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Johnstone, P.T., Pare, R. Indexed categories and their applications. Lecture Notes in Mathematics 661, Springer-Verlag, 1978.

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Rigorous Semiclassical Results for the Magnetic Response of .. - Combescure, Robert (2001)   (Correct)

....through partial derivatives of H # (q, p) and that can be computed explicitly. Furthermore, due to the particular form (2.3) of H # , b j # 0 for odd j s, and RN obeys : RN (z) # CN z Im z 3N 2 k(n) 2.21) k(n) depending only on the dimension n. for details see [8]) Now inserting (2.19) into the Cauchy formula and using f (m) #) 1) m m 2i# Z # dz f(z) z #) m 1 (2.22) together with (h = 2#h) Tr b A = h n Z IR 2n dp dq A(q, p) 2.23) we get the result. Let us make explicit the calculus. We have to find b 2 (z) such that 8 c ....

M. Dauge and D. Robert, Lecture Notes in Mathematics 1256, Springer-Verlag, 91-126 (1986).


A Categorical Manifesto - Goguen (1991)   (20 citations)  (Correct)

.... Grothendieck category. Moggi [56] applies indexed categories to programming languages, and in particular shows how to get a kind of higher order module facility for languages like ML. Non strict indexed categories are significantly more complex, and have been used in foundational studies [57]. 8.5 Topoi. A profound generalisation of the idea that a theory is a category appears in the topos notion developed by Lawvere, Tierney, and others. In a sense, this notion captures the essence of set theory. It also has surprising relationships to algebraic geometry, computing science, and ....

Robert Par'e and Peter Johnstone. Indexed Categories and their Applications. Springer, 1978. Lecture Notes in Mathematics, Volume 661.


Some Fundamental Algebraic Tools for the Semantics of.. - Tarlecki, Burstall.. (1989)   (47 citations)  (Correct)

No context found.

Johnstone, P.T., Pare, R. Indexed categories and their applications. Lecture Notes in Mathematics 661, Springer-Verlag, 1978.


Applying Modular Towers to the Inverse Galois Problem - Fried, Kopeliovich (1997)   (Correct)

No context found.

A. Robert, Elliptic curves, Lecture Notes in Mathematics 326, Springer -Verlag, Heidelberg-New York, 1973.


Approximate Isometries on Finite-Dimensional Normed Spaces - Dilworth   (Correct)

No context found.

Robert R. Phelps, Convex functions, Monotone Operators and Di#erentiability, Lecture Notes in Mathematics, Vol. 1364, Springer-Verlag, Berlin Heidelberg, 1989.

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