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CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Short Answers (a) A connected planar simple graph has 5 more edges than it has vertices. How many faces does it have? (b) How many edges need to be removed from a 3-dimensional hypercube to get a tree? 2 Always, Sometimes, or Never In each […]
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EECS 70 Discrete Mathematics and Probability Theory Fall 2021 This note is partly based on Section 1.4 of “Algorithms,” by S. Dasgupta, C. Papadimitriou and U. Vazirani, McGraw-Hill, 2007. Public Key Cryptography In this note, we discuss a very nice and important application of modular arithmetic: the RSA public-key cryptosystem, named after its inventors ,
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Pandas_basics Pandas Basics¶ Copyright By PowCoder代写 加微信 powcoder import pandas as pd import numpy as np import matplotlib.pyplot as plt s = pd.Series(np.random.randn(5), index=[‘a’,’b’, ‘c’, ‘d’, ‘e’]) a 0.151601 b 0.338190 c 1.121875 d 0.213966 e 0.353676 dtype: float64 s1 = pd.Series(np.random.randn(5)) 0 1.710192 1 -0.418625 2 -0.108972 3 -0.652015 4 -0.916771 dtype: float64 a
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Overview_of_distributions Introduction to Statistics¶ Many statistical tools and techniques used in data analysis are based on probability, a measures on a scale from 0 to 1 the likelihood of an event occurence (0 the event never occurs, 1, the event always occurs.). Copyright By PowCoder代写 加微信 powcoder Variables in the columns of a data set
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CITS2002 Systems Programming 1 next ¡ú CITS2002 CITS2002 schedule Introducing arrays As programs become more complex, we notice that they require more variables, and thus more variable names to hold all necessary values. We could define: int x1, x2, x3, x4, x5….. ; but referring to them in our programs will quickly become unwieldy, and
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CITS2002 Systems Programming 1 next ¡ú CITS2002 CITS2002 schedule The structure of C programs Let’s looks at the high-level structure of a short C program, rotate.c (using ellipsis to omit some statements for now). At this stage it’s not important what the program is supposed to do. Of note in this example: Characters such as
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CITS2002 Systems Programming 1 next ¡ú CITS2002 CITS2002 schedule Organisation of File Systems A clear and obvious requirement of an operating system is the provision of a convenient, efficient, and robust filing system. The file system is used not only to store users’ programs and data, but also to support and represent significant portions of
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CITS2002 Systems Programming 1 next ¡ú CITS2002 CITS2002 schedule Introducing functions C is a procedural programming language, meaning that its primary synchronous control flow mechanism is the procedure call. C names its procedures functions (in contrast, Java has a different mechanism -methods). In Mathematics, we apply a function, such as the trigonometric functioncos, to one
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CITS2002 Systems Programming 1 next → CITS2002 CITS2002 schedule System-calls and system-defined structures Most system-calls accept integers and pointers to characters as parameters, and typically return integer values indicating their success. When more information must be passed to a system- call, or the call needs to return multiple values, we employ system-defined (C11) structures defined
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CITS2002 Systems Programming 1 next → CITS2002 CITS2002 schedule A slow introduction to pointers in C The ISO-C99 programming language has a very powerful feature for addressing and modifying memory which, for now, we’ll casually term “pointers in C”. If used correctly pointers can enable very fast, efficient, execution of C programs. If misunderstood or
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