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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: 3,118
    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: 3,356
    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: 1,699
    January 27th, 2012, 23:00 Go to last post
  1. Normal Thread Normal Threads

  2. [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: 357
    January 21st, 2015, 11:24 Go to last post
  3. 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: 522
    January 21st, 2015, 06:54 Go to last post
  4. The cartesian product n x m

    Started by evinda, January 17th, 2015 21:36
    bijective, cdot, function, m=n, times
    • Replies: 5
    • Views: 763
    January 20th, 2015, 20:49 Go to last post
  5. The set of integers is countable

    Started by evinda, January 20th, 2015 14:59
    $mathbbz$, countable, langle, rangle, set
    • Replies: 5
    • Views: 634
    January 20th, 2015, 18:24 Go to last post
  6. The set UA is finite

    Started by evinda, January 20th, 2015 11:18
    $a$, $bigcup, finite, set, sets
    • Replies: 6
    • Views: 519
    January 20th, 2015, 15:24 Go to last post
  7. Could the Cartesian Product be finite?

    Started by evinda, January 18th, 2015 20:45
    countable, langle, omega, surjective, times
    • Replies: 0
    • Views: 277
    January 18th, 2015, 20:45 Go to last post
  8. The set is at most countable

    Started by evinda, January 18th, 2015 17:46
    $x$, neq, omega, proof, varnothing$
    • Replies: 0
    • Views: 378
    January 18th, 2015, 17:46 Go to last post
  9. Asymptotics

    Started by evinda, January 13th, 2015 19:40
    $forall, geq, mathbbn_0$, means, show
    • Replies: 5
    • Views: 465
    January 16th, 2015, 13:54 Go to last post
  10. 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: 833
    January 13th, 2015, 18:26 Go to last post
  11. 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: 303
    January 13th, 2015, 17:36 Go to last post
  12. The set is countable

    Started by evinda, January 13th, 2015 13:22
    • Replies: 4
    • Views: 456
    January 13th, 2015, 15:33 Go to last post
  13. Properties - Multiplication

    Started by evinda, January 9th, 2015 20:18
    cdot, multiplication, omega, omega$, properties
    • Replies: 4
    • Views: 448
    January 13th, 2015, 07:33 Go to last post
  14. How can we show that h is surjective?

    Started by evinda, January 13th, 2015 06:44
    $$$$, finite, injective, rightarrow
    • Replies: 0
    • Views: 321
    January 13th, 2015, 06:44 Go to last post
  15. The intervals are equinumerous

    Started by evinda, January 10th, 2015 19:09
    2 Pages
    1 2
    equinumerous, intervals, mathbbr$, show
    • Replies: 10
    • Views: 731
    January 12th, 2015, 20:13 Go to last post
  16. Properties of natural numbers

    Started by evinda, January 9th, 2015 10:38
    2 Pages
    1 2
    natural, numbers, omega, omega$, properties
    • Replies: 16
    • Views: 858
    January 12th, 2015, 15:16 Go to last post
  17. Constitution of real numbers

    Started by evinda, January 10th, 2015 18:13
    numbers, omega$, rational, relation, set
    • Replies: 1
    • Views: 352
    January 12th, 2015, 07:58 Go to last post
  18. The subsets of finite sets are finite sets.

    Started by evinda, January 11th, 2015 09:04
    finite, function, set, sets, show
    • Replies: 0
    • Views: 387
    January 11th, 2015, 09:04 Go to last post
  19. Constitution of integers

    Started by evinda, January 9th, 2015 20:40
    3 Pages
    1 2 3
    $langle, integers, rangle
    • Replies: 28
    • Views: 1,243
    January 10th, 2015, 17:50 Go to last post
  20. 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: 823
    January 9th, 2015, 15:12 Go to last post
  21. The order I_A

    Started by evinda, December 23rd, 2014 15:04
    $a$, element, greatest, minimal, order
    • Replies: 9
    • Views: 594
    January 8th, 2015, 17:10 Go to last post
  22. Do we have to check this case?

    Started by evinda, January 7th, 2015 18:03
    $n$, i.e, natural, number, successor
    • Replies: 8
    • Views: 540
    January 8th, 2015, 14:53 Go to last post
  23. Show that a is the least

    Started by evinda, December 23rd, 2014 14:51
    show, wave
    • Replies: 2
    • Views: 444
    January 8th, 2015, 06:03 Go to last post
  24. Propositions

    Started by evinda, December 17th, 2014 17:23
    holds, leftrightarrow, leq, numbers
    • Replies: 3
    • Views: 496
    January 7th, 2015, 19:13 Go to last post
  25. Isn't it a non-strict total order?

    Started by evinda, January 7th, 2015 16:10
    $omega$, defines, omega^2, order, symbolized
    • Replies: 6
    • Views: 460
    January 7th, 2015, 17:50 Go to last post
  26. The relation is trichotomous

    Started by evinda, December 10th, 2014 18:10
    2 Pages
    1 2
    $t_m=omega$, lor, omega, rightarrow, subset
    • Replies: 11
    • Views: 844
    January 7th, 2015, 17:37 Go to last post
  27. Natural numbers

    Started by evinda, January 1st, 2015 15:09
    4 Pages
    1 2 3 ... 4
    natural, numbers, rightarrow, subset, subsetneq
    • Replies: 30
    • Views: 1,702
    January 7th, 2015, 12:04 Go to last post
  28. Do we have to show that the relation is irreflexive?

    Started by evinda, January 4th, 2015 20:08
    $a$, $s$, langle, order, rangle
    • Replies: 1
    • Views: 436
    January 5th, 2015, 10:03 Go to last post
  29. We cannot define an order over all the sets

    Started by evinda, December 7th, 2014 11:45
    2 Pages
    1 2
    define, order, set, sets, subset
    • Replies: 10
    • Views: 739
    January 4th, 2015, 14:15 Go to last post
  30. Prove relations

    Started by evinda, January 1st, 2015 12:55
    $d0$, div, fraced, prove, rfloor$
    • Replies: 4
    • Views: 396
    January 3rd, 2015, 14:49 Go to last post
  31. How have we concluded that X is an inductive set?

    Started by evinda, December 6th, 2014 15:27
    concluded, inductive, rightarrow, set, subset
    • Replies: 3
    • Views: 365
    January 1st, 2015, 15:28 Go to last post

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