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Chebyshev Blossom in Muntz Spaces: Toward Shaping with Young Diagrams
Extended Chebyshev systems Chebyshev blossom Computer aided design Chebyshev-Bernstein basis Schur functions Young diagrams
2011/9/5
Abstract: The notion of blossom in extended Chebyshev spaces offers adequate generalizations and extra-utilities to the tools for free-form design schemes. Unfortunately, such advantages are often ove...
Magneto Hydrodynamic Orthogonal Stagnation Point Flow of a Power-Law Fluid Toward a Stretching Surface
Stagnation Point Flow Galerkin’s Finite Difference Method Stretching Surface
2013/1/30
Steady two dimensional MHD stagnation point flow of a power law fluid over a stretching surface is investigated when the surface is stretched in its own plane with a velocity proportional to the dista...
Toda Molecule and Tomimatsu-Sato Solution $\sim$ Toward the complete proof of Nakamura's conjecture$\sim$
Toda Molecule Tomimatsu-Sato Solution $\sim$ complete proof of Nakamura's conjecture$\sim$
2011/1/18
We discuss the Nakamura’s conjecture stating that the Tomimatsu-Sato black hole solution with deformation parameter n is composed of the special solutions of the Toda molecule equation at the n-th lat...
Toda Molecule and Tomimatsu-Sato Solution $\sim$ Toward the complete proof of Nakamura's conjecture$\sim$
Toda Molecule Tomimatsu-Sato Solution $\sim$
2010/12/28
We discuss the Nakamura’s conjecture stating that the Tomimatsu-Sato black hole solution with deformation parameter n is composed of the special solutions of the Toda molecule equation at the n-th lat...
Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups
Relative trace formulae Fourier-Jacobi periods of unitary groups
2011/2/24
We propose a relative trace formula approach and state the corresponding fundamental lemma
toward the global restriction problem involving Bessel or Fourier-Jacobi periods of unitary groups Un×Um, ex...
Toward a Mackey formula for compact restriction of character sheaves
Mackey formula compact restriction character sheaves
2010/11/15
We generalize a result by Cunningham-Salmasian to a Mackey-type formula for the compact restriction of a semisimple perverse sheaf produced by parabolic induction from a character sheaf, under certai...
Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs
Berenstein-Zelevinsky data affine type $A$
2010/12/10
We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type A. Moreover,by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part o...
Toward a salmon conjecture
salmon conjecture
2010/12/15
By using a result from the numerical algebraic geometry package Bertini we show that (with extremely high probability) a set of degree 6 and degree 9 polynomials cut out the secant variety 4(P2 × P2 ...
Toward the Universal Rigidity of General Frameworks
Toward the Universal Rigidity General Frameworks
2010/11/30
We prove that the (d + 1)-lateration graph with n(≥ d + 1) points, when points are in general position in Rd, not only is universally rigid but also admits a rank (n−d−1) positive semi-def...