Aa sentence example

aa
  • The southeastern corner of the province is traversed by the Westerwolde Aa, which discharges into the Dollart.
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  • +na n _ i aa n = 0.
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  • By March 18 the Bolsheviks were thrown back over the Aa river.
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  • If a rectangle be constructed about AA' and BB', the diagonals of this figure are the "asymptotes" of the curve; they are the tangents from the centre, and hence touch the curve at infinity.
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  • In some old roofs the rafters are connected without any intervening ridge-plate, with the result that after Sectional elevation on AA.
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  • Such an expression as a l b 2 -a 2 b i, which is aa 2 ab 2 aa x 2 2 ax1' is usually written (ab) for brevity; in the same notation the determinant, whose rows are a l, a 2, a3; b2, b 2, b 3; c 1, c 2, c 3 respectively, is written (abc) and so on.
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  • To apply the method to the calculation of N n, it is necessary that we should be able to express N in the form A+a or Aa, where a is small in comparison with A, A" is easy to calculate and a/A is convenient as a multiplier.
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  • Each symbol a is associated with its supplement a which satisfies the equivalences a+a = i, aa = o, the latter of which means that a and a have no region in common.
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  • A point A in space may be associated with a (real, positive, or negative) numerical quantity a, called its weight, and denoted by the symbol aA.
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  • X is, in general, a determinate point, the barycentre of aA, 3B, &c. (or of A, B, &c. for the weights a, 0, &c.).
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  • +X) happens to be zero, X lies at infinity in a determinate direction; unless - aA is the barycentre of (3B, yC, ...
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  • The brightness (corresponding to B) midway between the two central points AA' is 8106 of the brightness at the central points themselves.
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  • If A' be the area over which the intensity must be Io in order to give the actual total intensity in accordance with A'102 =ff + 12d4dn, the relation between A and A' is AA' = X 2 f 2 .
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  • The position of Q corresponding to a given value of V, that is, to a band of given order, is by (19) BQ= aa b AD=V?
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  • The harbour is connected by canals with the river Aa and the navigable waterways of the department.
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  • The classification of the different kinds of coal may be considered from various points of view, such as their chemical composition, their behaviour when subjected to heat aa s sifica= or when burnt, and their geological position and iron.
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  • (iii) Take any straight line intersecting or not intersecting the figure, and draw perpendiculars Aa, Bb, Cc, Dd,.
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  • Its surface is diversified by several plateaus, those of Haanhof and of the Livonian Aa having an average elevation of 400 to 700 ft., while several summits reach Boo to loon ft.
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  • The edges of the plateaus are gapped by deep valleys; the hilly tract between the Dvina and its tributary the Livonian Aa has received, from its picturesque narrow valleys, thick forests and numerous lakes, the name of "Livonian Switzerland."
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  • Live-stock and dairy products are important factors in the T C t o L %i, aa.
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  • 374: "AA represents a small scale.
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  • 4, when it ought properly to sink almost to the top of the stem, the surface tension of the water around the circumference of the circle of contact, AA', providing the additional support required.
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  • The three chief rivers of the province are the Elbe in the north-east, where it mainly forms the boundary and receives the navigable tributaries Jeetze, Ilmenau, Seve, Este, Luhe, Schwinge and Medem; the Weser in the centre, with its important tributary the Aller (navigable from Celle downwards); and in the west the Ems, with its tributaries the Aa and the Leda.
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  • The surface of the upper slopes of Mauna Loa is almost wholly of two widely different kinds of barren lava-flows, called by the Hawaiians the pahoehoe and the aa.
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  • The aa is lava broken into fragments having sharp and jagged edges.
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  • As the same stream sometimes changes abruptly from one kind to the other, the two kinds must be due to different conditions affecting the flow, and among the conditions which may cause a stream to break up into the aa have been mentioned the greater depth of the stream, a sluggish current, impediments in its course just as it is granulating, and, what is more probable, subterranean moisture which causes it to cool from below upward instead of from above downward as in the pahoehoe.
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  • By the decree of the council of Trent he must be thirty Rom aa Y S' Cat h olic. years of age, of legitimate birth, and of approved learning and virtue.
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  • The passage in Revelation runs: "Behold the tabernacle (o-Knvn) of God is with men, and He will tabernacle (vKnvc aa) with them."
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  • The Aa church dates from 1465, but was founded in 1253.
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  • The Maas, whose course is almost parallel to that of the Rhine, follows in a wide curve the general slope of the country, receiving the Roer, the Mark and the Aa.
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  • If, ignoring temporarily and for simplicity the fact that part of the carbon may exist in the state of graphite, we consider the behaviour of iron in cooling from the molten state, AB and BC give the temperature at which, for any given percentage of carbon, solidification begins, and Aa, aB, and Bc that at which it ends.
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  • When the gradually falling temperature reaches 1430° (q), the mass begins to freeze as -y-iron or austenite, called " primary " to distinguish it from that which forms part of the eutectic. But the freezing, instead of completing itself at a fixed temperature as that of pure water does, continues until the temperature sinks to r on the line Aa.
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  • As freezing progresses, at each successive temperature reached the frozen austenite has the carbon-content of the point on Aa which that temperature abscissa cuts, and the still molten part or " mother-metal " has the carbon-content horizontally opposite this on the line AB.
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  • In other words, the composition of the frozen part and that of the mother-metal respectively are p and q at the beginning of the freezing, and r and t' at the end; and during freezing they slide along Aa and AB from p to r and from q to t'.
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  • That removal progressively raises the melting-point of the metal, after line Aa of fig.
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  • 35, or by passing the piece through an aperture, F', smaller than the first F, as in case of the grooved rolls, AA, shown at the right, or by both means jointly.
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  • The Steenwyker Aa, however, enters the Zuider Zee independently.
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  • The Aµ from C to F being taken as unity in each case then the AA's for the other regions of the spectrum are expressed in fractions A A (C to F) and are given under the asterisks.
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  • In Germany there are the Westphalian Aa, rising in the Teutoburger Wald, and joining the Werre at Herford, the Munster Aa, a tributary of the Ems, and others.
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  • Let AB be the shortest distance between the lines of action, and let AA, BB
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  • C Let a, ~ be the angles which AA, BB make with the direction of the vector-sum, on opposite sides.
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  • Resolving AA,
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  • It is evident, in the first place, that in any displacement common to the two surfaces, the work of the two equal and opposite normal pressures will cancel; moreover if, one of the surfaces being fixed, an infinitely small displacement shifts the point of contact from A to B, and if A be the new position of that point of the sliding body which was at A, the pro jectior of AA on the normal at A is of the second order.
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  • If we imagine a point Q to describe a circle of radius a _________________ with the angular velocity ~, its A - 0 P orthogonal projection P on a fixed diameter AA will execute a vibration of this character.
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  • If 0 is constant the points C, A will in time at come to positions C, A such that CC = sin 0 i~, AA = cos 0 ~, and the angular momentum about OB will become Cn sin 0 ~ A sin 0 ~.
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  • Let the centre of R C pressure C at the first joint aa be known, and also the b a pressure P acting at C in C,
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  • The terrible power of excommunication is claimed for the church; but the council of the realm also is called to use the power given them by God to put down all religion but the reformed, and to further the aims and carry out the sentences AA.
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  • This film, however, tends to contract on itself, and the loose strip of metal BB will, if it is let go, be drawn up towards AA, provided it is sufficiently light and smooth.
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  • Hence if F is the force by which the slip BB is pulled towards AA, F =d b T ab =Ta,..
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  • Other c= 1 Aa c>a FIG.
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  • Courland is drained by nearly one hundred rivers, of which only three, the Dvina, the Aa and the Windau, are navigable.
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  • In Aristotle, again, the principle which sets all nature under the rule of thought, and directs it towards a rational end, is vows, or the divine spirit itself; while Aoyos is a term with many senses, used as more or less identical with a number of phrases, ou €v€Ka, ivEpyaaa, ivr€X aa, ovwia, e hos, popcIA, &c.
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  • The mean sea-level is shown by the horizontal line aa, dotted where it passes through the land, and the natural mean level of saturation bb, above the sea-level, by a curved dot and dash line.
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  • These fissures are in vertical planes stretching entirely across the puddle trench, and reaching in one case, aa, nearly to the highest level at which the reservoir had been worked for seventeen years after the leakage had been discovered.
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  • If a line S2 cut an arc aa at b, so that the two segments ab, ba lie on opposite sides of the line, then projecting the figure so that the line Sl goes off to infinity, the tangent at b is projected into the asymptote, and the arc ab is projected into a hyperbolic leg touching the asymptote at one extremity; the arc ba will at the same time be projected into a hyperbolic leg touching the same asymptote at the other extremity (and on the opposite side), but so that the two hyperbolic legs may or may not belong to one and the same branch.
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  • Next, if the line S2 touch at b the arc aa so that the two portions ab, ba lie on the same side of the line Sl, then projecting the figure as before, the tangent at b, that is, the line S2 itself, is projected to infinity; the arc ab is projected into a parabolic leg, and at the same time the arc ba is projected into a parabolic leg, having at infinity the same direction as the other leg, but so that the two legs may or may not belong to the same branch.
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  • It is obvious that the curve is symmetrical about AA'.
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  • If AA' be bisected at C, and the line BCB' be drawn perpendicular to AA', then it is readily seen that the curve is symmetrical about this line also; since if we take S' on AA' so that S'A' =SA, and a.
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  • (a) Let AA', BB' be the axes intersecting at right angles in a point C. Take a strip of paper or rule and mark off from a point P, distances Pa and Pb equal respectively to CA and CB.
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  • (b) Let AA', BB' be the axes as before; describe on each as diameter a circle.
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  • Let AA' be the axis and S, S' the foci.
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  • Take a piece of thread of length AA', and fix it at its extremities by means of pins at the foci.
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  • (4) If the axes be given, the curve can be approximately constructed by circular arcs in the following manner: - Let AA', BB' be the axes; determine D the intersection of lines through B and A parallel to the major and minor axes respectively.
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  • The AA is proud to have the benefit of an active and participatory democracy.
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  • I have aa 4-year degree in business and am a real estate investor.
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  • The third match, where a* matches aa, is interesting.
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  • Escape it the tote system or get a including the aa.
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  • Much less than least aa by is necessary or.
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  • As I said in my first post I'm really just looking for deals on bulk purchase of high mha aa and aaa batteries.
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  • Ay, it's spring again, WI aa the twists an turns that Mother Nature can throw at's.
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  • I hae the answer tae aa oor problems. ' ' Whit dae ye mean?
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  • The world o aa the senses is the same.
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  • Fit ill is there in a bawd, efter aa?
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  • Armament: Four 5.5 -inch guns Three 3.1 inch aa guns and Six 21 - inch torpedo tubes in three carrying 12 Torpedos.
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  • We war treated tae " Scots Wha Hae " an " A Man's a Man fur aa That " .
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  • Membership is open to all clubs affiliated to the South of England AA.
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  • Richard Archibald from Ballymoney Gled tae finally hear fae sae many Scotch folk that're aa fired up aboot thair ain leid.
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  • The shared experiences of active alcoholism at AA meetings make up a bond among all members of Alcoholics Anonymous.
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  • Map Map of Sicily, Italy [Based on AA Europe road Atlas, 1997] .
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  • By the time he got a call from an old drinking buddy in 1934, Wilson had, in AA parlance, hit bottom.
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  • An additional service that came into effect in 2002 involved hourly traffic bulletins with AA Roadwatch.
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  • The diagnosis of amyloidosis is histological, ie proof of AA amyloid deposition in biopsy material.
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  • The AA also provides a booklet for disabled drivers traveling in Europe, which is quite useful.
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  • Aa wad be laith ti gan win him - wouldn't go with him.
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  • The company built a grandstand to seat 700, along with aa elliptical cycling track.
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  • The third, and most interesting, group are those who are rescued by AA, going on to become paragons of sobriety.
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  • I checked last night on the AA site using their route planner to double check on our route over.
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  • As part of the campaign, the AA is trialing the distribution of high visibility, waterproof yellow ponchos among new and existing members.
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  • But he did not interview the alleged rapist - referred to as AA - or Prince Charles about the allegations.
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  • Many have spoken about how AA saved their lives since most people come to the organization when they have reached rock bottom.
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  • Results indicated a marginally significant difference in mathematics self-concept between the MD and AA groups but no difference between the AA and HA groups.
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  • It holds up to four AA and two AAA batteries, and even allows simultaneous charging of the two types.
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  • He does he contain AA batteries Ages 8 and he does he arrive skein in china.
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  • They are all new and boxed Grade " AA " solid spruce top Flame Maple Back and Sides Rosewood fingerboard with 20 frets.
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  • All Rights Reserved | Crown Copyright This site has been built to comply with the W3C AA accessibility standards.
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  • 12-step fellowships borne out of Alcoholics Anonymous (AA ).
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  • Between the valleys of the Aa and the Maas lies the long stretch of heavy high-fen called the Peel ("marshy land").
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  • The niche at the entrance, which is rarely wanting, served, no doubt, for the sentry on guard AA FIG.
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  • Some properties of the curve will be briefly stated: If PN be the ordinate of the point P on the curve, AA' the vertices, X the meet of the directrix and axis and C the centre, then PN 2: AN.NA':: SX 2: AX.A'X, PN 2 is to AN.NA' in a constant ratio.
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  • The circle on AA' as diameter is called the auxiliarly circle; obviously AN.NA' equals the square of the tangent to this circle from N, and hence the ratio of PN to the tangent to the auxiliarly circle from N equals the ratio of the conjugate axis to the transverse.
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  • 'S Hertogenbosch ('sBosch, or den Bosch, French Bois-leDuc), the capital of the province of North Brabant, Holland, at the confluence of the rivers Dommel and Aa, which unite to form the Dieze, and a junction station 292 m.
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  • A 1, A2 � 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) (al�l +a2�2) = aAa�, A 2 = (al�l +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 � = a1/�1 + a21=2 respectively.
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  • Operation upon J results as follows D AA J = wJ; D A J=0; D �A J =0;D �� J = wJ.
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  • If 0 be the degree of an invariant j - aj aj a; oj =a ° a a o +al aa l +...
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  • +anaan naj n.-1 aj naj =a l aa ° +a 1 a2c3a1...+a2aan and, herein transforming from a to x, we obtain the first evectant (-) k, x1x2 aak k Combinants.
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  • The natives are in the habit of making holes in the aa, and planting in them banana shoots or sweet-potato cuttings, and though the holes are simply filled with stones or fern leaves, the plants grow and in due time are productive.
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  • When the gradually falling temperature reaches 1430° (q), the mass begins to freeze as -y-iron or austenite, called " primary " to distinguish it from that which forms part of the eutectic. But the freezing, instead of completing itself at a fixed temperature as that of pure water does, continues until the temperature sinks to r on the line Aa.
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  • Thus miserably fell the monarchy of the Pharaohs, after aa unexampled duration of 3000 years, or as some think far longer.
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  • The equations to the tangent and normal at the point x' y are yy' = 2a(x+x) and aa(y - y')+y'(x - x')=o, and may be obtained by general methods (see Geometry, Analytical, and Infinitesimal Calculus).
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  • The right-hand expression is six times the volume of the tetrahedron of which the lines AA, BB representihg the forces are opposite edges; and we infer that, in whatever way the wrench be resolved into two forces, the volume of this tetrahedron is invariable.
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  • Quote: July 10, 2005 Sunday Times AA Gill So there 's this right whale killed off Iceland, by accident.
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  • Begin your gourmet getaway at The Falcon Hotel, Castle Ashby, a relaxing 16th Century Inn with an award winning AA rosette restaurant.
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  • The relaxed atmosphere in our AA rosette award winning restaurant adds to the enjoyment of any occasion.
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  • With two AA rosettes for exceptional cuisine, guests can enjoy a relaxing stay.
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  • Newquay Charming, friendly AA 2* country house hotel serving award winning AA rosette for good food.
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  • An Aunt was a sergeant in charge of an AA battery....
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  • He does he contain AA batteries were being measured roughly Ages 3 to skein of china.
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  • They incorporate AA or NA into the program, a 12-step program, Davis added.
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  • Many people who have had a drink problem and overcome it have used the AA 's 12-step program.
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  • It is one of the 12-step fellowships borne out of Alcoholics Anonymous (AA).
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  • Power is supplied from four AA batteries in a box at the rear of the webbing harness.
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  • If you choose a calculator that operates with double AA batteries, buy a power transformer that to plug into it.
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  • The downside is that the screen isn't lit and the system requires 2 AA batteries for power.
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  • These gadgets are also good on battery use, and can last over 30 hours with just one AA.
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  • Actually going to the store is better than shopping online because it gives you aa chance to try out the radios.
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  • Academy of Art University: If you're contemplating a serious pursuit of photography, Academy of Art University offers online AA, BFA and MFA degrees, classes, and certificates.
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  • If the difference is less than one inch, you need a AA cup.
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  • In AA, groups of people with similar problems get together to counsel and help each other through recovery.
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  • In that day, Women in AA were rare and there wasn't much knowledge about alcoholism.
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  • I am going to take the liberty of using phrases, slogans and other statements I have heard through friends, at AA meetings and other venues.
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  • Also I would like to stress that the opinions I express here are mine alone and do not necessary reflect the philosophy of others or AA.
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  • It was strongly suggested that I go upstairs at 7 a.m. for the early AA meeting and for some reason I complied.
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  • I also was in a group of 20-25 fairly new AA members and we hung on to each other for dear life.
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  • I had to deal with my past history, understand AA and it's members better, work through the steps with my sponsor and become a responsible and accountable member of the community.
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  • I help newcomers, friends, families, and occasionally speak at AA meetings.
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  • I signed up to lecture for a year about my story to a social studies graduate class at a local college and I'm an AA contact for aftercare facilities.
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  • I have literally dozens of AA friends and almost everything I do socially is with them.
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  • I am in constant contact with AA members.
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  • When there is silence in a AA meeting it drives me up a tree.
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  • On a daily basis I try to carry this message to alcoholics and to practice AA principles in all my affairs, obviously not to perfection.
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  • I believe that the second I step out of my door or out of an AA meeting, it is my personal responsibility to represent AA in the best light possible.
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  • There is not a billboard on my lawn or a sign on my car, but when I run into someone I want them to take notice on how well AA has worked in my life and to see the changes that have taken place.
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  • Alcoholics Anonymous: AA meetings provide group support.
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  • They can also suggest additional detox treatment programs or AA meetings.
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  • From doctors and treatment programs, self-help tests, medication, counseling and AA support groups, alcoholics have many different ways to attack the problem of addiction.
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  • The aftercare part of the treatment program may involve continuing counseling sessions, along with AA meetings.
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  • Alcoholics Anonymous (AA) is a support group for men and women who want to stop drinking.
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  • Members of AA come from all walks of life and meet with one another in the effort to get and stay sober.
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  • You will never be forced to speak during an AA meeting, nor will you be harshly judged in any way for words spoken or unspoken.
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  • The heart of the AA recovery program is the 12 Step Method.
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  • Those who aren't interested in physical meetings can also participate in AA meetings online.
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  • The AA Fellowship is currently made up of more than 2,000,000 members who at one point drank in excess and have since taken steps to find a way to live their lives without alcohol.
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  • It should be noted that this directory is only available to official AA members.
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  • It should also be noted that you do not have to be a member of AA to attend an AA meeting; a certain number of meetings are open to non-members and their families while others are for members only.
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  • Community: Members may share in group meetings, such as AA (Alcoholics Anonymous), and build friendships.
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  • Ramsay Way, STE 112, Kent, WA 98032 (253) 856-9595Located in the middle of the city, the Kent Campus is ideal for AA degree students who are seeking flexible course schedules, small class sizes, and easy access to transportation.
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  • Batteries - Depending upon the collar you select, batteries can vary from small watch batteries to AA batteries.
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  • They do require five AA batteries to operate, so stock up if you purchase these goggles.
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  • These goggles work with five AA batteries and come with an adjustable head strap so that they'll fit most people.
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  • In the section where you select a quantity and add your goggles to the cart, you can choose to add two packs of four AA batteries while you're at it.
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  • You also get 4 AA batteries to put into the board.
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  • Powered by two AA batteries for 15-30 hours of use.
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  • Previous Game Boy systems used two (or more) AA batteries for power.
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  • The very first Game Boy was released in Japan the spring of 1989, powered by 4 AA batteries (Nintendo also sold external rechargeable battery packs).
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  • The Game Gear required 6 AA batteries (compared to the 4 needed by the Game Boy), and could only be used for 5 hours on a single set of batteries.
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  • Since its inception in the 1930s, Alcoholics Anonymous (AA) has been an important non-medical means of treating alcoholism with millions of members worldwide, many of whom are teenagers.
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  • The prognosis is excellent for young alcoholics who remain alcohol-free and who do not substitute other drugs for alcohol, sometimes called "chewing their booze" in AA.
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  • This program was begun in the early 1940s by the wives of some of AA's earliest members and founders, including Lois Wilson, wife of AA founder Bill Wilson.
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  • These programs are spiritual but not religious and are based on the twelve steps that are the basis of Alcoholics Anonymous (AA).
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  • Programs include AA, Narcotics Anonymous (NA), Al-Anon, Adult Children of Alcoholics (ACOA), Alateen, and Co-Dependence Anonymous (CODA).
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  • They take two AA batteries, which are included in the packaging.
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  • This toy takes two AA batteries, sold separately.
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  • This wand takes two AA batteries, which are not included.
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  • You will need to provide two AA batteries in order to power the motor.
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  • She comes with a t-shirt, two diapers, two juice mix packets and the rattle, as well as four AA batteries.
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  • To power all of this action, she takes four AA batteries, which are included in her box.
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  • Most Norelco shaver batteries are the size of AA batteries.
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  • Basically, they are Nickel-Cadmium AA batteries with an average 600 to 1500 mAH capacity, which designates how long a charge the batteries can hold when not plugged directly into a power source.
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  • Some older shavers used regular AA batteries, which don't last very long, especially if you have once every day or every few days.
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  • If you do have an older shave that uses AA batteries, consider replacing them with standard AA rechargeable batteries.
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  • You can purchase rechargeable batteries for multiple uses such as "AA" or "AAA" size batteries to use in digital cameras, remote controls or any other appliance that takes a standard battery size.
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  • These chargers typically hold two to eight batteries at a time and fit a specific size of battery, such as a "AA."
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  • These units charge either "AA" or "AAA" batteries depending on the size you purchase and can hold up to four batteries at a time.
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  • The electronics manufacture, Panasonic, makes a battery charger that plugs directly in to the wall and can hold two "AA" batteries and four "AAA" batteries simultaneously.
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  • Unfortunately the game does not come with batteries (2 AA), but other than that the game is playable straight from the box.
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  • Instead, it uses two AA batteries (included) to power the small fan, and a single pair of batteries can last up to 75 hours of continual use.
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  • While "AA" batteries are relatively inexpensive, they seem to be drained rather quickly in this toy.
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  • This product needs three "AA" batteries to produce the sound effects and ties in with the Barbie and the Diamond Castle movie.
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  • The receiver is a bit bulky and requires two AA batteries.
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  • The clock runs on two AA batteries, so power failures need not be a concern.
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  • For ultimate ease, this clock requires only a single "AA" alkaline battery to function.
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  • This five-pound printer can be operated with AA batteries or an AC adapter.
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  • Their models are also versatile and can be powered by AA batteries or an AC adapter.
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  • For example, Nintendo WII controllers use double AA sized alkaline batteries for power.
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  • The following measurements are for cup size: ½ inch = AA, 1 inch = A, 2 inches = B, 3 inches = C, 4 inches = D and so on.
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  • Offered in cup sizes A, AA, and B, Olga Petites are designed to support and flatter the smaller bust.
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  • This bra, the Lula Lu Shock Absorber Level 2 Pump Sports Bra ($64) is available in sizes 32A to 36B (the site says their A cup fits AA, too).
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  • All bra cups aren't created the same way, so she may find that she's a size AA in one brand and an A in another.
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  • Aaron Stark is Mark's AA sponsor and a recovering alcoholic.
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  • However, there is something else particular about web-safe colors: all of the values are either 00, 33, 66, 99, AA, CC, or FF.
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  • "Join AA," I answered.
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  • The five fixed webs are attached to the table which is secured to the bottom of the box by the screws p. The three movable webs are attached to the projections XX on the frame aa.
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  • = 0; and such functions satisfy the differential equation aoaa i +2a0a 2 +3a 2 aa 3 +...
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  • = wj, aa 1 aa 2 a a 3 the complete system of equations satisfied by an invariant.
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  • Thus (A +a) 2 = (A +a) (A+a) =A(A+a) +a(A+a)=AA+Aa+aA+aa; and the grouping of the second and third terms as 2Aa involves treating Aa and aA as identical.
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  • (b) In the same way, for the expansion of (Aa)", let o, denote uo-u 1 +.
    1
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  • The minor Aik is aa, and is itself a determinant of order n-t.
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  • - (aa) and then expresses the coefficients, on the right, in terms of the fundamental invariants.
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  • Van der Aa, Biographisch woordenboek der Nederlanden (22 vols., Haarlem, 1852-1878).
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  • The sides of the square are 6 in., and the centres AA are taken at 2 in.
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  • A 1, A2 � 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) (al�l +a2�2) = aAa�, A 2 = (al�l +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 � = a1/�1 + a21=2 respectively.
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  • If 0 be the degree of an invariant j - aj aj a; oj =a ° a a o +al aa l +...
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  • Operation upon J results as follows D AA J = wJ; D A J=0; D �A J =0;D �� J = wJ.
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