- On the Stability of Incompressible Elastic Cylinders in Uniaxial Extension
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- Results from MathSciNet: Mathematical Reviews on the Web c Copyright American Mathematical Society 2000
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- Necessary Conditions for a Minimum at a Radial Cavitating Singularity
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- Before we continue studying the road coloring problem, we need to discuss an important event in the history of mathematics. There are two key areas of mathematics
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- We have run a some relay races and represented the races as tables. Let's find a way to represent the race mathematically.
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- This city has the following road matrices.
- Section 5: Models and Representations Next comes one of the most important parts of learning to do math
- As you know from working with the Algebra Project curriculum, one of the most important skills in mathematics is the ability to represent a problem or idea in
- Did you notice that all the scalar multiples we used so far were positive numbers? What happens when we multiply a vector by a negative number?
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- Articles in Refereed Print Journals. 1. A reduction of the problem of semisimplicity. J. Algebra 10 (1968), 501502.
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- February 2, 2012 Dear Teacher,
- User's Guide MergicTM VPN
- In our earlier discussions of the relay race, we called it a dynamical system. We said that the relay race had the two main ingredients of a dynamical system: Move-
- We now have four different representations for the road functions. We started with the arrow diagrams. Next came the road subgraphs. We also saw how each arrow was really an ordered
- Here is another story that has a mystery to solve. Section 16: Solving Another Mystery
- What features did your class think were important enough to be symbolically represented? The features that mathematicians focus on are the movements that "leave from" the buildings,
- In the last section, we found the equation of a line when we were given two points that were on the line. In that case, one of the points was always on the y-axis, so
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- Our last example showed how things can go wrong in a city, if the roads are not properly colored. The ideas in this example
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- Earlier we discussed the operations of vector addition and scalar multiplication for vectors. Now that we have chosen a basis and found coordinates for our vectors,
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- You now have some experience with mathematical representations of the road functions. The last representation we will introduce is, in
- To: Instructors of Math 282 From: Mary Wright
- ISSN 1066-369X, Russian Mathematics (Iz. VUZ), 2010, Vol. 54, No. 1, pp. 1015. c Allerton Press, Inc., 2010. A Vector Space Approach to the Road Coloring Problem
- Section 26: Associativity and Order of Operations One of the most important properties of the matrix operations
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- What is another type of operation we could perform on a vector? Well, it's easy to ask the question, "Where would we have ended up if the first leg of the race was
- Suppose we are driving somewhere. We know how fast we are traveling, and we also know how much time we have been traveling. For the purpose of this prob-
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- TRAVEL FREQUENTLY ASKED QUESTIONS Do expenses paid on a P-Card have to be listed on the Travel Expense Voucher?
- The Road Coloring Problem A.N. Trahtman
- Curriculum Vita of Gregory Budzban January 2012
- in Science & Mathematics A motivating, fun-lled conference for 5th, 6th, 7th, 8th, & 9th grade girls.10.29.11
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- Let's put the two vector operations, addition and scalar multiplication, together. Suppose we are given the two vectors v and w below. What would the vector u be
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- As we move through our high school careers in Algebra Project math classes, one of the most important ideas we will consider is how we represent mathematical ideas. A lot of the
- What other properties hold? Do you remember the other properties that we stud-ied when we were considering road matrices and the integers? They were associa-
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- Section 19: Some Function Notation As we have seen in our discussion about functions, there
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- NON-TECHNICAL CALCULUS MATH 110 -Fall 2008
- We are all familiar with the operations of arithmetic: addition, subtraction, multiplication, and division. Mathematicians call them binary operations
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- October 3, 2011 Dear Mathematics Teacher
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- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE DEPARTMENT OF MATHEMATICS
- Section 21: Some More Function Notation As we have seen in our discussion about functions, there
- SOUTHERN ILLINOIS UNIVERSITY CARBONDALE DEPARTMENT OF MATHEMATICS
- Section 21: More about Prediction Racing Against Time198
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- The math we use comes from many different sources. Sometimes math comes from practical problems, like trying to build a bridge. But, sometimes math
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- In our last section, we defined a new operation for the arrow diagrams. In this section we will take advantage of the relationship between the
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- February 2, 2012 Dear Fname,
- SOUTHERN ILLINOIS UNIVERSITY CARBONDALE THE TRAVEL CONTROL BOARD
- ANNUAL REPORT of the Board of Trustees
- ANNUAL REPORT of the Board of Trustees
- There are many different aspects of mathematics in the relay race. We have con-centrated so far on the ideas contained in the vectors which represent the relay race
- Leave From Go To We'll continue our analysis of the problem by finding another representation
- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE DEPARTMENT OF MATHEMATICS
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- [A] + [B] = We have now defined two operations for matrices: One
- Department of Mathematics TUTOR LIST Spring 2012 The Mathematics Department is providing this list as a service to you. Please note that the Mathematics Department is not in any way associated with the tutors or the cost of their service. Please be
- September 14, 2011 Dear Math and Science Teachers
- Do you remember the property of having an identity element from the Trip Line and Road Coloring Units? What would the identity element be for vector addi-
- Suppose we had the first leg of the relay race given by the two ordered pairs ) = (0, -2), and (t2
- THE GENERALIZED ROAD COLORING PROBLEM AND PERIODIC DIGRAPHS
- Earlier, we started with a sequence of points, represented as position vectors, that were visited during a relay race. From this sequence of points, we determined
- In an earlier discussion, we described how important it is to notice when something doesn't change. When we added
- As we have seen in our earlier discussions in the Road Coloring unit, as soon as mathematicians have a new object to play with, they immediately want to see what
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- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE DEPARTMENT OF MATHEMATICS
- Now we will take what we have learned and apply it to a new game. Your teacher will need to set up a "screen" of some sort to hide what she or he is doing.
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- Section 28: Keeping your Identity We go through transformations in our lives all of the time.
- Section 22 : Still More Function Notation In our discussion, we've talked many times about the role that tradition plays
- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE DEPARTMENT OF MATHEMATICS
- So far, all of the math we have done with the relay race has concentrated on one team's race. But in a real race, the most important part is the positions of the dif-
- We have been working with the displacement vectors that come from the relay race, and have been drawing these vectors as arrows. We have said that a vector
- Section 11: Introduction to the TI-83 Plus Just as in everyday life in today's society, the use of technology will be a critical
- Red Matrix representation for R Leave From Go To
- Now that we've practiced adding the vectors that we get while running a relay race, we need to determine the properties of this new operation. First we need to decide
- Now we will describe our puzzle. At the start of our puzzle there will
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- Our investigations into the mysteries of equations have gotten us closer to solving our original problem. Let's remind ourselves what it was.
- September 10, 2010 Dear Math and Science Teachers
- Now that we know how to build a city, let's describe the next piece of the puzzle.
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- COLLOQUIUMMATH SIUC Reception immediately following
- The integers also satisfy the commutative
- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE DEPARTMENT OF MATHEMATICS
- Section 1: Introduction What do you know about math?
- A SAMPLE RESEARCH PAPER/THESIS/DISSERTATION ON ASPECTS OF ELEMENTARY LINEARY ALGEBRA
- Degree/Diameter Insight and Outlook of the
- Section 2: Representing Race Information ou know by now, from working with the Trip Line and Road Coloring
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- Racing Against Time Section 1: Racing Against Time
- Leave From Go To One easy representation that gives us the same information
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- We can use the TI-83 to multiply road matrices and check our calculations when we compose functions.
- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE DEPARTMENT OF MATHEMATICS
- SOUTHERN ILLINOIS UNIVERSITY AT CARBONDALE MATHEMATICS DEPARTMENT
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- The Trip Line A module in the Algebra Project high school curriculum