## Calculation Sentence Examples

- Then, provided a r includes the greatest term, it will be found that (A - a)" lies between 0' r and ar+1ï¿½ For actual
**calculation**it is most convenient to write the theorem in the form methods of procedure. - This triangle, for the convenience of
**calculation**, we divide into two right-angled triangles. - For the purpose of avoiding
**calculation**, tables are provided showing the values of the total insulation according to the formula, corresponding to various values of d. - According to Hopkinson's
**calculation**, this sample behaved as if 91% of the iron contained in it had completely lost its magnetic property.' - Of other Indian writers mention may be made of Cridhara, the author of a Ganita-sara (" Quintessence of
**Calculation**"), and Padmanabha, the author of an algebra. - Finally,
**calculation**by statistics (William Farr, Karl Pearson, and others) has been brought into line with other scientific methods: the method is a difficult one, and one full of pitfalls for the unwary, yet when by co-operation of physician and mathematician its applications have been perfected its services will appear more and more indispensable. - This is at least of the order observed, which is all that can be expected from a
**calculation**which assumes I + and I_ equal. - In every case the
**calculation**proved fallacious. - The news of the strengthening of the British army and navy lately announced in the king's speech had perhaps annoyed him; but seeing that his outbursts of passion were nearly always the result of
**calculation**- he once stated, pointing to his chin, that temper only mounted that high with him - his design, doubtless, was to set men everywhere talking about the perfidy of Albion. - Reckoning by that standard we might push the earliest Neolithic remains back behind io,000 B.C.; but the
**calculation**would be worthy of little credence. - He remained, however, in complete ignorance of the degree of preparation attained on the Russian side, and since the seizure of Warsaw together with the control of the resources of Poland in men and material its occupation would afford, was the chief factor in his
**calculation**, he turned at once to the eastward as soon as all further organized resistance in Prussia was ended by the surrender of Prenzlau and Lubeck. - The details of the
**calculation**are given in the article Electric conduction, § where also will be found an account of the methods which have been used to measure the velocities of many ions by direct visual observation. - (v.) The further extension to fractional values (positive or negative) of n depends in the first instance on the establishment of a method of algebraical evolution which bears the same relation to arithmetical evolution (
**calculation**of a surd) that algebraical division bears to arithmetical division. - It is often convenient, as in ï¿½ 56 (ii.) and (vi.), to consider the mode of development of such a series, without regard to arithmetical
**calculation**; i.e. - When the waves are convergent and the recipient screen is placed so as to contain the centre of convergency - the image of the original radiant point, the
**calculation**assumes a less complicated form. - (15), formulae which may be utilized for the
**calculation**of G, H when u (or v) is small. - Descending series of the semi-convergent class, available for numerical
**calculation**when u is moderately large, can be obtained from (12) by writing x=uy, and expanding the denominator in powers of y. - Of the water received by Albert Nyanza annually (omitting the Victoria Nile from the
**calculation**) between 50 and 60% is lost by evaporation, whilst 24,265,000,000 cubic metres are annually withdrawn by the Bahr-el-Jebel. - Possessing an immense range of knowledge, he has filled up lacunae in nearly every part of physics, by experiment, by
**calculation**, and by clear accurate thought. - Unfortunately, the
**calculation**of probable railway revenue on The railwhich the conventions had been based proved to be way C0fl enormously exaggerated. - Density of population is measured by the average number of people residing on a unit of area; but in order to compare one part of the world with another the average should, strictly speaking, be taken for regions of equal size or of equal population; and the portions of the country which are permanently uninhabitable ought to be excluded from the
**calculation**.' - Conradus Mel in his Antiquarius Sacer (1719) described a "pantometron nauticum" which he claimed would show without
**calculation**the distance sailed by the ship; and J. - It has also the right to purchase the undertaking at the end of the first fifteen years, the net profits of the preceding seven years to govern the
**calculation**of the purchase price. - If a decennial period be taken, then-for the purpose of the new
**calculation**-the earliest year is omitted and the latest year added, the number of years continuing at ten. - The
**calculation**of the percentage of the particular constituent is simple. - If we come to a
**calculation**the number of species of animals will be found much less than is generally imagined, not amounting to a hundred species of quadrupeds, nor to two hundred of birds.. - The
**calculation**results in -A,113 B2Bi+2A2B3B2Bi-AzB3BaBi+A4B3B1-2AlB3B2B1 -MB2B2131+MB33231+A213MB1 + A 2 B a Bi -2A2B3B2B +A2B1B1=0. - An important instance in which the
**calculation**can be made is that of an elongated ellipsoid of revolution placed in a uniform field H o, with its axis of revolution parallel to the lines of force. - For simplicity of
**calculation**, the clear length of each rod between the yokes is made 12.56 (=47r) centimetres, while the coil surrounding the standard bar contains 100 turns; hence the magnetizing force due to a current of n amperes will be ion C.G.S. - Taylor Jones showed in 1897 that only a small proportion of the contraction exhibited by a nickel wire when magnetized could be accounted for on Kirchhoff's theory from the observed effects of pulling stress upon magnetization; and in a more extended series of observations Nagaoka and Honda found wide quantitative divergences between the results of experiment and
**calculation**, though in nearly all cases there was agreement as to quality. - - The
**calculation**of the values of simple algebraical expressions for particular values of letters involved is a useful exercise, but its tediousness is apt to make the subject repulsive. - These numbers have been taken as a basis for
**calculation**of population, and one statistician reasoned that if 50,000 were buried in one churchyard 100,000 should represent the whole mortality of London. - The
**calculation**that he would work harmoniously with Rodney was not altogether justified by the results. - Pitiscus (1561-1613), who himself carried the
**calculation**of a few of the earlier sines to twenty-two places. **Calculation**shows that, if the aperture be s in., an achromatic lens has no sensible advantage if the focal length be greater than about II in.- It is scarcely necessary to remark that in all such cases the
**calculation**applies in the first instance to homogeneous light, and that, in accordance with Fourier's theorem, each homogeneous component of a mixture may be treated separately. - To apply the method to the
**calculation**of N n, it is necessary that we should be able to express N in the form A+a or Aa, where a is small in comparison with A, A" is easy to calculate and a/A is convenient as a multiplier. - The application of the method to the
**calculation**of (I +x) n, when n= p/q, q being a positive integer and p a positive or negative integer, involves, as in the case where n is a negative integer, the separate consideration of the form of the coefficients b 1, b 2, ... - If therefore we choose a quantity e such that log e I o X X= I, log i oe = X, which gives (by more accurate
**calculation**) e=2.71828..., we shall have lim(loge(I+0))}/0=I, and conversely 'lim' {ex+0 - e x } 143= The deduction of the expansions log e (' +x) = x - Zx 2 + 3x 3 - ..., e x = I +.x+x2/2!+x3/3!-}-..., is then more simply obtained by the differential calculus than by ordinary algebraic methods. - Gauss in particular employed it in the
**calculation**of the magnetic potential of the earth, and it received new light from Clerk Maxwell's interpretation of harmonics with reference to poles on the sphere. - (2A2+ 41ï¿½i +2)a(3ï¿½3+12ï¿½2+ 1) b, due to the generating function 2 15 (1 -z)(1 -z 2) 2 (1 -z3) For the case 0=r, 0'=4., the condition is a 1 r 1 T 2 r 3 7 4 (a i + T 1)(a + T 2)(a 1 T (a i + T 4) II (T s T t) 0; the
**calculation**gives Selecting the product A;B 4 B 3 B2, we find the simplest perpetuant A1B4(A 1 B2+A1B3+B4)(-B3-A1B2B3-ATB4) =0. - It was also used in the
**calculation**of rates of interest.