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61	TAKE-HOME CLASS QUIZ: DUE FRIDAY OCTOBER 18: LINEAR SYSTEMS: RANK AND DIMENSION CONSIDERATIONS MATH 196, SECTION 57 (VIPUL NAIK) Your name (print clearly in capital letters): PLEASE DO NOT DISCUSS ANY QUESTIONS EXCEPT TH Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 19:17:20 Algebra Mathematics Linear algebra Vectors Abstract algebra Chemical reaction engineering Stoichiometry Numerical linear algebra Matrix Rank Vector space Diagonal matrix
62	DIAGNOSTIC IN-CLASS QUIZ: DUE MONDAY NOVEMBER 25: SUBSPACE, BASIS, AND DIMENSION MATH 196, SECTION 57 (VIPUL NAIK) Your name (print clearly in capital letters): PLEASE DO NOT DISCUSS ANY QUESTIONS. Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Operator theory Mathematics Linear algebra Functional analysis Linear subspace
63	COORDINATES MATH 196, SECTION 57 (VIPUL NAIK) Corresponding material in the book: Section 3.4. Note: Section 4 of the lecture notes, added Sunday December 8, is not included in the executive summary. It is related to the Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Algebra Mathematics Linear algebra Matrices Matrix theory Determinant Matrix Diagonal matrix Change of basis Trace Square matrix Identity matrix
64	SOME TRANSFORMS IN FUNCTIONAL ANALYSIS VIPUL NAIK Abstract. This article describes some of the ideas and concerns that one needs to keep in mind when performing transforms in functional analysis. Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Fourier analysis Mathematical physics Operator theory Integral transforms Quantum mechanics Fourier transform WignerWeyl transform Positive-definite kernel Lp space Multiplier Fourier series
65	CLASS QUIZ: NOVEMBER 28: LOGARITHM AND EXPONENTIAL MATH 152, SECTION 55 (VIPUL NAIK) Your name (print clearly in capital letters): Note: I didn’t administer this quiz last year, so I don’t have data on the level of d Add to Reading List Source URL: files.vipulnaik.com Language: English Special functions Mathematical analysis Exponentials Mathematics E Logarithms Analytic functions Exponential function Natural logarithm Exponentiation Exponential polynomial Exponential growth
66	TAKE-HOME CLASS QUIZ: DUE WEDNESDAY DECEMBER 4: MATRIX TRANSPOSE: PRELIMINARIES MATH 196, SECTION 57 (VIPUL NAIK) Your name (print clearly in capital letters): PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS. Add to Reading List Source URL: files.vipulnaik.com Language: English Algebra Matrices Mathematics Symmetric matrix Skew-symmetric matrix Matrix Square matrix Transpose Diagonalizable matrix Hermitian matrix
67	This document is a collection of research notes compiled by Vipul Naik for MIRI on the distribution of computation in the world. It has not been independently vetted, and is chiefly meant as a resource for other research Add to Reading List Source URL: intelligence.org Language: English - Date: 2014-02-28 20:43:06 Computing Parallel computing Concurrent computing Supercomputers Distributed computing architecture K computer RIKEN FLOPS Computer data storage Google Exascale computing Supercomputer
68	REVIEW SHEET FOR FINAL: BASIC MATH 195, SECTION 59 (VIPUL NAIK) The document does not include material that was part of the midterm 1 and midterm 2 review sessions. Please also bring copies of these review sheets to the Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Multivariable calculus Differential calculus Mathematical optimization Convex analysis Singularity theory Quasiconvex function Derivative test Critical point Maxima and minima
69	LINEAR DEPENDENCE, BASES, AND SUBSPACES MATH 196, SECTION 57 (VIPUL NAIK) Corresponding material in the book: Sections 3.2 andExecutive summary Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Algebra Mathematics Linear algebra Linear independence Row and column spaces Linear subspace Rank Kernel Vector space Basis Linear combination Linear map
70	MAXIMUM AND MINIMUM VALUES: EXAMPLES MATH 195, SECTION 59 (VIPUL NAIK) What students should hopefully get: The description of critical points, local extreme values, and absolute extreme values for additively separable fu Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Mathematical analysis Mathematics Analysis Multivariable calculus Differential calculus Mathematical optimization Convex analysis Quasiconvex function Convex function Derivative test Critical point Maxima and minima

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