# Uo sentence example

uo

- 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.).
- uo; 4, 1=0=f.; where u 0 =1, u1=o, assume that tfik = (af) k ay -k = f.
- u n since, as we have seen uo =I, u 1 =o.
- To exhibit any covariant as a function of uo, ul, a n = (aiy1+a2y2) n and transform it by the substitution fi y 1+f2 y where f l = aay 1, f2 = a2ay -1, x y - x y = X x thence f .
- Peligot's results, though called in question by Berzelius, have been amply confirmed by all subsequent investigators; only now, on theoretical grounds, first set forth by Mendeleeff, we double Peligot's atomic weight, so that U now signifies 240 parts of uranium, while UO 3 stands as the formula of the yellow oxide, and UO 2 as that of Berzelius's metal.Advertisement
- Uranous Compounds.-Uranium dioxide, UO 2 (Berzelius's metal), is a brown to copper-coloured powder, obtained by heating U308 or uranyl oxalate in hydrogen.
- Uranyl or Uranic Compounds.-Uranic oxide, UO 3 „or UO 2.
- Uranyl chloride, UO 2 C1 2, is a yellow crystalline mass formed when chlorine is passed over uranium dioxide at a red heat.
- Uranyl sulphide, UO 2 S, is a black precipitate obtained by adding ammonium sulphide to a uranyl solution.
- Solutions of uranyl salts (nitrate, &c.) behave to reagents as follows: sulphuretted hydrogen produces green uranous salt with precipitation of sulphur; sulphide of ammonium in neutral solutions gives a black precipitate of UO 2 S, which settles slowly and, while being washed in the filter, breaks up partially into hydrated UO 2 an sulphur; ammonia gives a yellow precipitate of uranate of ammonia, characteristically soluble in hot carbonate of ammonia solution; prussiate of potash gives a brown precipitate which in appearance is not unlike the precipitate produced by the same reagent in cupric salts.Advertisement
- The data are then either the bounding ordinates uo, ui, ...
- If the planes of one set divide it into m slabs of thickness h, and those of the other into n slabs of thickness k, so that H =mh, K = nk, then the values of x and of y for any ordinate may be denoted by xo+Oh and yo+Ok, and the length of the ordinate by uo, 0.
- uo,o, uo,l,.
- uo, i, uo, i,
- u_ 2, u_ l, uo, u 1Advertisement
- (b) - 49(a), where 4)(x) is any function of x, by [c P(x)]; the area of the trapezette whose bounding ordinates are uo and u m may then be denoted by [Ax.
- The trapezette is then a right trapezium, and its area, if m=l, is 2h(uo + ui) or hug.
- If we take these to be uo and u 2, and u 1, so that m = 2, we have area = 6H(uo + 4u1 + u2) = 'h(uo + 4 u 1 + 142).
- If instead of uo, u 1, and u 2, we have four ordinates uo, ul, u2, and u 3, so that m = 3, it can be shown that area = 8h(uo + 3/41 + 3u2 - Fu3).
- Denoting the areas of the three strips by A, B, and C, and introducing the middle ordinate ug, we can express A + B; B -{- C; A + B -FC; and B in terms of uo, u 1, u 2; u 1, u2, u3; uo, u, u 3; and u 1, ug, u 2 respectively.Advertisement
- (ii) If m is odd, the given ordinates are uo, ...
- and of uo, u1,..
- The formula, in the above case, is 3h{ *k(uo,o + 3 where u 0, 0 denotes the ordinate for which x=xo+Oh, y=yo+c¢k The result is the same as if we multiplied lk(vo 3v1+3v2 + v 3) by lh(uo 4u1 +u2), and then replaced uovo, uov1, ..
- by uo,o, uo,i ..
- The multiplication is shown in the adjoining diagram; the factors s ands are kept outside, so that the sum uo,o+3uo,1+ ...Advertisement
- The above is a particular case of a general principle that the obtaining of an expression such as Ih(uo+4u1+u2) or lk(vo-1-3v 1 +3v 2 +v 3) is an operation performed on uo or vo, and that this operation is the suns of a number of operations such as that which obtains 3huo or 1kvo.
- If the data are uo, u 1,.
- Applying Simpson's formula to each of these, we have A -__9= *h(uo + 4 14 1 + u2) + 3 h (14 2 + 4u3 + u4) + ..
- O16u3) If we replace 440136u3 in this expression by g405 6 u 3, the method of § 68 gives A -Q AIL h (uo + 5 u 1 + u2 + 6u3 + u4 + 5 14 6 + us); the expression on the right-hand side being an approximate expression for B, and differing from it only by s1eH5 6 u 3.
- The expression for A can be written in the form h(2 uo + ul+ u2 + u3 +Advertisement
- 2um) Now, if p is any factor of m, there is a series of equidistant ordinates uo, up, 142p, um - p, um; and the chordal area as determined by these ordinates is ph (2uo + up + u2p +.
- Hence, if the angle which the tangent at the extremity of the ordinate u 0 makes with the axis of x is denoted by fie, we have area from uo to u1= 2h(uo + ui) - -- i i h 2 (tan y l - tan t u 2 = Wu ' + u2) - 1 Tih 2 (tan 4,2 - tan um-1 t0 26 m, - 2 h(um-1 + um) i h (tan 4, m - and thence, by summation, A =C I - i i h 2 (tan - tan 1,1/o).
- 76 If we know not only the ordinates uo, ul,.
- To find the pth moment, when uo, u l, u 2, ...
- are given, we have only to find the area of a trapezette whose ordinates are xo P uo, x 1 'u 1, x2 P u2,Advertisement
- A m _ I of the strips bounded by the consecutive ordinates uo, 72 1, ...
- have the usual meaning (Duo = u l - uo, L 2 uo = Du 1 - Auo, .
- The calculation of the expressions in brackets may be simplified by taking the pairs in terms from the outside; by finding the successive differences of uo + um, ill + um_l, ..., or of uI u i +umi, ..
- u m _, we know uo and um; and u I - uo and u m - u m _ i are taken to be equal to zhu'o and Zhu'„, respectively.
- Newton found 979 ft./sec. But, as we shall see, all the determinations give a value of Uo in the neighbourhood of 33, 000 cm./sec., or about 1080 ft./sec. This discrepancy e was not explained till 1816, when Laplace (Ann.Advertisement
- At 0° C.: we have Uo =1/ (yk), and hence U t = Uolt (I +at) =U 0 (I+-o o0184t) (for small values of t).
- If U (yP/po) is the velocity for small disturbances, we may put Uo for U in the small term on the right, and we have y I u U =Uo I + 4 (Jo or U = Uo+4 (y-}- I) u.
- The theoretical investigation given above shows that if U is the velocity in air at 1° C. then the velocity U ° at o° C. in the same air is independent of the barometric pressure and that Uo = U /(1 +o o01841), whence U 0 =332 met./sec.
- Uo =331 To met./sec.
- At present we cannot assign a more exact value than Uo = 331 metres per second.Advertisement
- Now calculate the pseudo-velocity uo from =v 95 cos 4) sec n, and then, from the given values of 0 and 8, calculate u e from either of the formulae of (72) or (73): (82) I (u 9) - I (u0) tan 0 - tan 8 C sec n (83) D(ue) =D (uq5) 4)°-B° cos n' Then with the suffix notation to denote the beginning and end of the arc 0-0, mt e = C[Tum) - T (u0)], 5 ((x x9 1l 0.
- des Iles ioniennes (Zante, 1815-1864); Mardo, Saggio di una descrizione geografico-storica delle Isole (Corfu, 1865) (mainly geographical); De Bosset, Description des monnaies d'Ithaque et de Cephalonie (London, 1815); Postolakas, KaTaXoyos aoxaLWv vo i uo - p.iLrow vT] K pkvpas, A€vKQSOS, &c. (Athens, 1868); Wiebel, Die Inset Kephalonia and die Meerm g ihlen von Argostoli (Hamburg, 1873); Tsitselis, FAWVQapiov KE4aXAnvias, (Athens, 1876); 'Ovo,ccara B VEWv Ev KE4aXA7v1a in the "Parnassus" i.
- g ot ?,neJWootton ddesddn?.J Stroud ° / t '1' - Tl?amesHea t o ny ?, 1'i, B;y uo nor?f y hO j tsw
- 0 short is never diphthongized into uo or ue; such a treatment is as foreign to Catalan as the diphthongization of into ie.
- It is traversed by more or less prominent parallel a ??? ?uo?>0????,(f, UU?(J J??? ?D ????Advertisement
- Change of temperature usually suffices to determine this, though in certain cases a variation in pressure is necessary; for instance, sodium magnesium uranyl acetate, NaMg(UO 2) 3 (C 2 H 3 O 2) 9.9H 2 O shows no change in density unless the observations are conducted under a considerable pressure.
- At 0Ã‚° C.: we have Uo =1/ (yk), and hence U t = Uolt (I +at) =U 0 (I+-o o0184t) (for small values of t).
- The theoretical investigation given above shows that if U is the velocity in air at 1Ã‚° C. then the velocity U Ã‚° at oÃ‚° C. in the same air is independent of the barometric pressure and that Uo = U /(1 +o o01841), whence U 0 =332 met./sec.
- Now calculate the pseudo-velocity uo from =v 95 cos 4) sec n, and then, from the given values of 0 and 8, calculate u e from either of the formulae of (72) or (73): (82) I (u 9) - I (u0) tan 0 - tan 8 C sec n (83) D(ue) =D (uq5) 4)Ã‚°-BÃ‚° cos n' Then with the suffix notation to denote the beginning and end of the arc 0-0, mt e = C[Tum) - T (u0)], 5 ((x x9 1l 0.
- g ot ?,neJWootton ddesddn?.J Stroud Ã‚° / t '1' - Tl?amesHea t o ny ?, 1'i, B;y uo nor?f y hO j tsw
- It diphthongizes i in fe, in ue, which may be regarded as a weakening of uo (seeRomania, iv.
- Voweis.Lat., 0 with the accent have not been diphthongized into ie, uo, ue: pi (pede m), dez (decem), born (bomfu s), pode (p 0 t e t).
- Majestic and UO are both long dead, EA.COM became the less ambitious Pogo, and EA let go of much of the talent they recruited for EA.COM.