 in.

    27

    And, 3rdly, I may say, the Lord values the soul much, because it is of the highest concernment.

    28

    Ann., 18 95, 54,655), who found the limiting values of to be 7.5 to 9.5 for iron, and 11.2 to 13.5 for steel, remaining constant up to H = 06; by P. Culmann (Elekt.

    29

    Annexed are values of Io 6 K for the different salts examined, w being the weight of the salt per c.c. of the solution.

    30

    Are there any shared values from our common humanity?

    31

    Argand had been led to deny that such an expression as i 2 could be expressed in the form A+Bi, - although, as is well known, Euler showed that one of its values is a real quantity, the exponential function of --7112.

    32

    Aries on second house cusp Your own values come first.

    33

    As A m is a wave-length corresponding to an absorption band, this formula can be used to find values of A m which satisfy the observed values of n within the region of transparency, and so to determine where the absorption bands are situated.

    34

    As a result of these improvements land and timber values have markedly risen, and great impetus has been given to traffic on the rivers, which carry a large part of the cotton, lumber, coal, stone, hay and miscellaneous freights of the state.

    35

    As an example we may take the case where a brake is provided offering a resistance, c R, proportional to the load sustained, and where the values a and b are small compared with unity.

    36

    As Laplace has shown, the values for K and T may also be expressed in terms of the function cs, with which we started.

    37

    As you can see from the excerpt below, the values affected are those relating to values extracted from the smoothed histogram.

    38

    Assuming, then, that the proper names found in the Persian portion of the Behistun inscription occurred also in the Assyrian portion, retaining virtually the same sound in each, a clue to the phonetic values of a large number of the Assyrian characters was obviously at hand.

    39

    At Assuan the mean value for the year is only 38%, that for the summer being 29%, and for the winter 51%; while for Wadi Haifa the mean is 32%, and 20% and 42% are the mean values for summer and winter respectively.

    40

    At the court a limited recognition might be given, as fashion veered, to the values prevalent in the Hellenistic world.

    41

    Attention must be given to the possible accumulation of errors due to the small errors in the values of u.

    42

    Average values for a soprano pipistrelle echolocation call, as given by Vaughan et al.

    43

    Balmer, who showed that the four hydrogen lines in the visible part of the spectrum may be represented by the equation n = A(i - 4/s2), where n is the reciprocal of the wave-length and therefore proportional to the wave frequency, and s successively takes the values 3, 4, 5, 6.

    44

    Beaux Artsmbers occupied positions of power within the profession and instilled Beaux-Arts values in the reformed architectural education system.

    45

    Berzelius from an analysis of the chloride gave values from 79.2 to 79.35.

    46

    Between 1751 and 1760 the annual values had risen for exports to £2,002,000 (to Great Britain, £1,068,000) and for imports to £1,594,000 (from Great Britain, £734,000).

    47

    Bidwell 2 accordingly found upon trial that the Wiedemann twist of an iron wire vanished when the magnetizing force reached a certain high value, and was reversed when that value was exceeded; he also found that the vanishing point was reached with lower values of the magnetizing force when the wire was stretched by a weight.

    48

    Bodin showed a more rational appreciation than many of his contemporaries of the causes of this revolution, and the relation of the variations in money to the market values of wares in general as well as to the wages of labour.

    49

    Boolean isAlphaPremultiplied specifies how to interpret color and alpha samples in pixel values.

    50

    Bushire, Hanjam, Bahrein, Abadan and Basra Summary showing Import and Export Values of Trade in the Persian Gulf (excluding Iraq and Arabistan) in two pre-war years and in the latest post-war year available.

    51

    But a new agency began to engage the speculations of thinkers, the moral values of action embodied in the Deed.

    52

    But even supposing $1,000,000,000 to be a juster estimate according to present-day values, it is probable that the increase of this since 1790 has been more than a hundredfold and since 1850 (since when such data have been gathered by the census) about fifteenfold.

    53

    But For The Determination Of Relative Values Of Specific Heats In Terms Of A Standard Liquid, Or Of The Variations Of Specific Heat Of A Liquid, The Method Depends Only On The Constancy Of The Standards, Which Can Be Readily And Accurately Tested.

    54

    But if all are lost the burden of the expenditure ought not to remain upon the interest which at first bore it; and the proper rule seems to be that contributions must be made by all the interests which were at stake when it was made, in proportion to their then values.

    55

    But if the load is distributed to the bracing intersections by rail and cross girders, then the shear at C' will be greatest when the load extends to N, and will have the values wXADN and -wXNEB.

    56

    But in order to deduce the values of c by the Joule-Thomson method, it is necessary to assume an empirical formula, and the type c=co(6019) n is chosen as being the simplest.

    57

    But the oils belonging to the rape oil group are characterized by considerably lower saponification values, viz.

    58

    But the values of 2 which occur successively during the second at AB exist simultaneously at the beginning of the second over the distance U behind AB.

    59

    But these " core Commonwealth values " have been those imposed by British imperialism and interpreted to suit its interests.

    60

    By means of these formulae Adams calculated the values of log e 2, log e 3, log e s, and loge?

    61

    By separation of real and imaginary parts, C =M cos 27rv 2 +N sin 27rv2 1 S =M sin 27rv 2 - N cos 27rv2 where 35+357.9 N _ 7rv 3 7r 3 v 7 + 1.3 1.3.5.7 1.3.5.7.9.11 These series are convergent for all values of v, but are practically useful only when v is small .

    62

    By the second general method the moon's co-ordinates are obtained in terms of the time by the direct integration of the differential equations of motion, retaining as algebraic symbols the values of the various elements.

    63

    Cereals are by far the most important crops, representing in 1899 four-fifths of farmed land and crop values.

    64

    Chile is a member of the International Postal Union, and has arrangements with the principal commercial nations for the exchange of postal money values.

    65

    Clearly the integral is the sum of the values of mu g for all the molecules of the first kind in unit volume, thus p=v mu l +v'm'u 2 +...

    66

    Close to and on either side of the absorptive band µ 2 has large positive and negative values, and if the above expression remains correct the change of frequency would, close to the centre of absorption, be 2 k-2"+3, which for n =3 and k= Io is 1/2000, or 500 times greater than the observed shifts, but this represents now the maximum displacement and not the displacement of the most intense portion of the radiation.

    67

    Combining this with the first equation, we obtain the values of P, Q, R, ..

    68

    Commerce.-A summary of import and export values of trade in the Persian Gulf, excluding Mohammerah and Basra, is appended.

    69

    Consider an elementary couple of two metals A and B for which s has the values s and s" respectively, with junctions at the temperature T and T+dT (absolute), at which the coefficients of the Peltier effect are P and P+dP. Equating the quantity of heat absorbed to the quantity of electrical energy generated, we have by the first law of thermodynamics the relation dE/dT =dP/dT+(s' - s").

    70

    Considerations such as these have been used for determining the series of values of the independent variable, and the irrational functions thereof in the theory of Abelian integrals, but the theory seems to be worthy of further investigation.

    71

    Considering the equations ax +by +cz =d, a'x +b'y +c' z =d', a"x+b"y+cnz=d" and proceeding to solve them by the so-called method of cross multiplication, we multiply the equations by factors selected in such a manner that upon adding the results the whole coefficient of y becomes = o, and the whole coefficient of z becomes = o; the factors in question are b'c" - b"c', b"c - be", bc' - b'c (values which, as at once seen, have the desired property); we thus obtain an equation which contains on the left-hand side only a multiple of x, and on the right-hand side a constant term; the coefficient of x has the value a(b'c" - b"c') +a'(b"c - bc") +a'(bc' - b'c), and this function, represented in the form a, b,c, a' b'c', a" b" c" is said to be a determinant; or, the number of elements being 32, it is called a determinant of the third order.

    72

    Conversely, a secretory endometrium was not uncommon in cycles with values of less than 38 nmol/l.

    73

    Corresponding to the argument log x it gives the values of log (I -Fx - 1) and log (1+x).

    74

    Denoting by S(v) the sum of all the values of AS up to any assigned velocity v, (is) S(v) =E(OS)+ a constant, by which S(v) is calculated from AS, and then between two assigned velocities V and v, V AT, = vAv or rvvdv vgp gp' and if s feet is the advance of a shot whose ballistic coefficient is C, (17) s=C[S(V) - S(v)].

    75

    Denoting by So, so, these constant limiting values at p=o, we may obtain the values at any pressure by integrating the expressions (27) and (28) from co to v and from o to p respectively.

    76

    Denoting the value of T at any velocity v by T (v), then (8) T(v) = sum of all the preceding values of AT plus an arbitrary constant, expressed by the notation (9) T(v) =Z(Av)/gp+ a constant, or fdv/gp+ a constant, in which p is supposed known as a function of v.

    77

    Description UPDATE changes the values of the columns specified for all rows which satisfy condition.

    78

    Dilute solutions of substances such as cane-sugar, as we have seen, give experimental values for the connected osmotic properties - pressure, freezing point and vapour pressure - in conformity with the theoretical values.

    79

    Dividing by (0' - e"), and writing dp/do and dL/do for the limiting values of !the ratios (p' - p")/(o' - o") and (L' - L")/(o' - o"), we obtain the important relations s' - s"+dL/do= (v" - v')dp/do=L/o,..

    80

    Dom values in relating to God and people.

    81

    Dry mouth, transient rise of serum alanine aminotransferase values and sleeping disorders have been reported more frequently than in patients receiving placebo.

    82

    Each section then vibrates, and its amplitude goes through all its values in time given by 21rUT/A =2r, or T =A/U, and the frequency is U/A.

    83

    Employing the values of S calculated from dH/d0 = 0.305, he found that the product SQ was independent of both pressure and temperature for the range of his experiments.

    84

    Equating The Above Two Values Of X, We Have 15 N' 3 =19 M' 16; Whence N' =M' 4'N1 13.

    85

    Even in this case the series converges sufficiently to give the value of the root with considerable accuracy, while for higher values of m it is all that could be desired.

    86

    Even liberal humanists scrabble about for values, for a " politics of meaning " that can resist the steady encroachment of technological thinking.

    87

    Even smaller mean values have been found for the angle between the auroral and magnetic " zeniths " - as the two directions have been called - e.g.

    88

    Even where u is an explicit function of x, so that f x udx may be expressed in terms of x, it is often more convenient, for construction of a table of values of such an integral, to use finite-difference formulae.

    89

    Experimental Results.-In the following comparative table of the results of different observers the values are referred to lead.

    90

    Fermat's Problem is that x n +y n =z n is impossible for integral values of x, y and z when n is greater than 2.

    91

    Figure 9 shows the correlation between the integration values of visibility graph analysis and pedestrian movement patterns.

    92

    First, many engineering systems have performance requirements naturally stated in terms of the upper bounds on the steady-state variance values.

    93

    Following the first chart of lines of equal variation compiled by Edmund Halley in 1700, charts of similar type have been published from time to time embodying recent observations and corrected for the secular change, thus providing seamen with values of the variation accurate to about 30' of arc. Possessing these data, it is easy to ascertain by observation the effects of the iron in a ship in disturbing the compass, and it will be found for the most part in every vessel that the needle is deflected from the magnetic meridian by a horizontal angle called the deviation of the compass; in some directions of the ship's head adding to the known variation of the place, in other directions subtracting from it.

    94

    For elementary work the multiplicand may come immediately after the multiplier, as in D; the last figure of each partial product then comes immediately under the corre up to the multiplication of decimals and of approximate values of numbers, is to place the first figure of the multiplier under the first figure of the multiplicand, as in E; the first figure of each partial product will then come under the corresponding figure of the multiplier.

    95

    For fields of moderate intensity the first term of the expression is the more important, but when the value of H exceeds 12,000 or thereabouts, the second preponderates, and with the highest values that have been actually obtained, HI is several times greater than 21rI 2.

    96

    For given values of n and 0 we have two possible values of i,l provided n exceed a certain limit.

    97

    For he saw clearly that to be successful evolutionary ethics must involve the " transvaluation of all values," the " demoralization " of all ordinary current morality.

    98

    For if the line in question be the axis of y, the first process gives us the values of mx, and the second the value of 2(mx.x) or Z(mx2).

    99

    For N to be constant for all values of w, a' tan w'/ a tan w must also be constant.

    100

    For since A 11 A 22 -Ar 2 =,,a 33, with similar relations, we have a number of relations similar to A 11 A 22 =AM 2, and either Ars = +11 (A rr A ss) or - (A r .A ss) for all different values of r and s.

    101

    For the comparison of traditional with sham acupuncture, relative cortisol values were used.

    102

    For the fiscal year1906-1907the assessed value was $375,93 2, 447, indicating the drop in values immediately after the earthquake and fire, and, by comparison with the 1910 figures, the extent of recovery.

    103

    For the purpose of thus simplifying the operations of arithmetic, the base is taken to be Io, and use is made of tables of logarithms in which the values of x, the logarithm, corresponding to values of m, the number, are tabulated.

    104

    For these reasons most scientists (which includes scientifically inclined epidemiologists) take a fairly rigorous view of RR values.

    105

    For very homologous parameters, larger values, e.g. 25-35 are advised.

    106

    Forces acting on a Small Body in the Magnetic Field.-If a small magnet of length ds and pole-strength m is brought into a magnetic field such that the values of the magnetic potential at the negative and positive poles respectively are V 1 and the work done upon the magnet, and therefore its potential energy, will be W =m(V2-Vi) =mdV, which may be written W =m d s- = M d v= - MHo = - vIHo, ds ds where M is the moment of the magnet, v the volume, I the magnetization, and Ho the magnetic force along ds.

    107

    From the general formula (2), if A be the area of aperture, 102 = A2 / x2 f (7) The formation of a sharp image of the radiant point requires that the illumination become insignificant when, n attain small values, and this insignificance can only arise as a consequence of discrepancies of phase among the secondary waves from various parts of the aperture.

    108

    From the imperfect statistics available, the following tables of the class of goods imported and exported, and their respective values, were drawn up in 1901 by the late Mr Whittaker, The Times correspondent.

    109

    From this point of view the equation is a mere truism, its real importance resting on the fact that by attributing suitable values to the masses in, and by making simple assumptions as to the value of X in each case, we are able to frame adequate representations of whole classes of phenomena as they actually occur.

    110

    Further, if the alternations take place so slowly that the full maximum and minimum values of the magnetization are reached in the intervals between the reversals, there will again be no dissipation of energy.

    111

    Generally, if the area of a trapezette for which u is an algebraical function of x of degree 2n is given correctly by an expression which is a linear function of values of u representing ordinates placed symmetrically about the mid-ordinate of the trapezette (with or without this mid-ordinate), the same expression will give the area of a trapezette for which u is an algebraical function of x of degree 2n + 1.

    112

    Generally, you can accept the default values for the bounding area, but you should change those for the E-W and N-S resolution.

    113

    Great importance was attached to the mystical values of letters and numbers, especially the numbers 18 and 19 (" the number of the unity ") and 19 2 = 361 (" the number of all things ").

    114

    Halting just short of this analysis, the Assyrian ascribed syllabic values to the characters of his script, and hence, instead of finding twenty odd characters sufficient, he required about five hundred.

    115

    Hammer's first venture into the sci-fi and horror genre, but let down by the poor production values and a weak script.

    116

    He finds a remarkable agreement between the theoretical and experimental values, which it would be important to confirm with the more suitable instruments which are now at our disposal, as we might in this way get an estimate of the energy of translatory motion of the luminous molecules.

    117

    He proceeds to calculate from this expression the difference of vapour-pressures of ice and water in the immediate neighbourhood of the melting-point, but does not observe that the vapour-pressures themselves may be more accurately calculated for a considerable interval of temperature by means of formula (23), by substituting the appropriate values of the latent heats and specific heats.

    118

    He showed that there was, on the whole, a fair agreement between the values determined ballistic ally and those given by the formula B = 871-F.

    119

    Heinrich Eduard Heine has shown that the functions of higher orders may be considered as limiting values of the associated functions; this relation was discussed independently, in 1878, by Lord Rayleigh.

    120

    Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

    121

    Here the coefficients of 1 and l' may separately take all integral values, though as a general rule the coefficients a, b, c, &c. diminish rapidly when these coefficients become large, so that only small values have to be considered.

    122

    Hero's expressions for the areas of regular polygons of from 5 to 12 sides in terms of the squares of the sides show interesting approximations to the values of trigonometrical ratios.

    123

    His determination 2 of maximum and minimum values for the slowly varying planetary eccentricities was the earliest attempt to deal with the problem.

    124

    Honda subjected tubes of iron, steel and nickel to the simultaneous action of circular and longitudinal fields, and observed the changes of length when one of the fields was varied while the other remained constant at different successive values from zero upwards.

    125

    How can I express the values of a thing at once so essential and so immaterial.

    126

    However, very rare cases of modification of the INR values have been reported with concomitant use of Rozex and coumarin anticoagulants.

    127

    Hydrogen atoms for which 3D coordinates are available are taken into account and assigned U iso values of 0.06 Ã… 2.

    128

    I carefully worked at the values of the rhythmic arabesques, which I wanted to present in a single tone, without any modulation.

    129

    I don't ask people to adhere to my values, but I do ask that they respect my right to exercise my own.

    130

    If a more dilute acid than this be distilled, water passes over in excess and the residue in the retort reaches the above composition and boiling point; on distillation of a stronger acid, excess of acid passes into the distillate and the boiling point rises until the values of the constant boiling mixture are reached.

    131

    If G' and G" are the values of the function G for the two states in equilibrium at the same pressure and temperature, we must have G' =G".

    132

    If H l and H2 be the values of 47rinll and 47ri' - 'Z/ l for the 2 2 same induction B, it can be shown that the true magnetizing force is H = H l - (H 2 - H 1).

    133

    If in (21) we imagine that x, y, I denote infinitesimal rotations of a solid free to turn about a fixed point in a given field of force, it appears that the three normal modes consist each of a rotation about one of the three diameters aforesaid, and that the values of in are proportional to the ratios of the lengths of corresponding diameters of the two quadrics.

    134

    If J', J" represent the values of the function for unit mass of the substance of specific volumes v' and v" in the two states at temperature 0 and pressure and if a mass m is in the state v', and 1-m in the.

    135

    If L 1 is the internodal distance and U 1 the velocity in a gas, L and U being the corresponding values for air, we have U 1 /U =L1/L.

    136

    If such variations of density exist, they may introduce some uncertainty in the absolute values of results obtained with the ice calorimeter, and may account for some of the discrepancies above enumerated.

    137

    If suitable values are chosen for these constants, the formula can be made to represent the dispersion of ordinary transparent media within the visible spectrum very well, but when extended to the infra-red region it often departs considerably from the truth, and it fails altogether in cases of anomalous dispersion.

    138

    If the planes of one set divide it into m slabs of thickness h, and those of the other into n slabs of thickness k, so that H =mh, K = nk, then the values of x and of y for any ordinate may be denoted by xo+Oh and yo+Ok, and the length of the ordinate by uo, 0.

    139

    If the thickness of the film is greater than 2E, there will be a stratum of thickness c-2E in the middle of the film, within which the values of p and x will be pc and In the two strata on either side of this the law, according to which p and x depend on the depth, will be the same as in a liquid mass of large dimensions.

    140

    If the train of waves is reflected, the value of p at AB will be the sum of the values for the two trains, and will, on the average, be doubled.

    141

    If this is the case it is obvious that an equation of the form n=A - +a does, for small values of s, becomes identical with Deslandres' equation, a representing a constant which is large compared with unity.

    142

    If we adopt Thiele's view that each band is accompanied by a second branch for which s has negative values the complication is still further increased, but there does not seem to be sufficient reason to adopt this view.

    143

    If we count backwards, the intermediate values are £3, 7s.

    144

    If we do not know values of u outside the figure, we must use advancing or receding differences.

    145

    If we make CR=z, and suppose z to vary, the shape of the bubble of course remaining the same, the values of y and of a will change, but the other quantities will be constant.

    146

    If we only assign positive values to n and a, the band fades away from the head, the lines at first increasing in distance.

    147

    If we put for shortness 7 for the quantity under the last circular function in (I), the expressions (i), (2) may be put under the forms u sin T, v sin (T - a) respectively; and, if I be the intensity, I will be measured by the sum of the squares of the coefficients of sin T and cos T in the expression u sin T +v sin (T - a), so that I =u 2 +v 2 +2uv cos a, which becomes on putting for u, v, and a their values, and putting f =Q .

    148

    If we take as rough values a=21 X,o6 feet, g=32 foot-second units, we get a velocity of 36,500 feet, or about seven miles, per second.

    149

    If, for instance, the values of a and b, correct to two places of decimals, are 3 58 and 1 34, then 2 24, as the value of a - b, is not necessarily correct to two places.

    150

    If, instead of one phase, we have r phases, we must find out the values of r(n - I) quantities before we know the composition of the whole system.

    151

    In 1769, in a letter to Dr Franklin, he wrote some observations on the expectation of lives, the increase of mankind, and the population of London, which were published in the Philosophical Transactions of that year; in May 1770 he communicated to the Royal Society a paper on the proper method of calculating the values of contingent reversions.

    152

    In 1846 Peter Gray constructed a new table to 12 places, in which the factors were of the form I - (oi) r n, so that n had the values I, 2,.

    153

    In 1898 there began an increased activity in the mining of fluorspar, and Crittenden, Fayette and Livingston counties produced in 1902, 29,030 tons (valued at $143,410) of this mineral, in 1903 30,835 tons (valued at $153,960) and in 1904 19,096 tons (valued at $111,499), amounts (and values) exceeding those produced in any other state for these years; but in 1907 the quantity (21,058 tons) was less than the output of Illinois.

    154

    In 1900 about nine-tenths of the total land area was inclosed in farms; the value of farm property ($2,004,316,897) was greater than that of any other state; as regards the total value of farm products in 1899 Illinois was surpassed only by Iowa; in the value of crops Illinois led all the states, and the values of property and of products were respectively 35.6% and 87.1% greater than at the end of the preceding decade.

    155

    In a similar manner, by giving different values to the resistance 4 F R, any desired number of points R= between a and c in the curve can FIG.

    156

    In a word, although the position and speed of the planet and the direction of its motion are constantly changing, the values of the elements determined from these variables remain constant.

    157

    In any case results deduced from the annual wave must be expected to vary in different years according to the distribution of the rainfall, as the values represent averages depending chiefly on the diffusion of heat by percolating water.

    158

    In biological systems the reference values are often encoded genetically, in the binding constants of proteins for their allosteric effectors.

    159

    In consequence of it, the values formerly found were systematically too small by an amount which even now it is difficult to estimate with precision.

    160

    In Consequence Of The Solar And Lunar Equations, It Is Evident That The Epact Or Moon'S Age At The Beginning Of The Year, Must, In The Course Of Centuries, Have All Different Values From One To Thirty Inclusive, Corresponding To The Days In A Full Lunar Month.

    161

    In determining the dimensions of corresponding drums of cone pulleys it is evident that for a crossed belt the sum of the radii of each pair remains a constant, since the angle a is constant, while for an open belt a is variable and the values of the radii are then obtained by solving the equations r 1 = l/ir - c(a sin a + cos a) + 2c sin a, r 2 = l/7r - c(a sin a +cos_a) - lc sin a.

    162

    In each case the magnetograph only records the variation of the element, the absolute values being determined by making observations in the neighbourhood with the unifilar magnetometer and inclinometer.

    163

    In its modern form the theorem, which is true for all values of n, is written as (x +a) n -1+ I.

    164

    In Morgan's refinement calculus it appears with respect to initial variable values.

    165

    In most cases, a fall in serum ferritin values simultaneous with a rise in packed cell volume is observed.

    166

    In particular, the equality or inequality of values of two functions is more readily grasped by comparison of the lengths of the ordinates of the graphs than by inspection of the relative positions of their bounding lines.

    167

    In September 1869 the Central Pacific line was completed to Oakland, and in the next four years there was a crash in real estate values inflated during the railway speculation.

    168

    In some foreign words like cicala the ch- (tsh) value is given to c. In the transliteration of foreign languages also it receives different values, having that of tsh in the transliteration of Sanskrit and of is in various Slavonic dialects.

    169

    In spite of this difficulty, however, the values of the correlation coefficients so far obtained cluster fairly well round the mean value of all of them, which is almost exactly 2.

    170

    In the absence of statistical returns it is impossible to give the values of this branch of trade.

    171

    In the case of a trapezette, for instance, the data are the magnitudes of certain ordinates; the problem of interpolation is to determine the values of intermediate ordinates, while that of mensuration is to determine the area of the figure of which these are the ordinates.

    172

    In the case of corporations realty and machinery are taxed generally by the local authorities, and stock values by the commonwealth.

    173

    In the case of lists and schedules the numbers are only ordinals; but in the case of mathematical or statistical tables they are usually regarded as cardinals,though, when they represent values of a continuous quantity, they must be regarded as ordinals (§§ 26, 93).

    174

    In the case of texts from the oldest historical periods we encounter hundreds of names that are genuinely Sumerian, and here in view of the multiplicity of the phonetic values attaching to the signs used it is frequently difficult definitely to determine the reading of the names.

    175

    In the case of the brightness of large objects obviously the whole pencil is involved, and hence the clearness is the squares of these values, i.e.

    176

    In the case of the sphere, for instance, whose radius is R, the area of the section at distance x from the centre is lr(R 2 -x 2), which is a quadratic function of x; the values of So, Si, and S2 are respectively o, 7rR 2, and o, and the volume is therefore s.

    177

    In the case of those oils which do not belong to the rape oils and yet show abnormally low saponification values, the suspicion is raised at once that a certain amount of mineral oils (which do not absorb alkali and are therefore termed "unsaponifiable") has been admixed fraudulently.

    178

    In the first class come equations in a single unknown; here the function which is equated to zero is the Y whose values for different values of X are traced, and the solution of the equation is the determination of the points where the ordinates of the graph are zero.

    179

    In The First Two Cases The Successive Values (In Direct Or Reverse Order) Are £3, 5S.

    180

    In the following table are given the values of the diameters of the molecules of six substances with which it is easy to experiment in the gaseous state, these values being calculated in different ways from formulae supplied by the kinetic theory.

    181

    In the limit of dilution when n is very small compared with N this gives Raoult's experimental law that the relative lowering is n/N, which we deduced from the osmotic law, and conversely from which the osmotic law follows, while for more concentrated solutions agreement is obtained by assigning arbitrary values to a, which, as we have seen, is 5 in the case of cane-sugar.

    182

    In the Mahayana gnosticism was triumphant, and the historic values of Gautama's teaching and personality are lost.

    183

    In the preceding table, applicable to thin-walled tubes, the first column gives the values of T/gva', and the second column those of gM/Ta, all the quantities concerned being in C.G.S.

    184

    In this period the increase in the sterling equivalents would be proportionately greater than that of the currency values.

    185

    In what follows it will be assumed that the conditions of continuity (which imply the continuity not only of u but also of some of its differential coefficients) are satisfied, subject to the small errors in the values of u actually given; the limits of these errors being known.

    186

    In1855-1856a disastrous commercial panic crippled the city; and in 1858, when at the height of the Fraser river gold-mine excitement it seemed as though Victoria, B.C., was to supplant San Francisco as the metropolis of the Pacific, realty values in the latter city dropped for a time fully a half in value.

    187

    It Appears Probable That His Values For Higher Temperatures May Be Adopted With This Reduction, Which Is Further Confirmed By The Results Of Reynolds And Moorby, And By Those Of Liidin.

    188

    It can be added to the other code values to indicate an invisible glyph.

    189

    It could not escape notice that one and the same symbol, such as -1 (a - b), or even (a - b), sometimes did and sometimes did not admit of arithmetical interpretation, according to the values attributed to the letters involved.

    190

    It emphasizes the ultimacy of spiritual values; yet it demonstrates that the roots of spiritual life lie in conditions that are essentially existential.

    191

    It follows from this property of the function that we cannot have for log x a series which shall be convergent for all values of x, as is the case with sin x and cos x, for such a series could only represent a uniform function, and in fact the equation log(I +x) =x -",, x2 +3x 3 -4x 4 + is true only when the analytical modulus of x is less than unity.

    192

    It follows that, if we go on computing the elements a, b, c, d from the actual values of x, y, x' and y', at each moment when the planet is subject to the attraction of another body, they will no longer be invariable, but will slowly vary from day to day and year to year.

    193

    It implies a subsequent contribution, from all the parties concerned, rateably to the values of their respective interests, to make good the loss thus occasioned.

    194

    It is easy ti construct in this connection a proof that the n values of a2 an all real and positive.

    195

    It is easy, however, to correct the formula for these deviations, and to make it thermodynamically consistent with the characteristic equation (13) by substituting the appropriate values of (v-w) and L =H -h from equations (13) and (is) in formula (21) before integrating.

    196

    It is evident that this is a very delicate method of determining the wetness z, but, since with dry saturated steam at low pressures this formula always gives negative values of the wetness, it is clear that Regnault's numerical coefficients must be wrong.

    197

    It is generally called Dupre's formula in continental text-books, but he did not give the values of the coefficients in terms of the difference of specific heats of the liquid and vapour.

    198

    It is impossible to separate the values of silver and lead contained in the ore obtained at Broken Hill; the two metals are therefore shown together.

    199

    It is obvious that, both in its values and in its measurements, the survey's reckoning is very crude.

    200

    It is only necessary to consider the trapezette and the briquette, since the cases which occur in practice can be reduced to one or other of these forms. In each case the data are the values of certain equidistant ordinates, as described in §§ 43-45.

    201

    It is positive for all values of y and increases steadily from o toward as y increases from -co towards + oo.

    202

    It is probable that this estimate is generous according to the values of that time.

    203

    It is slightly toxic by skin exposure, with reported dermal LD 50 values of greater than 2000 to 3000 mg/kg in rabbits.

    204

    It is very probable that the absolute values of p in different metals are of the same sign and of the same order of magnitude, being large compared with the differences observed.

    205

    It may be noted that the elasticity E is only constant for small volume changes or for small values of dy/dx.

    206

    It may be readily deduced that the directions of minimum deviation for a pencil of parallel rays lie on the surface of cones, the semi-vertical angles of which are equal to the values given in the above table.

    207

    It may be taken as an axiom that the variation of minimum discharges from their mean values increases as the separate areas diminish.

    208

    It should be borne in mind that in early times the larger values, such as minae, would be transmitted by commerce, while after the introduction of coinage the lesser values of shekels and drachmae would be the units; and this needs notice, because usually a borrowed unit was multiplied or divided according to the ideas of the borrowers, and strange modifications thus arose.

    209

    It was an incredibly rapid evolution, driven by avarice, compulsion, globalization, and changing societal values!

    210

    It was employed as a purely empirical formula by Bertrand and Barus, who calculated the values of the coefficients for several substances, so as to obtain the best general agreement with the results of observation over a wide range, at high as well as low pressures.

    211

    Its specific gravity varies according to the method employed for its preparation, the extreme values being 8.279 and 9.25.

    212

    Kriimmel's more recent calculations (see Ocean) give values somewhat higher than those of Karstens.

    213

    Land values would fund the exchequer and today's taxes would be lifted or substantially abated.

    214

    Laplace published in 1779 the method of generating functions, the foundation of his theory of probabilities, and the first part of his Theorie analytique is devoted to the exposition of its principles, which in their simplest form consist in treating the successive values of any function as the coefficients in the expansion of another function with reference to a different variable.

    215

    Let KA and LB be the positions of NP corresponding to the extreme values of x.

    216

    Let us imagine that the systems had the initial values of their co-ordinates and momenta so arranged that the number of systems for which the co-ordinates and momenta were within a given range was proportional simply to the extension of the range.

    217

    Let us suppose that an infinite number of exactly similar systems start simultaneously from all possible values of pi, q1,

    218

    Like the 210 Pb deposition rate, the total deposition velocity exhibits a seasonal pattern with maximum values in summer.

    219

    Local devices will have values of the device file, baud rate, and file descriptor for the device.

    220

    Look at all of the values for the silver halides.

    221

    Mantel statistics may turn out significant even if they have values that would seem very low for a Pearson product-moment correlation between two variables.

    222

    Maxwell made a comparison between the optical refractive index and the dielectric constant of paraffin wax, and the approximation between the numerical values of the square of the first and that of the last was sufficient to show that there was a basis for further work.

    223

    Military dictatorship and pronouncements of Iranian ayatollahs are not supported by Islamic values.

    224

    Modern determinists differ from the earlier advocates of their theory in their endeavour to exhibit at least the compatibility of morality with the absence of freedom, if not the enhancement of moral values which, according to some of its advocates, follows upon the acceptance of the deterministic account of conduct.

    225

    Most respondents' views on families tended to collect together into one of two opposed and logically coherent sets of values and opinions.

    226

    My purpose in this chapter will not be to persuade the reader of any political doctrine of trade; please apply your own political and social values as you see fit.

    227

    Negative values of n must be interpreted by a streaming motion on a parallel plane at a level slightly different, as on a double Riemann sheet, the stream passing from one sheet to the other across a cut SS' joining the foci S, S'.

    228

    Newton gave no proof, and it was in the Ars Conjectandi (1713) that James Bernoulli's proof for positive integral values of the exponent was first published, although Bernoulli must have discovered it many years previously.

    229

    No such values are assumed in the two principles of radical constructivism.

    230

    Normal lab values and when to change Total bilirubin (normal range) 3 -- 17 mmol/l.

    231

    Now 2 7rmpi,t(c) represents the attraction between a particle m and the plane surface of an infinite mass of the liquid, when the distance of the particle outside the surface is c. Now, the force between the particle and the liquid is certainly, on the whole, attractive; but if between any two small values of c it should be repulsive, then for films whose thickness lies between these values the tension will increase as the thickness diminishes, but for all other cases the tension will diminish as the thickness diminishes.

    232

    Now by the theory of symmetric functions, any symmetric functions of the mn values which satisfy the two equations, can be expressed in terms of the coefficient of those equations.

    233

    Now we may resolve these trains by Fourier's theorem into harmonics of wave-lengths X, 2X, 3A, &c., where X=2AB and the conditions as to the values of y can be shown to require that the harmonics shall all have nodes, coinciding with the nodes of the fundamental curve.

    234

    Now, consider the values of these same variables expressing the position of the planet at a second point Q, and the speed with which it passes that point.

    235

    Of the foreign-born 4504 were ' Statistics for 1890 represent the value of all manufactures; those for 1900 (from this point) and 1905 show values under the factory system, excluding neighbourhood industries and hand trades.

    236

    On a good hi-fi the production values are excellent.

    237

    On assuming the directorship of the Nautical Almanac he became very strongly impressed with the diversity existing in the values of the elements and constants of astronomy adopted by different astronomers, and the injurious effect which it exercised on the precision and symmetry of much astronomical work.

    238

    On examining the diagram it will be observed that the maximum compressive stresses are parallel to and near to the down stream face of the section, which values are approximately equal to the maximum value of the vertical stress determined by the law of uniformly varying stress divided by the cosine squared of the angle between the vertical and the resultant.

    239

    On some occasions, owing to the sudden melting of a surface layer of ice and snow, a large quantity of cold water, percolating rapidly, gave for a short time values of the diffusivity as high as.

    240

    On the basis of the principles stated above, the most obvious method of tabulating the observations would be to give the values E t of the E.M.F.

    241

    One method is to construct a table for interpolation of x in terms of u, and from this table to calculate values of x corresponding to values of u, proceeding by equal intervals; a quadrature-formula can then be applied.

    242

    One of the most important values in oil testing is the iodine value.

    243

    Other " Galois " groups were defined whose substitution coefficients have fixed numerical values, and are particularly associated with the theory of equations.

    244

    Other important manufactures, with their product values in 1900 and in 1905, are iron and steel ($5,004,572 in 1900; $6,167,542 in 1905); railway cars ($4,248,029 in 1900; $5,739,071 in 1905); packed meats ($5, 1 77, 16 7 in 1900; $5, 6 93,73 1 in 1905); foundry and machine shop products ($4,434,610 in 1900; $4, 6 99,559 in 1905); planing mill products, including sash, doors and blinds ($1,891,517 in 1900; $4,593, 2 5 1 in 1905-an increase already remarked); carriages and wagons ($2,849,713 in 1900; $4,059,438 in 1905); tanned and curried leather ($3,757,016 in 1900; $3,952,277 in 1905); and malt liquors ($3,186,627 in 1900; $3,673,678 in 1905).

    245

    Others are run by different faith groups, or are not faith-based, but they all share similar values.

    246

    P= 54 E 1=57 E, Or (57 E) 7 R' By Substituting One Or Other Of These Values Of P And 1, According A; The Case May Be, In The Formula P = P (L L), We Shall Have P, Orthe Number Of Days From The 21St Of March To Easter Sunday.

    247

    Phonetic values known, Assyrian was found to be a Semitic language cognate to Hebrew.

    248

    Primary, secondary and spurious bows were formed, and their radii measured; a comparison of these observations exhibited agreement with Airy's analytical values.

    249

    Priority values define a numerical rank or ordering of the threads that a thread scheduler can use to resolve simultaneous contention for processing resources.

    250

    Professor Claxton Fidler (Treatise on Bridge Construction, 1887) has made a very careful theoretical analysis of the weights of bridges of different types, and has obtained the following values for the limiting spans.

    251

    Purposes and values To a large extent strengthening local governance is about improving relationships between those who govern and those who are governed.

    252

    Putting in these values and integrating we have, neglecting terms involving 0', P=12.06 0-0.021 O s where P is the osmotic pressure in atmospheres.

    253

    Putting the values of F in (1) and solving for f max ., we get for the breaking stress of a bar subjected to repetition of varying stress, f max.

    254

    Realty values rose ten-fold in 1849.

    255

    Recent observations give smaller values of both than those made between 1890 and 1900, and there is no reason to suppose either to be constant.

    256

    Rydberg favours the former view, but he does not attempt to obtain any very close approximation between the observed and calculated values of the frequencies.

    257

    Sayce's phonetic values and interpretations of determinatives are his best assured achievements.

    258

    Seeking then, for this curve, the values, n, e, of the class, number of inflections, and number of double tangents, - first, as regards the class, this is equal to the number of tangents which can be drawn to the curve from an arbitrary point, or what is the same thing, it is equal to the number of the points of contact of these tangents.

    259

    Seubert (Ber., 1888, 21, p. 1839) from the analysis of potassium and ammonium osmichlorides, the values obtained being approximately 191.

    260

    Silver values ran, in the years 1880-1902, from 11.3 to 23.1 million dollars; and the quantities in the same years from 11.6 to 26.3 million ounces.

    261

    Since Much Smaller Values Are Found For More Complex Molecules, We May Suppose That, In These Cases, The Energy Of Rotation Of A Polyatomic Molecule May Be Greater Than Its Energy Of Translation, Or Else That Heat Is Expended In Splitting Up Molecular Aggregates, And Increasing Energy Of Vibration.

    262

    Since the orbit is unchanged so long as no disturbing force acts, it follows that the elements determined by means of the two sets of values of the variables are in this case the same.

    263

    Since the values of the co-ordinates and momenta at any instant during the motion may be treated as " initial " values, it is clear that the " extension " of the range must remain constant throughout the whole motion.

    264

    Since y must vanish at the upper end (x 1), the admissible values of a are determined by o2=gz2/41, Jo(z)=o.

    265

    So perfectly does the modern Japanese embroiderer elaborate his scheme of values that all the essential elements of pictorial effects chiaroscuro, aerial perspective and atmosphere are present in his work.

    266

    So That J W=6 (Y) R 3 (113 0 3) R (Rejecting Sevens), The Values Of Which Obviously Circulate In A Period Of 7 Times 30 Or 210 Years.

    267

    Soon he settled in Haarlem, as engraver on copper, and produced works which retain high values.

    268

    Starting with the experimental values of p, for a standard projectile, fired under standard conditions in air of standard density, we proceed to the construction of the ballistic table.

    269

    Steinmetz's formula may be tested by taking a series of hysteresis curves between different limits of B,' measuring their areas by a pianimeter, and plotting the logarithms of these divided by 47r as ordinates against logarithms of the corresponding maximum values of B as abscissae.

    270

    Subsequent investigations naturally modified the numerical values upon which this nomenclature was based, but without altering the order of the periods.

    271

    Substituting these values and neglecting powerssof dy/dx above the second we get CU P= 17.

    272

    Substituting these values, we find that the relative lowering of vapour pressure in a very dilute solution is equal to the ratio of the numbers of solute and solvent molecules, or (p - p')/p = n/N.

    273

    Such measurements of fraternal correlation in the lower animal as Pearson and his pupils have at present made give values very close to 2.

    274

    Taking the difference between the values of H for any two temperatures 1 " Latent Heat of Steam," Phil.

    275

    Taking the refractive index of water for the red rays as 0;, and for the violet rays as 1 r, we can calculate the following values for the minimum deviations corresponding to certain assigned values of n.

    276

    Target values were determined by isotope dilution GCMS at Professor Thienpont's laboratory in Gent.

    277

    Taxation for ordinary municipal purposes is limited to 1 Y„ on property values, extra taxes being allowed for unusual purposes; but the city cannot be bonded without the affirmative vote of two-thirds of the electorate.

    278

    Taxation has been very erratic. From 1877 to 1893 the total assessment rose steadily from $3,453,946 to $238,722,417; it then fell at least partly owing to the depreciation in and uncertain values of mining property, and from 1894 to 1900 fluctuated between 192.2 and 216.8 million dollars; in 1901 it was raised to $465,874,288, and fluctuated in the years following; the estimated total assessment for 1907 was $365,000,000.

    279

    Tell that to the victims of 20th century fascism and communism - never mind the almost total absence of such values in previous centuries.

    280

    The "Asian miracle" and the discourse on Asian values questioned the dominance of the western development paradigm.

    281

    The Absolute Value Of The Specific Heat Deduced Necessarily Depends On The Absolute Values Of The Electrical Standards Employed In The Investigation.

    282

    The accompanying table is given by Lommel, in which the first column gives the roots of J2(z) =o, and the second and third columns the corresponding values of the functions specified.

    283

    The aggregate values of farm products in 1899 was $219,296,970, and this total consisted of $117,012,895 in crops (area in crops, 14,827,620 acres), $97,841,944 in animal products, and $4,442,131 of forest by-products of farm operations.

    284

    The agreement between the observed and calculated values in the last two columns is as good as can be expected considering the great difficulty of measuring such small quantities of heat.

    285

    The agreement between the observed and calculated values of the critical speeds was in most cases quite remarkable.

    286

    The agreement of the values obtained for the same quantity by different methods provides valuable confirmation of the truth of the molecular theory and of the validity of the methods of the kinetic theory of gases.

    287

    The amino acid substitution matrix contains match values for the comparison of all possible amino acid substitution matrix contains match values for the comparison of all possible amino acids.

    288

    The annual output of Victoria declined until the year 1892, when it began to increase rapidly, but not to its former level, the values for 1900 and 1905 being £3,142,000 and £3,138,000.

    289

    The articles mentioned in the edict, which is chiefly interesting as giving their relative values at the time, include cereals, wine, oil, meat, vegetables, fruits, skins, leather, furs, foot-gear, timber, carpets, articles of dress, and the wages range from the ordinary labourer to the professional advocate.

    290

    The coinage began before the Roman conquest was completed; the monetary system resembles that of the Roman republic, with values analogous to denarii and quinarii.

    291

    The complete and rapid collapse of external values precipitates instant catatonia.

    292

    The components for any other combination of two are found by taking the algebraic difference of the values with respect to lead.

    293

    The confusion has been further increased of late years by attempts, as far as towns are concerned, to find a new subject of taxation in what are called site values, as if rates themselves were not in reality an appropriation by the state of a portion of the whole value of the property, subject to which all the other interests exist.

    294

    The constant may be any arbitrary number, as in using the table the difference only is required of two tabular values for an initial velocity V and final velocity v; and thus (to) T(V) - T(v) = Ev Ov/gp or fvdv/gp; and for a shot whose ballistic coefficient is C (II) t=C[T(V) - T(v)].

    295

    The definitions of the logarithmic and exponential functions may be extended to complex values of x.

    296

    The differences OD and DI are thus calculated, while the values of D(v) and I (v) are obtained by summation with the arithmometer, and entered in their respective columns.

    297

    The early 'nineties were marked by an economic collapse of false values, and succeeding years by a painful recovery of stable conditions.

    298

    The early observance of the relative values may be inferred from Num.

    299

    The effect of insufficient disinfection is illustrated, together with the effects of high pH values causing reduced effectiveness of a residual disinfectant.

    300

    The enthalpy values were obtained by integrating the specific heat capacity polynomial for each compound.

    301

    The Environment Agency issued two new reports covering volatile organic compounds and new Soil Guidance Values covering contamination from toluene and ethyl benzene.

    302

    The Euler-Maclaurin formula (§ 75) assumes that the bounding values of u', u"',..

    303

    The experiments on solids lead to certain laws of elasticity expressed in terms of coefficients, the values of which can be determined only by experiments on each particular substance.

    304

    The exponential function, which may still be defined as the inverse of the logarithmic function, is, on the other hand, a uniform function of x, and its fundamental properties may be stated in the same form as for real values of x.

    305

    The expression for the change of intrinsic energy E between any given limits poOo to po is readily found by substituting these values of the specific heats in equations (II) or (13), and integrating between the given limits.

    306

    The expressions in square brackets are in each case to be taken as relating to the extreme values x =xo and x=xm, as in §§ 75 and 76.

    307

    The extreme divergence of the resulting values of the diffusivity, including eight independent series of measurements on different days, was less than I %.

    308

    The file must contain columns of values, using a consistent delimiter.

    309

    The final values for these fields are available to the initiator in its drag callback structures.

    310

    The first column contains the symbols of the various elements which were added to the iron, and the second the percentage proportion in which each element was present; the sample containing 0.03% of carbon was a specimen of the best commercial iron, the values obtained for it being given for comparison.

    311

    The first depend on the mean longitudes of the planets, and always tend back to their original values when the planets return to their original positions in their orbits.

    312

    The following table gives the values of this constant and several expressions involving it Useful fractional approximations are 22/7 and 355/113.

    313

    The following table of values, calculated from these formulae, is taken from the Brit.

    314

    The former values mental lucidity while the latter is highly analytic and intended to sharpen awareness.

    315

    The function 0(z) is insensible for all sensible values of z.

    316

    The function II(f) is also insensible for sensible values of f, but for insensible values of f it may become sensible and even very great.

    317

    The function installs a forward type converter to convert string values to numerical representation type values.

    318

    The G edit descriptor is a generalized edit descriptor which can be used to input or output values of any intrinsic type.

    319

    The general question of food values is discussed in the article Dietetics; see also Nutrition.

    320

    The general results of the work appeared to support Tait's hypothesis that the effect was proportional to the absolute temperature, but direct thermoelectric tests do not appear to have been made on the specimens employed, which would have afforded a valuable confirmation by the comparison of the values of d 2 E/dT 2, as in Jahn's experiments.

    321

    The geometric mean of a continuous variable is calculated by taking the antilog of the mean of the logged original values.

    322

    The give and take of thought had by a swift transformation of values come by something more than its own.

    323

    The government must reflect the different values these groups have.

    324

    The Heat Loss Hdo Is Determined And Eliminated By Varying The Flow Of Liquid And The Electric Current Simultaneously, In Such A Manner As To Secure Approximately The Same Rise Of Temperature For Two Or More Widely Different Values Of The Flow Of Liquid.

    325

    The historic and religious values of the doctrine of the Trinity may be illustrated by way of contrast.

    326

    The history of some of the alphabetic signs is still very obscure but a sufficient number of them have been explained to make it nearly certain that the values of all were obtained on the same principles.i Some of the ancient words from which the phonetic values were derived probably fell very early into disuse, and may, never be discoverable in the texts that have come down to us.

    327

    The Hudson's Bay Co.'s sales take place before the others, and, as no reserves are placed on any lot, the results are taken as exactly indicating current values.

    328

    The importance shown to attach to the Spanish versant has greatly modified the values formerly assigned to the area and mean elevation of the Pyrenees.

    329

    The income from the state school fund is divided among the counties on the basis of the total number of days of attendance of the public school pupils; the legislative appropriation, however, is apportioned among the counties according to their assessed property values.

    330

    The increase in land values by irrigation from 1890 to 1900 is estimated at $3,500,000.

    331

    The initial values of T, S, D, I, A must be accepted as belonging to the anterior portion of the table.

    332

    The intermediate values obtained by the successive additions are different according as we work from the left or from the right, being £9, 5s.

    333

    The justification of this assumption lies in the fact that the values of c found in this manner, when substituted in equation (25) for the saturation-pressure, give correct results for p within the probable limits of error of Regnault's experiments.

    334

    The largest positive and negative values recorded are met with during disturbed weather.

    335

    The latent heat L (formula 9) is found by subtracting from H (equation 15) the values of the heat of the liquid h given in the same article.

    336

    The Mean Specific Heat, Over Any Range Of Temperature, May Be Obtained By Integrating The Formulae Between The Limits Required, Or By Taking The Difference Of The Corresponding Values Of The Total Heat H, And Dividing By The Range Of Temperature.

    337

    The modern methods of oil testing rest chiefly on so-called "quantitative" reactions, a number of characteristic "values" being determined which, being based on the special nature of the fatty acids contained in each individual oil or fat, assist in identifying them and also in revealing adulteration.

    338

    The motion being assumed to be small, the tensions of the two strings may be taken to have their statical values Mgb/(a+b), Mga/(a+b), where a, b are the distances of G from the two threads.

    339

    The news comes as people grow increasingly concerned at the attempt of Americans to impose their values on the World Wide Web.

    340

    The only cases, however, in which we have experimental values of this quantity are when the substance is either liquid and surrounded by similar liquid, or gaseous and surrounded by similar gas.

    341

    The optional id attribute requires values of type id attribute requires values of type ID.

    342

    The osmotic pressure (defined as the difference in the hydrostatic pressures of the solution and solvent when their vapour pressures are equal and they are consequently in equilibrium through a perfect semi-permeable membrane) may also depend on the absolute values of the hydrostatic pressures, as may the vapour pressure of the liquids.

    343

    The other method starts from the observed values of the periods, and establishes a differential equation from which these periods may be derived.

    344

    The output bad-pixel flag is set to indicate no bad values in the data and variance arrays.

    345

    The part corresponding to negative values of u is similar, OA being a line of symmetry.

    346

    The precision value specifies the number of fraction digits in the result. | Pops three values and computes a modular exponentiation.

    347

    The present writer, therefore, in his Theory of Optics, adopted different names, and called the series respectively the " Trunk," the " Main Branch " and the " Side Branch," the main branch being identical with the second subordinate series; the limit of frequency for high values of s is called the " root " of the series, and it is found in all cases that the two branches have a common root at some point in the trunk.

    348

    The principal axes of the thermal ellipsoid can be obtained from the U values via a principal axes transformation.

    349

    The probable error in neglecting any variation of specific heat is small, and we may calculate L from the values of Lo - (s - s') (To - T), where s - s' is about 0.5 calories.

    350

    The process is simplified by writing down the general formula first and then substituting the values of u.

    351

    The question now arose of the origin of the discrepancy between the smaller values by theory, and the supposed values of 12" derived from ancient eclipses.

    352

    The relative values of hand and machine work are often discussed.

    353

    The remaining consonants have the same phonetic values as in English.

    354

    The Reverend Green says evolutionists regard humans as simply an unfeeling concourse of atoms, so how can we have ethical or esthetic values.

    355

    The same conditions have made of importance general theories, such as the single tax theory of Henry George, for taxing landed values.

    356

    The saponification values of most oils and fats lie in the neighbourhood of 195.

    357

    The scale values of the records given by the horizontal and vertical force magnetographs are determined by deflecting the respective needles, either by means of a magnet placed at a known distance or by passing an electric current through circular coils of large diameter surrounding the instruments.

    358

    The second consists in taking a comparatively simple expression obtained in this way, and introducing corrections which involve the values of ordinates at or near the boundaries of the figure.

    359

    The second volume (1817) relates to the Eulerian integrals, and to various integrals and series, developments, mechanical problems, &c., connected with the integral calculus; this volume contains also a numerical table of the values of the gamma function.

    360

    The side of the casing which is next to the seller is pierced centrally by two slots, one a vertical slot through which the weight is read on the drum, and the other a horizontal slot, half of it on each side of the vertical slot, through which the money values of the goods, corresponding to the different rates per lb, are read.

    361

    The third method seeks to avoid the difficulty by using the numerical values of the elements instead of their algebraic symbols.

    362

    The total foreign trade in 1908 amounted to $9,778,810 imports and $14,560,830 exports, the values being in U.S. gold.

    363

    The transferType is the type of primitive array used to represent pixel values.

    364

    The two outer arcs of the chart are occupied by the scales for the weight of the goods in lb and oz., and the rest of the chart is occupied by a series of 25 concentric arcs which show the money values of the goods for 25 rates per lb.

    365

    The use of quadrature-formulae is important in actuarial work, where the fundamental tables are based on experience, and the formulae applying these tables involve the use of the tabulated values and their differences.

    366

    The value of products in 1900 ($79.6 millions) was 44% of the total farm values ($181.4 millions).

    367

    The value of U will continually oscillate between the extreme values +a and - a, going through a series of changes in the same period in which the angle nt+Lo goes through a revolution.

    368

    The values are 1.5 times the Attic (Athenaeus, Theophrastus, &c.) (2, 18), or more closely 11 to 12 times (1/8)th of Attic. Hence, the Attic cotyle being 17.5 cub.

    369

    The values assigned to H were calculated from H= 2ni/r, and ranged from 3.9 to 585, but inasmuch as no account was taken of any 2 Since in most practicable experiments H 2 is negligible in comparison with B 2, the force may be taken as B 2 /87r without sensible= error.

    370

    The values assigned to the atomic susceptibilities of most of the known elements are appended.

    371

    The Values Deduced In This Manner For The Equivalent Agreed As Closely As Could Be Expected Considering The Impossibility Of Regulating The External Condition Of Temperature And Moisture With Any Certainty In An Engine Room.

    372

    The values formed from direct copying have usually been created either mechanically or subconsciously, and hence are usually enshrouded in confusion and self-deception.

    373

    The values given in the column headed " cooled " are those found by Mitchell with one end of the bar cooled.

    374

    The values here given are from some Persian buildings (25), which indicate 21.4, or slightly less; Oppert's value, on less certain data, is 21.52.

    375

    The values honoured by the rulers of the world must naturally impress themselves upon the subject multitudes.

    376

    The values obtained are shown below.

    377

    The values obtained in this way for waves having a period of one second and a wave-length of half an inch agreed very well with those obtained in the same cast-iron by Angstrom's method (see below), with waves having a period of i hour and a length of 30 in.

    378

    The values of coin and notes are expressed in multiples of the real (plural reis), a monetary unit which does not actually exist.

    379

    The values of d 2 E/dt 2 agree as well as can be expected, considering the difference of the ranges of temperature and the great variety in the methods of observation adopted; they are calculated assuming the parabolic formula, which is certainly in many cases inadequate.

    380

    The values of imports and exports (including bullion, specie and re-exports) in pesos of 18d.

    381

    The values of the coinage are pieces of 5 and 10 centimes in bronze, of 50 centimes, 1 franc and 2 francs in silver, of 10 francs and 20 francs in gold.

    382

    The values of the corresponding functions for the liquid or solid cannot be accurately expressed, as the theoretical variation of the specific heat is unknown, but if we take the specific heat at constant pressure s to be approximately constant, and observe the small residual variation dh of the total heat, we may write F'=s'D+dh+B'.

    383

    The values of the first ten of Bernoulli's numbers are B1= t, B2= 1, B3 =412, B4 =30, B5 =6 = 6 9 1 B7 = l, B =3 =4 4 fl, IV.

    384

    The values of the permeability corresponding to the highest and lowest temperatures are given in the following table.

    385

    The values of the saturation-pressure given in the last column are calculated by formula (25), which agrees with Regnault's observations better than his own empirical formulae.

    386

    The values of the saturation-pressure have been ver y accurately determined for the majority of stable substances, and a large number of empirical formulae have been proposed to represent the relation between pressure and temperature.

    387

    The values of the specific heat in the next column are calculated for a constant pressure equal to that of saturation by formula (16) to illustrate the increase of the specific heat with rise of pressure.

    388

    The Values Of The Total Heat Observed By Regnault, As Reduced By Shaw, Also Show A Very Fair Agreement, Considering The Uncertainty Of The Units.

    389

    The values of x and y are different, unless V (qq o) = o.

    390

    The values recognized at the court would naturally be recognized in noble families generally, and Philip chose Aristotle to be the educator of his son.

    391

    The values so found are necessarily erroneous if formula (io) for the total heat is wrong.

    392

    The values thus found agreed in the main with Raoult's law for dilute solutions (see Solutions).

    393

    The values we address today do not only resonate with people with deeply held religious convictions.

    394

    The visual, ecological and heritage values of some of the finest areas have been recognized in a variety of statutory and non-statutory designations.

    395

    The weight of the goods is recorded by means of an index pointer fixed to the casing on one side of the vertical slot, and the money values are opposite the figures defining the rates per lb, which are marked on the edge of the casing below the hori zontal slot.

    396

    The weights and money values are arranged on a vertical chart, the sides of which converge towards the pivoting centre of an index arm which is actuated by the weighing mechanism.

    397

    Their revolt against parental values meant an equal disrespect for the social oppression of the 1950s.

    398

    Then the result proves that the values of the coordinates and momenta remain distributed in this way throughout the whole motion of the systems. Thus, if there is any characteristic which is common to all the systems after the motion has been in progress for any interval of time, this same characteristic must equally have been common to all the systems initially.

    399

    Then, if the true moments are denoted by Pi, v 2, ..., their values are given by vi ?Pl P2 - 11.

    400

    There are postage stamps of four values.

    401

    There are reasons to believe that these values were considerably understated.

    402

    There are six ancient versions of various values.

    403

    There are very considerable differences between the values assigned by different observers, sometimes no doubt due to differences in method, but in most cases unquestionably depending on variations in the quality of the specimens examined.

    404

    There is a want of depth in Christian experience, in the power of realizing relative spiritual values in the light of the master principle involved in the distinctively Christian consciousness, such as could raise Clement above a verbal eclecticism, rather than comprehensiveness, in the use of Apostolic language.

    405

    There is great uncertainty as to the exact values of all ancient standards of volume -- the only precise data being those resulting from the theories of volumes derived from the cubes of feet and cubits.

    406

    There is no doubt that under average conditions of atmospheric density, the .005 should be replaced by 003, for many independent authorities using different methods have found values very close to this last figure.

    407

    There was a further complication in that each one of these characters had at least two different phonetic values; and there were other intricacies of usage which, had they been foreknown by inquirers in the middle of the 19th century, might well have made the problem of decipherment seem an utterly hopeless one.

    408

    These "values," together with other useful methods, are enumerated in the order of their utility for the purposes of testing.

    409

    These are (1) the origin of the cuneiform signs, (2) the etymology of the phonetic values, and (3) the elucidation of the many and varied primitive sign-meanings.

    410

    These cases are really included in the equation if we substitute the proper values of n or m.

    411

    These ethical values can be found in many forms of organization, but they are particularly cogent and undeniable within Co-operative enterprises.

    412

    These high saponification values are due to the presence of (glycerides of) volatile fatty acids, and are of extreme usefulness to the analyst, especially in testing butter-fat for added margarine and other fats.

    413

    These high values render hardened tungsten-steel particularly suitable for the manufacture of permanent magnets.

    414

    These limit the admissible values of a-, which are in general determined by a transcendental equation corresponding to the determinantal equation (6).

    415

    These observations give values for S ranging from 0.30 to o 46, with a mean value 0.3778.

    416

    These values are assumed to be independent, so we have 2n(n - I) derived units of the second species or order.

    417

    These values are called dharma for the people falling under that category.

    418

    These values depend on the density of protons and neutrons, which are collectively called baryons.

    419

    These values may vary within certain limits for different specimens.

    420

    These will suffice to give a general idea of the mean values met with.

    421

    They can standardize in a thousand more ways to a world economy, while maintaining their values, traditions, and distinctions.

    422

    They give the following numerical values The error of the formula for water is less than t mm.

    423

    They then foment communal massacres, and then declare themselves champions of civilised values.

    424

    This allows some experimentation without losing previously refined values.

    425

    This and the difficulty of obtaining accurate experimental results fully account for the differences inter se in the values of the quantities calculated.

    426

    This being inconvenient for comparison with sun-spots, use was made of his monthly values to obtain corresponding data for years commencing with January.

    427

    This class of skin is the most expensive fur in the world, reckoning values by a square foot unit.

    428

    This division of values brings us to the second point in his philosophy, his theory of what he called " vital series," by which he assayed to explain all life, action and thought.

    429

    This equation defines log x for positive values of x; if o the formula ceases to have any meaning.

    430

    This equation is found experimentally to be capable of representing the relation between p, v, and T over large ranges of values.

    431

    This Gives A Series Of Ratios 5/3, 7/5, 9/7, Ii/9, &C., For I, 2, 3, 4, &C., Atoms In The Molecule, Values Which Fall Within The Limits Of Experimental Error In Many Cases.

    432

    This has only been possible owing to the temper of the Oriental mind which, while clinging tenaciously to its rites, values dogma only in so far as it is expressed in rites.

    433

    This last value agrees very closely with a determination made by Gill at the Cape of Good Hope, and most other recent determinations give values exceeding 20.50".

    434

    This makes Z values incomparable across methods, and needed to be corrected for.

    435

    This method transforms color values using relative colorimetry, as defined by the ICC Specification.

    436

    This quantity is now, as the result of further experiments, added to the values of h, and also represented in the formula for the specific heat itself by the cubic term.

    437

    This relationship, which now embraces ethical as well as spiritual and material values, deserves detailed consideration.

    438

    This result at once disposes of the possibility of all the systems acquiring any common characteristic in the course of their motion through a tendency for their co-ordinates or momenta to concentrate about any particular set, or series of sets, of values.

    439

    This separation causes a difference of potential, which can be calculated and is found to agree with the values obtained experimentally.

    440

    This traditional butchery prides itself on its personal service and commitment to old fashioned values.

    441

    This Would Indicate That Rowland'S Corrected Values Should, If Anything, Be Lowered.

    442

    Thus after a time dt the values of the coordinates and momenta of the small group of systems under consideration will lie within a range such that pi is between pi +pidt and pi +dp,+(pi+ap?dpi) dt „ qi +gidt „ qi+dqi+ (qi +agLdgi) dt, Thus the extension of the range after the interval dt is dp i (i +aidt) dq i (I +?gidt).

    443

    Thus any desired number of corresponding values of H and B can be easily and quickly found.

    444

    Thus even when the argument is real log x has an infinite number of values; for putting 71 =o and taking positive, in which case a = o, we obtain for log the infinite system of values log +2n7ri.

    445

    Thus in the case of a spring for which the values of the quantities were W =7 lb, n = 51, R = .30 in., .038 in., E = io,50o,000, the formula gives extension =1.764 in., while direct experiment gave extension =1.75 in.

    446

    Thus liberation and escape are core values of the culture, including liberation form confinement, cars, offices, schedules, relationships.

    447

    Thus the contribution to the total impulsive pressure exerted on the area dS in time dt from this cause is mu X udtdS X (11 3 m 3 /,r 3)e hm (u2+v2+w2 )dudvdw (I o) The total pressure exerted in bringing the centres of gravity of all the colliding molecules to rest normally to the boundary is obtained by first integrating this expression with respect to u, v, w, the limits being all values for which collisions are possible (namely from - co too for u, and from - oo to + oo for v and w), and then summing for all kinds of molecules in the gas.

    448

    Thus there appear to be discontinuities in the values of y.

    449

    Thus, the photometric data in this table are not strictly homogeneous, and should be considered to be approximate values only.

    450

    To be a bourgeois careerist, that is to be committed to a one-sided set of values.

    451

    To deaden the vibration of the springs after a load has been placed on the platform, and thus to enable the weights and values of the goods to be read rapidly, the piston of a glycerin cylinder is attached to the end of the lever which pulls upon the hook of the horizontal bar and is worked by it in the glycerin.

    452

    To endow the universal substance with moral attributes, to maintain that it is more than the metaphysical ground of everything, to say it is the perfect realization of the holy, the beautiful and the good, can only have a meaning for him who feels within himself what real not imaginary values are clothed in those expressions.

    453

    To find the border curve of equilibrium between the two states, giving the saturation pressure as a function of the temperature, we have merely to equate the values of G and G".

    454

    To find the total heat of a substance in any given state defined by the values of p and 0, starting from any convenient zero of temperature, it is sufficient to measure the total heat required to raise the substance to the final temperature under a constant pressure equal to p. For instance, in the boiler of a steam engine the feed water is pumped into the boiler against the final pressure of the steam, and is heated under this constant pressure up to the temperature of the steam.

    455

    To illustrate the comparative productiveness and relationship of these sources of national wealth and industry, the following official returns of export for the years 1905 and 1906 are arranged in the four general classes previously discussed, the values being in Brazilian gold milreis, worth 2s.

    456

    To reinforce these concepts, a stress-strain graph is plotted for each of the above materials at two values of elapsed time.

    457

    To restore the default values press the Default button.

    458

    Tony Blair is arrogantly trying to justify this aggression by appealing to the defense of " civilized values " .

    459

    Tradesmen are less affected, because they can sell the articles which they manufacture at values which are more in proportion with the increased prices of food.

    460

    True MORB values and perhaps upper mantle geochemistry can be constrained only by considering data untainted by plume asthenosphere.

    461

    Turning now to its usual trade values in Greece (44), the mean of 113 gives 67.15; but they vary more than the Egyptian examples, having a sub-variety both above and below the main body, which itself exactly coincides with the Egyptian weights.

    462

    Typical assembler directives tell the assembler where to locate a program and data in memory and equate symbolic names to actual values.

    463

    Uncertainty in regard to the value of the peso led the compiler to omit the equivalents in U.S. gold, but according to foreign trade returns these totals represent gold values, which at 4s.

    464

    Under the influence of Cerdo, Marcion carried out his ethical dualism in the sphere of cosmology; but the fact that his system is not free from contradictions is the best proof that all along religious knowledge, and not philosophical, had the chief values in his eyes.

    465

    Undoubtedly also commercial confidence was restored by the reconstruction in 1895 of the Bank of New Zealand, and activity has been stimulated by large public loans, while more cautious banking and the systems of taxation and rating on land values, adopted in 1891 and 1896, have done something to check land speculation.

    466

    Values are weakly anthropocentric and ecocentric Advocates forms of direct and cosmopolitan democracy with active citizenship Allows and promotes the greening of socialism.

    467

    Values calculated from these formulae are given in the table below.

    468

    Values can be obtained for whole bones or joints, or bone cortex or trabecular bone alone.

    469

    Values can therefore be accumulated only by being reproduced in the course or, as often happens, by the very act of consumption; hence his distinction between reproductive and unproductive consumption.

    470

    Values for hash table entries are managed entirely by clients, not by the hash table entries are managed entirely by clients, not by the hash module itself.

    471

    Values have greatly increased, and the fur possessing good qualities as to colour and durability will doubtless always be in good request.

    472

    Values of I are derived from (B -H)/477and of from B/H.

    473

    Variation provides the material for selection, and although opinions may differ as to the nature of that material, the modes by which it comes into existence and their relative values and permanences, there is an increasingly wide consensus of opinion that all such material has to pass through the sieve of natural selection and that the sifted products form new varieties and species, and new adaptations.

    474

    Visible channels are percentage albedo and have values 0 to 100.

    475

    We arrive thus at two distinct and opposite uses and values of fur.

    476

    We can prove that if the three equations be satisfied by a system of values of the variable, the same system will also satisfy the Jacobian or functional determinant.

    477

    We cannot, for instance, say that the fraction C _2 I is arithmetically equal to x+I when x= I, as well as for other values of x; but we can say that the limit of the ratio of x 2 - I to x - I when x becomes indefinitely nearly equal to I is the same as the limit of x+ On the other hand, if f(y) has a definite and finite value for y = x, it must not be supposed that this is necessarily the same as the limit which f (y) approaches when y approaches the value x, though this is the case with the functions with which we are usually concerned.

    478

    We may therefore reasonably assume that the limiting values of the specific heats at zero pressure do not vary with the temperature, provided that the molecule is stable and there is no dissociation.

    479

    We might in a similar way find the values of y and z, but there is a more symmetrical process.

    480

    We need to repent of the secular values we've already imbibed, and we need to be on guard against imbibing more.

    481

    We only cheapen it by calling its human values " God " .

    482

    We say something we don't mean, we play a game, we are not congruent with our values.

    483

    Westman, gives the values 4276.4 and 3913.5.

    484

    What are normal values from which hunted red deer readily recover?

    485

    When a liquid is in thermal and dynamical equilibrium with its vapour, then if p' and x' are the values of p and x for the vapour, and po and Xo those for the liquid, x' - xo=JL - p(I/p' - I/pc),.

    486

    When a solid body is in contact with two fluids, the surface of the solid cannot alter its form, but the angle at which the surface of contact of the two fluids meets the surface of the solid depends on the values of the three surface-tensions.

    487

    When finely rendered they are of great value to the student investigating the origins of their values.

    488

    When z has one of the values thus determined, (z)=Jo(z).

    489

    When, in any problem, the values of u, v, w, p, q, r have been determined as functions of t, it still remains to connect the moving axes with some fixed frame of reference.

    490

    While thus the Greek philosophy furnished the dialectic and the mould for the characteristic Christian teaching, the doctrine of the Trinity preserved religious values.

    491

    Will the FAS cover people who have taken provisional or partial transfer values or trivial commutation?

    492

    Within its borders or close about them are the centres of total and of improved farm acreage, of total farm values, of gross farm income, of the growth of Indian corn, of wheat, and of oats.

    493

    Wohler's and Bauschinger's experiments give values of t, u, and s, for some materials.

    494

    Work of adhesion values calculated from the surface energetics correlated well with the interfacial shear strength values of the composites.

    495

    Working authentically it is not always easy to find venues that are entirely congruent with your purpose or values.

    496

    Working with some inscriptions from Persepolis which were found to contain references to Darius and Xerxes, Grotefend had established the phonetic values of certain of the Persian characters, and his successors were perfecting the discovery just about the time when the new Assyrian finds were made.

    497

    Yet, while the values of the signs were for the most part well ascertained, and the meanings of most works fixed with some degree of accuracy, few grammatical rules had as yet been established, the varieties of the language at different periods had not been.

    498

    You behaved as becomes a man who values his honor, perhaps too hastily, but we won't go into that.

    499

    You have to stay true to your values while destroying something as well.

    500

    You love your country's ideals, goals, values, and aspirations.