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Forum: Discrete Mathematics, Set Theory, and Logic

Discrete Math, Graph Theory, Combinatorics, Recurrence Relations (Difference Equations), Set Theory, General and Symbolic Logic

  1. Sticky Thread Sticky Threads

  2. Sticky Thread Difference equation tutorial: draft of part II

    Started by chisigma, April 15th, 2012 12:32
    • Replies: 2
    • Views: 3,179
    March 2nd, 2013, 05:47 Go to last post
  3. Sticky Thread Difference equation tutorial: draft of part I

    Started by chisigma, March 2nd, 2012 12:37
    • Replies: 3
    • Views: 3,390
    March 6th, 2012, 03:02 Go to last post
  4. Sticky Thread Please Read Before Posting Logic Questions

    Started by Ackbach, January 27th, 2012 23:00
    • Replies: 0
    • Views: 1,719
    January 27th, 2012, 23:00 Go to last post
  1. Normal Thread Normal Threads

  2. Cardinality of continuous real functions

    Started by evinda, January 22nd, 2015 14:53
    continuous, functions, mathbbr, real, show
    • Replies: 5
    • Views: 507
    January 22nd, 2015, 17:15 Go to last post
  3. Prove that the operations are well-defined

    Started by evinda, January 22nd, 2015 14:19
    a_1, a_2, b_1, b_2$, show
    • Replies: 0
    • Views: 410
    January 22nd, 2015, 14:19 Go to last post
  4. Cardinality of set

    Started by evinda, January 21st, 2015 19:10
    a_n, cup, omega, sim, text
    • Replies: 1
    • Views: 371
    January 21st, 2015, 20:04 Go to last post
  5. Property of cardinal numbers

    Started by evinda, January 21st, 2015 19:25
    cardinal, cdot, numbers, p$$, prove
    • Replies: 0
    • Views: 249
    January 21st, 2015, 19:25 Go to last post
  6. [a,b) and (a,b) are equinumerous

    Started by evinda, January 20th, 2015 20:17
    $[a, equinumerous, find, thinking
    • Replies: 4
    • Views: 513
    January 21st, 2015, 17:00 Go to last post
  7. The set {0,1}^ω is not countable

    Started by evinda, January 20th, 2015 18:15
    1^omega$, infinite, omega, set
    • Replies: 3
    • Views: 533
    January 21st, 2015, 16:57 Go to last post
  8. Example - Generalized Union

    Started by evinda, January 21st, 2015 11:19
    omega, omega$, oversettext, sequence, surjective
    • Replies: 2
    • Views: 485
    January 21st, 2015, 15:36 Go to last post
  9. [SOLVED] Why do we show in this way that it is not the image of the function?

    Started by evinda, January 21st, 2015 07:35
    $f$, mathcalpa$, notin, set, show
    • Replies: 1
    • Views: 368
    January 21st, 2015, 11:24 Go to last post
  10. Prove by induction that the function is injective

    Started by evinda, January 20th, 2015 18:35
    1^omega, countable, frac2b_n3^n+1$, omega, show
    • Replies: 2
    • Views: 548
    January 21st, 2015, 06:54 Go to last post
  11. The cartesian product n x m

    Started by evinda, January 17th, 2015 21:36
    bijective, cdot, function, m=n, times
    • Replies: 5
    • Views: 795
    January 20th, 2015, 20:49 Go to last post
  12. The set of integers is countable

    Started by evinda, January 20th, 2015 14:59
    $mathbbz$, countable, langle, rangle, set
    • Replies: 5
    • Views: 651
    January 20th, 2015, 18:24 Go to last post
  13. The set UA is finite

    Started by evinda, January 20th, 2015 11:18
    $a$, $bigcup, finite, set, sets
    • Replies: 6
    • Views: 535
    January 20th, 2015, 15:24 Go to last post
  14. Could the Cartesian Product be finite?

    Started by evinda, January 18th, 2015 20:45
    countable, langle, omega, surjective, times
    • Replies: 0
    • Views: 292
    January 18th, 2015, 20:45 Go to last post
  15. The set is at most countable

    Started by evinda, January 18th, 2015 17:46
    $x$, neq, omega, proof, varnothing$
    • Replies: 0
    • Views: 390
    January 18th, 2015, 17:46 Go to last post
  16. Asymptotics

    Started by evinda, January 13th, 2015 19:40
    $forall, geq, mathbbn_0$, means, show
    • Replies: 5
    • Views: 478
    January 16th, 2015, 13:54 Go to last post
  17. How can we show that the inverse is bijective?

    Started by evinda, January 13th, 2015 14:16
    2 Pages
    1 2
    $f$, bijective, neq, omega$, show
    • Replies: 14
    • Views: 852
    January 13th, 2015, 18:26 Go to last post
  18. Each subset of the natural numbers is finite or countable

    Started by evinda, January 13th, 2015 17:36
    $x$, bounded, finite, i.e, subset
    • Replies: 0
    • Views: 316
    January 13th, 2015, 17:36 Go to last post
  19. The set is countable

    Started by evinda, January 13th, 2015 13:22
    • Replies: 4
    • Views: 475
    January 13th, 2015, 15:33 Go to last post
  20. Properties - Multiplication

    Started by evinda, January 9th, 2015 20:18
    cdot, multiplication, omega, omega$, properties
    • Replies: 4
    • Views: 467
    January 13th, 2015, 07:33 Go to last post
  21. How can we show that h is surjective?

    Started by evinda, January 13th, 2015 06:44
    $$$$, finite, injective, rightarrow
    • Replies: 0
    • Views: 336
    January 13th, 2015, 06:44 Go to last post
  22. The intervals are equinumerous

    Started by evinda, January 10th, 2015 19:09
    2 Pages
    1 2
    equinumerous, intervals, mathbbr$, show
    • Replies: 10
    • Views: 759
    January 12th, 2015, 20:13 Go to last post
  23. Properties of natural numbers

    Started by evinda, January 9th, 2015 10:38
    2 Pages
    1 2
    natural, numbers, omega, omega$, properties
    • Replies: 16
    • Views: 875
    January 12th, 2015, 15:16 Go to last post
  24. Constitution of real numbers

    Started by evinda, January 10th, 2015 18:13
    numbers, omega$, rational, relation, set
    • Replies: 1
    • Views: 367
    January 12th, 2015, 07:58 Go to last post
  25. The subsets of finite sets are finite sets.

    Started by evinda, January 11th, 2015 09:04
    finite, function, set, sets, show
    • Replies: 0
    • Views: 403
    January 11th, 2015, 09:04 Go to last post
  26. Constitution of integers

    Started by evinda, January 9th, 2015 20:40
    3 Pages
    1 2 3
    $langle, integers, rangle
    • Replies: 28
    • Views: 1,271
    January 10th, 2015, 17:50 Go to last post
  27. Why does it have to be Y=ω ?

    Started by evinda, January 8th, 2015 17:46
    2 Pages
    1 2
    neq, omega, omega$, subset, varnothing$
    • Replies: 18
    • Views: 839
    January 9th, 2015, 15:12 Go to last post
  28. The order I_A

    Started by evinda, December 23rd, 2014 15:04
    $a$, element, greatest, minimal, order
    • Replies: 9
    • Views: 621
    January 8th, 2015, 17:10 Go to last post
  29. Do we have to check this case?

    Started by evinda, January 7th, 2015 18:03
    $n$, i.e, natural, number, successor
    • Replies: 8
    • Views: 547
    January 8th, 2015, 14:53 Go to last post
  30. Show that a is the least

    Started by evinda, December 23rd, 2014 14:51
    show, wave
    • Replies: 2
    • Views: 454
    January 8th, 2015, 06:03 Go to last post
  31. Propositions

    Started by evinda, December 17th, 2014 17:23
    holds, leftrightarrow, leq, numbers
    • Replies: 3
    • Views: 517
    January 7th, 2015, 19:13 Go to last post

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