# A-1 sentence example

a-1

- His proposed tax of a 1 This phrase is always ascribed to Lowe, and has become history in association with him.
- Robertson Smith, on the other hand, a new era was reached, in which the recently recognized existence of Totemism was made the basis of an attempt to give a 1 Scipione de Ricci, bishop of Pistoia from 1780 to 1791, on the ex-Jesuits requesting him to consecrate a bell dedicated to this object, issued a pastoral letter (3rd June 1784) in which he pointed out that the spirit of true religion was "far removed from fetichism," and warned his flock against "cardiolatry."
- Possessing soil, climate and apparently all the requisite elements from nature for the production of cotton to an almost boundless extent, and of a 1 Approximately.
- Let there be given n 2 quantities all a,2 a13 ï¿½ï¿½ï¿½ aln a21 a22 a23 ï¿½ï¿½ï¿½ a2n a3, a32 a33 ï¿½ï¿½ï¿½ a3n and an, an 3 ï¿½ï¿½ï¿½ ann and form from them a product of n quantities ala a2 0 a37 ...
- Similarly ali a21 a31 A =E a ik a2k a3k A li i > k > r, zï¿½k'r alr a2r air 23',!Advertisement
- Consider then the system of ni equations a21xi+a22x2+ï¿½ï¿½ï¿½ + a2nxn = 0 a31x1+a32x2+ï¿½ï¿½ï¿½+a3nx,, =0 an1x1 + an2x2 + ï¿½ ï¿½ ï¿½ +annxn = 0, which becomes on writing xs = y 8, a21y1+ a 22y2 + ï¿½ ï¿½ ï¿½ + a 2,n-lyn-1 + a 2n = 0 a3lyl +a32y2+ï¿½ï¿½ï¿½ +a3,n-lyn-i+a3n =0 an1 y1 +an2y2 +ï¿½ï¿½ï¿½ +an, n-lyn-1 +ann = 0.
- Hence_li y ` A 1n where A li and A li, are minors of the complete determinant (a11a22...ann)ï¿½ an1 ant ï¿½ï¿½ï¿½an,n-1 or, in words, y i is the quotient of the determinant obtained by erasing the i th column by that obtained by erasing the n th column, multiplied by (-r)i+n.
- If we restrict ourselves to this set of symbols we can uniquely pass from a product of real coefficients to the symbolic representations of such product, but we cannot, uniquely, from the symbols recover the real form, This is clear because we can write n-1 n-2 2 2n-3 3 a1a2 =a l a 2, a 1 a 2 = a 1 a2 while the same product of umbrae arises from n n-3 3 2n-3 3 aoa 3 = a l .a a 2 = a a 2 .
- We write;L 22 = a 1 a 2 .b 1 n-2 b2s 3 n - 3 3 n-3 3 n-3 3 a 3 = a 1 a 2 .b 1 b 2 .c 1 c2, and so on whenever we require to represent a product of real coefficients symbolically; we then have a one-to-one correspondence between the products of real coefficients and their symbolic forms. If we have a function of degree s in the coefficients, we may select any s sets of umbrae for use, and having made a selection we may when only one quantic is under consideration at any time permute the sets of umbrae in any manner without altering the real significance of the symbolism.
- A 1, A2 ï¿½ Ai, A 1 A 2, A2 and then Ao = al Ai+2a1a2AIA2+a2 A2 - (a1A1+a2A2) 2 = a?, A l = (a 1 A 1 +a2A2) (alï¿½l +a2ï¿½2) = aAaï¿½, A 2 = (alï¿½l +a2/-12) 2 = aM; so that A = aa l +2a A a u 152+aM5 2 = (aA6+a,e2)2; whence A1, A 2 become a A, a m, respectively and ?(S) = (a21+a,E2) 2; The practical result of the transformation is to change the umbrae a l, a 2 into the umbrae a s = a1A1 +a2A2, a ï¿½ = a1/ï¿½1 + a21=2 respectively.Advertisement
- Again, if 0 is uneven =20+I, the condition is a 1 a 2 ...cr 241 II(a 1 +a 2)II(cr 1 +a 2 +(73)...II(a 1 +a 2 +...+ac) =0; and the degree, in the quantities a, is 20+1 + (42+1) +(21) ï¿½...-F(254)ï¿½1) =22°-1= 2e-1-1 Hence the lowest weight of a perpetuant is 2 0 - 1 -1, when 0 is >2.
- Solving the equation by the Ordinary Theory Of Linear Partial Differential Equations, We Obtain P Q 1 Independent Solutions, Of Which P Appertain To S2Au = 0, Q To 12 B U =0; The Remaining One Is Ab =Aobl A 1 Bo, The Leading Coefficient Of The Jacobian Of The Two Forms. This Constitutes An Algebraically Complete System, And, In Terms Of Its Members, All Seminvariants Can Be Rationally Expressed.
- For the case 8=1, 0' =2, the condition is a i r 1 72 = A032=0; and the simplest perpetuant, derived directly from the product A 1 B 21 is (I)a(2)b-(21)b; the remainder of those enumerated by z3 I z.
- The names in Greek are generally 'Iavvfis Kal 'laµ0piis (= a'1 on a'?') as in the Targ.-Jon.
- The theory may be extended to the cases of p= i and p = o; so that a 3 means a.a.a.1, a 2 means a.a.i, a 1 means a.i, and a° means I (there being then none of the multipliers a).Advertisement
- To multiply A 1 by a scalar, we apply the rule A = A1E = E (Eat) ea, and similarly for division by a scalar.
- The agent chosen to preside at the nomination ceremony was Mr (afterwards Sir) Theophilus Shepstone, who was in charge of native affairs in Natal and had won in a 1 Bishop Schreuder, a Norwegian missionary long resident in Zululand, gave Sir Bartle Frere the following estimate of the three brothers who successively reigned over the Zulu: " Chaka was a really great man, cruel and unscrupulous, but with many great qualities.
- St a e Fo e i Q1ne w se E; ott cc't O` appetiama au1 on Stratf Brae unvesjon oaklo r 'jv't11„, I?
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- Three is considered normal so a -2 or a 1 are the same font size stated differently when your current font size is 3.
- The impression we get of the man is that, whether or not he actually enjoyed the full rights of Roman citizenship, he was a 1 "If it were permitted that immortals should weep for mortals, the divine Camenae would weep for Naevius the poet; for since he hath passed into the treasure-house of death men have forgotten at Rome how to speak in the Latin tongue."
- We consider the quantic to have any n number of equivalent representations a- b n -c n So that a 1 -k a 2 = b l -k b 2 - c 1 -k c 2 = ...
- 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?
- Helmholtz, of the efflux of a jet between two edges A and A 1 in an infinite wall, is obtained by the symmetrical duplication of the above, with n = 1, b = o, a' = - oo, as in fig.Advertisement
- ', In Bobyleff's problem of the wedge of finite breadth, ch nS2 = ?a b' s h n S 2 = V b a a 1 u u b, (6)?
- The system of forced loans was abolished and a 1 o% tax on real property introduced in its stead, and a law of amnesty for political offenders enacted.
- (ii) Similarly, if m is a multiple of 3, the repeated application of Simpson's second formula gives Simpson's second rule A 1?
- Hasselquist, who had travelled in that country as a 1 Some derive the name sal ammoniac from Jupiter Ammon, near whose temple it is alleged to have been found; others, from a district of Cyrenaica called Ammonia.
- He took a conspicuous part in arranging the Union of Utrecht, and in 1583 was chosen burgomaster of Antwerp. In 1585 he surrendered the city, after a 1 3 months' siege, to the Spaniards.Advertisement
- In consequence Winnipeg is already a 1 Incorporated in this year as a city.
- On the 21st of August, while the Indians were demoralized by a sortie from the garrison, the town was evacuated, and the inhabitants made a 1 The exact date of the founding of Santa Fe is not known, but the best opinion has fixed the date between 1604 and 1608, and favours the year 1605.
- During the centuries preceding the birth of Christ there grew up an apocalyptic literature which regarded as a primary truth the conception of a 1 Lactantius, Inst.
- This alliance between the two monarchs led to a 1 In Judges x.
- But a younger member of the household, Willie Douglas, aged eighteen, whose devotion was afterwards remembered and his safety cared for by Mary at a time of utmost risk and perplexity to herself, succeeded on the 2nd of May in assisting her to escape by a 1 It is to be observed that the above conclusion as to the authenticity of the Casket Letters is the same as that arrived at upon different grounds by the most recent research on the subject.Advertisement
- Its chief buildings are the citadel and many mosques, one of which is an ancient Byzantine basilica, originally a 1 Prince von Billow was credited with suggesting in his correspondence on the question of the Bundesrath that a tribunal of arbitration should be instituted to deal with all questions of capture.
- There is a 1 Clarendon, State Papers, iii.
- The Federal government completed in October 1907 the construction of a 1 According to the report of the State Geological Survey, the value of the total mineral product in the state for 1907 was $152,122,648, the values of the different minerals being as follows: coal, $54,687,382; pig iron, about $52,228,000; petroleum, $ 16, 43 2, 947; clay and clay products, $13,351,362; zinc, $6,614,608; limestone, $4,333,651; Portland cement, $2,632,576; sand and gravel, $1,367,653; natural slag, $174,282; fluorspar, $141,971; mineral waters, $91,700; lead ore, $45,760; sandstone, $14,996; and pyrite, $5700.
- His unresolved antithesis' is interpreted either diversely or with a 1 Or antitheses.
- In the case of the fraction a 1 - a2 _ a3 _a4 _ we have the relations p n = = ang n-1 - bngn-2 Taking the quantities a l..
- Resolving vertically we find that the weight of the liquid raised above the level must be equal to T(sin 0 2 - sin 01), and this is therefore equal to the area P 1 P 2 A 2 A 1 multiplied by gp. The form of the capillary surface is identical with that of the " elastic curve," or the curve formed by a uniform spring originally straight, when its ends are acted on by equal and T 2 opposite forces applied either to the ends themselves or to solid pieces attached to them.
- It formed the rallying-ground for the new generation which chafed under the tyranny of a 1?
- On warming with caustic soda it is converted into the A 1 ' 4 acid.
- There is no manual of Jainism as yet published, but there is a 1 The Hatthi Gumpha and three other inscriptions at Cuttack (Leyden, 1885); Sravana Belgola inscriptions (Bangalore, 1889); Vienna Oriental Journal, vols.
- In the case where X, Y, Z are of an order exceeding 2 the required number n 2 - r of common intersections can only occur by reason of common multiple points on the three curves; and assuming that the curves X=o, Y=o, Z = o have a 1 +a 2 +a 3 ...
- (n-I)2an-1 =n2-I; but to this must be joined the condition a 1 -F3a 2 +6a 3 ...
- In analytical geometry, r the equation axe+2hxy+bye+2gx+2fy+ c = o represents an ellipse when ab > h 2; if the centre of the curve be the origin, the equation is a 1 x 2 +2h 1 xy+b i y 2 =C 1, and if in addition a pair of conjugate diameters are the axes, the equation is further simplified to Ax e +By 2 = C. The simplest form is x 2 /a 2 +y 2 /b 2 = 1, in which the centre is the origin and the major and minor axes the axes of co-ordinates.
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- The problem was overcome by using a 1 ton chain hoist for the raising.
- Lightly cook 1 sliced leek in a 1 tbsp olive oil to soften.
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- People who carry this condition have a 1 in 10 chance of developing a sarcoma.
- The diving boards included a 1 meter springboard and a symmetrically stepped stage up to 8 feet high.
- The DPF80 series (Dual Rate totalizer) is a 5 digit Ratemeter, 6 digit Totalizer in a 1 /8 DIN package.
- A supplementation of up to a 1 mg of elemental zinc / kg body weight / day is therefore recommended.
- The lower vibration number is justified by due consideration of the three divisions of the male voice, bass, tenor and alto, as given by Praetorius, whose Cammerton very closely corresponds with Bernhardt Schmidt's Durham organ, 1663-1668, the original pitch of which has been proved by Professor Armes to have been a 1 474.1.
- Such an arrangement would distribute a 1 For a history of the discovery of the earth return, see Fahie, History of Electric Telegraphy to the Year 18 37, pp. 343-348.
- Let there be given n 2 quantities all a,2 a13 Ã¯¿½Ã¯¿½Ã¯¿½ aln a21 a22 a23 Ã¯¿½Ã¯¿½Ã¯¿½ a2n a3, a32 a33 Ã¯¿½Ã¯¿½Ã¯¿½ a3n and an, an 3 Ã¯¿½Ã¯¿½Ã¯¿½ ann and form from them a product of n quantities ala a2 0 a37 ...
- Similarly ali a21 a31 A =E a ik a2k a3k A li i > k > r, zÃ¯¿½k'r alr a2r air 23',!
- If the jth column be identical with the i ll ' the determinant A vanishes identically; hence if j be not equal to i, k, or r, a 11 a 21 a31 0 =I alk a2k a3k A11.
- Consider then the system of ni equations a21xi+a22x2+Ã¯¿½Ã¯¿½Ã¯¿½ + a2nxn = 0 a31x1+a32x2+Ã¯¿½Ã¯¿½Ã¯¿½+a3nx,, =0 an1x1 + an2x2 + Ã¯¿½ Ã¯¿½ Ã¯¿½ +annxn = 0, which becomes on writing xs = y 8, a21y1+ a 22y2 + Ã¯¿½ Ã¯¿½ Ã¯¿½ + a 2,n-lyn-1 + a 2n = 0 a3lyl +a32y2+Ã¯¿½Ã¯¿½Ã¯¿½ +a3,n-lyn-i+a3n =0 an1 y1 +an2y2 +Ã¯¿½Ã¯¿½Ã¯¿½ +an, n-lyn-1 +ann = 0.
- Hence_li y ` A 1n where A li and A li, are minors of the complete determinant (a11a22...ann)Ã¯¿½ an1 ant Ã¯¿½Ã¯¿½Ã¯¿½an,n-1 or, in words, y i is the quotient of the determinant obtained by erasing the i th column by that obtained by erasing the n th column, multiplied by (-r)i+n.
- It can be shown that the number 0 enumerates distributions of a certain nature defined by the partitions (,Ã¯¿½i,Ã¯¿½2...), (sT1sÃ‚°2...), 1212 an = a 1 a 2 a 3 ...
- For the substitution rr xl =A 11 +1 2 12, 52=A21+Ã¯¿½2E2, of modulus A1 Ã¯¿½i = (AlÃ¯¿½.2-A2Ã¯¿½1) = (AM), A 2 Ã¯¿½2 the quadratic form a k xi -1-2a 1 x i x 2 +a 2 4 = x =f (x), becomes A41 +2A1E16 =At = OW, where Ao = aoA i +2a1AiA2 +a2Az, _ _ A 1 = ao A lÃ¯¿½l +ai(A1/.22+A2Ã¯¿½1) +7,2X2/22, A2 = aoÃ¯¿½l +2a1Ã¯¿½1/Ã¯¿½2 +a 2Ã¯¿½2 Ã¯¿½ We pass to the symbolic forms a:= (aixi+a2x2) 2, A 2 = (A 151+ A 26) 2/ by writing for ao, al, a2 the symbols ai, a 1 a 2, a?
- A 1, A2 Ã¯¿½ Ai, A 1 A 2, A2 and then Ao = al Ai+2a1a2AIA2+a2 A2 - (a1A1+a2A2) 2 = a?, A l = (a 1 A 1 +a2A2) (alÃ¯¿½l +a2Ã¯¿½2) = aAaÃ¯¿½, A 2 = (alÃ¯¿½l +a2/-12) 2 = aM; so that A = aa l +2a A a u 152+aM5 2 = (aA6+a,e2)2; whence A1, A 2 become a A, a m, respectively and ?(S) = (a21+a,E2) 2; The practical result of the transformation is to change the umbrae a l, a 2 into the umbrae a s = a1A1 +a2A2, a Ã¯¿½ = a1/Ã¯¿½1 + a21=2 respectively.
- Again, if 0 is uneven =20+I, the condition is a 1 a 2 ...cr 241 II(a 1 +a 2)II(cr 1 +a 2 +(73)...II(a 1 +a 2 +...+ac) =0; and the degree, in the quantities a, is 20+1 + (42+1) +(21) Ã¯¿½...-F(254)Ã¯¿½1) =22Ã‚°-1= 2e-1-1 Hence the lowest weight of a perpetuant is 2 0 - 1 -1, when 0 is >2.
- The theory may be extended to the cases of p= i and p = o; so that a 3 means a.a.a.1, a 2 means a.a.i, a 1 means a.i, and aÃ‚° means I (there being then none of the multipliers a).
- The Rockanje Lake near Brielle is remarkable for the strong salty solution which covers even the growing reeds with a 1 The datum plane, or basis of the measurement of heights, is throughout Holland, and also in some of the border districts of Germany, the Amsterdamsch Peil (A.P.), or Amsterdam water-level, and represents the average high water-level of the Y at Amsterdam at the time when it was still open to the Zuider Zee.
- The forces acting on the portion of liquid P 1 P 2 A 2 A 1 are - first, the horizontal pressures, - pgy i and z pgy 2; second, the surface-tension T acting at P i and P2 in directions inclined 01 and 0 2 to the horizon.
- The poet appears to have attended a dame's school in earliest infancy, but on his mother's death, when he was six years old, he was sent to boarding-school, to a Dr Pitman at Markyate, a 1 Alderman Cooper thus spelt his name and all the family from that day to this, including the poet, have so pronounced it.
- Reverse grouping should be performed using A 1 and B reagent red cells.
- Charging down a 1 mile long mountain run, cutting back and spraying rooster tails of snow in the air.
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- The first private state bank was opened in 1817; an act of 1831 provided for a safety fund guaranteeing bank circulations and derived from a 41% tax on capital stock and a 1 o% tax on profits; but this law was modified in 1842, the tax being removed from banks giving specie guarantees; and a free banking act was passed in 1851.
- He therefore urged Turkey to give up to Venice certain places in Dalmatia as a 1 The definitive treaty was signed at Constantinople on the 16th of April 1712 (renewed June 5, 1713).
- For the substitution rr xl =A 11 +1 2 12, 52=A21+ï¿½2E2, of modulus A1 ï¿½i = (Alï¿½.2-A2ï¿½1) = (AM), A 2 ï¿½2 the quadratic form a k xi -1-2a 1 x i x 2 +a 2 4 = x =f (x), becomes A41 +2A1E16 =At = OW, where Ao = aoA i +2a1AiA2 +a2Az, _ _ A 1 = ao A lï¿½l +ai(A1/.22+A2ï¿½1) +7,2X2/22, A2 = aoï¿½l +2a1ï¿½1/ï¿½2 +a 2ï¿½2 ï¿½ We pass to the symbolic forms a:= (aixi+a2x2) 2, A 2 = (A 151+ A 26) 2/ by writing for ao, al, a2 the symbols ai, a 1 a 2, a?
- If A 1 = X a i e i, B i = /if i e i, the distributive law of multiplication is preserved by assuming A1B1=E(a0 i 3)eiej; it follows that A 1 B 1 = - B 1 A 1, and that A l 2 = o.
- 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.
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