# A-b sentence example

a-b

- He was a born adventurer, going to sea at the age of 17 and serving before the mast as A.B.
- At small country towns or villages, where the message traffic is light, the Wheatstone " A B C " instrument is used.
- In this apparatus electric A B C currents are generated by turning a handle (placed in front of the instrument), which is geared, in the instru ment.
- A noticeable feature in the modern A B C indicator, as well as in all modern forms of telegraph instruments, is the adoption of " induced " magnets in the moving portion of the apparatus.
- At offices where the work is heavier than can be dealt with by the A B C apparatus, the " Single Needle " instrument has been very largely employed; it has the advantage of slight Single liability to derangement, and of requiring very little adjustment.Advertisement
- A law passed on the 22nd of March 1900 gave a B a, special impulse to this form of enterprise by fixing the ratio r naze.
- 44, A B D FIG.
- The most primitive combination, ambiens and A B X Y, is the most common; next follows that of A X Y, meaning the reduction of B, i.e.
- the iliac portion of the caud-ilio-femoralis; A B X and B X Y are less common; A X and X Y are rare and occur only in smaller groups, as in subfamilies or genera; B X occurs only in Podiceps.
- Further, the combinations B X Y and A X Y cannot be derived from each other, but both directly from A B X Y in two different directions.Advertisement
- Keeping this in mind, we may fairly conclude that the flamingo with B X Y points to an ancestral condition A B X Y, which is still represented by Platalea and Ibis, whilst the other storks proper have taken a different line, leading to A X Y.
- The female can protrude a long flexible tube in connexion with the eighth segment, carrying the sclerites of the ninth at its extremity, and these sclerites may carry short hairy processes A B D.yrnt,sc/'rle moathd ..
- There are two main ways of attaching the rails to the sleepers, corresponding to two main types of rails - the bull-headed rail A B FIG.
- The prostomium overhangs the mouth, and is often of considerable size and, as a rule, quite distinct from the segment following, being A„ f s / 6/ ' A B I.
- Here, however, the buds are lateral, though produced from a budding may be defective upon one or other of the noto a b FIG.Advertisement
- Neither the rotation of the shell as a whole nor its helicoid spiral coiling is the immediate cause of the torsion of the body in the individual, for the direction of the torsion is indicated in the segmentation of the ovum, in which there is a complete A B From Lankester's Treatise on Zoology.
- .o K il -ju tong-chin A B Longitude East 14 of Greenwich C 8° 3: E 44 legend, were bathing one day in a lake under the Chang-pai-Shan mountains when a passing magpie dropped a ripe red fruit into the lap of one of them.
- chi and the latter by a b d e f g, which groups for the sake of brevity we designate as a and 1 3.
- The cheek-teeth (premolars and molars) form a A B C FIG.
- An Orthodox bishop, vested for the holy liturgy, wears over his cassock - (i) the rnxcipcov, or alb (q.v.); the E7nrpay,Acov, or stole (q.v.); (3) the a narrow stuff girdle clasped behind, which holds together the two vestments above named; (4) the E7 n, uaviexa, liturgical cuffs, corresponding, possibly, to the pontifical gloves of the West;' (5) the i 7rtyovarcov, a stiff lozengeshaped piece of stuff hanging at the right side by a piece of riband from the girdle or attached to the o-AKKos, the equivalent of the Western maniple (q.v.); (6) the like the Western dalmatic (q.v.), worn instead of the 4acv6Acov, or chasuble; (7) the c?µocp6pcov, the equivalent of the Western pallium (q.v.).Advertisement
- the stole is his obedience and servitude for our sakes; (3) the allegorical school, which treats the priest as a warrior or champion, who puts on the amice as a helmet, the alb as a breastplate, and so on.
- a white alb plain with a vestment or cope," while the assisting priests or deacons are to wear "albs with tunicles."
- those in Essays on Ceremonial, p. 246) are quite inconclusive, as ` vestment ' is often a convertible term with ' chasuble '; and it does not seem to be at all conclusively established that ' vestment ' with ' alb ' mentioned separately, and ' cope ' given as an alternative, in a document with the precision and directive force of a Rubric, means more than the actual chasuble."
- Pro-deltidium attached A B C FIG.
- Since (ab) = a l b 2 -a 2 b l, that this may be the case each form must be linear; and if the forms be different (ab) is an invariant (simultaneous) of the two forms, its real expression being aob l -a l b 0.Advertisement
- For the quartic (ab) 4 = (aib2-a2b,) alb2 -4a7a2blb2+64a2 bib2 - 4a 1 a 2 b 7 b 2 + a a b i = a,a 4 - 4ca,a 3 +6a2 - 4a3a3+ aoa4 = 2(a 0 a 4 - 4a1a3 +e3a2), one of the well-known invariants of the quartic.
- f= ai; the Hessian H = (ab) 2 azbx; the quartic i= (ab) 4 axb 2 x; the covariants 1= (ai) 4 ay; T = (ab)2(cb)aybyci; and the invariants A = (ab) 6; B = (ii') 4 .
- For w = i the form is A i ai+Bib i, which we may write aob l -albo = ao(I) b -(I)abo; the remaining perpetuants, enumerated by z I - 2' have been set forth above.
- To represent the simplest perpetuant, of weight 7, we may take as base either A2B 1 B 2 or A l A 2 B2, and since Ai+Bi =o the former is equivalent to A 2 ArB 2 and the latter to A 2 B i B2; so that we have, (1 -f-aix) (1 + a2x).
- We will choose from the forms in such manner that the product of letters A is either a power of A i, or does not contain A i; this rule leaves us with A2B 1 B 2 and A 2 B,Bs; of these forms we will choose that one which in letters B is earliest in ascending dictionary order; this is A2B 1 B 21 and our earliest perpetuant is (22)a(21)b - (221)a(2)b, and thence the general form enumerated by the generating function Z7 is (1-z)(1 - z2)2 (2 A2+2) a (2ï¿½2 +1 1ï¿½1 +1) b - (2 A2+2 1)a (2 M2+1 1, ai)b ...Advertisement
- By the rules adopted we take A?B 2 B 3, which gives (12)a(32)b - (1)a(321)b+ao(3212)b, the simplest perpetuant of weight 7; and thence the general form enumerated by the generating function 1 -z.1-z2.1 - z3 ?
- By the rules we select the product A2B 3 B 2 Bi, giving the simplest perpetuant of weight 15, viz: (24) a (3212) b - (241)a(321)b+(2412)a(32)b; and thence the general form (2A2+4)a(3ï¿½3+12ï¿½2+11ï¿½1+ 2)b -...
- (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.
- then of course (AB) = (ab) the fundamental fact which appertains to the theory of the general linear substitution; now here we have additional and equally fundamental facts; for since A i = Xa i +,ia2, A2= - ï¿½ay + X a2, AA =A?-}-A2= (X2 +M 2)(a i+ a z) =aa; A B =AjBi+A2B2= (X2 +, U2)(albi+a2b2) =ab; (XA) = X i A2 - X2 Ai = (Ax i + /-Lx2) (- /-jai + Xa2) - (- / J.x i '+' Axe) (X a i +%Ga^2) = (X2 +, u 2) (x a - = showing that, in the present theory, a a, a b, and (xa) possess the invariant property.
- X (xa) ki (xb) k2 (xc) k3...axibx2cx3...xx = (AB) hi (AC) h2 (BC) h3...A11 4 13 A1,14131 A B I ?C"' B C "' X (XA) ki (XB) k2 (XC) k3...AXB122cCk...X If this be of order e and appertain to an nie L Eke-/1+2m =e, h i+h2+ï¿½ï¿½ï¿½+221+ji+j2+ï¿½ï¿½ï¿½+kl+li =n, hi+h3+..ï¿½+222+ji+j3+ï¿½ï¿½ï¿½+k2+12 = n, h2+h3+ï¿½ï¿½ï¿½+223+j2+%3+ï¿½.ï¿½+k3+13 =n; viz., the symbols a, b, c,...Advertisement
- The number of different symbols a, b, c,...denotes the the covariants are homogeneous, but not in general isobaric functions, of the coefficients of the original form or forms. Of the above general form of covariant there are important transformations due to the symbolic identities: - (ï¿½b) 2 2)2 = a b - a b; (xï¿½ = as a consequence any even power of a determinant factor may be expressed in terms of the other symbolic factors, and any uneven power may be expressed as the product of its first power and a function of the other symbolic factors.
- For the linear forms aoxi+aix2=ax = b x there are four fundamental forms ax=a:,x i --+a i x 2 of degree-order (1, 1), x7-1--4_ ï¿½ (0, 2), a i x, 1), a b =a2+ai ï¿½ (2, 0), (iii.) and (iv.) being the linear covariant and the quadrinvariant respectively.
- This is the fundamental system; we may, if we choose, replace (ab) 2 by ab =a, 2, +2a1+a2 since the identity a a b b - a, = (ab) 2 shows the syzygetic relation (74+a 2) 2 - (ao +2a +ï¿½2) = 2(aoa2 - ai).
- r B A B C must cause a depression of the floor of the pericardium and a rising of the roof of the ventral blood sinus, and a consequent increase of volume and flow of blood to each.
- - Four stages in A B C D ° ```' the development of the trilobite Agnostus nudus.Advertisement
- a A B C D ..a From Korschelt and Heider, after Barrande.
- Opisthosoma consisting of only ten somites, which have no tergal and sternal elements, the prae-genital somite contracted to form a " waist," as in the Pedipalpi; the last three narrowed to form a A B prae-1 2345 6789 io I I111I IV V VI gen Opisttaosoma Prosoma FIG.
- - Dorsal area of prosoma furnished with two shields, a larger behind representing, probably, the tergal elements of the somites, and a smaller in front, which is freely articulated to the former and folds over the a b C an FIG.
- ï¿½ 37 (ii.)), and then says that A+B and 134-A, or AB and BA, are identical, where A and B are any multinomials.
- They are (a+b)-?-c=a+(b+c) (A) (aXb)Xc=aX(bXc) (A') a+b=b+a (c) aXb=bXa (c') a(b c) =ab-Fac (D) (a - b)+b=a (I) (a=b)Xb=a (I') These formulae express the associative and commutative laws of the operations + and X, the distributive law of X, and the definitions of the inverse symbols - and =, which are assumed to be unambiguous.Advertisement
- Let a+b denote the region made up of a and b together (the common part, if any, being reckoned only once), and let a X b or ab mean the region common to a and b.
- Applying the distributive law, we obtain, when r+s>n, ArB 8 = EaErE i 3E 8 = E(a(3)ErEs, where the regressive products E r E B are to be reduced to units of species (r+s-n) by the foregoing rule.
- We readily find (with substitution for k of 27r/X) a2b S n J s in fl „2a2E2 „2b2n2 f2X2 f2X2 as representing the distribution of light in the image of a mathematical point when the aperture is rectangular, as is often the case in spectroscopes.
- When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?
- 2n u (a -b.b -a')' not requiring the integration of (II) and (12) If 0=a across the end J J' of the jet, where u = oo, q= Q, b-a' a-b ch 7/2,=cos na = I, , sh 162 = i sin na = i,, a - a a-a Then a-a'+(a+a) cos 2na-[a+a'+(a-a) cos 2najcos 2110 (a-a') sin' 2na X cos 211a - cos 2110 Along the wall AB, cos nO =o, sin n0= I, a> u> b, ch n2= i sh log (q) n= i?Advertisement
- `ia a - a u-b sh nf2= i ch log (Q) n =i a-b ?
- Iju -a' a-u a-b ds ds d?
- xx' = Q.JJ' (31) JJ _ g o _ lb-a' la_I a-b a' 11n xx' Q L Va - a' b Va-a' b j ' (32) giving the contraction of the jet compared with the initial breadth of the stream.
- b a-b (7) cos = a, sin na = 1j a, nd along the free surface APJ, q =Q, 4) =o, u =e-.
- From A to B, a>u >b, 0=0, ch S2= ch log Q=cos a-i sin 2a a-b I sh S2= sh log Q= I (a u-b-a/) s i n a Q = (u-b) cos a-2(a-a') sin 2 a+1,/ (a-u.u- a')sin a (8) u-b ds _ ds d4 _ Q dw Q du - Q d 4) du q du (u-b) cos a-2(a- a') sin 2 a (a-u.0 - a') sin a (9) it j- -j' AB _f a(2b - a - a')(u-b)-2(a-b)(b-a')+2V (a - b.
- When the liquid is bounded externally by the fixed ellipsoid A = A I, a slight extension will give the velocity function 4 of the liquid in the interspace as the ellipsoid A=o is passing with velocity U through the confocal position; 4 must now take the formx(1'+N), and will satisfy the conditions in the shape CM abcdX ¢ = Ux - Ux a b x 2+X)P Bo+CoB I - C 1 (A 1 abcdX, I a1b1cl - J o (a2+ A)P and any'confocal ellipsoid defined by A, internal or external to A=A 1, may be supposed to swim with the liquid for an instant, without distortion or rotation, with velocity along Ox BA+CA-B 1 -C1 W'.
- Between two concentric spheres, with a 2 +A = r 2, a2+A1=a12, A=B =C =a3/3r3, a 3 a 3 a3 _ a3 Cb _1U x r 3 a13 Y'=2 Uy2 r3 3 a13 .
- The rochet was originally a robe-like tunic, and was therefore girdled, like the liturgical alb.
- 25 a b and Acts xviii.
- bi-, bis, twice, and nomen, a name or term), in mathematics, a word first introduced by Robert Recorde (1557) to denote a quantity composed of the sum or difference to two terms; as a+b, a-b.
- This can be done by placing at B an equal negative point-charge -q in the place which would be occupied by the optical image of A if PO were a mirror, that is, let -q be placed at B, so that the distance BO is equal to the distance AO, whilst AOB is at right angles to PO.
- The image is formed by 674° s°° successive total reflection at the surfaces b c and a b.
- 2 A B is a cross cut level, by which the seams of coal 1 and 2 are won, and C D a vertical shaft by which the seams 1, 2 and 3 are won.
- If a .JP solid circle be fixed in any one position and a tube be pivoted on its centre so as to move; and if the line C D be drawn upon the circle pointing towards any object Q in the heavens which lies in the plane of the circle, by turn ing the tube A B towards any other object P in the plane of the circle, the angle B 0 D will be the angle subtended by the two objects P and Q at the eye.
- If we draw a line at right angles to TCV, meeting TCV produced in M and parallels through A and B in K and L, the area of the triangle ATB is KL.
- VC, VW = (i - 0 2) VC; curved area ACB = a of parallelogram Afgb = 3kl.
- 147m 4 181 3 m2 - 4725 G F H A B FIG.
- In works on sound it is usual to adopt Helmholtz's notation, in which the octave from bass to middle C is written c d e f g a b c'.
- The French notation is as under: C D E F G A B c Ut 1 Re f M] Fa] Sol i La i Si, Utz.
- If a tuning-fork in vibration be turned round before the ear, four positions will be found in which A B it will be inaudible, owing to the mutual interference FIG.
- Consider any section a b.
- The total shear at a b is S = R-E(W1+W2 ...) where the summation extends to all the loads to the left of the section.
- Let a b be Ak X ?
- -- a --- --- A, < a B 5 tons 0 0 C) 4 -H 49.
- 3, a-b).
- - Diagram showing the change of the Actinula (A) into a Polyp (B); a-b, principal (vertical) axis; c-d, horizontal axis.
- A, Vertical section of the actinula; a-b and c-d as in fig.
- d, The double pole switch connecting the 6 pairs of terminals A B c D E F in succession to the slide contacts.
- I, Eop-r1 7 A B D, Origen, Epiphanius, Chrysostom, Paschal Chronicle; KCLz 1-118, 33, the Egyptian versions, Eusebius, Cyril-Alex.
- 2 The method consists in the use of the formula sin a sin b=2 {cos(a-b)-cos(a+b)l, by means of which the multiplication of two sines is reduced to the addition or subtraction of two tabular results taken from a table of sines; and, as such products occur in the solution of spherical triangles, the method affords the solution of spherical triangles in certain cases by addition and subtraction only.
- Ray Lankester (18) subsequently described this same form (under the name of Undulina ranarum) A B (From Lankester.) FIG.
- 9): ACB being a semicircle whose centre is 0, and AC the arc to be rectified, he produced AB to D, making BD equal to the radius, joined DC, 1 Vieta, Opera math.
- or as quality A B C D Shorts.
- If the observer be stationary at B, the star will appear in the direction BS; if, however, he traverses the distance BA in the same time as light passes from the star to his eye, the star will A B appear in the direction AS.
- A pair of eyes lie dorsally and behind them is a b closed circlet, often pulled out into various shapes, of modified epidermis, to which an olfactory function has been attributed.
- This relation is known when the amount of either component present in the other is very small, for it is then the relation for a dilute system and can A B A B A B A FIG.
- Let us imagine unit mass of solution of volume V confined in a cylinder ABC between a fixed vapour sieve B and a solid piston A A B C FIG.
- Then, in the scheme below, if A b and (A)N b are two brothers who both marry normal wives N, their children N(A) in the first case will be all normal in appearance but will be carrying albinism recessive; and in the second case some will be pure normal individuals N, and some will be like the children of the first brother, i.e.
- Originally only a choir vestment and peculiar to lower clergy, it gradually - certainly no later than the 13th century - replaced the alb as the vestment proper to the administering of the sacraments and other sacerdotal functions.
- The stomach is surrounded by the liver or digestive A B FIG.
- Branches of palm, olive or sprouting willow (hence in England known as "palm") having been placed before the altar, or at the Epistle side, after Terce and the sprinkling of holy water, the priest, either in a purple cope or an alb without chasuble, proceeds to bless them.
- To a man who regarded the art of writing, of which at the best he had but a slight knowledge, as something supernatural, and who lived amongst illiterate people, an A B C may well have seemed more of the sacred book.
- His successor A b Al-i al-Man~cr, who reigned under the title al-Hakim biamr allcih, came to the throne at the age of eleven, being the son of Aziz by a Christian mother.
- parallel to the tangent at the vertex of the diameter and is equal P A B to four times the focal distance of the vertex.
- A A is a concave parabolic mirror, whose axis a c is inclined to the axis of the tube a b so that the image of an object in the focus of the mirror may be viewed by an eye-piece at E, the angle b a c being tier equal to the angle c a E.
- Les valeurs de p, q, r, p', q,' r', qui satisferaient a cette condition seraient absurdes; mais seraient-elles imaginaires, reductibles a la forme generale A+B - 1 ?
- 9 A B - 0 5 Nffth= atuna= -.
- {% f and p a, 0 u and 8 b, because this time b was a bilabial spirant and not a stop), ultimately obtains an order - a b d e f z kgw h i j pr st u l m n o o.
- a cot a b cot$
- In the case of uniform load we have F=w~+A, M=1/2wxi_Ax+B, (5) where the arbitrary constants A,B are to be determined by the conditions of the special problem, -
- 45; if AB, AB represent the two positions of a string, and T be the tension, the virtual work of the two forces ~ T at A,B is T(AnBjS), which was shown to be of the second order.
- hanging from a point C of a string ACB whose ends A, B are fixed.
- Eliminating the ratio A:B we have (ai+aii_~p1) (eI+c1_~q1)_4~a,2=o.
- If, on the other hand M is small compared with in, u is nearly equal to unity, and the root1 of (12) are a2=g/(a+b) and fri_-=nigIM.(a~b)/ab, approximately The former root makes 0=4,, nearly; in the corresponding normal mode m oscillates like the bob of a simple pendulum of length a+b.
- The oscillation of M then resembles that of a particle at a distance a from one end of a string of length a+b fixed at the ends and subject to a tension mg.
- Let -y denote the total angular velocity of the rotation of the cone B about the instantaneous axis, $ its angular velocity about the axis OB relatively to the plane AOB, and a the angular velocity with which the plane AOB turns round the axis OA.
- 116), he fixed at any one point a in any one of the links produced in either direction, and if any straight line be drawn from this point to cut the links in the points b and a, then the points a, b, c a b 0
- The earliest writer in the Finnish vernacular was Michael Agricola (1506-1557), who published an A B C Book in 1544, and, as bishop of Abo, a number of religious and educational works.
- Those of the desert region are only slight indentations in a remarkably uniform coast-line, sheltered on H arb ours.
- If we suppose alb to be converted into a continued fraction and p/q to be the penultimate convergent, we have aq-bp= +1 or -1, according as the number of convergents is even or odd, which we can take them to be as we please.
- Thus the hundred years struggle between Rome and Persia, which had begun in 527 with the atack of the first Kavadh Th A b on Justinian, had run its fruitless course, utterly Co,nqist.
- The letters A B show a vertical section through a fragment of a potato leaf, enlarged 1_00 diameters; A is the upper surface line, and B the lower; the lower surface of the leaf is shown at the top, A Fin.
- C D 0K2, a b c m Q c 6 L -...
- If, for instance, the wing is suddenly depressed in a vertical direction, as at a b of fig.
- x a b a °, ° w N A?
- 12 a-b, Base and transverse section, Retiolites Geinitzianus (after Holm).
- 17 a-b, Phyllograptus and transverse section.
- It is constructed by the following method: Let AQB be a semicircle of diameter AB, produce MQ the ordinate of Q to P so that MQ: MP :: AM: AB.
- In the present article a+b will mean that a is taken first, and b added to it; but a X b will mean that b is taken first, and is then multiplied by a.
- The essential portions of these statements, from the arithmetical point of view, may be exhibited in the form of the diagrams A and B A B or more briefly, as in C or C' and D or D':- C C' the general arrangement of the diagram being as shown in E or E':- E E' Multiplication is therefore equivalent to completion of the diagram by entry of the product.
- Also, if the remainders when two numbers are divided by 9 are respectively a and b, the remainder when their product is divided by 9 is the same as the remainder when a.b is divided by 9.
- In practice, however, both a/3 and a certain portion of a'b are small in comparison with a'(3 and b' a, and we therefore replace a'b' + a(3 by an approximate value, and increase the limit of error so as to cover the further error thus introduced.
- The Process Is Shown Fully In A Below, A B C And More Concisely In B.
- 5), a small echinoid A B FIG.
- Such a form as this, when once its covering-plates had atrophied, would be a cone rcrq plates interam bullr /rctl plates hydropore frame A B FIG.
- Moreover, representing the remaining three lines by a" b" c" d" e" b /r c a, d N, e"' a " c 'N d"N err" it is further seen that the factor which multiplies the determinant formed with any two columns of the first set is the determinant of the third order formed with the complementary three columns of the second set; and it thus appears that the determinant of the fifth order is a sum of all the products of the form ' a b c" d" e" a, b"c"'dN, ear the sign being in each case such that the sign of the term .c"d"'e" obtained from the diagonal elements of the component determinants may be the actual sign of this term in the determinant of the fifth order; for the product written down the sign is obviously +.
- Let OZ be an axis, as nearly vertical as it can easily be set, round which () N C A B the entire instrument may revolve through 180°.
- Let APB be a semicircle, BT the tangent at B, and APT a line cutting the circle in and BT at T; take a point Q on AT so that AQ always equals PT; then the locus of Q is the cissoid.
- The form is " A B C D, &c., are P; AB CD are all M; thus all M are P."
- Felkin; A B C of Sense Perception and minor pedagogical works (New York, 1896), by W.
- If this be so, it is clear that the factor A / - 1 denotes a change of phase of 42, since this twice repeated converts cos T into cos (T+ir) = - cos T, and hence that the factor a+b A l - I represents a change of phase of tan1 (b/a).
- log E = a+b /T+c log T E(t-to =c(t -t') (2t°- (t+t')) E t +E; = I O a +bt +.
- (2) If the Peltier effect was proportional to the thermoelectric power and changed sign with it, as all experiments appeared to indicate, there would A B be no absorption of heat C in the circuit due to the Peltier effect, and therefore no thermal source to account for the energy of the current, in the case in which the hot junction was at or above the neutral temperature.
- ConjugationC at alan, and especially modern Catalan, has greatly narrowed the domain of the 2nd conjugation in e r e; a large number of verbs of this conjugation have been treated as if they belonged to the 3rd in r e; d e b e r e makes deure, v i d e r e, veure, and alongside of haber, which answers to h a b b r e, there is a form heure which points to h a b ~ r e.
- 70), where a seer (h a b e t s a d a r c) corresponds exactly toserd (s e d are ha bet).
- On the other hand, Portuguese has a large n.urnber of strong diphthongs produced by the attraction of an i in hiatus or the resolution of an explosive into i: raiba (r a b I a),feira (fer i a), frito (f a c t u m), seixo (sax u m), osto (oct 0).
- The second persons of the same tense take the ending che, ches in the singular and chedes in the plural: falache or falaches (f a b u I a s t i), falachedes as well as faldstedes (f a hu I a s t i s), bateche or batiche, p1.
- (Redrawn from the A B C of Bee-Culture, published by the A.
- of wasting time in removing (Redrawn from the A B C of Bee-Culture, published by the A.
- The relative importance of the three kinds of bees differs greatly in a b c degree and in FIG.
- (Redrawn from the A B C of BeeCulture, published by the A.
- Root, A B C and X Y Z of Bee-culture; F.
- 44 a b 21), kimta rapashtum, " wide family."
- The false axis, a b c d, is formed by successive generations of unifloral axes, the flowers being arranged along one side alternately and in a double row; had the bracts been developed they would have formed a similar double row on the opposite side of the false axis; the whole inflorescence is represented as curved on itself.
- The structure of the leaf-stalks is like that of modern A B FIG.
- r, a), the gap between the a b FIG.
- Plain as day was a B tattooed on one cheek and a W on the other.
- Counties to appoint assessor who must be a minimum of a B Tester.
- let a b be the window, m the point of light.
- Being fingered all being fingered all benefactors as the a b curie.
- So it's not too bad a b side... Eden Star 10-08-2006, 22:46 Think the song is totally lush.
- Let a b be the window, m the point of light.
- CELL a b c alpha beta gamma Unit cell, by default taken from the XYZIN or the map header.
- Electromagnetic calorimeter (EMC) A high quality electromagnetic calorimeter is an essential feature of B A B AR.
- I doubt it, and this film is already consigned to be a B list feature.
- Month or two for his stubborn far more active a b curie.
- QUAIFE's Frequently Asked Questions Q: Where can I find a technical drawing of my Quaife gearbox and ATB diff?
- Partly for this reason, and feeling a bit disenchanted with the Primos on the SP, I decide to use the APB.
- CELL a b c [alpha beta gamma] Specify the unit cell.
- nerd joke: a G, a B flat and a D walk into a bar.
- music nerd joke: a G, a B flat and a D walk into a bar.
- Louise Triance is a British Psychological Society level A&B trained assessor, conducting psychometrics on behalf of recruiters.
- The growth of the lace industry in the 17th century hastened the process by leading to the substitution of broad bands of lace as decoration; occasionally, as in a magnificent specimen preserved at South Kensington, nearly half the vestment is thus Apparelled Alb in the South Kensington Museum.
- It is sometimes also worn by clerics in minor orders, whose proper vestment is, however, the surplice - itself a modification of the alb (see Surplice).
- At an intermediate O _ _ O or wayside station W, a a B = a `_ " switch " S, consisting of three blocks of brass fixed to an insulating © © © base, is sometimes used FIG.
- ` L I S Ã‚° fold K 3 a o '0' Scale, 0 o 4 -Z 5Ã‚° 4z C Longitude East 44 of Greenwich D A B college of the government, in which, like the others, they form a separate curia.
- .o K il -ju tong-chin A B Longitude East 14 of Greenwich C 8Ã‚° 3: E 44 legend, were bathing one day in a lake under the Chang-pai-Shan mountains when a passing magpie dropped a ripe red fruit into the lap of one of them.
- At Rome, especially, where the popes had succeeded to a share of the power and pretensions of the Caesars of the West, the accumulation of ecclesiastical vestments symbolized a very special dignity: in the second quarter of the 9th century the pope, when fully vested, wore a camisia girdled, an alb (linea) girdled, an amice (anagolaium), a tunicle (dalmatica minor), a dalmatic (dalmatica major), stole (orarium), chasuble (planeta) and pallium.
- The Report of 1908 (Appendix A, p. 109) says cautiously that the word "may perhaps in some cases stand for the chasuble with the amice, stole and fanon, the alb being mentioned separately," but adds that "very many of the instances commonly cited for this (e.g.
- Put (aox 3 -}-a l x 2 +a 2 x +a 3) (box' +b1x'+b2) - (aox'3+aix'2+a2x'+a3) (box' + bix + b2) = 0; after division by x-x the three equations are formed aobcx 2 = aobix+aob2 =0, aobix 2 + (aob2+a1b1-a2bo) x +alb2 -a3bo = 0, aob2x 2 +(a02-a3bo)x+a2b2-a3b1 =0 and thence the resultant aobo ao aob2 aob 1 aob2+a1b1-a2bo alb2-a3b0 aob 2 a1b2 - a 3 bo a2b2 - a3b1 which is a symmetrical determinant.
- By simple multiplication (al b l b2 -24a2bib2+ala2b;)xi +(aibz -ala214b2-aia2blb2+a2b2)xlx2 + (aia 2 b2 - 2a l a2b l b2 +a2/4b 2)x2; and transforming to the real form, (aob 2 - 2a1b,+a2bo)xi (aob 3 -a l b 2 - alb,+a3bo)xlx2 + (aib3 - 2a2b2+a3b1)x2, the simultaneous covariant; and now, putting b = a, we obtain twice.
- Put M 1 For M, N I For N, And Multiply Through By (Ab); Then { (F, C6) } = (Ab) A X 2A Y B X 1 M N I 2 (Xy), ?) 2, = (A B)Ax 1B X 2B Y L I Multiply By Cp 1 And For Y L, Y2 Write C 2, C1; Then The Right Hand Side Becomes (Ab)(Bc)Am Lbn 2Cp 1 M I C P (F?) 2 M { N2 X, Of Which The First Term, Writing C P =, ,T, Is Mn 2 A B (Ab)(Bc)Axcx 1 M 2 N 2 P 2 2222 2 2 _2 A X B X C (Bc) A C Bx M N 2 2 2 M2Ã‚°N 2 N 2 M 2 2 A X (Bc) B C P C P (Ab) A B B(Ac) Ax Cp 2 = 2 (04) 2 1 (F,0) 2.4 (F,Y') 2 Ã¯¿½?; And, If (F,4)) 1 = Km " 2, (F??) 1 1 M N S X X X Af A _Af A Ax, Ax Ax Ax1 Observing That And This, On Writing C 2, C 1 For Y 11 Y 21 Becomes (Kc) K X 'T 3C X 1= (F,0 1 ', G 1; Ã¯¿½'Ã¯¿½1(F,O) 1 M 1=1 M 2 0`,4)) 2 0, T (Fm 2.4 (0,0 2 .F ' And Thence It Appears That The First Transvectant Of (F, (P) 1 Over 4) Is Always Expressible By Means Of Forms Of Lower Degree In The Coefficients Wherever Each Of The Forms F, 0, 4, Is Of Higher Degree Than The First In X 1, X2.
- For Two Forms The Seminvariants Of Degrees I, I Are Enumerated By 1 Z, And The Only One Which Is Reducible Is Ao 0 Of Weight Zero; 1 Hence The Perpetuants Of Degrees I, I Are Enumerated By 11 1 Ã¯¿½ Z 1Zz' And The Series Is Evidently A O B 1 Aibo, A 0 B 2 A B A2Bo, A O B 3 A L B 2 A 2 B 1 A3Bo, One For Each Of The Weights I, 2, 3,..Ad Infin.
- A2B 1 B 2 gives (22) a (21) b - (221) a (2) b, and A i AgB 21 (2 2 I) a (2) b -(22)a(21) b; these two merely differ in sign; and similarly A 2 B 1 B2 yields (2)a(2 2 I) b -(21)a(22)b, and that due to A 1 A 2 B2 merely differs from it in sign.
- We will choose from the forms in such manner that the product of letters A is either a power of A i, or does not contain A i; this rule leaves us with A2B 1 B 2 and A 2 B,Bs; of these forms we will choose that one which in letters B is earliest in ascending dictionary order; this is A2B 1 B 21 and our earliest perpetuant is (22)a(21)b - (221)a(2)b, and thence the general form enumerated by the generating function Z7 is (1-z)(1 - z2)2 (2 A2+2) a (2Ã¯¿½2 +1 1Ã¯¿½1 +1) b - (2 A2+2 1)a (2 M2+1 1, ai)b ...
- By the rules we select the product A2B 3 B 2 Bi, giving the simplest perpetuant of weight 15, viz: (24) a (3212) b - (241)a(321)b+(2412)a(32)b; and thence the general form (2A2+4)a(3Ã¯¿½3+12Ã¯¿½2+11Ã¯¿½1+ 2)b -...
- (2A2+ 41Ã¯¿½i +2)a(3Ã¯¿½3+12Ã¯¿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.
- then of course (AB) = (ab) the fundamental fact which appertains to the theory of the general linear substitution; now here we have additional and equally fundamental facts; for since A i = Xa i +,ia2, A2= - Ã¯¿½ay + X a2, AA =A?-}-A2= (X2 +M 2)(a i+ a z) =aa; A B =AjBi+A2B2= (X2 +, U2)(albi+a2b2) =ab; (XA) = X i A2 - X2 Ai = (Ax i + /-Lx2) (- /-jai + Xa2) - (- / J.x i '+' Axe) (X a i +%Ga^2) = (X2 +, u 2) (x a - = showing that, in the present theory, a a, a b, and (xa) possess the invariant property.
- X (xa) ki (xb) k2 (xc) k3...axibx2cx3...xx = (AB) hi (AC) h2 (BC) h3...A11 4 13 A1,14131 A B I ?C"' B C "' X (XA) ki (XB) k2 (XC) k3...AXB122cCk...X If this be of order e and appertain to an nie L Eke-/1+2m =e, h i+h2+Ã¯¿½Ã¯¿½Ã¯¿½+221+ji+j2+Ã¯¿½Ã¯¿½Ã¯¿½+kl+li =n, hi+h3+..Ã¯¿½+222+ji+j3+Ã¯¿½Ã¯¿½Ã¯¿½+k2+12 = n, h2+h3+Ã¯¿½Ã¯¿½Ã¯¿½+223+j2+%3+Ã¯¿½.Ã¯¿½+k3+13 =n; viz., the symbols a, b, c,...
- The number of different symbols a, b, c,...denotes the the covariants are homogeneous, but not in general isobaric functions, of the coefficients of the original form or forms. Of the above general form of covariant there are important transformations due to the symbolic identities: - (Ã¯¿½b) 2 2)2 = a b - a b; (xÃ¯¿½ = as a consequence any even power of a determinant factor may be expressed in terms of the other symbolic factors, and any uneven power may be expressed as the product of its first power and a function of the other symbolic factors.
- For the linear forms aoxi+aix2=ax = b x there are four fundamental forms ax=a:,x i --+a i x 2 of degree-order (1, 1), x7-1--4_ Ã¯¿½ (0, 2), a i x, 1), a b =a2+ai Ã¯¿½ (2, 0), (iii.) and (iv.) being the linear covariant and the quadrinvariant respectively.
- This is the fundamental system; we may, if we choose, replace (ab) 2 by ab =a, 2, +2a1+a2 since the identity a a b b - a, = (ab) 2 shows the syzygetic relation (74+a 2) 2 - (ao +2a +Ã¯¿½2) = 2(aoa2 - ai).
- - Four stages in A B C D Ã‚° ```' the development of the trilobite Agnostus nudus.
- This has been accompanied by the conversion of the lamelliform gill-plates into lamelliform lung-plates, and later the development from the lung-chambers, and at independent sites, of tracheae or air-tubes (by adaptation of the vasifactive tissue of the blood-vessels) similar to those independently developed in A B FIG.
- Ã¯¿½ 37 (ii.)), and then says that A+B and 134-A, or AB and BA, are identical, where A and B are any multinomials.
- Now this is formally analogous to the distributive law of multiplication; and in fact we may look upon AFB as a particular way of multiplying A and B (not A and B).
- When a = b, a = o, and the stream is very broad compared with he wedge or lamina; so, putting w=w' (a-b)la in the penultimate ase, and A B A (7) When the polygon is closed by the walls joining, instead of reaching back to infinity at xx', the liquid motion must be due to a source, and this modification has been worked out by B.
- The image is formed by 674Ã‚° sÃ‚°Ã‚° successive total reflection at the surfaces b c and a b.
- be the distances of the loads from a b, and p the distance of R 1 from a b; then the bending moment at a b is M = R1p--E(W1p1 +-W 2 p 2 ...) where the summation extends to all the loads to the left of a b.
- - occur AC300000000 IIl the section considered, and let W z be the load at a b when the bending moment there is greatest, and W„ the last load to the right then on the bridge.
- Owing to a ridiculous muddle, this Arabic word has been taken to mean "warning" lizard, hence the Latin Monitor, one of the many synonyms of this genus, now often used as the a b a vernacular.
- Diagram of the structure of a medusa; the ectoderm is left clear, the endoderm is dotted, the mesogloea is shaded black; a-b, principal axis (see Hydrozoa); to the left of this line the section is supposed to pass through an inter-radius (I.R.); to the right through a radius (R).
- 8), joined A and B with 0 the centre, bisected the angle AOB by OD, so that BD became the semi-side of a circumscribed regular 12-gon; then as AB :BO: OA :: I: d 3: 2 he sought an approximation to X 1 3 and found that AB: BO >153:265.
- The fame of Weimar as a seat of musical education, though it possesses an excellent conservatoire, is based mainly on the tradition of the abb Liszt, who gathered about him here a number of distinguished pupils, some of whom have continued to make it their centre.
- In the spectroscopic observation of a single star with a slit-spectroscope, this rotation of the image presents no inconvenience, and the irregular action of a siderostat on Foucault's plan might be overcome by the following arrangement: A B (fig.
- La simple proposition que je vous en fais suffit pour vous faire voir que je ne cross point que toute fonction analytique non reelle soit vraiment reductible a la forme A+B - 1."
- The story of Hypatia appears in a considerably disguised yet still recognizable form in the legend of St Catherine as recorded in the Roman Breviary (November 25), and still more fully in the Martyrologies (see A.B.
- We may, therefore, write for the pressure at a height y p= - pgy, T A b e ?; y t L - == --ti where p is the density of the liquid, or if there are two fluids the excess of the density of the lower fluid over that of the upper one.
- % 3H `?.'titat Navajo Indian Reservation .1((?/f((!'!/1(C:??L'(4 A B Longitude c Vest of Greenwich D Ltd., valued at $8,976,00o, of which 88,000 were milch cows valued at $2,992,000.
- x a b a Ã‚°, Ã‚° w N A?
- Let OZ be an axis, as nearly vertical as it can easily be set, round which () N C A B the entire instrument may revolve through 180Ã‚°.
- He succumbed to a coalition of the chancellor The ~rt Maupeou, the duc dAiguillon and the Abb Terray, umvfrate, which depended on the favor of the kings latest 1770- mistress, Madame du Barry (December 1770); and 1774.
- log E = a+b /T+c log T E(t-to =c(t -t') (2tÃ‚°- (t+t')) E t +E; = I O a +bt +.
- The accentuation in the inflexion of perfects in the conjugation called strong, like hubiiron hiziron, which correspond to h a b u r u n t, f e c e r u n t (while in the other Romance languages the Latin type is b r ii n t: Fr.
- h passes regularly into v: cavablo (cabal I us), fava (f a b a), arvore (a r b 0 r e rn); but, on the other hand, Lat.
- wide, and of such length that when folded by joining the morticed and tenoned ends A B (fig.
- The angled cuts simulate a combination of c-axis and a-b transport, mimicking a vicinal film.
- A difference of two inches requires a B cup, a difference of three inches a C, and so on.
- Finding a plus size bra in a B cup is not always an easy task.
- For example, the Mikado M3602, 2100 are prescription glasses that boast a B titanium frame, but because of its lavish, gold coloring, looks incredibly sophisticated and elegant.
- Get a B or better and you will also receive the set of items associated with that level for use in any place.
- Washington, DC: A B B E Publishers Association, 2005.
- Washington, DC: A B B E Publishers Association, 2004.
- Show your child letters on items throughout the day, such as an "F" on the cereal box or a B on the license plate on the car in front of you.
- By following across and down to where the month and age intersect, the mother will find either a box containing a B for boy or a G for girl.
- There, my family put out an APB for a good midwife with reasonable rates.
- Research has shown that folic acid, a B vitamin used to make new cells, can be vital in preventing birth defects.
- Swimsuits for tween and teen girls are typically designed with an A or at most a B cup bra size and come in small, medium or large, but not all girls are sized that way.
- Finally, color is probably the detail that most people will notice upon first spotting a B.
- They also offer a 15 percent discount to students who maintain at least a B average in school.
- If the number is two inches more than your band size, you are a B cup and so forth.
- For example, if you measure 44 and your band size is 42, you will use two inches as your cup size, which equals a B cup.
- It was during this time that she went from a B cup measurement to a G cup.
- More than a B cup may require extra support to enjoy the same level of comfort.
- If you wish to go it alone with shelf bras, you should probably be a B cup or lower for the sake of comfort, support and lift.
- If you're larger than a B cup, opt for tanks with underwire bras built in.
- Title Nine's Marvel Bra: This one works well for ladies who wear a B or C cup.
- Lululemon's Ta Ta Tamer: This is listed as great for runners who wear between a B and DD size.
- An underwire style is perfect if you are a B cup or larger and/or feel that you would benefit from the extra support.
- Lingerie is available starting at a B cup.
- Mangosteen is a B vitamin with a lot of folate, and is thought to help reduce signs of aging.