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1
Hyperspaces: Fundamentals and Recent Advances - Strona 185
Then, by definition, g\g 1(dZ) can be extended to a continuous function G : Y -> dZ. Since Y is contractible with respect to dZ, G is inessential. Hence, by restricting a homotopy that joins G to a constant map, we see that G\g~l(dZ) : g~l(dZ) -> dZ ...
Alejandro Illanes, Sam Nadler, 1999
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Robert Lacoste's The Darker Side: Practical Applications ... - Strona 18
Zin Z in L.dZ C.dZ L.dZ C.dZ L.dZ C.dZ L.dZ C.dZ ... dZ LC Figure 2.1: A transmission line can be modeled as a succession of small L/C networks. the mathematical relationship between the L and C parameters and the characteristic ...
3
Functional Differential Operators and Equations - Strona 302
Then by 5.2.7 D is invertible on Lpq\ and by what has been proved, D~l : Lpq — > Lpo belongs to S2. Consequently D~l : Lpoo — > Lpoo belongs to Sz, too. (b) follows from 5.2.2(b). D 5.2.9. The algebras D, Dz, and D*. Let L be either Lpq ...
Vitaliĭ Gennadʹevich Kurbatov, 1999
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NBER Macroeconomics Annual 1990 - Strona 284
0 = (flz + dz) - f(z)) - (/(z) - f(z - dz)) + tf | [(/(z + dz) - fr)) + (f(z) - f(z - dz))]. Dividing by dz and taking the limit, we find that /(z) is continuously differentiate. ... Hence, M) = 0, and z can reach / not only from / - dz and / + dz, but from L + dz as well.
Olivier Jean Blanchard, Stanley Fischer, 1990
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Fundamentals of Waves and Oscillations - Strona 357
Display. 12.5. Refraction in a vertically stratified medium Wave speed gradient v = v(z) Ray curvature independent of the direction of wave. (Isotropy). (a) dv/dz < 0 Fluid velocity gradient U = (l/,,l/,,0) Ux = u(z) Ray curvature dependent on the ...
6
Differential Equations - Strona 174
2(y + z)(-l-2)-(x + z)(-l-2) + (2y-x + z)(2 + l) = -6y - 6z + 3x + 3z + 6y - 3x + 3z = 0. Here P, Q and R being homogeneous functions of x, y and z of third degree. Now putting x = zu, y = zv so that dx = z du + u dz and dy = z dv + v dz substituting in ...
7
Analytical Methods in Economics - Strona 169
Akira Takayama. dz'Jdy = dX'JOr, = (d\-l/dz.)(dz'Jdr.). Combining this with (61), we obtain for 1 ^ s ^ m dx'/dwi = dx'~l /duli + (dx3~l /dz,)2(dzaJdr,), i = 1, 2, ..., n,. dz'/dr;. = dz'r'/drj. +. (dx'f1. ldz.)\dz'J9r,\. j = 1, 2, .... j - 1, 0A'/3y = OX'-'/dy + (0AJ-1 ...
8
Elements of Noncommutative Geometry - Strona 410
Show that the relations Vf.9^ = -ffa9<*, with (9.47), yield the formulae: ^3i(q-1dz)=zq-1dz, V^(q~ldz) = -zq-1 dz, V^ (q~ldz) = -zq~ldz, V^ (q~ldz) = zq'1 dz. (9.48) Find the corresponding relations for Vg_(q'~ld(} and V0(q'~ld%) contracted with the ...
José M. Gracia-Bondia, Joseph C. Varilly, Hector Figueroa, 2001
9
Symplectic 4-Manifolds and Algebraic Surfaces: Lectures ...
Since we have / \Dfi\l dz<e, by taking a subsequence if necessary, we may assume that fi converge to a □7-holomorphic map f, from (J • S^j M . By Proposition 7.3, extends to a Holder continuous J-holomorphic map from S^ into M. There is ...
Denis Auroux, Fabrizio Catanese, Gang Tian, 2008
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Dynamics and Control of Process Systems 2004 - Strona 716
The scheme utilized to represent the tubular reactor is displayed in Figure 1 . Fluid Phase: Mass balance of reactant A in the gas phase: * , » i) a ,(FA -FA.) "' "V 5FA, D d!FA, u, 8FA, L = -r- — r- — - — - dt L' dz1 L dz 0) £> -o (2) Mass balance of ...
Sirish L. Shah, John Frederick MacGregor, 2004
