Applications Of Chemical Engineering
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Problems with Ownership of Memory, How Default Implementation of Stackdispose Does Not Free Dynamically Allocated Data, Adding a Free Function to the Stack Implementation, Rewriting Stackdispose to Incorporate It, Writing a Free Function for a Stack of C-Strings, Pitfalls When Writing Such Functions, C Library Functions for Assignment 3 - Memmove (Memcpy That Can Copy Using Two Regions That Overlap), Example of Rotate Function, C Qsort...more
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Preprocessing Commands - #Define as a Glorified Find and Replace, Preprocessing Macros - Preprocessor Commands With Arguments, Example of Macro Usage in the Vector assignment to Calculate the Address of the Nth Element, Assert Macro Implementation, How Asserts are Stripped Out for the Final Product Using #Ifdef and #Define, C Macro Drawbacks When Given More Complex Arguments, #Include as a Search and Replace Operation, Vs. " ", Output...more
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Stochastic Programming, Variations (Of Stochastic Programming), Expected Value Of A Convex Function, Example: Expected Value Of Piecewise Linear Function, On-Line Learning And Adaptive Signal Processing, Example: Mean-Absolute Error Minimization, Localization And Cutting-Plane Methods, Cutting-Plane Oracle, Neutral And Deep Cuts, Unconstrained Minimization, Deep Cut For Unconstrained Minimization, Feasibility Problem, Inequality...more
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Recap: Conjugate Gradient Method, Recap: Krylov Subspace, Spectral Analysis Of Krylov Sequence, A Bound On Convergence Rate, Convergence, Residual Convergence, CG Algorithm, Efficient Matrix-Vector Multiply, Shifting, Preconditioned Conjugate Gradient Algorithm, Choice Of Preconditioner, CG Summary, Truncated Newton Method, Approximate Or Inexact Newton Methods, CG Initialization, Hessian And Gradient, Methods, Convergence Versus...more
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Client Use of Templates, Vector Class, Vector Client Interface, Client Use of Vector, Type-safety in Templates, Grid Class, Grid Client Interface, Client Use of Grid, Stack Class, Stack Client Interface, Queue Class, Queue Client Interface, Client Use of Queue, Nested Templates, Learning a New API, CS106B Library Documentation
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Guest Lecturer: Sasha Rush, Haskell History, Safeguards in Haskell that Avoid Runtime Errors, Expressive Functions in Haskell, Speed of Haskell, Haskell Fibonacci Sequence in One Line Using Lazy Evaluation, How Lazy Evaluation Allows if Statements, Haskell Types, User-defined Data Types, Representing the Null Type in Haskell, List Types, Strings as Lists and Recursive Type Definitions, List Functions and Pattern Matching, Type Variables...more
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Wrapping Up Fourier Series; Making Sense Of Infinite Sums And Convergence, Integrability Of A Function (Implies Existence Of Fourier Coefficients, Convergence), Orthogonality Of Complex Exponentials (Review), The Inner Product, Norm Of F Related To The Inner Product (+ Pythagorean Theorem), Complex Exponentials As Orthonormal Functions, Fourier Coefficients As Projections Onto Complex Exponentials, Rayleigh's Identity, Application Of...more
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Integer Stack Implementation - Constructor and Destructor, Stackpush Implementation, Reallocation of Memory when Stack Grows Too Big Using Realloc, How Memory is Copied Using Realloc, Stackpop Implementation, Reimplementing the Stack Interface as a Generic Data Structure, Generic Implementation of StackNew, Generic Implentation of Stackpush Using Memcpy, Stackgrow Implementation, Static (Internal) Functions, Generic Stackpop...more
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Approaching The Higher Dimensional Fourier Transform, Notation: Thinking In Terms Of Vectors, Definition Of The Higher Dimensional Fourier Transform, Inverse Fourier Transform, Reciprocal Relationship Between Spatial And Frequency Domain, One Dimensional Case: Reciprocal Relationship, 2-D Case: Visualizing Higher Dimensional Complex Exponentials, Results: Visualizing 2-D Complex Exponentials
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Sequential Convex Programming, Methods For Nonconvex Optimization Problems, Sequential Convex Programming (SCP), Basic Idea Of SCP, Trust Region, Affine And Convex Approximations Via Taylor Expansions, Particle Method, Fitting Affine Or Quadratic Functions To Data, Quasi-Linearization, Example (Nonconvex QP), Lower Bound Via Lagrange Dual, Exact Penalty Formulation, Trust Region Update, Nonlinear Optimal Control, Discretization, SCP...more
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Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions, Example Of Periodizing A Signal, Discussion Of How To Model Signals With Sinusoids, "One Period, Many Frequencies" Idea In Modeling Signals, Modeling A Signal As The Sum Of Modified Sinusoids (Formula), Complex Exponential Notation, Symmetry Property Of The Complex Coefficients In The Fourier Series, Discussion Of The Generality Of The Fourier Series...more
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Introduction to Lecture's material - Searching, Sorting and Algorithmic Efficiency, Searching, Linear Search, Efficiency of Linear Search, Binary Search, Efficiency of Binary Search, Comparing Search Efficiencies, Sorting, The Selection Sort Algorithm, Efficiency of Selection Sort, The Radix Sort Algorithm
