## Np Sentence Examples

- Hence, finally, the resultant is expressed in terms of the coefficients of the three equations, and since it is at once seen to be of degree mn in the coefficient of the third equation, by symmetry it must be of degrees
**np**and pm in the coefficients of the first and second equations respectively. - We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate
**NP**at right angles to OX and equal to the corresponding value of y . - The assemblage of ordinates
**NP**is then the graph of Y. - Y is represented by the length of the ordinate
**NP**, so that the representation is cardinal; but this ordinate really corresponds to the point N, so that the representation of X is ordinal. - Now if k denotes the component of absolute velocity in a direction fixed in space whose direction cosines are 1, m, n, k=lu+mv+nw; (2) and in the infinitesimal element of time dt, the coordinates of the fluid particle at (x, y, z) will have changed by (u', v', w')dt; so that Dk dl, do dt dt dt dt + dtw +1 (?t +u, dx +v, dy +w, dz) +m (d +u dx + v dy +w' dz) dw, dw +n (dt ?dx+v?dy +w dz) But as 1, m, n are the direction cosines of a line fixed in space, dl= m R-n Q, d m =
**nP-lR**an =1Q-mP dt dt ' dt ' so that Dk __ du, du, du, du dt l (dt -vR+ wQ+u + v dy + w dz) +m(.. - These equations are proved by taking a line fixed in space, whose direction cosines are 1, then dt=mR-nQ,' d'-t =
**nP**=lQ-mP. (5) If P denotes the resultant linear impulse or momentum in this direction P =lxl+mx2+nx3, ' dP dt xl+, d y t x2' x3 +1 dtl dt 2 +n dt3, =1 ('+m (dt2-x3P+x1R) ' +n ('-x1Q-{-x2P) ' '= IX +mY+nZ, / (7) for all values of 1, Next, taking a fixed origin and axes parallel to Ox, Oy, Oz through 0, and denoting by x, y, z the coordinates of 0, and by G the component angular momentum about 1"2 in the direction (1, G =1(yi-x2z+x3y) m 2-+xlz) n(y(y 3x 1 x3x y + x 2 x) (8) Differentiating with respect to t, and afterwards moving the fixed. **NP**, PQ,.- (iii) Another special case is that in which the distances MN,
**NP**, PQ,. - On any line OX take a length ON equal to xG, and from N draw
**NP**at right angles to OX and equal to uH; G and H being convenient units of length. - Then we may, ignoring the units G and H, speak of ON and
**NP**as being equal to x and u respectively. - Let KA and LB be the positions of
**NP**corresponding to the extreme values of x. - On a straight line OX in any plane take a point N at distance x from 0, and draw an ordinate
**NP**at right angles to OX and equal to S/1, where 1 is some fixed length (e.g. - He found that if two tones of frequencies p and q are sounded, and if q lies between
**Np**and (N-Fop, then a tone of frequency either (N + I) p - q, or of frequency q -**Np**, is heard. - To xxix.; Marguerite Dickins, Along Shore with a Man-of-War (Boston, 1893); Arthur Dias, Il Brasile Attuale (Nivelle, Belgium, 1907; also in French and Portuguese),
**np**. 367-449. - These forms all agree in making the frequency negative when s falls below a certain value sp. Rydberg's second law states that if the main branch series is taken, the numerical value of np_I corresponding to sp_ I is equal.
- (Adapted from Hatschek.) pc, Praechordal head-cavity of embryo; cc, collar-cavity (first somite); my, mesodermic somites (myocoelomic or archenteric pouches); ch, notochord with the neural tube (neurochord) lying upon it;
**np**, anterior neuropore; ne, position of posterior neurenteric canal. - - A careful distinction was drawn between the Written Law, the Mosaic Torah, and the rest of the Scriptures (ii'?zw n,in), and the Oral Law, or Torah by Mouth (
**nP**` 3.1 r r 1-1 i 11). - I, 3); " The completion of our days drew nigh (Iry nir60 Or :
**np**; cf. - Hence if N is the point of contact,
**NP**must be normal to the traced curve. - Iii., written apparently after 146, he explains that he thought it desirable to add some account of the manner in which the Romans exercised the power they had won, of their temperament and policy and of the final catastrophe which destroyed Carthage and for ever broke
**np**the Achaean League (iii. **NP**are called the first power, second power,.- If M and N are respectively m and n times a unit, and P and Q are respectively p and q times a unit, then the quantities are in proportion if mq =
**np**; and conversely. - Water converts the former into ammonium thiophosphate, PO(SNH4)3.H20, whilst the latter heated to 300° in a vacuum gives thiophosphoric nitrile,
**NP**:S (Stock, ibid., 1906, 39, p. 1967). - Cpsea / ? ?/
**nP**(P o