from sets to functions: three elementary examples
... where V(V) is the number of blocks of r. Collecting all terms such that the value of ~47~)= k in formula (3 2) immediately yields (3.1). The inverse connection formula corresponding to (3.1) is (x), = ...
... where V(V) is the number of blocks of r. Collecting all terms such that the value of ~47~)= k in formula (3 2) immediately yields (3.1). The inverse connection formula corresponding to (3.1) is (x), = ...
Digital properties of prime numbers
... Remark 2 Our approach can be summarized in a few steps: 1. A first step is reducing the problem to an exponential sum. 2. Then we remove some digits, namely the upper range and the lower range, using Van der Corput’s inequality, and this leads to focus on the digits in the middle range only. 3. Sep ...
... Remark 2 Our approach can be summarized in a few steps: 1. A first step is reducing the problem to an exponential sum. 2. Then we remove some digits, namely the upper range and the lower range, using Van der Corput’s inequality, and this leads to focus on the digits in the middle range only. 3. Sep ...
Assignment 2
... 4. A deck of 100 cards-numbered 1,2,…,100 is shuffled and then turned over one card at a time. Say that a “hit” occurs whenever card i is the ith card to be turned over, i = 1,2,…,100. Write a simulation program to estimate the expectation and variance of the total number of hits. Run the program, F ...
... 4. A deck of 100 cards-numbered 1,2,…,100 is shuffled and then turned over one card at a time. Say that a “hit” occurs whenever card i is the ith card to be turned over, i = 1,2,…,100. Write a simulation program to estimate the expectation and variance of the total number of hits. Run the program, F ...
Midterm Test - NUS Physics Department
... compute (A B) C [that is, cross product of A and B with dot product of C]; (d) Find the numerical roots of equation 1 + x + x2; (e) Plot sin(x) for x in [0,pi]. 3. Define a MATLAB function stat() that takes a matrix A and returns 4 numbers, its mean (average), variance, maximum, and the index of ...
... compute (A B) C [that is, cross product of A and B with dot product of C]; (d) Find the numerical roots of equation 1 + x + x2; (e) Plot sin(x) for x in [0,pi]. 3. Define a MATLAB function stat() that takes a matrix A and returns 4 numbers, its mean (average), variance, maximum, and the index of ...
![[2013 question paper]](http://s1.studyres.com/store/data/008844914_1-fdd71aa622fa0ea68704ae0c1d1e6636-300x300.png)
[2013 question paper]
... To get credit, you have to tick all correct answers and not tick any incorrect answer. There is no partial credit and there are no negative marks. 1. Let f (x) = x cos x for x ∈ R. Then (A) there is a sequence xn → −∞ such that f (xn ) → 0. (B) There is a sequence xn → ∞ such that f (xn ) → ∞. (C) t ...
... To get credit, you have to tick all correct answers and not tick any incorrect answer. There is no partial credit and there are no negative marks. 1. Let f (x) = x cos x for x ∈ R. Then (A) there is a sequence xn → −∞ such that f (xn ) → 0. (B) There is a sequence xn → ∞ such that f (xn ) → ∞. (C) t ...
One-Way Between-Subjects Analysis of Variance (ANOVA)
... Total Sums of Squares (SStotal) Error Sums of Squares (SSerror) Group (between) Sums of Squares (SSbetween) Total degrees of freedom (dftotal) Error degrees of freedom (dferror) Group degrees of freedom (dfbetween) ...
... Total Sums of Squares (SStotal) Error Sums of Squares (SSerror) Group (between) Sums of Squares (SSbetween) Total degrees of freedom (dftotal) Error degrees of freedom (dferror) Group degrees of freedom (dfbetween) ...
Homework #5 - Bryn Mawr College
... Probability density function pX(k) = P(X=k) if X is discrete f(y) if X is continuous use either form to get probabilities of events defined in terms of X Cumulative distribution function (cdf) for a random variable The cdf for a random variable is the function F defined by F(a) = P ( X a ) for all ...
... Probability density function pX(k) = P(X=k) if X is discrete f(y) if X is continuous use either form to get probabilities of events defined in terms of X Cumulative distribution function (cdf) for a random variable The cdf for a random variable is the function F defined by F(a) = P ( X a ) for all ...
Math/CS 466/666 Lecture 06 The Quadratic Equation Made Difficult
... As a final note, depending on the programming language, complier, and compiler optimizations used, a stopping condition that depends on an exact equality like the one used in Example 5d can sometimes fail to work properly. Suppose a and b are stored as double precision floating point numbers and tha ...
... As a final note, depending on the programming language, complier, and compiler optimizations used, a stopping condition that depends on an exact equality like the one used in Example 5d can sometimes fail to work properly. Suppose a and b are stored as double precision floating point numbers and tha ...
