Revision
... range of h(x) (i.e. above the x-axis) becomes negative, and each point in the negative part of the range of h(x) becomes positive. Since zero has no opposite, h(x) = 0 and -h(x) = 0 are the same on both graphs. Comparing the graphs of h(x) and h(-x) also reveals a reflection: this time the graphs ar ...
... range of h(x) (i.e. above the x-axis) becomes negative, and each point in the negative part of the range of h(x) becomes positive. Since zero has no opposite, h(x) = 0 and -h(x) = 0 are the same on both graphs. Comparing the graphs of h(x) and h(-x) also reveals a reflection: this time the graphs ar ...
The discrete charm of nonlinearity: solitary waves in non-integrable lattices
... Anna Vainchtein, [email protected] The discrete charm of nonlinearity: solitary waves in non-integrable lattices The interplay between discreteness and nonlinearity in many physical systems leads to the formation of solitary waves. For example, such waves were experimentally observed in granular materia ...
... Anna Vainchtein, [email protected] The discrete charm of nonlinearity: solitary waves in non-integrable lattices The interplay between discreteness and nonlinearity in many physical systems leads to the formation of solitary waves. For example, such waves were experimentally observed in granular materia ...
1 - Personal Web Pages
... 1. Call a set of positive numbers a “phancy set” if the product of any two integers in the set is one less than a perfect square. What is the least possible value for n such that {4, 6, n} is a phancy set? ...
... 1. Call a set of positive numbers a “phancy set” if the product of any two integers in the set is one less than a perfect square. What is the least possible value for n such that {4, 6, n} is a phancy set? ...
Lecture 1: Introduction to complex algebra
... 2. Complex numbers: basic properties I shall now present the basic properties of our complex number system in a series of simple propositions. It is an excellent excercise (see Problem set 1) for you to prove them, using only the information provided thus far. The “Laws of Algebra” enumerated in Se ...
... 2. Complex numbers: basic properties I shall now present the basic properties of our complex number system in a series of simple propositions. It is an excellent excercise (see Problem set 1) for you to prove them, using only the information provided thus far. The “Laws of Algebra” enumerated in Se ...
Dowload File - Industrial Engineering Department EMU-DAU
... The functions f(X) and g(X), i = 1,2, ... , m, are twice continuously differentiable. The idea of using constrained derivatives is to develop a closed-form expression for the first partial derivatives of f(X) at all points that satisfy the constraints g(X) = O. This corresponding stationary points a ...
... The functions f(X) and g(X), i = 1,2, ... , m, are twice continuously differentiable. The idea of using constrained derivatives is to develop a closed-form expression for the first partial derivatives of f(X) at all points that satisfy the constraints g(X) = O. This corresponding stationary points a ...
Test Unit 2 Answers - hhs
... h(t ) 5t 2 15t 90 gives the height of the golf ball above the water, where h(t) is the height in metres and t is the time in seconds. When will the ball hit the water? You must show an algebraic solution using what we have learned in this unit. [4] APP ...
... h(t ) 5t 2 15t 90 gives the height of the golf ball above the water, where h(t) is the height in metres and t is the time in seconds. When will the ball hit the water? You must show an algebraic solution using what we have learned in this unit. [4] APP ...
Chapter Two 2.3
... largest set of real numbers for which the value of f(x) is a real number. Exclude from a function’s domain real numbers that cause division by zero. Exclude from a function’s domain real numbers that result in a square root of a negative number. ...
... largest set of real numbers for which the value of f(x) is a real number. Exclude from a function’s domain real numbers that cause division by zero. Exclude from a function’s domain real numbers that result in a square root of a negative number. ...
Download T3000 Datasheet
... delays. The output relays are normally energized output relays. The output relay for under frequency is activated at frequencies higher than the preset value, while the output relay for over frequency is activated at frequencies lower than the preset value. This means that both output relays are act ...
... delays. The output relays are normally energized output relays. The output relay for under frequency is activated at frequencies higher than the preset value, while the output relay for over frequency is activated at frequencies lower than the preset value. This means that both output relays are act ...
Introduction - Computer Science
... Why Discrete Math? Design efficient computer systems. •How did Google manage to build a fast search engine? •What is the foundation of internet security? ...
... Why Discrete Math? Design efficient computer systems. •How did Google manage to build a fast search engine? •What is the foundation of internet security? ...
exponential and logarithm functions and derivatives: 1.logarithms
... 2.exponential functions: a-The exponential function with positive base a > 1 is the ...
... 2.exponential functions: a-The exponential function with positive base a > 1 is the ...
Unit 1 Post Test A Answers
... c. Write the equation of the line parallel to the one you found in part (b) passing through (6, 1) d. Write the equation of the line perpendicular to the one you found in part (b) passing through (6, 1) e. Graph the equation of the line you found in part (b). ...
... c. Write the equation of the line parallel to the one you found in part (b) passing through (6, 1) d. Write the equation of the line perpendicular to the one you found in part (b) passing through (6, 1) e. Graph the equation of the line you found in part (b). ...
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.