REU 2006 · Discrete Math · Lecture 2
... Now, what about Pr(gcd(x, y) = 1), for “random” x, y ∈ N. It is ≤ 3/4 = (1 − 41 ), since we have the probabilities Pr(2|x) = Pr(2|y) = 21 . Similarly, there is an 8/9 chance that they are not both multiples of 3. The important question is: Are these two events independent? If they are independent t ...
... Now, what about Pr(gcd(x, y) = 1), for “random” x, y ∈ N. It is ≤ 3/4 = (1 − 41 ), since we have the probabilities Pr(2|x) = Pr(2|y) = 21 . Similarly, there is an 8/9 chance that they are not both multiples of 3. The important question is: Are these two events independent? If they are independent t ...
4.2 Critical Points and Extreme Values
... Critical points • A number a in the domain of a given function f(x) is called a critical point of f(x) if f '(a) = 0 or f ’(x) is undefined at x = a. ...
... Critical points • A number a in the domain of a given function f(x) is called a critical point of f(x) if f '(a) = 0 or f ’(x) is undefined at x = a. ...
R u t c o r Research Learning on finite metric spaces
... introduced, and in [4, 5], related ideas were developed to explore the performance of hybrid classifiers based on unions of boxes and a nearest-neighbor paradigm. In this paper, we consider how a similar approach might be taken to the situation in which classifiers map from some finite metric space ...
... introduced, and in [4, 5], related ideas were developed to explore the performance of hybrid classifiers based on unions of boxes and a nearest-neighbor paradigm. In this paper, we consider how a similar approach might be taken to the situation in which classifiers map from some finite metric space ...
SBB4089Z 数据资料DataSheet下载
... Test Conditions: VD =5V ID =80mA Typ. OIP3 Tone Spacing=1MHz, POUT per tone=0dBm TL =25°C, ZS =ZL =50, Tested with Bias Tees ...
... Test Conditions: VD =5V ID =80mA Typ. OIP3 Tone Spacing=1MHz, POUT per tone=0dBm TL =25°C, ZS =ZL =50, Tested with Bias Tees ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.