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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++. You ...more
This course is a first-semester freshman physics class in Newtonian Mechanics, Fluid Mechanics, and Kinetic Gas Theory. In addition to the basic concepts a variety of interesting topics are covered in this course: Binary Stars, Neutron Stars, Black Holes, Resonance Phenomena, Musical Instruments, Stellar Collapse, Supernovae, Astronomical observations from very high flying balloons (lecture 35), and you will be allowed a peek into the intr...more
This course is the second of a two-term sequence. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of Principles of Digital Communication I and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-d...more
Announcements, Recap: Branch And Bound Methods, Basic Idea, Unconstrained, Nonconvex Minimization, Lower And Upper Bound Functions, Branch And Bound Algorithm, Comment: Picture Of Branch And Bound Algorithm In R^2, Comment: Binary Tree, Example, Pruning, Convergence Analysis, Bounding Condition Number, Small Volume Implies Small Size, Mixed Boolean-Convex Problem, Solution Methods, Lower Bound Via Convex Relaxation, Upper Bounds, Branching...more
This lecture is about efficient data structures for searching in static strings. Think of the strings we're searching in as (large) files, or entire disks. First we'll see how to store a bunch of strings in linear space subject to searching for a string of length P in O(P) time, and answering predecessor queries for a string of length P in O(P + lg Σ) time, where Σ is the size of the alphabet. Then we'll see how to store one string (or mor...more
This lecture marks our full entry into integer data structures (though hashing was also one), as well as our first of three lectures on the predecessor problem: supporting insert, delete, and predecessor/successor on a set of n w-bit integers. I'll give an overview of what's known about this problem, as well as the appropriate models of computation, and then proceed to the first main result: data structures achieving O(lg w) time per opera...more
Fundamental dynamic data structures, including linear lists, queues, trees, and other linked structures; arrays strings, and hash tables. Storage management. Elementary principles of software engineering. Abstract data types. Algorithms for sorting and searching. Introduction to the Java programming language.
Rewriting RSG to Illustrate all Three Paradigms and Lambdas in Python, How Objects Are Implemented in Python, Python Dictionary Implementation, Writing an RSG Grammar in Python Using A Dictionary and Lists, Expanding the Start Terminal Using all Three Paradigms at Once, Changing the Expand Function to A Binary Function, Modifying the Map to Use A Python Lambda Function As A Result, Python Object Model From A Memory Standpoint, How Objects ...more
Review of Semaphore Syntax, Semaphoresignal and Semaphorewait, Semaphore Usage in the Multithreaded Selltickets Function (Protecting a Critical Region), Example of a Race Conditions Where Two Ticket agents Sell the Same Ticket, How the Stack and Various Registers are Saved When the Currently Running Thread Is Swapped, Another Example Using Semaphores that Models the internet, Implementations of a Reader and Writer Thread, Potential Dangers...more
The lecture begins with a question-and-answer session about black holes. Topics include the extent to which we are sure black holes exist in the center of all galaxies, how massive they are, and how we can observe them. The lecture then turns to strong-field relativity: relativistic effects that are unrelated to Newtonian theory. The possibility of testing predictions of the existence of black holes is discussed in the context of strong-fi...more
Statistical Estimation, Maximum Likelihood Estimation, Examples, Logistic Regression, (Binary) Hypothesis Testing, Scalarization, Experiment Design, D-Optimal Design
In this lecture, we'll see the best binary search tree we know, in the sense of achieving the best known competitive ratio of O(lg lg n) compared to the offline optimal. To analyze these "Tango trees", we compare against a lower bound. Specifically, we describe a Signed Greedy algorithm that, for a given access sequence, computes a number of node touches that every BST in the world must perform when given that access sequence. Indeed, the ...more
