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321	Vacuously True Everyone agrees that the implication P =⇒ Q is true when P and Q are both true. In mathematics, P =⇒ Q is also declared to be true when P (the hypothesis) is false. Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 1998-06-04 15:22:17 Mathematical logic Nothing Vacuous truth Veracity Continuous function Support Limit of a function Mathematical analysis Mathematics Logic
322	Powerpoint template for scientific posters (Swarthmore College) Add to Reading List Source URL: www.dsls.usra.edu Language: English - Date: 2014-01-07 10:11:11 Radiobiology Physics Gamma ray Ionizing radiation Radiation therapy Cell cycle Cell Medicine Biology Radioactivity
323	PDF Document Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 1998-06-04 15:22:07 Compact space Disjoint sets Open set Base Topological property Topology General topology Closed set
324	Final Problems 1. Let ! Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 1997-05-29 21:34:31 Functions and mappings Multivariable calculus Abstract algebra Differential calculus Mass Inverse element Function Derivative Mathematics Mathematical analysis Inverse functions
325	Matrix Norms and Quadratic Forms Let M = [aij ] be a matrix. The matrix norm \|\|M \|\| is defined by \|\|M \|\| = max{\|M x\| : \|x\| = 1}. Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 1998-06-04 15:21:59 Matrices Matrix theory Abstract algebra Matrix Eigenvalues and eigenvectors Quadratic form Vector space Symmetric matrix Diagonalizable matrix Algebra Mathematics Linear algebra
326	Derivatives and Gradients Note: except where a problem says find something from the definition, you can use any easy computational method that we have learned. 1. Let f (x, y) = xy, let a = (1, 2), and let v = (2, 3). Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 1998-06-04 15:22:07 Differential calculus Generalizations of the derivative Differential geometry Vector calculus Gradient Derivative Vector space Tangent space Partial derivative Mathematics Mathematical analysis Calculus
327	Some Starter Inverse/Implicit Function Problems 1. Let f (x, y) = (ex cos y, ex sin y). Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 2007-01-28 11:01:46 Inverse functions Differential topology Multivariable calculus Functions and mappings Differential calculus Inverse function theorem Inverse function Implicit function theorem Implicit and explicit functions Mathematical analysis Mathematics Calculus
328	Change of Variable in Limits Introduction and notation. Throughout this problem set we consider the situation f (a) = b, Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 2007-01-28 10:59:10 Calculus Continuous function Functions and mappings Hopf algebra Group homomorphism Mathematical analysis Mathematics Operator theory
329	Introduction to Probability Charles M. Grinstead Swarthmore College J. Laurie Snell Add to Reading List Source URL: www.dim.uchile.cl Language: English - Date: 1999-03-17 17:10:45 Probability theory Science Probability distribution Random variable Probability density function Probability Randomness Markov chain Expected value Probability and statistics Information Statistics
330	Pictures of Functions There are three classes of “surfaces” that can be associated with a function f : Rn → Rm . 1. The graph of f . This is the subset of Rn+m defined by Add to Reading List Source URL: www.swarthmore.edu Language: English - Date: 1998-06-04 15:22:07 Differential calculus Functions and mappings Analytic geometry Differential geometry Differential topology Tangent Derivative Linear equation Trigonometric functions Mathematics Mathematical analysis Algebra

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