
Solution
... In the following, use either a direct proof (by giving values for c and n0 in the definition of big-Oh notation) or cite one of the rules given in the book or in the lecture slides. (a) Show that if f(n) is O(g(n)) and d(n) is O(h(n)), then f(n)+d(n) is O(g(n)+ h(n)). Solution Recall the de_nition o ...
... In the following, use either a direct proof (by giving values for c and n0 in the definition of big-Oh notation) or cite one of the rules given in the book or in the lecture slides. (a) Show that if f(n) is O(g(n)) and d(n) is O(h(n)), then f(n)+d(n) is O(g(n)+ h(n)). Solution Recall the de_nition o ...
PDF
... hypothesis-testing questions [14], [16], [17]. Furthermore, the Rényi entropy and the Rényi entropy rate have revealed several operational characterizations in the problem of fixed-length source coding [7], [6], variable-length source coding [4], [5], [13], [19], error exponent calculations [8], and ...
... hypothesis-testing questions [14], [16], [17]. Furthermore, the Rényi entropy and the Rényi entropy rate have revealed several operational characterizations in the problem of fixed-length source coding [7], [6], variable-length source coding [4], [5], [13], [19], error exponent calculations [8], and ...
Lesson 3
... When a cubic is divided by a linear expression, the quotient is a quadratic and the remainder, if any, is a constant. Let the quotient by ax² + bx + c Let the remainder be d. 2x³ + 3x² - x + 1 = (x + 2)(ax² + bx + c) + d ...
... When a cubic is divided by a linear expression, the quotient is a quadratic and the remainder, if any, is a constant. Let the quotient by ax² + bx + c Let the remainder be d. 2x³ + 3x² - x + 1 = (x + 2)(ax² + bx + c) + d ...
slides (PowerPoint)
... The two specific forms for the zeta function (infinite series and Euler product) are intrinsically incomplete due to the fact that they are only defined for s > 1. In fact, both the series and product blow up for s 1 . This is a problem, because a central property of the zeta function is its set o ...
... The two specific forms for the zeta function (infinite series and Euler product) are intrinsically incomplete due to the fact that they are only defined for s > 1. In fact, both the series and product blow up for s 1 . This is a problem, because a central property of the zeta function is its set o ...