Community Profile # Sundar Krishnan

Last seen: 2 years ago Active since 2004

Corrected : Sum of Squares (Aug 05) and Poly_POWER (Jul 05)

Codes submitted so far :

1) GCD: a) Modified GCD b) GCD of Complex Nos c) GCD of Polynomials

2) Polynomials raised to some Power including Fractional Power

3) Chinese Rem Theorem: a) for Integers b) for Polynomials

4) Eisenstein-Jacobi Prime Integer Pair

5) Continued Fractions and Inf Determinants

5) Diophantine, Sum Of Squares

6) Euler_Phi, Factoring Techniques

7) Properties of certain types of Matrices

Some of these codes have been developed in the belief that they could be useful in some form, in the areas of Error Correction Coding, Arithmetic Coding and may be, to some extent in Data Compression. These could probably help answer some queries which could arise when we analyse or learn topics in Video Compression. However, I have no concrete proof yet, that these could help directly in those areas, but atleast, that has been my background thinking.

My areas of interest are Video Compression, DSP, Maths and 3G.

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Submitted

Conversion of Fractions from Binary to Decimal and Vice Versa
Two functions are described below which will help in conversion of Fractional numbers.

Submitted

Find numbers which can be expressed as Sum of Squares of Positive Integers
Suite of 4 fns to find 2 groups of Positive Integers, whose Sum of Squares equals product of ?r? Pri

Submitted

More Flexible Sorting and Multiplicity of Roots of a Polynomial
More Flexible Sorting and Multiplicity of Roots of a Polynomial

Submitted

GCD of Polynomials and Polynomials raised to some Power including Fractional Power
GCD of Polynomials and Polynomials raised to some Power including Fractional Power

Submitted

Modified GCD
Modification in MATLAB's gcd.m by suppressing calculation of u2, v2 and t2 at intermediate steps

Submitted

Chinese Remainder Theorem for Polynomials
Verifies the Chinese Remainder Theorem for Polynomials (of "congruence")

Submitted

GCD of Complex Numbers
GCD of complex numbers.

Submitted

Euler_Phi and Its Applications
Euler_Phi, the LCM method and the Squaring method

Submitted

Simple Continued Fractions, Hill's Infinite Determinants, and Bessel Functions' Ratio
Convergence, Simple Continued Fractions, Hill's Infinite Determinants and Bessel Functions' Ratio

Submitted

Eisenstein-Jacobi Prime Integer Pair - Finding 'a' and 'b'
This Programme code-suite is about Eisenstein-Jacobi Prime Integer Pair.

Submitted

Generate many examples of Ramanujam's Diophantine Equation
Generate many examples of Ramanujam's Diophantine Equation.

Submitted

Factoring Techniques, MPN and FPN
Factoring Techniques, MPN and FPN

Submitted

k-threshold system of deciphering N
k-threshold system of deciphering N

Submitted

Chinese Remainder Theorem for Integers
This programme verifies the Chinese Remainder Theorem for Integers (of "congruence").