Scaling Arguments
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Introduction to the Kawa Development Environment: Evaluation of Expressions
Stanford / Computer Science

Introduction to the Kawa Development Environment: Evaluation of Expressions, Loading Function Definitions From a .Scm File, Mapping Arbitrary Unary Functions Over Lists in Scheme Using the Map Operation, Mapping List Functions (Car, Cdr) Over Lists of Lists, Using Mapping Functions with More than One Input by Passing Multiple Lists into Map, Implementing the Unary Version of Map Using Recursion, Apply, Which Allows You to Specify a...more
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Car-Cdr Recursion Problem that Returns the Sum of Every Element in a List of Integers, How Scheme Checks Type During Run-Time Rather than Compilation, Recursive Implementation of the Fibonacci Function in Scheme, Example that Illustrates Runtime Error/Type Checking Vs. Compile-Time Error/Type Checking, Writing a Recursive Flatten Function that Removes All the Intervening Parentheses from a List, Using a Cond Structure to Branch Over the...more
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Time Transfer Property, Piecewise Constant System, Qualitative Behavior Of X(T), Stability, Eigenvectors And Diagonalization, Scaling Interpretation, Dynamic Interpretation, Invariant Sets, Summary, Markov Chain (Example)
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Professor Channing Robertson of the Stanford University Chemical Engineering Department continues his discussion on scaling by touching upon a pharmacokinetics problem.
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Professor Channing Robertson of the Stanford University Chemical Engineering Department discusses scaling, focusing on dimensionless analysis.
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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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Shift Theorem In Higher Dimensions, Shift Theorem: Result, Stretch Theorem Derivation, Stretch Theorem Result, Special Case: Scaling, Special Case: Rotation, What Reciprocal Means In Higher Dimensions (Inverse Transpose), Deltas In Higher Dimensions (Basic Properties, Scaling)
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Derivative Of A Distribution, Example: Derivative Of A Unit Step, Example: Derivative Of Sgn(X), Applications To The Fourier Transform (Using The Derivative Theorem), Caveat To Distributions: Multiplying Distributions, Distributions*Functions, Special Case: The Delta Function And Sampling, Convolution In Distributions, Special Case: Convolution When T = Delta, The Scaling Property Of Delta
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The discussion of suicide continues. A few more cases are introduced to consider circumstances under which it might be rational to end one's life, and more graphs are drawn that show relevant variations in the quality of one's life. A question is then posed about how one should make a decision about continuing or ending life, given that one cannot know the future with certainty. Finally, two quick moral arguments concerning suicide which...more
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Part 1 - Free to Choose: With humorous references to Bill Gates and Michael Jordan, Sandel introduces the libertarian notion that redistributive taxation—taxing the rich to give to the poor—is akin to forced labor. PART 2 - Who Owns Me?: Students first discuss the arguments behind redistributive taxation. If you live in a society that has a system of progressive taxation, aren’t you obligated to pay your taxes? Don’t many rich people...more
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Effect On Fourier Transform Of Shifting A Signal, Resulting Delay Formula (Shift Theorem), Effect Of Scaling The Time Signal, Stretch Theorem Formula/ Interpretation, Convolution In Context Of Fourier Transforms; Multiplying Two Signals In Frequency, Resulting Convolution Formula