'Partial sum' diaporamas de présentation

2.3 Sequences & Series

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2.3 Sequences & Series

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Parallelizing Applications With a Reduction Based Framework on Multi-Core Clusters

Venkatram Ramanathan. Parallelizing Applications With a Reduction Based Framework on Multi-Core Clusters. Motivation Evolution of Multi-Core Machines and the challenges Summary of Contributions Background: MapReduce and FREERIDE Wavelet Transform On FREERIDE Co-clustering on FREERIDE

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Chapter 20 The STL (containers, iterators, and algorithms)

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Convergence of Fourier Series

Convergence of Fourier Series. Can we get Fourier Series representation for all periodic signals. I.e. are the coefficients from eqn 3.39 finite or in other words the integrals do not diverge.

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Ch.4 Fourier Analysis of Discrete-Time Signals

Ch.4 Fourier Analysis of Discrete-Time Signals. Kamen and Heck. 4.1 Discrete-Time Fourier Transform. X( ?) = ? n=-?,? x[n] e -j?n ( Eq. 4.1) Complex valued function of real variable ?, the frequency.

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Bellwork

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Integral test

Integral test. Let { a n } be a sequence of positive terms and f ( x ) be a continuous function such that f ( n ) = a n for all n > 0, and f ( x ) is decreasing on [0, ? ) f ( x ) ? 0 as n ? ? , then . 1 2 3 4 5 6 7 8 9.

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Calculus II (MAT 146) Dr. Day Wednes day November 20, 2013

Calculus II (MAT 146) Dr. Day Wednes day November 20, 2013. Transforming Series into Functions Power Series Coefficients Applying the Ratio Test to Power Series Radius of Convergence Interval of Convergence Assignments and Announcements. Use the Ratio Test to Determine Convergence.

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Welcome to Everyday Math

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13.3 Arithmetic and Geometric Series and Their Sums

13.3 Arithmetic and Geometric Series and Their Sums. Finite Series. An arithmetic series is the sum of an arithmetic sequence. A geometric series is the sum of a geometric sequence. There are other types of series, but you're unlikely to work with them until you're in calculus. .

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Taylor Series

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Honors Precalculus : Do Now

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Summation Notation

Summation Notation. Summation notation: a way to show the operation of adding a series of values related by an algebraic expression or formula. The symbol for summation is the Greek letter Sigma, S. Upper limit. Algebraic expression.

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9.2 Series and Convergence

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Nth term & Alternating Series

Nth term & Alternating Series. Dean Lee & Jenny Park AP Calculus BC G Block 9/2/2011. Practice Problems. Does the series converge? . 1. 2 . (Harmonic Series). 3 . Nth term Test. Requirement for convergence of a series nth term approaches 0 as n -> infinity

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Find the common difference of the arithmetic sequence 4, 7, 10, 13, ... Select the correct answer.

Find the common difference of the arithmetic sequence 4, 7, 10, 13, ... Select the correct answer. 3 4 7 1. Find the n -th term of the arithmetic sequence. 4, 4 + s , 4 + 2 s , 4 + 3 s , ... Select the correct answer. 4 + s ( n - 1) 4 + sn s + 4( n - 1) s + 4 n.

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Fourier Series Example

Fourier Series Example. 100 terms. Five terms. Real function. Three terms. Gibbs Phenomenon.

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