# User contributions

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- 22:37, 31 July 2019 (diff | hist) . . (+319) . . Infinitely often and almost always (→Analogy with sequences of real numbers) (current)
- 22:35, 31 July 2019 (diff | hist) . . (+99) . . Infinitely often and almost always
- 22:34, 31 July 2019
(diff | hist) . .
**(+544)** . . Infinitely often and almost always (→Analogy with sequences of real numbers) - 22:31, 31 July 2019 (diff | hist) . . (-30) . . Infinitely often and almost always (→Analogy with sequences of real numbers)
- 22:23, 31 July 2019
(diff | hist) . .
**(+563)** . . Infinitely often and almost always (→Analogy with sequences of real numbers) - 22:10, 31 July 2019 (diff | hist) . . (+129) . . Infinitely often and almost always (→Analogy with sequences of real numbers)
- 22:06, 31 July 2019 (diff | hist) . . (+140) . . Infinitely often and almost always (→Analogy with sequences of real numbers)
- 21:54, 31 July 2019 (diff | hist) . . (+51) . . Infinitely often and almost always (→Analogy with sequences of real numbers)
- 21:53, 31 July 2019 (diff | hist) . . (+79) . . Infinitely often and almost always (→Analogy with sequences of real numbers)
- 21:49, 31 July 2019 (diff | hist) . . (0) . . Infinitely often and almost always
- 21:48, 31 July 2019
(diff | hist) . .
**(+609)** . . Infinitely often and almost always - 21:43, 31 July 2019 (diff | hist) . . (+50) . . Infinitely often and almost always
- 21:43, 31 July 2019 (diff | hist) . . (+181) . . Infinitely often and almost always
- 21:41, 31 July 2019 (diff | hist) . . (+6) . . Infinitely often and almost always
- 21:40, 31 July 2019 (diff | hist) . . (+6) . . Infinitely often and almost always
- 21:17, 31 July 2019 (diff | hist) . . (+26) . . Infinitely often and almost always
- 21:16, 31 July 2019 (diff | hist) . . (+306) . . Infinitely often and almost always
- 21:14, 31 July 2019 (diff | hist) . . (+8) . . Infinitely often and almost always
- 21:14, 31 July 2019 (diff | hist) . . (+41) . . Infinitely often and almost always
- 21:11, 31 July 2019 (diff | hist) . . (+1) . . Infinitely often and almost always
- 21:11, 31 July 2019
(diff | hist) . .
**(+771)** . . N Infinitely often and almost always (Created page with "Let <math>A_1, A_2, A_3, \ldots</math> be a sequence of events in some sample space <math>\Omega</math>. {| class="wikitable" |- ! perspective !! infinitely often !! almost a...") - 05:21, 31 July 2019 (diff | hist) . . (+335) . . Covariance (→Questions/things to explain) (current)
- 03:26, 31 July 2019 (diff | hist) . . (+156) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views (current)
- 02:55, 31 July 2019 (diff | hist) . . (-14) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:43, 31 July 2019 (diff | hist) . . (+4) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:39, 31 July 2019 (diff | hist) . . (+483) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:32, 31 July 2019 (diff | hist) . . (+271) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:29, 31 July 2019 (diff | hist) . . (+174) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:25, 31 July 2019 (diff | hist) . . (+454) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:21, 31 July 2019 (diff | hist) . . (+249) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 01:18, 31 July 2019 (diff | hist) . . (+122) . . User:IssaRice/Linear algebra/Linear transformation vs matrix views
- 00:36, 31 July 2019
(diff | hist) . .
**(+523)** . . Variance (→Questions/things to explain) (current) - 00:33, 31 July 2019 (diff | hist) . . (+21) . . Variance (→Motivation)
- 06:39, 30 July 2019 (diff | hist) . . (+4) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions
- 06:38, 30 July 2019 (diff | hist) . . (+399) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions
- 06:29, 30 July 2019 (diff | hist) . . (+14) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions
- 06:26, 30 July 2019 (diff | hist) . . (+7) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions (→See also)
- 06:26, 30 July 2019 (diff | hist) . . (+206) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions (→See also)
- 06:24, 30 July 2019 (diff | hist) . . (+299) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions
- 06:22, 30 July 2019 (diff | hist) . . (+81) . . User:IssaRice/Linear algebra/Change of basis example in two dimensions
- 06:07, 30 July 2019 (diff | hist) . . (+6) . . User:IssaRice/Linear algebra/Dual basis (current)
- 06:05, 30 July 2019
(diff | hist) . .
**(+808)** . . User:IssaRice/Linear algebra/Dual basis - 05:50, 30 July 2019
(diff | hist) . .
**(+513)** . . User:IssaRice/Linear algebra/Dual basis - 05:46, 30 July 2019 (diff | hist) . . (-4) . . User:IssaRice/Linear algebra/Dual basis
- 05:42, 30 July 2019 (diff | hist) . . (+94) . . User:IssaRice/Linear algebra/Dual basis
- 05:41, 30 July 2019 (diff | hist) . . (+55) . . User:IssaRice/Linear algebra/Dual basis
- 05:39, 30 July 2019 (diff | hist) . . (+80) . . User:IssaRice/Linear algebra/Dual basis
- 05:37, 30 July 2019
(diff | hist) . .
**(+617)** . . User:IssaRice/Linear algebra/Dual basis - 05:30, 30 July 2019 (diff | hist) . . (-6) . . User:IssaRice/Linear algebra/Dual basis
- 05:30, 30 July 2019 (diff | hist) . . (+2) . . User:IssaRice/Linear algebra/Dual basis
- 05:29, 30 July 2019
(diff | hist) . .
**(+662)** . . User:IssaRice/Linear algebra/Dual basis - 05:26, 30 July 2019 (diff | hist) . . (0) . . User:IssaRice/Linear algebra/Dual basis
- 05:26, 30 July 2019
(diff | hist) . .
**(+755)** . . N User:IssaRice/Linear algebra/Dual basis (Created page with "see p. 224 of https://terrytao.files.wordpress.com/2011/06/blog-book.pdf the following example is based on p. 115 of https://terrytao.files.wordpress.com/2016/12/linear-algeb...") - 22:54, 29 July 2019
(diff | hist) . .
**(+1,480)** . . N User:IssaRice/Degree of polynomial (Created page with "Why is the definition of degree of polynomial what it is? First attempt: a polynomial like <math>a_n x^n + a_{n-1} x^{n-1} + \cdots + a_2 x^2 + a_1 x + a_0</math> should have...") (current) - 05:18, 29 July 2019 (diff | hist) . . (+1) . . User:IssaRice/Extreme value theorem (→Takeaways) (current)
- 05:18, 29 July 2019
(diff | hist) . .
**(+841)** . . User:IssaRice/Extreme value theorem (→Takeaways) - 05:13, 29 July 2019 (diff | hist) . . (+10) . . User:IssaRice/Extreme value theorem
- 05:09, 29 July 2019 (diff | hist) . . (-340) . . User:IssaRice/Extreme value theorem
- 05:08, 29 July 2019 (diff | hist) . . (-7) . . User:IssaRice/Extreme value theorem
- 05:07, 29 July 2019
(diff | hist) . .
**(-700)** . . User:IssaRice/Extreme value theorem - 05:03, 29 July 2019
(diff | hist) . .
**(-522)** . . User:IssaRice/Extreme value theorem - 05:01, 29 July 2019
(diff | hist) . .
**(+1,072)** . . User:IssaRice/Extreme value theorem - 04:49, 29 July 2019 (diff | hist) . . (+31) . . User:IssaRice/Extreme value theorem
- 04:47, 29 July 2019 (diff | hist) . . (+41) . . User:IssaRice/Extreme value theorem
- 04:46, 29 July 2019 (diff | hist) . . (+19) . . User:IssaRice/Extreme value theorem
- 04:43, 29 July 2019 (diff | hist) . . (+382) . . User:IssaRice/Extreme value theorem
- 02:01, 29 July 2019
(diff | hist) . .
**(+1,865)** . . User:IssaRice/Logical inductor construction (→Lemma 5.1.1 (Fixed Point Lemma)) - 01:43, 29 July 2019 (diff | hist) . . (+241) . . User:IssaRice/Logical inductor construction (→Lemma 5.1.1 (Fixed Point Lemma))
- 07:05, 25 July 2019 (diff | hist) . . (+154) . . User:IssaRice/Reflections on working through Tao's Analysis
- 06:03, 25 July 2019 (diff | hist) . . (+46) . . Lower semicomputable function (current)
- 06:00, 25 July 2019 (diff | hist) . . (+96) . . Lower semicomputable function
- 05:58, 25 July 2019 (diff | hist) . . (+264) . . Lower semicomputable function
- 05:55, 25 July 2019 (diff | hist) . . (+262) . . Lower semicomputable function
- 05:53, 25 July 2019 (diff | hist) . . (+306) . . Lower semicomputable function
- 05:50, 25 July 2019 (diff | hist) . . (+247) . . Lower semicomputable function
- 05:48, 25 July 2019 (diff | hist) . . (+269) . . Lower semicomputable function
- 05:38, 25 July 2019 (diff | hist) . . (+367) . . N Lower semicomputable function (Created page with "A function <math>f : X \to \mathbf R</math> is lower semicomputable iff there exists a computable function <math>g : X \times \mathbf N \to \mathbf Q</math> such that: * for...")
- 19:57, 24 July 2019 (diff | hist) . . (+340) . . User:IssaRice/Reflections on working through Tao's Analysis
- 07:36, 24 July 2019 (diff | hist) . . (+4) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic
- 07:30, 24 July 2019 (diff | hist) . . (+228) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic (→Completeness)
- 07:24, 24 July 2019 (diff | hist) . . (+189) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic (→notes)
- 07:22, 24 July 2019 (diff | hist) . . (+159) . . User:IssaRice/Computability and logic/List of possibilities for completeness and decidability (current)
- 07:14, 24 July 2019 (diff | hist) . . (+311) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic (→Language, logic, formal system, system, theory, structure)
- 07:00, 24 July 2019 (diff | hist) . . (+178) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic (→Syntax vs semantics)
- 06:57, 24 July 2019 (diff | hist) . . (+175) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic (→Syntax vs semantics)
- 06:52, 24 July 2019 (diff | hist) . . (+188) . . User:IssaRice/Computability and logic/Some important distinctions and equivalences in introductory mathematical logic (→Completeness)
- 19:53, 22 July 2019
(diff | hist) . .
**(+505)** . . Variants of Solomonoff induction - 06:40, 22 July 2019
(diff | hist) . .
**(+947)** . . User:IssaRice/Logical inductor construction (→Lemma 5.1.1 (Fixed Point Lemma)) - 18:52, 18 July 2019 (diff | hist) . . (+150) . . User:IssaRice/Construction of the real numbers (current)
- 06:03, 18 July 2019
(diff | hist) . .
**(+757)** . . Solomonoff induction (→Significance of random coin flips) - 05:55, 18 July 2019
(diff | hist) . .
**(+633)** . . Solomonoff induction (→Significance of random coin flips) - 07:26, 17 July 2019 (diff | hist) . . (+274) . . Solomonoff induction (→Questions/things to explain)
- 20:02, 15 July 2019 (diff | hist) . . (+72) . . Shattering (current)
- 20:01, 15 July 2019 (diff | hist) . . (+82) . . Shattering
- 20:00, 15 July 2019
(diff | hist) . .
**(+1,651)** . . N Shattering (Created page with "Let <math>\mathcal H</math> be a class of functions from <math>\mathcal X</math> to <math>\{0,1\}</math>, called a hypothesis class. Let <math>S = \{p_1, \ldots, p_n\} \subset...") - 19:53, 15 July 2019 (diff | hist) . . (+4) . . Vapnik–Chervonenkis dimension (current)
- 19:45, 15 July 2019 (diff | hist) . . (+291) . . Solomonoff induction (→Type of hypothesis)
- 23:15, 12 July 2019 (diff | hist) . . (+110) . . User:IssaRice/Computability and logic/Diagonalization lemma (→Rogers's fixed point theorem)
- 21:43, 12 July 2019 (diff | hist) . . (+133) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation (current)
- 21:23, 12 July 2019
(diff | hist) . .
**(+525)** . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation - 21:11, 12 July 2019
(diff | hist) . .
**(+731)** . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation - 21:07, 12 July 2019 (diff | hist) . . (+226) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 21:05, 12 July 2019 (diff | hist) . . (+212) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 21:02, 12 July 2019 (diff | hist) . . (+87) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:57, 12 July 2019 (diff | hist) . . (+11) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:55, 12 July 2019 (diff | hist) . . (-1) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:55, 12 July 2019 (diff | hist) . . (+267) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:50, 12 July 2019 (diff | hist) . . (+111) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:47, 12 July 2019 (diff | hist) . . (0) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:45, 12 July 2019
(diff | hist) . .
**(+645)** . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation - 20:39, 12 July 2019
(diff | hist) . .
**(+752)** . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation - 20:32, 12 July 2019 (diff | hist) . . (+211) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:28, 12 July 2019 (diff | hist) . . (+150) . . User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation
- 20:28, 12 July 2019 (diff | hist) . . (+143) . . User:IssaRice/Computability and logic/Diagonalization lemma (→Rogers's fixed point theorem)
- 20:28, 12 July 2019
(diff | hist) . .
**(+651)** . . N User:IssaRice/Computability and logic/Rogers fixed point theorem using Sipser's notation (Created page with "Sipser's textbook presents the recursion theorem, but not the fixed point theorem. Here is one way to state the fixed point theorem using Sipser's notation. '''Theorem''' (Fi...") - 22:40, 6 July 2019 (diff | hist) . . (+170) . . Solomonoff induction (→Significance of random coin flips)
- 22:36, 6 July 2019 (diff | hist) . . (+327) . . Solomonoff induction (→Significance of random coin flips)
- 07:50, 6 July 2019 (diff | hist) . . (+27) . . User:IssaRice/Construction of the real numbers
- 07:46, 6 July 2019 (diff | hist) . . (+243) . . User:IssaRice/Construction of the real numbers
- 07:37, 6 July 2019 (diff | hist) . . (0) . . User:IssaRice/Isometry in metric spaces (current)
- 07:36, 6 July 2019 (diff | hist) . . (+40) . . User:IssaRice/Isometry in metric spaces
- 07:36, 6 July 2019 (diff | hist) . . (+266) . . User:IssaRice/Isometry in metric spaces
- 07:32, 6 July 2019 (diff | hist) . . (+358) . . User:IssaRice/Isometry in metric spaces
- 07:29, 6 July 2019
(diff | hist) . .
**(+648)** . . User:IssaRice/Isometry in metric spaces - 07:24, 6 July 2019
(diff | hist) . .
**(+864)** . . N User:IssaRice/Isometry in metric spaces (Created page with "when playing around with metric spaces, one might notice that certain metric spaces can be "modeled" by other metric spaces. For instance, let <math>X = \{1,2,3\}</math> be a...") - 07:15, 6 July 2019 (diff | hist) . . (+6) . . User:IssaRice/Construction of the real numbers
- 07:14, 6 July 2019 (diff | hist) . . (+129) . . User:IssaRice/Construction of the real numbers
- 07:12, 6 July 2019 (diff | hist) . . (+294) . . User:IssaRice/Construction of the real numbers
- 07:09, 6 July 2019 (diff | hist) . . (+438) . . N User:IssaRice/Construction of the real numbers (Created page with "something that i have seen clarified ''exactly once'' is why constructing the real numbers (for instance via dedekind cuts or equivalence classes of cauchy sequences of ration...")
- 05:02, 6 July 2019 (diff | hist) . . (0) . . User:IssaRice/Adherent point and limit point (→Limit point of a sequence) (current)
- 05:02, 6 July 2019 (diff | hist) . . (+55) . . User:IssaRice/Adherent point and limit point (→Limit point of a sequence)
- 05:01, 6 July 2019 (diff | hist) . . (+92) . . User:IssaRice/Adherent point and limit point (→Limit point of a sequence)
- 04:57, 6 July 2019 (diff | hist) . . (+149) . . User:IssaRice/Adherent point and limit point (→Limit point of a sequence)
- 04:45, 6 July 2019
(diff | hist) . .
**(+991)** . . User:IssaRice/Adherent point and limit point (→Limit point of a sequence) - 04:38, 6 July 2019 (diff | hist) . . (+349) . . User:IssaRice/Adherent point and limit point
- 04:37, 6 July 2019 (diff | hist) . . (+1) . . User:IssaRice/Adherent point and limit point
- 04:36, 6 July 2019 (diff | hist) . . (+475) . . User:IssaRice/Adherent point and limit point
- 04:27, 6 July 2019 (diff | hist) . . (0) . . User:IssaRice/Adherent point and limit point
- 04:26, 6 July 2019 (diff | hist) . . (+118) . . User:IssaRice/Adherent point and limit point
- 04:24, 6 July 2019
(diff | hist) . .
**(+1,143)** . . N User:IssaRice/Adherent point and limit point (Created page with "Let <math>(X,d)</math> be a metric space, let <math>E</math> be a subset of <math>X</math>, and let <math>x_0\in X</math> be a point. * there exists a sequence <math>(x_n)_{n...") - 04:08, 5 July 2019 (diff | hist) . . (-4) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Topology)
- 04:08, 5 July 2019 (diff | hist) . . (+18) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Topology)
- 04:06, 5 July 2019 (diff | hist) . . (+14) . . User:IssaRice/Subfield of math that is best for introducing proofs
- 04:04, 5 July 2019 (diff | hist) . . (+70) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Abstract algebra)
- 04:02, 5 July 2019 (diff | hist) . . (+419) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Computability and logic)
- 03:58, 5 July 2019 (diff | hist) . . (+100) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Linear algebra)
- 03:57, 5 July 2019 (diff | hist) . . (+193) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Computability and logic)
- 03:56, 5 July 2019 (diff | hist) . . (+100) . . User:IssaRice/Subfield of math that is best for introducing proofs
- 03:55, 5 July 2019 (diff | hist) . . (+99) . . User:IssaRice/Subfield of math that is best for introducing proofs
- 03:53, 5 July 2019 (diff | hist) . . (+51) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Linear algebra)
- 03:50, 5 July 2019 (diff | hist) . . (+11) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Abstract algebra)
- 03:50, 5 July 2019 (diff | hist) . . (+383) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Computability and logic)
- 03:48, 5 July 2019 (diff | hist) . . (+140) . . User:IssaRice/Subfield of math that is best for introducing proofs (→Linear algebra)
- 03:46, 5 July 2019
(diff | hist) . .
**(+517)** . . User:IssaRice/Subfield of math that is best for introducing proofs (→Real analysis) - 03:42, 5 July 2019 (diff | hist) . . (+210) . . N User:IssaRice/Subfield of math that is best for introducing proofs (Created page with "==Real analysis== Pros: Cons: ==Linear algebra== Pros: Cons: ==Abstract algebra== Pros: Cons: ==Computability and logic== Pros: Cons: ==Discrete math== Pros: Con...")
- 21:38, 30 June 2019
(diff | hist) . .
**(+825)** . . User:IssaRice/Logical inductor construction (→Definition/Proposition 5.2.1 (Budgeter)) - 21:30, 30 June 2019 (diff | hist) . . (+95) . . User:IssaRice/Logical inductor construction (→Proposition 5.3.1 (Redundant Enumeration of e.c. Traders))
- 21:28, 30 June 2019 (diff | hist) . . (+348) . . User:IssaRice/Logical inductor construction (→Proposition 5.3.1 (Redundant Enumeration of e.c. Traders))
- 21:21, 30 June 2019 (diff | hist) . . (+256) . . User:IssaRice/Logical inductor construction (→Proposition 5.3.1 (Redundant Enumeration of e.c. Traders))
- 02:02, 30 June 2019 (diff | hist) . . (+80) . . User:IssaRice/Logical inductor construction (→Definition/Proposition 5.3.2 (TradingFirm))

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