The function has a curious property: for any linear function , and any point , the integral evaluates to . This is easy to check using the fact that odd powers of integrate to zero: 265 more words

## Tags » Polynomial

#### The LLL lattice basis reduction algorithm

I gave a talk on Tuesday at the “Gems of Theoretical Computer Science” seminar on the LLL algorithm.

Abstract:

The LLL (Lenstra–Lenstra–Lovász) algorithm is a lattice reduction algorithm that can approximate the shortest vector in a lattice, and has numerous applications (which I’ll cover as time permits), including polynomial-time algorithms to… 317 more words

#### Elementary Maths: Algebraic representation and formulae

*A mathematical humour ‘Algebraic symbols are used when you do not know what you are talking about’*

What about algebraic representation and formulae ? Tap link below for details. 15 more words

#### Fibonacci, Chebyshev and Ramsey

Pascal’s triangle has long and celebrated history, see this TedEd video:

What makes it more interesting is its relations with various domains of Mathematics (if you don’t understand the three relations discussed, refer Wikipedia). 85 more words

#### Chebyshev polynomials and algebraic values of the cosine function

Let be an odd prime and let be the -th Chebyshev polynomial of the first kind. By Lemma 1 on page 5 of this paper… 185 more words

#### Lagrange: Solving Number Sequences

Today’s article will discuss the “Lagrange: Solving Number Sequences”. 142 more words

#### Remainder

What is the remainder when is divided by ?

Source: NCTM Mathematics Teacher, November 2006

SOLUTION

If a polynomial is divided by a polynomial , there exists a quotient polynomial and a remainder polynomial such that… 116 more words