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zero’s of polynomial

Obfuscation-based  Non-black-box  Simulation   and  Four  Message  Concurrent  Zero  Knowledge  for  NP

Obfuscation-based Non-black-box Simulation and Four Message Concurrent Zero Knowledge for NP

... not have access to any inversion oracle, and run in (strict) polynomial time. The main simulator will run in the same manner as the alternative simulator S h·i except that instead of using I , it will run ...

40

Approximate Zero Polynomials of Polynomial Matrices and Linear Systems

Approximate Zero Polynomials of Polynomial Matrices and Linear Systems

... all polynomial combinants ...of polynomial matrices, the zeros are expressed as zeros of matrix divisors [9], or as the roots of the GCD of a polynomial multi-vector [3], ...

7

A condition for determinacy of optimal strategies in zero sum convex polynomial games

A condition for determinacy of optimal strategies in zero sum convex polynomial games

... We start up by assuming that the sets of optimal strategies are convex and compact. They are also semi-algebraic, because they are defined by polynomial inequalities. We use the Karlin’s (1992,V.II, P.52) ...

9

Spatial isolation implies zero knowledge even in a quantum world

Spatial isolation implies zero knowledge even in a quantum world

... in zero knowledge protocols, the prover will send a commitment to A, and then selectively reveal a limited set of evaluations of ˆ ...low-degree polynomial, since we require a low-degree ...“weakly” ...

56

CONTRIBUTION TO THE JACOBIAN CONJECTURE: POLYNOMIAL MAPPING HAVING TWO ZEROS AT INFINITY

CONTRIBUTION TO THE JACOBIAN CONJECTURE: POLYNOMIAL MAPPING HAVING TWO ZEROS AT INFINITY

... a polynomial mapping of constant Jacobian is invertible is not up to now ...the polynomial mapping with constant Jacobian has at most two zeros at ...one zero at infinity is ...

14

Zero free region & location of zero’s of a polynomial with restricted coefficients

Zero free region & location of zero’s of a polynomial with restricted coefficients

... Zero free region & location of zero’s of a polynomial with restricted coefficients1. AijazAhmad, 2 Mushtaq.[r] ...

8

Shrinkage Curve: Experimental Study and Modelling

Shrinkage Curve: Experimental Study and Modelling

... The current paper proposes a new model of the shrinkage curve on the basis of the soil’s water content and its structural evolution. This single equation model is able to cover the fourth parts of the shrinkage curve ...

8

Approximate zero polynomials of polynomial matrices and linear systems

Approximate zero polynomials of polynomial matrices and linear systems

... terms of exterior products and associated Pl¨ucker matrices of controllability and observability pencils [9] to define distance from the set of uncontrollable, unobservable systems, as well as the corresponding ...

7

On Commutativity of Rings Under Certain Polynomial Constraints

On Commutativity of Rings Under Certain Polynomial Constraints

... the polynomial constraints of the theorem is zero and the ring also satisfies the property Q(n) Further, in the second section, commutativity of a ring with unity 1 has also been established under a set of ...

7

Approximate zero polynomials of polynomial matrices and linear systems

Approximate zero polynomials of polynomial matrices and linear systems

... orbit S(A + BL, B) (S(A + KC,C)) from the family of uncontrollable (unobservable) ...of polynomial vectors and thus they are decomposable matrices ...

21

Zero-knowledge  Argument  for  Polynomial  Evaluation  with  Application  to  Blacklists

Zero-knowledge Argument for Polynomial Evaluation with Application to Blacklists

... verifier zero-knowledge argu- ment for correct polynomial ...the polynomial, which is a significant improvement over the state of the art with cubic root complexity at ...

17

Lightweight  CRC-based  Authentication

Lightweight CRC-based Authentication

... of polynomial modular division in GF (2) can be realized using an n-bit LFSR with taps defined by the generator polynomial of degree ...generator polynomial is fixed and the LFSR implementing the ...

18

Lower Bounds Of The Number Of Real Roots  Of  Random  Algebraicpolynomials

Lower Bounds Of The Number Of Real Roots Of Random Algebraicpolynomials

... ’ s denote positive absolute constants assuming not necessarily the same value at every place of occurrence , [ x ] denote the greatest integer not exceeding x ...

11

Some Localization of the Zeros of the Third Derivatives of a Complex Polynomial the Disks or Generalized Cardioid Interioriors

Some Localization of the Zeros of the Third Derivatives of a Complex Polynomial the Disks or Generalized Cardioid Interioriors

... For the first time here, we consider a generalized cardioid. We see that the roots of polynomial must belong to the generalized cardioid interiorities, created by the zeros of the given polynomial. Many of ...

11

Zero free approximants to derivatives of prestarlike functions

Zero free approximants to derivatives of prestarlike functions

... For prestarlike (and convex) functions f , the present work finds approximants derived from the convolution between f and g, where zg are close-to-convex of nonnegative or- der. This general result can be widely applied ...

8

On the complexity of Wafer to Wafer Integration

On the complexity of Wafer to Wafer Integration

... proximation algorithm for m = 3 and several f (m) -approximation algorithms for arbitrary m (and for a more general prot function c ). Furthermore, we also noticed in [4] that the natural ILP formulation implied that min ...

20

On the Computational Complexity of Software (Re)Modularization: Elaborations and Opportunities

On the Computational Complexity of Software (Re)Modularization: Elaborations and Opportunities

... Given that the running times of these algorithms are (to be blunt, ludicrously) impractical and k and s may only be small in instances that are easily modularizable by humans, the results above are not immediately ...

7

Abstract. In this paper we find bounds for the zeros of a complex polynomial when the coefficients of the

Abstract. In this paper we find bounds for the zeros of a complex polynomial when the coefficients of the

... M.H.Gulzar, Ajaz Wani and Rubia Akhtar, Zero-free Regions and Bounds for the Number of Zeros of a Polynomial in a Region, International Journal of Advance Research in Science and Eng[r] ...

10

Discontinuous Galerkin Finite Element Methods for Photonic
Crystals

Discontinuous Galerkin Finite Element Methods for Photonic Crystals

... a zero target; with this setting, the desired or- dering of the eigenvectors won’t change as often, potentially resulting in an even larger speed improvement and much easier (L)DOS ...

94

On the $s^{th}$ derivative of a polynomial

On the $s^{th}$ derivative of a polynomial

... This paper presents a result which gives generalizations of some inequalities regarding the s th derivative of a polynomial having zeros outside a circle.. Besides, our result gives inte[r] ...

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