PPT-Sketching as a Tool for Numerical Linear Algebra

Lectures 12 David Woodruff IBM Almaden Massive data sets Examples Internet traffic logs Financial data etc Algorithms Want nearly linear time or less Usually at the cost of a randomized approximation. Calculus Functions of single variable Limit con tinuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Cu rl Vector identities D Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and minima Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and mini ma Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and minima Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Calculus Functions of single variable Limit continuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Cu rl Vector identities Di Calculus Functions of single variable limit continuity and differentiability mean value theorems evaluation of definite and improper integrals partia l derivatives total derivative maxima and minima gradient divergence and curl vector identities dir (what is that?). What . is linear algebra? Functions and equations that arise in the "real world" often involve many tens or hundreds or thousands of variables, and one can only deal with such things by being much more organized than one typically is when treating equations and functions of a single variable. Linear algebra is essentially a ". Anne Watson. Winchester 2014. Big issues (for today). Algebra. Division. What is algebra?. What are the pre-algebraic and algebraic experiences appropriate for primary children?. ACME comments. Expectations of algebraic thinking could be based on reasoning about relations between quantities, such as patterns, structure, equivalence, . Grigory. . Yaroslavtsev. (Indiana University, Bloomington). http://grigory.us. with . Sampath. . Kannan. (U. Pennsylvania),. Elchanan. . Mossel. (MIT) and . Swagato. . Sanyal. (NUS). -Sketching. © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. Explain the importance of sketching in the engineering design process. Make simple sketches of basic shapes such as lines, circles, and ellipses. Use 3-D coordinate systems, particularly right-handed systems. Alexander G. Ororbia II. The Pennsylvania State University. IST 597: Foundations of Deep Learning. About this chapter. Not a comprehensive survey of all of linear algebra. Focused on the subset most relevant to deep learning. Michael A. Heroux. Director of Software Technology, Exascale Computing Project. Senior Scientist, Sandia National Laboratories. Numerical algorithms for . highperformance. computational science. London, UK. and . Vector Calculus . and . Calculus of several Variables. Details of the Course M - 107. Math - 107 . Vectors and Matrices (3+0) credit-hours.. 1438– 1439 . H. 2. Dr.Khawaja. Zafar . Elahi.