Geometry of numbers

Results: 168



#Item
81Real algebraic geometry / Elementary mathematics / Construction of the real numbers / Constructivism / Archimedean property / Number system / Axiom / Linear continuum / Real number / Mathematics / Abstract algebra / Field theory

1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (Mor

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Source URL: www.math.caltech.edu

Language: English - Date: 2010-10-01 12:25:51
82Euclidean plane geometry / Elementary algebra / Group theory / Golden ratio / Pi / Logarithm / Fraction / Equation / Differential equation / Mathematics / Mathematical analysis / Numbers

AMICITIA  AMERICAN  SCHOOL  OF  FES,  MOROCCO                                                                

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Source URL: www.americanschoolfes.com

Language: English - Date: 2014-09-08 04:37:20
83Polytopes / Algebraic topology / Polyhedral combinatorics / Topological graph theory / Betti number / Dehn–Sommerville equations / Convex polytope / Duality / Vector space / Mathematics / Algebra / Geometry

Candidate Betti numbers for the linear homology of convex polytopes Jonathan Fine 25 February 2013

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Source URL: jonathanfine.files.wordpress.com

Language: English - Date: 2013-02-25 11:54:37
84Field theory / Elementary mathematics / Order theory / Construction of the real numbers / Archimedean property / Number system / Linear continuum / Multiplication / Real number / Mathematics / Abstract algebra / Real algebraic geometry

1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (Mor

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Source URL: www.math.caltech.edu

Language: English - Date: 2012-10-08 12:36:11
85Elementary mathematics / Field theory / Real numbers / Real algebraic geometry / Least-upper-bound property / Multiplication / Supremum / Number system / Well-order / Mathematics / Abstract algebra / Order theory

Lecture 2: The real numbers The purpose of this lecture is for us to develop the real number system. This might seem like a very strange thing for us to be doing. It must seem to you that you have been studying real numb

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Source URL: math.caltech.edu

Language: English - Date: 2013-08-06 12:25:56
86Real analysis / Metric geometry / Abstract algebra / Elementary mathematics / Cauchy sequence / Series / Least-upper-bound property / Complete metric space / Construction of the real numbers / Mathematical analysis / Mathematics / Calculus

Notes on Calculus by Dinakar Ramakrishnan[removed]Caltech Pasadena, CA[removed]Fall 2001

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Source URL: www.math.caltech.edu

Language: English - Date: 2001-10-25 15:24:34
87Computer graphics / Noise / Imaging / Digital geometry / Digital imaging / Image noise / Digital camera / Pixel / Infrared / Digital photography / Image processing / Electromagnetic radiation

How to make faint things stand out in a bright world! You are, by now, probably familiar with the mathematical procedure of averaging numbers together. When we combine images together, we can use data averaging to make f

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Source URL: spacemath.gsfc.nasa.gov

Language: English - Date: 2010-05-02 13:23:56
88Metric geometry / Elementary mathematics / Real analysis / Real numbers / Convergence / Cauchy sequence / Series / Least-upper-bound property / Complete metric space / Mathematical analysis / Mathematics / Geometry

2 Sequences and Series In this chapter we will study two related questions. Given an infinite collection X of numbers, which can be taken to be rational, real or complex, the first question is to know if there is a li

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Source URL: www.math.caltech.edu

Language: English - Date: 2010-10-17 14:26:53
89Golden ratio / Numbers / Euclidean plane geometry / Optical telescope / Fibonacci number / Inter-University Centre for Astronomy and Astrophysics / Golden spiral / C. V. Raman / Canons of page construction / Telescopes / Geometry / Mathematics

R.N[removed]ISSN : 0972-169X March[removed]Postal Registration No.: DL-SW[removed]

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Source URL: www.vigyanprasar.gov.in

Language: English - Date: 2013-03-01 03:56:24
90Philosophy of mathematics / Euclidean plane geometry / Golden ratio / Fibonacci number / On-Line Encyclopedia of Integer Sequences / Proportion / Infinity / Four-dimensional space / The Story of Maths / Mathematics / Geometry / Numbers

DOC Document

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Source URL: www.gresham.ac.uk

Language: English - Date: 2014-08-11 06:34:35
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