'Chain rule' presentation slideshows

Higher Unit 3

Higher Unit 3. Differentiation The Chain Rule. Further Differentiation Trig Functions. Further Integration . Integrating Trig Functions. The Chain Rule for Differentiating. To differentiate composite functions (such as functions with brackets in them) we can use:.

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VECTOR CALCULUS

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Mathematical Foundations

Mathematical Foundations. Elementary Probability Theory Essential Information Theory. Motivations . Statistical NLP aims to do statistical inference for the field of NL

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Logic Proofs

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Knowledge and Uncertainty

Knowledge and Uncertainty. CS 271: Fall 2007 Instructor: Padhraic Smyth. Logistics. Remaining lectures 2 on uncertainty/Bayesian networks (including today) 2 on machine learning No lecture on Tuesday Dec 4 th (out of town) Homeworks

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Mathematical Morphology - Set-theoretic representation for binary shapes

Mathematical Morphology - Set-theoretic representation for binary shapes . Qigong Zheng Language and Media Processing Lab Center for Automation Research University of Maryland College Park October 31, 2000. What is the mathematical morphology ?.

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Sinusoidal functions

Differentiation. Derivatives and differentials. Products and quotients. Power rule. Chain rule. Sinusoidal functions. Slope and derivative. 0. Differentials are not numbers. +5. +4. +3. +2. +1. 0. -1. -2.

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Lesson 5-3b

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Bayesian networks

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Further Differentiation and Integration

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Identifying Conditional Independencies in Bayes Nets

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Chapter 3 Additional Derivative Topics

Chapter 3 Additional Derivative Topics. Section 4 The Chain Rule. Learning Objectives for Section 3.4 The Chain Rule. The student will be able to form the composition of two functions. The student will be able to apply the general power rule.

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3.9: Derivatives of Exponential and Logarithmic Functions

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. Mt. Rushmore, South Dakota. 3.9: Derivatives of Exponential and Logarithmic Functions. Look at the graph of . If we assume this to be true, then:. The slope at x=0 appears to be 1. definition of derivative.

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A Hybrid Algorithm to Compute Marginal and Joint Beliefs in Bayesian Networks and its complexity

Mark Bloemeke Artificial Intelligence Laboratory University of South Carolina. Marco Valtorta Artificial Intelligence Laboratory University of South Carolina. A Hybrid Algorithm to Compute Marginal and Joint Beliefs in Bayesian Networks and its complexity. Presentation by. Instructor.

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Integration by Parts

Integration by Parts. Method of Substitution Related to the chain rule Integration by Parts Related to the product rule More complex to implement than the Method of Substitution. Derivation of Integration by Parts Formula. Let u and v be differentiable functions of x .

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Rules for Differentiating Univariate Functions

Rules for Differentiating Univariate Functions. Given a univariate function that is both continuous and smooth throughout, it is possible to determine its derivative by applying one or more of the specific rules of differentiation outlined in the following.

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One Form

One Form. Map F Goes from manifold M ? R All points in M go to R Smooth, i.e. differentiable. Function f ( x, y ) Map U ? R Open set U ? M Region U is diffeomorphic to E 2 (or E n ). Scalar Field. One-Form. The scalar field F is differentiable.

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4.4 The Fundamental Theorem of Calculus

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