## UI Sentence Examples

**Ui**a e ?- The new sultan's reign marked, if not the beginning, at least the high tide Aba-
**ui-Aziz**, o f that course of improvident and unrestrained 1861-1876. - Over a concentric cylinder, external or internal, of radius r=b, 4,'=4,+ Uly =[U I - +
**Ui**]y, (4) and 4" is zero if U 1 /U = (a 2 - b2)/b 2; (5) so that the cylinder may swim for an instant in the liquid without distortion, with this velocity**Ui**; and w in (I) will give the liquid motion in the interspace between the fixed cylinder r =a and the concentric cylinder r=b, moving with velocity U1. - When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2
**Ui**+VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2**Uib**.2bz a2); (20) and over r =b Xi= fp? **Ui**3,.- Or
**ui**,o, a o, - The trapezette is then a right trapezium, and its area, if m=l, is 2h(uo +
**ui**) or hug. - 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). - 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, .. - Comparing the velocities of sound U i and U2 in two different gases with densities and at the same temperature and pressure, and with ratios of specific heats 'yl, 72, theory gives
**Ui**/U2 = 1/ {71 p 2/72 p i }. - 1 ~~J~3 t,/5~fIV-17r1~44-
**UI**LlJJ,I~L1IfLUJllflUIIicc1.u\ vi ~ -R~v~ ~ ~ vs~s ~ ftf#~-f~-U-I LtU LLU LI I.-~-~. - The vowel sounds ai, oi,
**ui**have become e, o, u; and a, o, u before the finals d and n are now et, o, ii. - The positive directions of the axes are assumed to be so arranged that a positive rotation of 90 about Ox would bring Oy into the position of
**UI**, and so on. - Where
**Ui**is the velocity of projection. - If two masses m1, nil moving in the same straight line impinge, with the result that the velocities are changed from u1, u2, to
**ui**,**ui**, then, since the impulses on the two bodies must be equal and opposite, the total momentum is unchanged, i.e. - Uf
**Ui**= (u2 u1), (40) (i.e. - It follows from the formula 15 (10) for the internal kinetic energy of a system of particles that as a result of the impact this energy is diminished by the amount i m1mi 2(1 _ei)m+m(ui_uf)1.
- This new method enabled the printers IIIC3'?
**ui**:"'??N i i !4? ???;h l ' '? ? ? ? ? - Height fall in
**ui**feet. - Brian and Fiachra, sons of Eochaid Muigmed61n, conquered for themselves the country of the
**Ui**Briuin (Roscommon, Leitrim, Cavan) and Tir Fiachrach, the territory of the Firbolg tribe the Fir Domnann in the valley of the Moy (Co. - Somewhat later south Connaught was similarly wrested from the older race and colonized by descendants of Brian and Fiachra, later known as
**Ui**Fiachrach Aidni and**Ui**Briuin Seola. - Military Gate Gate of 3rd.1121ltary Gate t ol '-ynegion ' ':Savrour ' _gala angan'- --ar,
**ui**{hog s protected the city on the west down to the Golden Horn. - The officials charged with the administration of justice according to the shar are judges, called sheik/i-
**ui-islam**and kazi (had/i, kadi or cadi of Arabs and Turks), members of the clergy appointed by the government and receiving a fixed salary, but some cities are without regular appointed judges and the title of cadi is almost obsolete; decisions according to the .char are given by all members of the clergy, ranging from ignorant mullahs of little villages and cantons to learned mujiahids of the great cities.