functional paradigm
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This lecture completes the first half of the semester by analyzing three functional groups in terms of the interaction of localized atomic or pairwise orbitals. Many key properties of biological polypeptides derive from the mixing of such localized orbitals that we associate with "resonance" of the amide group. The acidity of carboxylic acids and the aggregation of methyl lithium into solvated tetramers can be understood in analogous terms...more
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This lecture continues the discussion of the HOMO/LUMO view of chemical reactivity by focusing on ways of recognizing whether a particular HOMO should be unusually high in energy (basic), or a particular LUMO should be unusually low (acidic). The approach is illustrated with BH3, which is both acidic and basic and thus dimerizes by forming unusual "Y" bonds. The low LUMOs that make both HF and CH3F acidic are analyzed and compared underlin...more
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This lecture deals with Dante's representation of the Earthly Paradise at the summit of Mount Purgatory. The quest for freedom begun under the aegis of Cato in Purgatory I reaches its denouement at the threshold of Eden, where Virgil proclaims the freedom of the pilgrim's will (Purgatory XXVII). Left with pleasure as his guide, the pilgrim nevertheless falls short of a second Adam in his encounter with Matelda. His lingering susceptibility...more
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Professor Diamond begins this lecture with her famous discussion of the human brain, demonstrating her favorite subject with a preserved sample. She then launches into a discussion of the muscular system, starting with its general functions: movement, support, heat generation, facial expression, and protection. She discusses nomenclature for muscles and how these are impacted by the number of muscle heads, the muscle length, muscle locat...more
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Thinking Recursively, Procedural vs Functional Recursion, Fractal Code, Live Demo: Fractal Example, Another Recursive Graphic: Mondrian Art, Random Pseudo-Mondrian and the Code, Hanois Towers : Classic Recursion Example, Tower Code, Live Demo, Permutations, Permute Code, Tree of Recursive Calls
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Topics include: Advanced memory management features of C and C++; the differences between imperative and object-oriented paradigms; the functional paradigm (using LISP) and concurrent programming (using C and C++); brief survey of other modern languages such as Python, Objective C, and C#. Prerequisites: Programming and problem solving at the Programming Abstractions level. Prospective students should know a reasonable amount of C++. Yo...more
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Introduction to programming and computer science. This course exposes students to techniques of abstraction at several levels: (a) within a programming language, using higher-order functions, manifest types, data-directed programming, and message-passing; (b) between programming languages, using functional and rule-based languages as examples. It also relates these techniques to the practical problems of implementation of languages and alg...more
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Stumbled Upon: 'I'terator, Common Mistakes Stumbled Upon: Concatenating Strings, Solving Problems Recursively, Functional Recursion, Example of Recursion: Calculating Raise to Power, Demo of "Raise to the Power Example" Through Live Coding, Mechanics of What s Going to Happen in Recursion, More Efficient Recursion, Being Wary of Too Many Base Cases, Recursion & Efficiency, Example: Palindromes, Example: Binary Search, Binary Search Code W...more
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Scheme Memory Model - How Scheme Instructions Synthesize Linked Lists Behind the Scenes and Perform Operations on Them, Two Different Ways of Laying Out A List In Memory, One With Memory Aliasing and One Without, The Scheme Equivalent of "..." (Functions With Multiple Arguments), Writing A Generic Map Function, Modifying the Unary-Map Function to Handle Multiple Arguments By Adding A . to the List of Arguments, Extending Unary-Map to An N-...more
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Multinomial Event Model, Non-linear Classifiers, Neural Network, Applications of Neural Network, Intuitions about Support Vector Machine (SVM), Notation for SVM, Functional and Geometric Margins
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The functional anatomy of the human body as revealed by gross and microscopic examination.
