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The Relationship between Inner Product and Counting Cycles
Relationship Inner Product Counting Cycles
2012/12/4
Cycle-Counting is the following communication complexity problem: Alice and Bob each holds a permutation of size n with the promise there will be either a cycles or b cycles in their product. They wan...
On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$
Skew Brownian motion advection-diffusion local time
2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.
In this paper we present a new criterion on characterization of real inner product spaces.
Inner product space with no ortho-normal basis without choice
Inner product space no ortho-normal basis without choice
2010/12/1
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
The Iso-Taxicab Geometry is a non-Euclidean Geometry. It is defined in 1989
by K.O. Sowell. The aim of this paper is, firstly, to present basics of Iso-Taxicab
Geometry, discuss the similarities to ...
On the ordered sets in n-dimensional real inner product spaces
Real inner product space Lorentz-Minkowski distance Lorentz trans-formation
2008/12/26
Let X be a real inner product space of dimension ¸ 2. In [2],
W. Benz proved the following theorem for x; y 2 X with x < y: "The
Lorentz-Minkowski distance between x and y is zero (i.e., l (x;...
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces (I)
Schwarz's inequality Triangle inequality Inner product spaces
2008/7/3
In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces (II)
Schwarz inequality Inner product spaces Reverse inequalities
2008/7/3
Further inequalities related to the Schwarz inequality in real or complex inner product spaces are given.
A Grüss type inequality for sequences of vectors in inner product spaces and applications
Grüss Inequality inner product spaces
2008/7/3
A Grüss type inequality for sequences of vectors in inner product spaces which complement a recent result from [6] and applications for differentiable convex functions defined on inner product spaces ...
An Identity In Real Inner Product Spaces
Real inner product spaces Equality Grüss inequality
2008/7/2
We obtain an identity in real inner product spaces that leads to the Grüss inequality and an inequality of Ostrowski.
The paper contains inequalities related to generalizations of Schwarz's inequality.
On a Generalized $n-$inner Product and the Corresponding Cauchy-Schwarz Inequality
Cauchy-Schwarz inequality $n$-inner product $n$-norm
2008/6/30
On a Generalized $n-$inner Product and the Corresponding Cauchy-Schwarz Inequality.
Refinements of Reverse Triangle Inequalities in Inner Product Spaces
Triangle inequality Reverse inequality Diaz-Metkalf inequality Inner product space
2008/6/27
Refining some results of S.S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.
Reverses of Schwarz's Triangle and Bessel Inequalities in Inner Product Spaces
Schwarz's inequality Triangle inequality Bessel's inequality Gruss type inequalities Integral inequalities
2008/6/27
Reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces that produce some earlier results are pointed out. They are applied to obtain new Gruss type inequalities. Some natura...
Some Grüss Type Inequalities in Inner Product Spaces
Grüss' Inequality Inner products Integral inequalities Discrete Inequalities
2008/6/27
Some new Grüss type inequalities in inner product spaces and applications for integrals are given.