1. Bayes' theorem describes relationship between pre test and post test probability.

2. Bayesian inference is therefore just the process of deducing properties about a population or probability distribution from data using Bayes’ theorem

3. Naïve Bayes algorithm is a supervised learning algorithm, which is based on Bayes theorem and used for solving classification problems.; It is mainly used in text classification that includes a high-dimensional training dataset.; Naïve Bayes Classifier is one of the simple and most effective Classification algorithms which helps in building the fast machine

4. Bayesian inference is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available

5. Principle of Naive Bayes Classifier: A Naive Bayes Classifier is a probabilistic machine learning model that’s used for classification task

6. Naive Bayes classifier for multivariate Bernoulli models

7. Naïve Bayes Classifier Algorithm

8. This shrinkage effect is typical of empirical Bayes analyses.

9. Hilbert's irreducibility theorem.

10. Relations between Bayes’ rule and results of regression analysis are briefly discussed.

11. A Corollary is a theorem that follows on from another theorem A Lemma is a small result (less important than a theorem)

12. The ham sandwich theorem can be proved as follows using the Borsuk–Ulam theorem.

13. Corollary : Corollary is a theorem which follows its statement from the other theorem

14. These data are necessary to estimate the relative a priori probability of possible carcinomas. Based on Bayes' theorem, the a priori probability can then be used to calculate the diagnostically relevant predictive values for immunostaining results with the chosen markers.

15. On the basis of sequential samples — employing Bayes theorem, laid down in short — the a-priori probabilities can be transformed into a-posteriori probabilities and are used for a new operational decision, that will now be termed as a continuation decision.

16. Here the Bayes risks are determined with the help of a-priori probabilities.

17. In operator algebra, the Koecher–Vinberg theorem is a reconstruction theorem for real Jordan algebras.

18. It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators.

19. The non confluent property, comparison theorem and strong comparison theorem of strong solutions are proved.

20. We now finish the theorem.

21. Conjecture is a synonym of theorem

22. 16 So, that's the divergence theorem.

23. An impossibility theorem for welfarist Axiologies

24. It uses the exact functor theorem.

25. This is the Abel–Ruffini theorem.

26. It is a special case of van Aubel's theorem and a square version of the Napoleon's theorem.

27. The inverse function theorem is not true in Fréchet spaces; a partial substitute is the Nash–Moser theorem.

28. Edmonds’ Theorem on disjoint Branchings is a classical theorem in graph theory, with many distinct existing proofs (e.g

29. This theorem was first established by Sylvester.

30. Title: An elementary proof of Apery's theorem

31. A three critical point theorem is proved.

32. 24 So, what does the divergence theorem say?

33. Apollonius's theorem is an elementary geometry theorem relating the length of a median of a triangle to the lengths of its sides

34. His theorem can be translated into simple terms.

35. A theorem of relation between quadrate and matrix operation is proposed; an iterating algorithm is then given based on the theorem.

36. The Steiner–Lehmus theorem, a theorem in elementary geometry, was formulated by C. L. Lehmus and subsequently proved by Jakob Steiner.

37. But my favoritetomb is that of Thomas Bayes, the eighteenth-century statistician for whomBayesian filtering is named.

38. They thus satisfy the conditions of Tipler's theorem.

39. Antecedent derivation is an extension of theorem proving.

40. 15 And that is called the divergence theorem.

41. 1968/1969 he solved Specker's theorem on Abelian groups.

42. The theorem is named after Lazare Carnot (1753–1823).

43. The name derives from Abel's theorem on power series.

44. We can prove trivially that this theorem is false.

45. The reason is that Ehrenfest's theorem is closely related to Liouville's theorem of Hamiltonian mechanics, which involves the Poisson bracket instead of a commutator.

46. Mitchell's embedding theorem, also known as the Freyd–Mitchell theorem or the full embedding theorem, is a result about abelian categories; it essentially states that these categories, while rather abstractly defined, are in fact concrete categories of modules.

47. Bayesian (comparative more Bayesian, superlative most Bayesian) ( probability , statistics ) Of or pertaining to Thomas Bayes , English mathematician

48. Theorem: All subgroups of a Cyclic group are Cyclic

49. Arnold, V. I. Abel's Theorem in Problems and Solutions.

50. Let us restate the assertions above as a theorem.

51. Apollonius’ theorem is a kind of theorem which relates to the length of the median of a triangle to the length of their sides

52. And we're gonna learn something called the Markov Convergence Theorem.

53. Signal and system is the basic theory of convolution theorem.

54. Based on the ampere return circuit theorem, gauss theorem and charge conservation law the concrete form of Displacement current is derived. The displacement current is discussed.

55. Question: *Number Theory - Polynomial Congruences Question: (a) Use Euler's Theorem And Theorem 5-5 To Prove That For Each Integer X And Each Prime P

56. That is, S is empty, and this proves the theorem.

57. Bayesian definition is - being, relating to, or involving statistical methods that assign probabilities or distributions to events (such as rain tomorrow) or parameters (such as a population mean) based on experience or best guesses before experimentation and data collection and that apply Bayes' theorem to revise the probabilities and distributions after obtaining experimental data.

58. An Impossibility Theorem for Welfarist Axiologies - Volume 16 Issue 2

59. As far as I know a Corollary is a theorem

60. This is the fundamental theorem of finitely generated abelian groups.

61. In his presentation of the theorem, Kelvin omitted many details.

62. Examples of the use of this theorem are given in

63. And the corresponding isometric extension theorem is an immediate consequence.

64. Then the Compactness theorem asserts that this notion coincides with satisfiability

65. Bayes' postulate is that, when nothing to the contrary is known, the probabilities should be assumed to be equal.

66. This theorem is known as the Archimedean property of real numbers

67. Originally Conjectured by Henri Poincaré, the theorem concerns a space

68. I agree with the theorem that the best defence is offence.

69. Hence approximated sampling theorem in the wavelet packets space is obtained.

70. There are a number of alternative formulations of the reciprocity theorem.

71. This last result is sometimes called the weak Whitney immersion theorem.

72. It will then become a theorem, a truth, forever and ever.

73. We use Corollary to imply it follows closely from another theorem

74. Compactness with the help of a subtle local slice theorem F

75. Analytica is an automatic theorem prover for theorems in elementary analysis

76. The revenue equivalence theorem remains the centrepiece of modern auction theory.

77. In mathematical analysis, the Hardy–Littlewood tauberian theorem is a tauberian theorem relating the asymptotics of the partial sums of a series with the asymptotics of its Abel summation.

78. He gave a proof of the Pythagorean theorem using the Pythagorean tiling.

79. Using tools of algebraic number theory, Andrew Wiles proved Fermat's Last Theorem.

80. A rather general theorem about additive set functions is formulated and proved.