Results 11 to 20 of about 1,777,027 (265)
Complex singularities around the QCD critical point at finite densities [PDF]
, 2014 Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence on the real ...
Ejiri, Shinji +2 more
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A new proof of the theorems of Lin-Zaidenberg and Abhyankar-Moh-Suzuki [PDF]
, 2015 Using the theory of minimal models of quasi-projective surfaces we give a new proof of the theorem of Lin-Zaidenberg which says that every topologically contractible algebraic curve in the complex affine plane has equation $X^n=Y^m$ in some algebraic ...
Palka, Karol
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Absence of Zeros and Asymptotic Error Estimates for Airy and Parabolic Cylinder Functions [PDF]
, 2012 We derive WKB approximations for a class of Airy and parabolic cylinder functions in the complex plane, including quantitative error bounds. We prove that all zeros of the Airy function lie on a ray in the complex plane, and that the parabolic cylinder ...
Finster, Felix, Smoller, Joel
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Difference equations in the complex plane
Journal of Mathematical Analysis and Applications, 1985 The difference equation \(z_{n+1}=T(z_ n)\) for \(n=0,1,2,...\), where T is an analytic function in the complex plane with fixed point \(z^*\) is studied subject to the condition \(| T'(z)|
W.J Walker, M. K. Vamanamurthy
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On the genus of the complex projective plane [PDF]
Aequationes Mathematicae, 1989 The paper is devoted to the construction of a pseudo-triangulation of the complex projective plane \({\mathbb{C}}P^ 2\), with 5 vertices, 10 edges, 20 triangles, 20 tetrahedra and 8 5-simplexes, which is proved to be minimal with respect to both the number of vertices and 5-simplexes.
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The Pantograph Equation in the Complex Plane
Journal of Mathematical Analysis and Applications, 1997 The subject matter is focused on two functional differential equations. First of them is the pantograph equation with involution on the complex plane: \[ y'(z)=\sum_{k=0}^{m-1} \left[ a_k y(\omega^k z) + b_k y(r \omega^k z) + c_k y'(r \omega^k z) \right] , \] where \(a_k, b_k, c_k \in \mathbb{C}, k= 0, 1, \dots , m-1,\) are given, \(r \in (0,1)\), and \
Arieh Iserles, Gregory Derfel
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On the Complexity of Arrangements of Circles in the Plane [PDF]
Discrete & Computational Geometry, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alon, N. +3 more
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Chromatic roots are dense in the whole complex plane [PDF]
, 2000 I show that the zeros of the chromatic polynomials P_G(q) for the generalized theta graphs \Theta^{(s,p)} are, taken together, dense in the whole complex plane with the possible exception of the disc |q-1| < 1.
Sokal, Alan D.
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Distinct distances in the complex plane [PDF]
Transactions of the American Mathematical Society, 2021 We prove that if P P is a set of n n points in C 2 \mathbb {C}^2 , then either the points in P P determine Ω ( n 1 − ε ) \Omega (n^{1 ...
Joshua Zahl, Adam Sheffer
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Triangle formulas in the complex plane [PDF]
Mathematics of Computation, 1964 where R(f; z1) is the remainder at zi due to linear interpolation to f(z) at Z2 and Z3. This formula was subsequently found in Approximation: Theory and Practice by I. J. Schoenberg (Notes on a series of lectures at Stanford University, 1955) and correspondence with Schoenberg revealed that it was obtained by him and T.
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