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quadratic form

What is the probability that a random integral quadratic form in n variables has an integral zero?

What is the probability that a random integral quadratic form in n variables has an integral zero?

... integral quadratic form with respect to the distribution D is locally soluble), together with the Hasse–Minkowski Theorem (which states that a quadratic form is isotropic if and only if it is ...

22

Generation Of Keymatrix For Hill Cipher Encryption Using Quadratic Form

Generation Of Keymatrix For Hill Cipher Encryption Using Quadratic Form

... Abstract—Hill Cipher is a polygraphic encryption which uses matrices to transform blocks of plaintext letters into blocks of ciphertext. In Hill cipher, if the encryption keymatrix called keymatrix is not properly ...

5

FACTORIZATION USING SQUARE ROOT OF A SQUARE BINARY QUADRATIC FORM

FACTORIZATION USING SQUARE ROOT OF A SQUARE BINARY QUADRATIC FORM

... binary quadratic forms which depends on the search for ambiguous forms that leads to a non trivial factorization of ...binary quadratic form from a positive definite binary quadratic ...

9

Volumetric expansions of accelerating unstable cosmological models with a quadratic form of equation of state

Volumetric expansions of accelerating unstable cosmological models with a quadratic form of equation of state

... with Quadratic form of Equation of State towards the field equations f (R ) gravity using volumetric power and exponential law of expansion it is observed that the function of Ricci scalar of the model is ...

9

On the Minimum of a Positive Definite Quadratic Form over Non--Zero Lattice points. Theory and Applications

On the Minimum of a Positive Definite Quadratic Form over Non--Zero Lattice points. Theory and Applications

... The initial motivation of this work was to address a fundamental problem that emerged very recently in Information Theory. The latter is related to a new model of communication channel (the so called Integer–Forcing ...

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The density of a quadratic form in a vector uniformly distributed on the n sphere

The density of a quadratic form in a vector uniformly distributed on the n sphere

... Although much studied, no general closed-form expression for the density function of such a statistic is known. This paper gives general formulae for the density in each open interval between the characteristic ...

30

On Representations of integers by the quadratic form x2 − Dy2

On Representations of integers by the quadratic form x2 − Dy2

... binary quadratic forms has been a penchant for math- ematicians throughout history including the well known Pierre de Fermat and Charles ...the form x 2 − Dy 2 where D > 1 and ...the form x 2 − Dy ...

69

Various Improved Approximations to Distributions
of Quadratic Test Statistics for Dependent Rank Sums

Various Improved Approximations to Distributions of Quadratic Test Statistics for Dependent Rank Sums

... a quadratic form of Wilcoxon rank sum statistics, with the variance-covariance matrix estimated using methods derived by Davis and Quade; they also apply this multivariate normal approximation to derive ...

5

Sigma models of the AdS/CFT correspondence

Sigma models of the AdS/CFT correspondence

... usually makes a shift 0 = u + /?, which, among other things, produces the following quadratic form: E.3 In particular, for n 7^ 0 the quadratic form above is nondegenerate, its zeros des[r] ...

177

Scale invariant singularity of the surface quasigeostrophic patch

Scale invariant singularity of the surface quasigeostrophic patch

... analytic form. It may be approximated to leading order by a quadratic form near the region of maximum curvature, asymptotic to the spiral branches of the intermediate ...same form: for ...

10

On the Optimization Problem of Stochastic Observations of Random Walks

On the Optimization Problem of Stochastic Observations of Random Walks

... Abstract The optimal control problem for the intensity of observation events of the process of random walk is considered for the case of counting Poisson process in semimartingale terms. The linear function of the ...

5

An improved closed-form solution for the constrained minimization of the root of a quadratic functional

An improved closed-form solution for the constrained minimization of the root of a quadratic functional

... The method of proof used by Landsman [1, 2] is to substitute the constraint in equa- tion (2) directly into the objective function in equation (1). Both of the proofs that we give in sections 3.2 and 3.3 employ the ...

18

Managerial Ownership and Corporate Cash Holdings: Insights from an Emerging Market

Managerial Ownership and Corporate Cash Holdings: Insights from an Emerging Market

... By using dynamic panel data methodology with GMM analysis, endogeneity problem is controlled that could occur in cash holding investigation. A negative relation between managerial ownership and cash holdings is found. ...

14

Short Term International Study For Teachers As A Form of Experiential Learning: A Case Study of American Educators in Turkey

Short Term International Study For Teachers As A Form of Experiential Learning: A Case Study of American Educators in Turkey

... convex because it consists of the minimization of a quadratic form function subject to linear constraints [5]. After the optimization equations are solved in the management system, a sub[r] ...

78

Developing A Combined Strategy For Solving Quadratic Assignment Problem

Developing A Combined Strategy For Solving Quadratic Assignment Problem

... The Quadratic assignment problem (QAP) is in simplest form concerned with locating facilities on locations, such that total transportation costs are ...in quadratic form and it is a non convex ...

5

Tight Monomials with t Value ≤ 9 for Quantum Group of Type D4

Tight Monomials with t Value ≤ 9 for Quantum Group of Type D4

... a quadratic form to every monomial, and proved that, given certain linear conditions, the monomial is tight (respectively, semi-tight) provided that this quadratic form satisfies a certain ...

24

A Solution Approach for Solving Fully Fuzzy Quadratic Programming Problems

A Solution Approach for Solving Fully Fuzzy Quadratic Programming Problems

... fuzzy quadratic programming problems with fuzziness in ...fuzzy quadratic programming problem, where the cost coefficients, the matrix of the quadratic form, constraints coefficients, and the ...

12

Extension  Field  Cancellation:  a  New  Central  Trapdoor  for  Multivariate  Quadratic  Systems

Extension Field Cancellation: a New Central Trapdoor for Multivariate Quadratic Systems

... multivariate quadratic cryp- tosystems rather than a mere ...the quadratic form associated with the extension field polynomial, rendering the MinRank attack due to Kipnis and Shamir [18] as well as ...

14

Quantum stochastic Lie Trotter product formula II

Quantum stochastic Lie Trotter product formula II

... strong form of independence of the constituent cocycles is ...to quadratic form generators, and a conjecture is formulated for the extension of the product formula to holomorphic quantum stochastic ...

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PRE-SERVICE MATHEMATICS TEACHERS’ KNOWLEDGE OF MATHEMATICS FOR TEACHING: QUADRATIC FUNCTIONS

PRE-SERVICE MATHEMATICS TEACHERS’ KNOWLEDGE OF MATHEMATICS FOR TEACHING: QUADRATIC FUNCTIONS

... As noted in the introductory remarks in this paper, that in some countries such as South Africa, students who do not have a sufficiently robust knowledge of basic mathematics are recruited into the teaching profession ...

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