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ap

ap

ap Sentence Examples

  • Dinon ap. Athen.

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  • 5, speaks of "mare-milkers," and Hesiod, ap. Strabo vii.

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  • If AP =p, the element of volume is dx2xpdp, and the number A of particles to be found in it is deduced by the introduction of the factor n.

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  • ap. Apical organ.

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  • Ctesias ap. Photium 2-7; many traces of it were afterwards transferred to the story of Ardashir I.

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  • Berossus (ap. Euseb.

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  • Ephorus ap. Strabo, viii.

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  • He has only one symbol (written somewhat like a final sigma) for an unknown quantity, which he calls apc0µ6s (defined as "an undefined number of units"); the symbol may be a contraction of the initial letters ap, as A Y, K Y, D Y O, &c., are for the powers of the unknown (Suvaµcs, square; icu(30s, cube; Svva,uo& va i ccs, fourth power, &c.).

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  • In 1485 Henry, earl of Richmond, disembarked here on his return from France, and was welcomed on landing by Sir Rhys ap Thomas and much of the chivalry of Wales.

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  • 1, and Arrian ap. Phot.

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  • Some personal relics of the celebrated Sir Rhys ap Thomas, K.G.

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  • All symmetric functions are expressible in terms of the quantities ap g in a rational integral form; from this property they are termed elementary functions; further they are said to be single-unitary since each part of the partition denoting ap q involves but a single unit.

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  • The transformation to the normal form, by the solution of a cubic and a quadratic, therefore, supplies a solution of the quartic. If (X�) is the modulus of the transformation by which a2 is reduced to 3 the normal form, i becomes (X /2) 4 i, and j, (Ap) 3 j; hence?

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  • When C vanishes j has the form j = pxg x, and (f,j) 3 = (ap) 2 (aq)ax = o.

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  • Hence, from the identity ax (pq) = px (aq) -qx (ap), we obtain (pet' = (aq) 5px - 5 (ap) (aq) 4 pxg x - (ap) 5 gi, the required canonical form.

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  • versions ap X ab and aXab), a Hebrew name, mentioned only once in the Old Testament (Gen.

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  • ap, Anterior lateral process (same as RAP and LAP in fig.

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  • Only the central and horizontal parts of this structure correspond precisely to the entosternite of Limulus: the right and left anterior processes(marked ap in figs.

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  • » III A, Dorsal view; I to VI, HIV the six prosomatic ap -' V pendages.

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  • A well-preserved gateway of red sandstone and portions of two towers of the castle are included in the buildings of the present gaol, and the old parish church of St Peter contains some interesting monuments, amongst them being the altar tomb (of the 6th century) of Sir Rhys ap Thomas, K.G., and his wife, which was removed hither for safety at the Reformation from the desecrated church of the neighbouring Priory of St John.

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  • Thus, while of German periodicals ap p earing in Hungary there were in 1871 only 85, they increased in 1880 to 114, in 1885 to 141; and they were, at the beginning of 1895, still 128, in spite of the constant spread of that process of Magyarization which has, since 1880, considerably changed the linguistic habits of the people of Hungary.

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  • It should be observed that, by analogy with the definition of a fraction, a P l q mean (al/q)P, not (aP)llq.

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  • The question is to what amount must the distance AP be increased in order that the difference of situation may make itself felt in the image.

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  • Now since AP is very small, AL' - PL'= AP sin a, where a is the angular semi-aperture L'AB.

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  • According to the standard adopted, the condition of resolution is therefore that AP, or s, should exceed 1X/sin a.

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  • If 2R be the diameter of the objectglass and D the distance of the object, the angle subtended by AP is E/D, and the angular resolving power is given by X/2 D sin a = X/2 R (3) This method of derivation (substantially due to Helmholtz) makes it obvious that there is no essential difference of principle between the two cases, although the results are conveniently stated in different forms. In the case of the telescope we have to deal with a linear measure of aperture and an angular limit of resolution, whereas in the case of the microscope the limit of resolution is linear, and it is expressed in terms of angular aperture.

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  • Then, if Q be any radiant point and Q' its image (primary focus) in the spherical mirror AP, we have 1 1 2cos4) v l + u 'a ' ' where v 1 = AQ', u =AQ, a =OA, =angle of incidence QAO, equal to the angle of reflection Q'AO.

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  • Taking as the standard phase that of the secondary wave from A, we may represent the effect of PQ by cos 27r (_) .ds, where, l = BP - AP is the retardation at B of the wave from P relatively to that from A.

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  • The music of the temple attracted the attention of Theophrastus (ap. Porph.

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  • Resolutions, ap. Mansi, op. cit.

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  • Ignoring temperature effect, and taking the density as a function of the pressure, surfaces of equal pressure are also of equal density, and the fluid is stratified by surfaces orthogonal to the lines of force; n ap, dy, P d z, or X, Y, Z (4) are the partial differential coefficients of some function P, =fdplp, of x, y, z; so that X, Y, Z must be the partial differential coefficients of a potential -V, such that the force in any direction is the downward gradient of V; and then dP dV (5) ax + Tr=0, or P+V =constant, in which P may be called the hydrostatic head and V the head of potential.

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  • 3 / second, across any curved line AP from A to P, this being the same for all lines in accordance with the continuity.

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  • Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.

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  • rf > a> b> o> a'> -Do; and then so that PT =c/Zir, and the curve AP is the tractrix; and the coefficient of contraction, or breadth of the jet breadth of the orifice - +i' A change of S2 and 0 into nS2 and nO will give the solution for two walls converging symmetrically to the orifice AA 1 at an angle zr/n.

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  • 4 let AB be the axis of composition, AP be the vapour pressure of pure A, BQ the vapour pressure of pure B.

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  • For immiscible liquids the vapour pressure curve is the horizontal line ab, described so that aP = QB and bQ=AP. For partially miscible liquids the curve is Pa i b i Q.

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  • While directing a fire of hot shot to burn the "Congress," Commodore Buchanan of the "Merrimac" was severely wounded and was succeeded in the command by Lieutenant Catesby ap Roger Jones.

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  • Ap. 8).

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  • According to Castor (ap. Syncell.

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  • Littre accepts the following thirteen as absolutely genuine: (I) On Ancient Medicine (IIEpi ap X airs i f rpLK'Y / s); (2) The Prognostics (IIpoyvcovruK6v); (3) The Aphorisms ('AOopc-pot); (4) The Epidemics, i.

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  • The resultant force due to these two pointcharges must then be in the direction CP, and its value E is the vector sum of the two forces along AP and BP due to the two point-charges.

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  • The historical situation depicted must then fall within the lifetime of this Judas, whose two grandchildren Zoker and James (Hegesippus ap. Phil.

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  • Sidetes) by their testimony before the authorities brought to an end the (Palestinian) persecution of Domitian (Hegesippus ap. Eus.

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  • 7), the cause of his apprehension " on the ground that he was a descendant of David and a Christian " (Hegesippus ap. Eus.

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  • Hegesippus (ap. Eus.

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  • Meanwhile Aquitaine was gradually lost; the defeat of Pembroke off La Rochelle deprived England of the command of the sea, and Sir Owen ap Thomas, a grand-nephew of Llewelyn ab Gruffyd, planned, with French help, an abortive invasion of Wales.

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  • 43) and Phylarchus (ap. Athen.

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  • trans., 18 97), p. 150.4 Letter to Florinus ap. Euseb.

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  • ad victorem, ap. Euseb.

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  • ap par wxos, a man-at-arms), the name given to some Greeks who discharged certain military and police functions under the Turkish government.

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  • c. Ap. i.

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  • 3 is given by the expression 1(AP. NB+NQ.

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  • It should be noticed (a) that AP, NQ,.

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  • there are entered the distances AN, AP, AQ,.

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  • (i) If cp(x) is an explicit function of x, we have (o ' n ud(x)dx?A3 I P(x 1)+ Ap P(x 3)+ ...

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  • - According to a fragment of Papias (ap. Eus.

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  • 22), mentioned by Homer, "Ap?cros 0', rtv cal aµaEav i riKMo-tv KaMovrac (Il.

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  • Dionysius of Corinth, ap. Eus.

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  • I]) and the Alogi (ap. Epiphanius, Haer.

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  • Moreover, the wide currency in early times of the tradition of the single-year ministry (Ptolemaeus, ap. Iren, loc. cit.; Clementine Homilies, xvii.

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  • 279; Julius Africanus, ap. Routh, Rell.

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  • Other methods of expressing the year 29 appear in Hippolytus's Paschal Cycle and Chronicle, and in the Abgar legend (ap. Eusebius, H.E.

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  • vi., Dionysius of Corinth ap. Eus.

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  • 25, &c., combined with what we know from Tacitus of the course of the persecution, and from Gaius of Rome, ap. Eus.

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  • 12 ap. Phot.

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  • He is perhaps scarcely consistent in ap proving the concession of temporary monopolies to joint-stock companies undertaking risky enterprises "of which the public is afterwards to reap the benefit."

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  • This, however, may be the origin of Ctesias's statement (ap. Diod.

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  • From this it was an easy development, which prevailed before the end of the 2nd century, for churches to send the consecrated Bread to one another as a sign of communion (the EbX apu ria mentioned by Irenaeus, ap. Eus.

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  • 4a,Ap, Metaphysics, i.

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  • " for the essence is indivisible " (tiroµov y ap To EISos, Met.

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  • In the first place, the reason why the account of prudence begins by confusing the speculative with the practical is that the Eudemian Ethics starts from Plato's Philebus, where, without differentiating speculative and practical knowledge, Plato asks how far good is prudence (cbpovoacs), how far pleasure (7)Sovi 7); and in the Eudemian Ethics Aristotle asks the same question, adding virtue (ap€r,) in order to correct the Socratic confusion of virtue with prudence.

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  • Philochorus in his Atthis (ap. Macrobius loc. cit.) further identified this divinity, at whose sacrifices men and women exchanged garments, with the moon.

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  • - Vita, ap. Muratori, Script.

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  • - Vitae, ap. Muratori, iii.

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  • - Manetti, Vita Nicolai V., ap. Muratori, Script.

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  • - Ammanati, Epistolae et commentarii (1506); Gaspar Veronensis, Vita, ap. Marini, Archiatri ii.

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  • Tommasini (1890); Notajo di Nantiporto, Diarii, ap. Muratori, Script.

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  • 2; Jacobus Volaterranus, Diarium, ap. Muratori, Script.

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  • - Massarelli, ap. Dollinger, Concil.

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  • The name Lemnos is said by Hecataeus (ap. Steph.

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  • 3, 1 and c. Ap. i.

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  • From their first ap p earance these new hairs are white and stiff, and they are confined to the sides and back of the body.

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  • ap. Phot.

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  • size.) ap, Apothecium.

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  • Hieronymus of Rhodes (ap. Diog.

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  • Pamphila and the spurious letter from Thales to Pherecydes, ap. Diog.

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  • This is unquestionably the meaning of the statement of Pamphila (temp. Nero), ap. Diog.

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  • 27); (4) he determined the diameter of the sun to be the 720th part of the zodiac; 6 (5) he appears to have pointed out the constellation of the Lesser Bear to his countrymen, and instructed them to steer by it [as nearer the pole] instead of the Great Bear (Callimachus ap. Diog.

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  • 1, ap. Muratori, Rer.

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  • a, ap, c, c.o, c.t, d.v, e, ep, g Whatever may be the conclusion as to the position of Dinophilus and Histriodrilus, it seems only reasonable to suppose that Polygordius and Protodrilus, so far from representing a stage in the phylogeny of the Annelida before setae were developed, have lost the setae, which are already in a reduced state in Saccocirrus.

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  • 60, ap. Pertz, iii.

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  • ap. Eurip. Orest.

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  • Bernard himself initiated this policy by building a castle at Talgarth on the Upper Wye, but in 1091 he moved southwards, defeated the regulus of Brycheiniog, Bleddyn ab Maenarch, and his brother-in-law Rhys ap Tewdwr, the prince of south-west Wales, and with materials obtained from the Roman fort of Caer Bannau, built a castle at Brecon, which he made his caput baroniae.

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  • 106; Berossus ap. Euseb.

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  • In January 1485 Richard intervened to prevent Fox's appointment to the vicarage of Stepney on the ground that he was keeping company with the "great rebel, Henry ap Tuddor."

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  • Then or after the battle of Gaza in 312 B.C. Ptolemy was opposed by the Jews and entered Jerusalem by taking advantage of the Sabbath rest (Agatharchides ap. Jos.

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  • Pointing out that the sophists of that dialogue " profess Eis ap€riffs E7rt,u XELav 7rporpNiaL by means of dialogue," that ' they challenge the interlocutor inr w Xoyov," that " their examples are drawn from common objects and vulgar trades," that " they maintain positions that we know to have been held by Megarians and Cynics," he infers that " what we have here presented to us as ' sophistic ' is neither more nor less than a caricature of the Megarian logic "; and further, on the ground that " the whole conception of Socrates and his effect on his contemporaries, as all authorities combine to represent it, requires us to assume that his manner of discourse was quite novel, that no one before had systematically attempted to show men their ignorance of what they believed themselves to know," he is " disposed to think that the art of disputation which is ascribed to sophists in the Euthydemus and the Sophistes (and exhaustively analysed by Aristotle in the HEpi originated entirely with Socrates, and that he is altogether responsible for the form at least of this second species of sophistic."

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  • He was a pupil of Anaxagoras, and is said by Ion of Chios (ap. Diog.

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  • In particular, if we consider a length AP beginning at the lowest point A, then resolving horizontally and vertically we have T cos ~=T0, T sin ~ (6)

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  • If the chain be uniform we have W = ws, where s is the arc AP: hence ws=To tan ~.

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  • The vertical through the centre of gravity of the arc AP (see fig.

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  • If we take A as origin and AN as axis of x, the weight of AP may be denoted by wx, where w is the weight per unit length at A.

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  • Since PNS is a triangle of forces for the portion AP of the chain, we have wx/To=PN/NS, or yW.Xu/2T5, (14)

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  • The equation of the latter, referred to its principal axes, being as in II (41), the co-ordinates of the point J where it is met by the instantaneous axis are proportional to p, q, r, and the direction-cosines of the normal at J are therefore proportional to Ap, Bq, Cr, or X, u, v.

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  • Cj = (Moga/c)y+aQ, C4 = (Moga/c)x aP, ct = 0.

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  • At any point of this we have x y I = Ap. Bq: Cr, and the equation is therefore (I ~~r) x1+ (1 ~lll) yf+ (1 ~ 12=0.

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  • If we multiply theta by p, q, r, respectively, or again by Ap, Bq, Cr respectively, and add, we verify that the expressions Ap2 + Bqf + Cr1 and A1p2 + Bfqi + Ciri are both consta~it.

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  • in any direction AP parallel to the D plane of rotation is equal to the total velocity of the point m, found by letting fall Fm perpendicular to AP;

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  • Hence also the ratio of the com ponents of the velocities of two points A and B in the directions AP and BW respectively, both in the plane of rotation, is equal to the ratio of the perpendiculars Fni and Fn.

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  • Mariano Martinez de Lejanza (acting) Jose Chavez (acting) Juan Bautista Vigil y Alarid (acting) Under The United States Governors by Military Ap Bibliography.

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  • Some degree of peace was, however, given to the distracted country during the reign of Llewelyn ap Seissyllt, the husband of Angharad, heiress of Gwynedd, who at length secured the overlordship or sovereignty of all Wales, and reigned till 1022.

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  • The prince of Gwynedd henceforth considered himself as a sovereign, independent, but owing a personal allegiance to the king of England, and it was to obtain a recognition of his rights as such that Llewelyn ap Iorwerth, " the Great," consistently strove under three English kings, and though his resources were small, it seemed for a time as though he might be able by uniting his countrymen to place the recognized autonomy of Gwynedd on a firm and enduring basis.

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  • But in 1199 the celebrated Gerald de Barri (Giraldus Cambrensis), archdeacon of Brecon and a member of the famous Norman baronial house of de Barri, and also through his grandmother Nesta a great-grandson of Prince Rhys ap Tudor of Deheubarth, was elected bishop by the chapter of St Davids.

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  • Innocent was inclined to temporize, whilst the Welsh chieftains, and especially Gwenwynwyn of Powys, loudly applauded Gerald's action, but Llewelyn ap Iorwerth himself prudently held aloof from the controversy.

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  • Through the instrumentality of the celebrated Sir Rhys ap Thomas (1451-1527), the wealthiest and the most powerful personage in South Wales, Henry Tudor, earl of Richmond, on his landing at Milford Haven in 1485 found the Welsh ready to rise in his behalf against the usurper Richard III.

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  • The idea that Lamentations was originally appended to Jeremiah in the Hebrew Canon, as it is in the old versions, and was afterwards separated from it and added to the other Megilloth for the liturgical convenience of the Synagogue, rests on the fact that Josephus (Ap. i.

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  • Baethgen ap. Kautzsch, Die Heilige Schrift d.

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  • 4.5; Dinon ap. Aelian.

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  • Eratosthenes, for instance, speaks (ap. Strabo i.

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  • had not succeeded in regaining the full power of his predecessors, he felt justified.in again assuming the title king of kingswbich Pompey declined to acknowledge and even in proclaiming himself as god (Phlegon, Jr. 12 ap. Phot.

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  • in his Parthica (ap. Phot.

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  • Ap. i.

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  • 176 and Cornelius Balbus, ap. Macrobius, Sat.

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  • In studying these variations we may if we please take as our independent variable the length s of the meridian section AP reckoned from A.

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  • Mold Castle was probably built by Robert Monthault (temp. William Rufus), was taken and destroyed by Owen Gwynedd in 1144-1145, its site lost to the English and retaken by Llewelyn ap Iowerth in 1201, and by Gruffydd Llwyd in 1322.

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  • of James to Clement, ap. Clem.

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  • Bartlet (Ap. Age, pp. 217-250) pleads for it, and the view is still common among English interpreters.

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  • C. McGiffert (Ap. Age) place it in the period of Domitian; Baur (Ch.

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  • Th.), Hausrath (Ap. Age), H.

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  • In 1220 Llewelyn ap Iorwerth, prince of North Wales, during the absence of William Marshal II., earl of Pembroke, attacked and burnt the suburbs, but failed to reduce the castle by assault.

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  • From the road over the fine Llanberis pass towards Capel Curig, a turn to the right leads to Beddgelert, through Nant Gwynnant ("white" or "happy valley," or "stream"), where Pembroke and Ieuan ap Robert (for the Lancastrians)had many skirmishes in the time of Edward IV.

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  • On the possible identity of the name with Usoos, the Phoenician demi-god (Philo of Byblus, ap. Eusebius, Praep. Evang.

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  • In June 1696 Bernoulli addressed a letter to the mathematicians of Europe challenging them to solve two problems - (1) to determine the brachistochrone between two given points not in the same vertical line, (2) to determine a curve such that, if a straight line drawn through a fixed point A meet it in two points P 1, P 2, then AP 1 m +AP 2 m will be constant.

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  • i and Ctesias ap. Athen.

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  • But the citizens held out against him, and presently the ap,proach of the royal army was reported.

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  • That he was a friend of the former and wrote an account of his life we learn from Hilary (Vita Hon., ap. Migne, 1.1260).

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  • As he succeeded Honoratus and Hilary in this office, this date cannot well be later than the year 426 or 427, when the former was called to Arles, whither he seems to have summoned Hilary before his death in 429 (Eucherii Instructio ad Salonium, ap. Migne, 1.773; Salv., Ep. ii.).

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  • If French scholars are right in assigning Hilary's Vita Honorati to 430, Salvian, who is there called a priest, had probably already left Lyons for Marseilles, where he is known to have spent the last years of his life (Gennadius, ap. Migne, Iviii.

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  • 1.26), 368 stades, and Clitarchus (ap. Diod.

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  • 417, ap. Diod.

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  • Born about the middle of the 5th century B.C., Clearchus was sent with a fleet to the Hellespont in 411 and became governor (ap,uooTr t s) of Byzantium, of which town he was proxenus.

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  • of Aberdare, was according to tradition the scene of a battle at which Rhys ap Jewdwr, prince of Dyfed, was defeated by the allied forces of the Norman Robert Fitzhamon and Iestyn ab Gwrgan, the last prince of Glamorgan.

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  • Most of the Norman leaders were near relations, many being descended from Nesta, daughter of Rhys Ap Tudor, prince of South Wales, the most beautiful woman of her time, and mistress of Henry I.

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  • Egica and Witiza ap ic, - 7 pear to have continued the ~i~a - -.

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  • (old British history and Welsh, brought from Gloddaeth), a harp dated 1568, torques (torchau), &c. Henry VII., then earl of Richmond, is said to have been concealed here in the reign of Richard III., when the lord of Mostyn was Richard ap Howel.

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  • ANAXAGORAS, Greek philosopher, was born probably about the year 500 B.C. (Apollodorus ap. Diog.

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  • Although the Welsh name of Llanandras is said to denote a foundation by St Andras ap Rhun ap Brychan in the 5th century, the place seems to have been an obscure hamlet in the lordship of Moelynaidd until the 14th century, when Bishop David Martyn of St Davids (1290-1328) conferred valuable market privileges upon this his native place, which on doubtful authority is said to derive its English name from this priest.

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  • airworthy example based at the museum is owned and operated by Mr. Elfan ap Rees.

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  • If the AP is understating their income they are probably also defrauding the government.

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  • A classical 2005 ap news story top heroine in dire distress invariably exclaims aloud: " Will _no_ one aid me?

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  • Elton John ends feud with George Michael (AP via Yahoo!

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  • idle timeouts may be applied and the text messages in all the default URLs on the AP can be customized.

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  • Ignition was as slow as can be expected from old AT AP, but the boost was good, and surprisingly loud.

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  • Tom ap Rhys Price was killed by teenage muggers to whom he had already given all his money.

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  • Biopsies were obtained from 10 patients with early onset periodontitis (EOP) and 10 patients with adult periodontitis (AP ).

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  • projectile used in military ammunition include armor piercing, or AP.

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  • Pro: use of Open Standards rather than becoming increasingly proprietary Con: not all of DC CD AP is agreed yet.

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  • AP Preliminary Report on sale of training course for programming to an unsuitable, gullible, punter.

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  • quintessence thrums within him [Uath ap Draen] Úath steps back, slightly.

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  • sandalwood base, according to AP.

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  • sonorous voice announce: " Sion ap Robert!

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  • Golden wonder Published: 12 January, 2006 Leading potato supplier Greenvale AP has launched a new spud, especially suited for crisping.

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  • The other role model was my PhD supervisor at Cambridge, Tom ap Rees.

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  • Let P AP (fig.

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  • Rhayader, built close to the Falls of the Wye (whence its name), owes its early importance to the castle erected here by Prince Rhys ap Griffith of South Wales, c. 1178, in order to check the English advance up the Wye Valley.

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  • ': opal e ° °o T A R ple ' ag a ',ap iJ,wl Karkinit A C K r B L Scale, English Miles D S E A 32 Stavropol P O L A PI A N L A s E Derbent ° I?

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  • Hence the sun (according to Mimnermus ap. Athenaeum xi.

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  • The word is Celtic, appearing in Welsh (very frequently) as afon, in Manx as aon, and in Gaelic as abhuinn (pronounced avain), and is radically identical with the Sanskrit ap, water, and the Lat.

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  • on the execution for high treason of Sir Rhys's grandson, Rhys ap Griffith, but were restored to the family under Queen!Mary.

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  • Julius Hare belonged to what has been called the "Broad Church party," though some of his opinions ap p roach very closely to those of the Evangelical Arminian school, while others again seem vague and undecided.

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  • Other titles of kindred meaning are ap X 77yfLS (" founder") and 7ravaXais, the protectress of the Achaean league.

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  • The transformation to the normal form, by the solution of a cubic and a quadratic, therefore, supplies a solution of the quartic. If (X�) is the modulus of the transformation by which a2 is reduced to 3 the normal form, i becomes (X /2) 4 i, and j, (Ap) 3 j; hence?

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  • (iii.) (a) If a= then x = aP. (b) If p = log a x, then x = aP. (2) Where the inverse operation is performed with the unknown quantity or number: (i.) If B=A-X, then A=B+X.

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  • Dafydd ap Ieuan ap Einion held it for the Lancastrians, until famine, rather than Edward IV., made him surrender.

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  • bouring point P, also self luminous, in the plane of the object, the waves which issue from it will arrive at B with phases no longer absolutely concordant, and the discrepancy of phase will increase as the interval AP 2 " Man kann daraus schliessen, was moglicher Weise durch Mikroskope noch zu sehen ist.

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  • Let AP (fig.

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  • (12) Along the stream line xBAPJ, t ' =0, u=ae-" c bl, n; (13) and over the jet surface JPA, where the skin velocity is Q, - q = - Q, u = ae rs Q /m = ae rs lc, (14) ds denoting the arc AP by s, starting at u = a; a ' ch nS2=cos nB= -a' u u - - a b' (15) a l a - b l u - a' a-a' u-b' co > u = ae'" S " c > a, and this gives the intrinsic equation of the jet, and of curvature ds '&1) _ i dw i dw dS2 P= - dO = Q a0 - Q as2 = Q c u-b d (u -a.u -a') _ ?

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  • William and Rees ap Tudor captured Conway Castle on the ist of April 1401, and Percy in company with the prince of Wales set out to recover the place, Percy providing the funds.

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  • aa, ae, af, ag, ah, ak, al, am, an, ap, aq, ar, as, at, au, av, aw, ax, ay, az, bb, In Anodonta these pallial tentacles are confined to a small area surrounding the inferior siphonal notch (fig.

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  • First, Anaximander chose for what he called his " principle " (ap) d), not water, but a corporeal element intermediate between fire and air on the one hand.

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  • His son, Griffith ap Llewelyn, who, after having been driven into exile, recovered his father's realm in the battle of Pencader, Carmarthenshire, in 1041, for many years waged a war of varying success against Harold, earl of Wessex, but in 1062 he was treacherously slain, and Harold placed Wales under the old king's half-brothers, Bleddyn and Rhiwallon.

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  • Griffith ap Cynan, of the royal house of Gwynedd, who had been first an exile in Ireland, and later a prisoner at Chester, once more returned to his native land, and defied the Norman barons with success, whilst Henry I.

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  • Meanwhile the house of Dynevor once more rose to some degree of power under Griffith ap Rhys, whose father, Rhys ap Tudor, had been slain in 1093.

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  • The confused reign of Stephen was naturally favourable to the development of Cymric liberty, and with such strong princes as Owen, son of Griffith ap Cynan, heir to the throne of Gwynedd, and with Griffith ap Rhys ruling at Dynevor, the prospects of the Cymry grew brighter.

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  • In 1136 the army of Griffith ap Rhys met with a large English force near Cardigan, composed of the denizens of the South Wales castles and of the hated Flemish colonists, who had been lately planted by Henry I.

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  • The following year (1137) saw the deaths of the two powerful princes, Griffith ap Cynan, " the sovereign and protector and peacemaker of all Wales," and Griffith ap Rhys, " the light and the strength and the gentleness of the men of the south."

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  • peace was made with Owen of Gwynedd, the successor of Griffith ap Cynan, and with Rhys ap Griffith of South Wales.

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  • He led an army into the heart of Wales to punish the raids of King Griffith ap Llewelyn, and harried the Welsh so bitterly that they put their leader to death, and renewed their homage to the English crown (1063).

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  • Quintessence thrums within him [Uath ap Draen] Úath steps back, slightly.

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  • AP: There was a very big demand for your sampler albums sold via your website.

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  • Weisz said she 's particularly fond of perfumes with a sandalwood base, according to AP.

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  • Smirking, he leaned his ear to the east window and promptly heard a grim and sonorous voice announce: Sion ap Robert !

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  • Ms. Rowe reminds her AP class everyday that conceit comes before a fall.

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  • They offer four learning communities, honors courses and Advance Placement (AP) for students in the 11th or 12th grades.

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  • According to the AP, the two women, who are famous for being famous, have agreed to put aside their differences to hang out on a deserted island with a bunch of survivalists.

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  • These exams include UExcel Exams, IT Certification Exams, AP Exams, and CLEP Exams.

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  • Many thanks to AP for donating 4 of these great wines (noted above with **) that were a real treat to taste.

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  • The AP Mobile application is great for all the latest news from the Associated Press.

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  • Allergic purpura (AP), a form of vasculitis (inflammation of the blood vessels), is a disease characterized by inflammation of the small arterial vessels (capillaries) in the skin, kidneys, and intestinal tract.

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  • AP may occur suddenly, or it may develop slowly over a period of weeks.

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  • The skin rash is the most obvious symptom of AP but is not the most serious, for the joints, gastrointestinal tract, and kidneys may also be affected.

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  • Joint inflammation (arthritis), especially of the knees and ankles, occurs in two-thirds of the children affected by AP.

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  • Most children with AP experience severe abdominal pain, vomiting (possibly with blood), and bloody stools.

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  • The most serious complication of AP is kidney inflammation (nephritis), which occurs in almost half of older affected children.

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  • Children younger than three years who contract AP have a shorter, milder course of the disease with fewer recurrences.

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  • AP is also called Henoch-Schonlein purpura, named after the two German physicians who first recognized and described it in the 1880s.

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  • AP is also referred to as anaphylactoid purpura or vascular purpura.

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  • AP is the most common acute vasculitis affecting children.

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  • In the United States, the prevalence of AP is approximately 14 to 15 cases per 100,000 population.

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  • AP is rare in infants and younger children.

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  • AP is caused by reactions of antibodies binding with foreign proteins, called antigens.

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  • The source of the antigens that cause AP is unknown.

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  • AP may also be caused by allergens, which are otherwise harmless substances that stimulate an immune reaction.

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  • Drug allergens that may cause AP include penicillin, ampicillin, erythromycin, and quinine.

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  • Vaccines possibly linked to AP include those for typhoid, measles, cholera, and yellow fever.

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  • Food allergens, cold exposure, and insect bites have also been associated with AP.

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  • The onset of AP may be preceded by a headache, fever, and loss of appetite.

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  • Abdominal pain occurs in almost all children with AP, along with blood in the stools.

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  • Diagnosis of AP is based on the symptoms and their development, a careful medical history, and blood and urine tests.

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  • A doctor should be consulted if a child exhibits symptoms of AP.

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  • Most cases of AP resolve completely without treatment.

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  • A child with AP should be monitored until abnormal urinary findings subside.

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  • AP may be mild, lasting only two or three days.

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  • If the initiating trigger for a case of AP is identified in an affected child, everything possible should be done to ensure that the child is not exposed to that substance again.

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  • Parents should be vigilant regarding recurrence of symptoms after their child has had AP.

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  • A so-called "acellular pertussis" vaccine (aP) is usually used since its release in the mid-1990s.

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  • Another thing to look at if you want to save money on college costs is using AP courses and CLEP exams as both a way to get in high school core requirements while earning college credits through the exams.

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  • Find out which, if any CLEP and AP credits the university accepts and work on those first.

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  • CLEP and AP: One of the biggest advantages of homeschooling through high school is the ability to work on dual credits.

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  • CLEP exams and AP classes and tests are accepted by many universities for credits.

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  • This exercise is important for students taking the AP English course and those interested in a Literature Major.

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  • If you're interested in newspaper article writing as part of your freelancing career, you'll want to make sure you are proficient in the basics of AP style.

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  • The Associated Press Stylebook and Briefing on Media Law, also referred to as the AP Stylebook, is a guide that is published each June.

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  • The AP Stylebook is considered the newspaper industry standard, but it is widely used in public relations and broadcasting as well.

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  • John Van Metre, an Indian trader, penetrated into the northern portion in 1725, and Morgan ap Morgan, a Welshman, built a cabin in the present Berkeley county in 1727.

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  • Seized by the invaders, castle and town were later retaken in 1231 by Prince Llewelyn ap Iorwerth, who burned the fortress and slew its garrison.

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  • Ptolemy Euergetes (247-222 B.C.) rendered the greatest service to geography by the protection and encouragement of Eratosthenes, whose labours gave the first ap proximate knowledge of the true size of the spherical The .

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  • Later writers add nothing to our knowledge, and are chiefly interested in the tarandus, an animal which dwelt in the woods of the Budini and seems to have been the reindeer (Aristotle ap. Aelian, Hist.

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  • ': opal e ° °o T A R ple ' ag a ',ap iJ,wl Karkinit A C K r B L Scale, English Miles D S E A 32 Stavropol P O L A PI A N L A s E Derbent ° I?

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