Homework assignment 1 - Solution
1. Show that the Pauli matrices z , x and y correspond to operators
measuring the polarisation state of light in the horizontal-vertical, diagonalantidiagonal and right-lefthand circular basis, respectively. Hint: Find
the
Homework Assignment #6
23.5 Suppose that A is an invertible matrix. Show that (A rI)v = 0 implies that (A1 1r I)v = 0.
Conclude that for an invertible matrix A, r is an eigenvalue of A if and only if 1/r is an eigenvalue of
A1 .
Answer: Since A is inverti
Why Obama is Dr.Seuss
Obama is a president
To be a president you have to do well in school
School is a place where students learn
Students have been learning since Pre-K
After Pre-K comes Kindergarten
In Kindergarten you learn to read simple books
Simple
setup_map super_regions [-i -i .]
The superregions are given, with their bonus armies
reward, all separated by spaces. Odd numbers are superregion ids, even numbers are rewards.
setup_map regions [-i -i .]
The regions are given, with their parent superre
Physiological Psychology is, therefore, first
of all psychology
Wilhelm Wundt (1832-1920)
German Philosopher-Physician
Created the Academic Discipline of Psychology
Studied at the University of Leipzig
Major Contribution
Introduced the idea that mental
Networks: Fall 2016
David Easley and Eva
Tardos
Homework 5
Due 11:15am, Friday, October 28
As noted on the course home page, homework solutions must be submitted by upload to the
CMS site, at https:/cms-b.csuglab.cornell.edu/. The file you upload must be
Math 2410Q Section 1.6
Name: January 22, 2016
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1. Sketch the phase line for the differential equation 2;:— = tan(y). Identify
the equilibrium points as sinks, sources, or nodes.
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1. Four differential equations and four slopes are given below. Determine the equation that
corresponds to each slope ﬁeld.
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Math 2410Q
Section 1.5
Name: January 22, 2016
1. (a) Show that y1(t) : t2 and y2(t) : t2 + 1 are solutions to
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1 Problem. Averages Consider the plot below in which we have drawn a continuous function of time and evaluated it at the center of 10 intervals.
a) Write an expression for the average of these 10 points.
b) Generalize this expression to N points and write
1 Problem. Light source For a low light level source, the probability that a single photon is emitted in the time interval [t, t + t] is proportional to t e(t/t0 ) t, where t0 is a characteristic time scale of the emission process and t is assumed to be v
1 Problem. Going up? When a body moves a distance d along a straight line as a result of being acted on by a force of constant magnitude F in the direction of motion, then the work W done by the force is W = F d. We will generalize the denition of work to
1 Problem. Escape velocity As you know, Isaac Newton was trying to gure out how the moon goes around when an apple fell nearby. But do you know what he saw between the branches of the apple tree when he looked up? Youll gure it out. Anyway his train of th
1 Problem. Simple harmonic oscillator In this problem you will use one of the most important conservation laws in Physics, conservation of energy to calculate the period of a simple harmonic oscillator. The gure below displays a mass m, which is attached
Prelim 3 Math 1910 Calculus for Engineers
April 22, 2010
You have 90 minutes to complete this test. The test has 100 points. Calculators are not allowed. You should show
all your work, and explain where calculations are coming from. Write clearly and legi
MATH 1910: Prelim #3
Tuesday, Nov. 29th Answer the following 5 questions. Show all work. Closed book, no calculators; 1-sided (8.5 x 11) "cheat sheet" is allowed - individually and uniquely hand-written (without collaboration) - will be collected along wi
Prelim 2 Math 1910 Calculus for Engineers
April 1, 2010 You have 90 minutes to complete this test. The test has 100 points. Calculators are not allowed. You should show all your work, and explain where calculations are coming from. Write clearly and legib
Prelim 3 Math 1910 Calculus for Engineers
April 22, 2010 You have 90 minutes to complete this test. The test has 100 points. Calculators are not allowed. You should show all your work, and explain where calculations are coming from. Write clearly and legi
Prelim 1 Math 1910 Calculus for Engineers
February 23, 2010 You have 90 minutes to complete this test. The test has 100 points. Calculators are not allowed. You should show all your work, and explain where calculations are coming from. Write clearly and l
1910 - CALCULUS FOR ENGINEERS, F ALL 2011, PRELIM II
7:30-9pm, October 27, 2011.
Answer the following 5 questions.
Show all work.
Closed book, no calculators; 1-sided (8.5 x
11) cheat sheet is allowed - individually and uniquely hand-written (without coll
Prelim 1 Math 1910 Calculus for Engineers
February 23, 2010 You have 90 minutes to complete this test. The test has 100 points. Calculators are not allowed. You should show all your work, and explain where calculations are coming from. Write clearly and l
Final Exam Math 1910 Calculus for Engineers
May 17, 2010 You have 150 minutes to complete this test. The test has 150 points. Calculators are not allowed. You should show all your work, and explain where calculations are coming from. Write clearly and leg