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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: 3,229
    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: 3,456
    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: 1,737
    January 27th, 2012, 23:00 Go to last post
  1. Normal Thread Normal Threads

  2. Why does this relation stand?

    Started by evinda, November 13th, 2014 06:43
    • Replies: 9
    • Views: 676
    January 23rd, 2015, 01:37 Go to last post
  3. Cardinality of continuous real functions

    Started by evinda, January 22nd, 2015 14:53
    continuous, functions, mathbbr, real, show
    • Replies: 5
    • Views: 517
    January 22nd, 2015, 17:15 Go to last post
  4. 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: 426
    January 22nd, 2015, 14:19 Go to last post
  5. Cardinality of set

    Started by evinda, January 21st, 2015 19:10
    a_n, cup, omega, sim, text
    • Replies: 1
    • Views: 389
    January 21st, 2015, 20:04 Go to last post
  6. Property of cardinal numbers

    Started by evinda, January 21st, 2015 19:25
    cardinal, cdot, numbers, p$$, prove
    • Replies: 0
    • Views: 262
    January 21st, 2015, 19:25 Go to last post
  7. [a,b) and (a,b) are equinumerous

    Started by evinda, January 20th, 2015 20:17
    $[a, equinumerous, find, thinking
    • Replies: 4
    • Views: 528
    January 21st, 2015, 17:00 Go to last post
  8. The set {0,1}^ω is not countable

    Started by evinda, January 20th, 2015 18:15
    1^omega$, infinite, omega, set
    • Replies: 3
    • Views: 550
    January 21st, 2015, 16:57 Go to last post
  9. Example - Generalized Union

    Started by evinda, January 21st, 2015 11:19
    omega, omega$, oversettext, sequence, surjective
    • Replies: 2
    • Views: 519
    January 21st, 2015, 15:36 Go to last post
  10. [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: 378
    January 21st, 2015, 11:24 Go to last post
  11. 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: 579
    January 21st, 2015, 06:54 Go to last post
  12. The cartesian product n x m

    Started by evinda, January 17th, 2015 21:36
    bijective, cdot, function, m=n, times
    • Replies: 5
    • Views: 829
    January 20th, 2015, 20:49 Go to last post
  13. The set of integers is countable

    Started by evinda, January 20th, 2015 14:59
    $mathbbz$, countable, langle, rangle, set
    • Replies: 5
    • Views: 667
    January 20th, 2015, 18:24 Go to last post
  14. The set UA is finite

    Started by evinda, January 20th, 2015 11:18
    $a$, $bigcup, finite, set, sets
    • Replies: 6
    • Views: 564
    January 20th, 2015, 15:24 Go to last post
  15. Could the Cartesian Product be finite?

    Started by evinda, January 18th, 2015 20:45
    countable, langle, omega, surjective, times
    • Replies: 0
    • Views: 308
    January 18th, 2015, 20:45 Go to last post
  16. The set is at most countable

    Started by evinda, January 18th, 2015 17:46
    $x$, neq, omega, proof, varnothing$
    • Replies: 0
    • Views: 403
    January 18th, 2015, 17:46 Go to last post
  17. Asymptotics

    Started by evinda, January 13th, 2015 19:40
    $forall, geq, mathbbn_0$, means, show
    • Replies: 5
    • Views: 497
    January 16th, 2015, 13:54 Go to last post
  18. 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: 883
    January 13th, 2015, 18:26 Go to last post
  19. 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: 319
    January 13th, 2015, 17:36 Go to last post
  20. The set is countable

    Started by evinda, January 13th, 2015 13:22
    • Replies: 4
    • Views: 487
    January 13th, 2015, 15:33 Go to last post
  21. Properties - Multiplication

    Started by evinda, January 9th, 2015 20:18
    cdot, multiplication, omega, omega$, properties
    • Replies: 4
    • Views: 498
    January 13th, 2015, 07:33 Go to last post
  22. How can we show that h is surjective?

    Started by evinda, January 13th, 2015 06:44
    $$$$, finite, injective, rightarrow
    • Replies: 0
    • Views: 349
    January 13th, 2015, 06:44 Go to last post
  23. The intervals are equinumerous

    Started by evinda, January 10th, 2015 19:09
    2 Pages
    1 2
    equinumerous, intervals, mathbbr$, show
    • Replies: 10
    • Views: 792
    January 12th, 2015, 20:13 Go to last post
  24. Properties of natural numbers

    Started by evinda, January 9th, 2015 10:38
    2 Pages
    1 2
    natural, numbers, omega, omega$, properties
    • Replies: 16
    • Views: 924
    January 12th, 2015, 15:16 Go to last post
  25. Constitution of real numbers

    Started by evinda, January 10th, 2015 18:13
    numbers, omega$, rational, relation, set
    • Replies: 1
    • Views: 380
    January 12th, 2015, 07:58 Go to last post
  26. The subsets of finite sets are finite sets.

    Started by evinda, January 11th, 2015 09:04
    finite, function, set, sets, show
    • Replies: 0
    • Views: 417
    January 11th, 2015, 09:04 Go to last post
  27. Constitution of integers

    Started by evinda, January 9th, 2015 20:40
    3 Pages
    1 2 3
    $langle, integers, rangle
    • Replies: 28
    • Views: 1,327
    January 10th, 2015, 17:50 Go to last post
  28. 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: 874
    January 9th, 2015, 15:12 Go to last post
  29. The order I_A

    Started by evinda, December 23rd, 2014 15:04
    $a$, element, greatest, minimal, order
    • Replies: 9
    • Views: 634
    January 8th, 2015, 17:10 Go to last post
  30. Do we have to check this case?

    Started by evinda, January 7th, 2015 18:03
    $n$, i.e, natural, number, successor
    • Replies: 8
    • Views: 578
    January 8th, 2015, 14:53 Go to last post
  31. Show that a is the least

    Started by evinda, December 23rd, 2014 14:51
    show, wave
    • Replies: 2
    • Views: 464
    January 8th, 2015, 06:03 Go to last post

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