Results 71 to 80 of about 2,550,362 (221)

Colour by Numbers: Solving Algebraic Equations Without Algebra

Spreadsheets in Education, 2006
A series of Excel models is described. They allow solution of f(x) = 0 by examining change of sign of function values. The function is graphed and change of sign easily detected by a change of colour. Prominent Excel features used are Names, Chart Wizard
Stephen J. Sugden
doaj  

Tamagawa numbers of polarized algebraic varieties [PDF]

, 1997
Let ${\cal L} = (L, \| \cdot \|_v)$ be an ample metrized invertible sheaf on a smooth quasi-projective algebraic variety $V$ defined over a number field.
Batyrev, Victor V., Tschinkel, Yu.
core   +4 more sources

Approximation of complex algebraic numbers by algebraic numbers of bounded degree

, 2007
We investigate how well complex algebraic numbers can be approximated by algebraic numbers of degree at most n. We also investigate how well complex algebraic numbers can be approximated by algebraic integers of degree at most n+1.
Bugeaud, Yann, Evertse, Jan-Hendrik
core   +1 more source

The best constant for inequality involving the sum of the reciprocals and product of positive numbers with unit sum

Journal of Inequalities and Applications
In this paper, we study a special algebraic inequality containing a parameter, the sum of reciprocals and the product of positive real numbers whose sum is 1. Using a new optimization argument the best values of the parameter are determined.
Yagub N. Aliyev
doaj   +1 more source

Propagation of Soundwaves in Uncertain Environment – New Interval Perturbation Methodology

Archives of Acoustics, 2008
The aim of the paper is to present applications of the new interval algebraic system in acoustic problems. The modified algebraic system operates over specifically strictly determine interval numbers with specially defined addition and multiplication ...
Agnieszka WINKLER–SKALNA
doaj  

On MV-Algebraic Versions of the Strong Law of Large Numbers

Entropy, 2019
Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
doaj   +1 more source

Normal Algebraic Number Fields [PDF]

Proceedings of the National Academy of Sciences, 1940
MacLane, Saunders, Schilling, O. F. G.
openaire   +4 more sources

On the approximation to algebraic numbers by algebraic numbers

Glasnik Matematicki, 2009
Let n be a positive integer. Let ξ be an algebraic real number of degree greater than n. It follows from a deep result of W. M. Schmidt that, for every positive real number e, there are infinitely many algebraic numbers α of degree at most n such that |ξ−α| < H(α)−n−1+e, where H(α) denotes the naive height of α. We sharpen this result by replacing e by
openaire   +3 more sources

A Verified Implementation of Algebraic Numbers in Isabelle/HOL. [PDF]

J Autom Reason, 2020
Joosten SJC, Thiemann R, Yamada A.
europepmc   +1 more source

Hodge–Lyubeznik numbers

Comptes Rendus. Mathématique
We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity,
García López, Ricardo, Sabbah, Claude
doaj   +1 more source