University Of North Carolina - Chapel Hill
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lecture notes from lesson 5
lecture notes from lesson 4
lecture notes from lesson 3
Lecture notes from lesson 2
Full, detailed notes from BIOL 103: Hows cells function. Includes all information from GRQs as well as notes from every lecture and practice test questions taken from lecture and other sources.
Discover how algorithms, with their fixed instructions, can solve problems of any size, empowering you to tackle complex challenges. Learn how these languages bridge the gap between our comprehension and the machine's language. Explore syntax rules, punctuation, spacing, and naming conventions that shape the structure of your code. Unleash the power of semantics, understanding the intended effect of each line of code.
This document are notes for comp 110 lesson 1 with an overall take away and in depth details. An overview of the components and interactions in a computer system. Describes the flow of interaction from hardware to user space processes.
Introduce and provide proof for compact sets, that is a set that is both bounded and closed, hence the Heine-Borel theorem. Then introduce the perfect set, the connected/disconnected sets, and lastly the canter set, write proofs for all three.
Continue introducing the different parts to the topology of R, from the epsilon neighborhood of a, to open subsets of R, isolated points and limit points of A, then closed sets. Proof these different fundamentals of topology.
Finish the lecture on sequences and the convergence of Cauchy. Then introduce the topology of R and in it the epsilon neighborhood of a in R. Define open sets, limit points, isolated points, and closed subsets.