Discrete math Definition and 214 Threads

Discrete Mathematics is a biweekly peer-reviewed scientific journal in the broad area of discrete mathematics, combinatorics, graph theory, and their applications. It was established in 1971 and is published by North-Holland Publishing Company. It publishes both short notes, full length contributions, as well as survey articles. In addition, the journal publishes a number of special issues each year dedicated to a particular topic. Although originally it published articles in French and German, it now allows only English language articles. The editor-in-chief is Douglas West (University of Illinois, Urbana).

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    How Many Ways Can You Arrange a Pharmaceutical Board and Solve Math Problems?

    1) The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholder's meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members). A) 4 (Presendent, Vice Presendent, secretary, and treasurer) positions needs filled. How many...
  2. T

    Why Are These Discrete Math Problems So Challenging?

    I don't know why but these types of problems always seem to kick my butt. Any how here they are and my best guesses as to the correct answer. 1. Danny has 12 different lures in his tackle box that he takes on a five day fishing trip. On each day of the trip he fishes with the same...
  3. T

    Exploring Catalan Numbers and Pascal's Triangle

    There are a few areas I wanted to make sure I understand what is going on in with discrete math. I have a test tomorrow over these topics and so this is not exactly homework unless you count studying for a test as homework. In any case I will do my best to explain what I know or don't know and...
  4. B

    Find a: Solve Discrete Math Problem with a & x Intergers

    ok the problem is Given that a and x are intergers, a>1, a|(11x+3), a|(55x+52), find a. I am not sure how to even start this one to find a...any help please :cry:
  5. E

    Prove: |a-b|≤|a|+|b| using Definition of Absolute Value

    Prove that for any vectors a and b, |a-b| is less than or equal to |a| + |b| I'm kind of lost, b/c i can't see a case where |a-b| would actually result in a value being less than |a| + |b|. I've tried doing a proof that is similar, and when I was taught, the definition of absolute value...
  6. S

    Discrete Math Help: Is x Rational?

    Discrete Math Help! Here is the problem: Suppose a, b, and c are integers and x, y, and z are nonzero real numbers that satisfy the following equations: \dfrac{xy}{x+y}=a and \dfrac{xz}{x+z}=b and \dfrac{yz}{y+z}=c . Is x rational? If so, express it as a ratio of two integers...
  7. E

    Discrete Math: Finding Angle Between Plane & XZ Axis

    How do you find the angle between the co-ordinate axis (i.e. the xz plane) and another plane in general?
  8. D

    Geometry and Discrete Math Links

    Would anyone happen to have some links which briefly explain some of the laws in geometry and/or discrete math? At the moment, i am looking for a summary of the Properties of Circles . Thank you for being as helpful as you always are. -- ps I found MathWorld, although i can not find...
  9. A

    Discrete math problem college level question

    Suppose 2n people sit on a round table and are shaking hands in pairs. Suppose that etiquette is observed and no 2 shakes cross. Let S_n be the number of possible shaking hands arrangements of this sort. Determine S_10.
  10. A

    Discrete math problem college level question

    Suppose 2n people sit on a round table and are shaking hands in pairs. Suppose that etiquette is observed and no 2 shakes cross. Let S_n be the number of possible shaking hands arrangements of this sort. Determine S_10.
  11. S

    Discrete Math - Counting Theory

    Hexadecimal numbers are made using the sixteen digits 0 - 9, A-F. how many hexadecimal numbers are there between the hexadecimal numbers 30 and AF? There are 8 numbers between 3 and A, so I got 3 x 16, but I don't really know.
  12. agro

    Proving 0 < x < 1 -> x^2 < 1: A Discrete Math Textbook

    A Discrete Math textbook first proved that the statement: 0 < x < 1 -> x^2 < 1 is true (I have no problem following the proof). It then went to prove the contrapositive: x^2 >= 1 -> x <= 0 or x >= 1 Here's the proof: Assume x^2 >= 1. (no problem here) If x <= 0, we...
  13. P

    Is There a Surjective Function from Z+ to Z?

    Hi, Does there exist a function f: Z+ --> Z which is onto? I had been told there such funciton exists, since both Z+ and Z are countable infinite series. Thus there exists some transformation that could map Z+ to every single Z However, I still can't shake off the idea that since Z+ is...
  14. W

    Question in Discrete Math: Modular Arithmetic

    Hello, I am currently taking a course which has exercises/questions whose solutions are based on discrete mathematics. For anyone interested, the link to the course is: http://www.math.uAlberta.ca/~tlewis/222_03f/222_03f.html We are encouraged to discuss these problems with others...
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