Theorem of
An Interchangeable Theorem of Integral
... Research Article An Interchangeable Theorem of q-Integral Hongshun Ruan Department of Applied Mathematics, Jiangsu Polytechnic University, Changzhou City 213164, Jiangsu Province, China [r] ...
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Fundamental theorem of algebra
... CHAPTER THREE: COMPLEX ANALYSIS PROOF OF THE FUNDAMENTAL THEOREM OF ALGEBRA 3.1 Introduction ..... CHAPTER FOUR: ALGEBRAIC PROOF OF THE FUNDAMENTAL THEOREM OF ALGEBRAr[r] ...
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On a theorem of Schur
... Abstract. We study the ramifications of Schur’s theorem that, if G is a group such that G/ZG is finite, then G is finite, if we restrict attention to nilpotent group. Here ZG is the center of G, and G is the ...
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A generalization of a theorem of Bor
... 6 Conclusions In this study, we have generalized a well-known theorem dealing with an absolute summability method to a ϕ – |T, pn |k summability method of an infinite series by using almo[r] ...
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Fixed point theorems in CAT(0) spaces with applications
... Remark . Theorem . generalizes Theorem . of Yang and Pu [] in the following aspects: () The underlying spaces of Theorem . and Theorem . of Yang and Pu [] are CAT() spaces and ...
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Theorem 1. (Desargues’ Theorem (nonplanar case) Suppose that we are given
... Conics in projective geometry. Everyday experience shows that the photographic image of a circle or ellipse is normally an ellipse (in some exceptional cases the image is a circle, and in still others it may be a line), ...
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Savage's theorem with atoms
... famous theorem of Savage is based on the richness of the states space, by assuming a continuum nature for this ...Savage’s theorem where the existence of atom sets is ...
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Belyi's theorem revisited
... a point P in the fibre t −1 (Q). By the theorem of Riemann-Roch (see Theorem 1.6 on p. 362 in [9]) applied to the divisor D := (genus(X) + 1)[P ], there is a meromorphic function z ∈ K(X)\C such that P is ...
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On some permutation polynomials over finite fields
... Permutation binomials and the sequence {an } The main tool in the proof of Theorem 1.1 is the following well-known theorem of Hermite [3, Theorem 7.4].. Theorem 3.1 Hermite’s criterion.[r] ...
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Savage's theorem with atoms
... famous theorem of Savage is based on the richness of the states space, by assuming a continuum nature for this ...Savage’s theorem with discrete state ...
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On the Maximal Domain Theorem
... and Theorem 5, it can be shown that for markets without the monotonicity assumption, the set of GS preferences is a maximal domain for which the existence of a competitive equilibrium is ...
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On The Eneström-Kakeya Theorem
... The following result known as Eneström-Kakeya Theorem (for Reference see [1-3]) is well-known in the theory of distribution of zeros of polynomials. More recently Aziz and Zargar [r] ...
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Sandwich classification theorem
... Abstract. The present note arises from the author’s talk at the conference “Ischia Group Theory 2014”. For subgroups F ⩽ N of a group G denote by L(F, N ) the set of all subgroups of N , containing F . Let D be a ...
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Theorem recycling for Theorem Proving
... We conjecture that polynomial time decidable fragments of integer linear arithmetic are generally amenable to elementary conversions from real solutions to either integer solutions or po[r] ...
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A stochastic Ramsey theorem
... Recall th a t in the proof of the Stochastic Infinitary Ramsey Theorem (The orem 1.2), one key point is in dealing with the domain Z of the stochastic colouring / : it is not simply the collection of two ...
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Bernays and the completeness theorem
... Completeness Theorem can be employed to yield an arithmetical definition of a model of an apparently stronger the- ory of sets (modulo the assumption of its formal consistency statement), the models so obtained ...
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Stone's representation theorem
... Consider the four lattices in Figure 6.2. The lattice fy and have sublattices isomor phic with N 5 (the shaded elements). The M3 — N~ Theorem implies imediately that they are non-modular. The lattice L3 contains ...
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On the Putnam Fuglede theorem
... Theorem 4.2 . Let A = (N 1 ,N 2 ) and B = (M 1 ,M 2 ) be tuples of commuting normal op- erators in B(H) . Let K be any positive real number and let n be an integer greater than 1. Then for every neighborhood U of ...
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Applications of the fluctuation theorem
... Fluctuation Theorem to adiabatic systems was then examined and the effects of varying the transient trajectory length wras demon ...Fluctuation Theorem was also verified for steady-state sys tems which ...
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Weak Grothendieck's theorem
... Remark 2.2. It is well known that if X is a finite dimensional space, then, all the norms are equivalent. But what is most remarkable in Theorem 2.1 is that the constants are independent of the dimension n. It is ...
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