The derangement problem relative to the Mahonian process by Jessica Delfert, Hillary Einziger, Don Rawlings

“…We survey n! plus q-derangement problems. Solutions to four Mahonian statistics arising in connection with cycle placement rules are presented. …”
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A new approach for studying fuzzy functional equations by Elias Deeba, Andre De Korvin

“…We define the concept of a largest and a smallest solution to an underlying equation and then show that a fuzzy solution of the corresponding fuzzy equation is bounded above and below by these solutions, respectively.…”
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A theorem on localized self-adjointness of Shrödinger operators with LLOC1-potentials by Hans L. Cycon

“…We prove a result which concludes the self-adjointness of a Schrödinger operator from the self-adjointness of the associated localized Schrödinger operators having LLOC1-Potentials.…”
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Rational modules and higher order Cauchy transforms by James Li-Ming Wang

“…We apply the higher order Cauchy transforms to describe the closures of rational modules with respect to the LP norms, the uniform norm and different Lipschitz norms on a compact set in the plane.…”
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Flett's mean value theorem in topological vector spaces by Robert C. Powers, Thomas Riedel, Prasanna K. Sahoo

“…We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.…”
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The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation by David Hill, Joshua Sussan

“…We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight 2ωk.…”
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A common fixed point theorem for a sequence of fuzzy mappings by B. E. Rhoades

“…We obtain a common fixed point theorem for a sequence of fuzzy mappings, satisfying a contractive definition more general than that of Lee, Lee, Cho and Kim [2].…”
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The double bubble problem in spherical and hyperbolic space by Andrew Cotton, David Freeman

“…We prove that the standard double bubble is the least-area way to enclose and separate two regions of equal volume in ℍ3, and in S3 when the exterior is at least ten percent of S3.…”
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Sign-changing and multiple solutions for the p-Laplacian by Siegfried Carl, Kanishka Perera

“…We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.…”
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Periods for holomorphic maps via Lefschetz numbers by Jaume Llibre, Michael Todd

“…We characterise the set of fixed points of a class of holomorphic maps on complex manifolds with a prescribed homology. …”
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Subclasses of uniformly starlike functions by Ed Merkes, Mohammad Salmassi

“…We study subclasses of the class of uniformly starlike functions which were recently introduced by A.W. …”
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Homeomorphisms of Compact Sets in Certain Hausdorff Spaces by Arthur D. Grainger

“…We construct a class of Hausdorff spaces (compact and noncompact) with the property that nonempty compact subsets of these spaces that have the same cardinality are homeomorphic. …”
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Some E-J Generalized Hausdorff Matrices Not of Type 𝑀 by T. Selmanogullari, E. Savaş, B. E. Rhoades

“…We show that there exists a regular E-J generalized Hausdorff matrix which has no zero elements on the main diagonal and which is not of type 𝑀 and establish several other related theorems.…”
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Faster Recovery of Internal Ophthalmoplegia than External Ophthalmoplegia in a Miller Fisher Variant of Guillain-Barre Syndrome by Golla Abhinav, Jorge Gamez, Michael C. Yang, Tetyana Vaysman, Michelle von Gunten, Antonio Liu

“…We present a case of classic Miller Fisher Syndrome (MFS) variant of Guillain-Barre Syndrome (GBS) with detailed description in the difference between the internal and external ophthalmoplegia. …”
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Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions by Shayma Adil Murad, Hussein Jebrail Zekri, Samir Hadid

“…We study the existence and uniqueness of the solutions of mixed Volterra-Fredholm type integral equations with integral boundary condition in Banach space. …”
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Some Analytical Solitary Wave Solutions for the Generalized q-Deformed Sinh-Gordon Equation: ∂2θ/∂z∂ξ=αsinhq⁡(βθγ)p-δ by H. Eleuch

“…We introduce the generalized q-deformed Sinh-Gordon equation and derive analytical soliton solutions for some sets of parameters. …”
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On the monotonicity of the quotient of certain abelian integrals by Min Ho Lee

“…We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of the abelian integrals.…”
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Graded radical W type Lie algebras I by Ki-Bong Nam

“…We get a new ℤ-graded Witt type simple Lie algebra using a generalized polynomial ring which is the radical extension of the polynomial ring F[x] with the exponential function ex.…”
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Remarks on quadratic equations in Banach space by Ioannis K. Argyros

“…We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multilinear equations in a Banach space X, by assuming the existence of a certain limit of linear operators in a suitable subspace of X.…”
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Near-Field Spherical Scanning Antenna Measurements: Probe Deconvolution and Sensitivity by Ronald C. Wittmann, Michael H. Francis

“…We define and calculate sensitivity for several actual and simulated probes. …”
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