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Combined display of all available logs of ProofWiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
- 15:29, 28 February 2022 Gbgustafson talk contribs created page Talk:Laplace Transform of Integral (Created page with "The theorem's proof assumes $f(t)$ continuous, which is missing from the hypothesis of the theorem. The assumption on $f(t)$ in classical Laplace theory is not continuity but piecewise continuity. Phrase "whenever the Laplace of $f$ exists" does not include the hypothesis "$f$ continuous." --~~~~")
- 07:49, 14 November 2020 Gbgustafson talk contribs created page Talk:Generating Function for Elementary Symmetric Function/Proof 3 (Explain $a_0=1$.)
- 14:41, 13 December 2019 Gbgustafson talk contribs created page Newton's Identities/Proof 2 (Proof 2 is by calculus)
- 14:37, 13 December 2019 Gbgustafson talk contribs created page Newton's Identities/Proof 1 (Proof 1 is historical, maybe 1959 or earlier)
- 14:29, 13 December 2019 Gbgustafson talk contribs created page Newton-Girard Formulas (New page like Wolfram's page "Newton-Girard Formulas." with two proofs and historical notes)
- 20:56, 10 December 2019 Gbgustafson talk contribs created page Talk:Sample matrix independence test/examples (Created page with "Sample matrix independence test/examples should be '''camel-case''' Sample Matrix Independence Test/Examples but it is not, due to the impossibility to create a page with c...")
- 20:23, 10 December 2019 Gbgustafson talk contribs created page Sample Matrix Independence Test/Examples/Linear Independence of Powers (Second example for Sample Matrix Independence Test)
- 19:41, 10 December 2019 Gbgustafson talk contribs created page Sample matrix independence test/examples (Created page with "== Examples of Sample Matrix Independence Test == <onlyinclude> === Sample Matrix Independence Test/Examples/Linearly Independent Solutions of y'' - y = 0|Example: Linea...")
- 19:30, 10 December 2019 Gbgustafson talk contribs created page Sample Matrix Independence Test/Examples/Linearly Independent Solutions of y'' - y = 0 (refactor example from Sample Matrix Independence Test)
- 19:24, 10 December 2019 Gbgustafson talk contribs created page Creating Sample Matrix Independence Test/Examples/Examples (refactor examples from Sample Matrix Independence Test)
- 13:14, 2 December 2019 Gbgustafson talk contribs created page Generating Function for Elementary Symmetric Function/Proof 3 (Proof 3 is the original proof, to which there are objections for content.)
- 13:07, 2 December 2019 Gbgustafson talk contribs created page Generating Function for Elementary Symmetric Function/Proof 2 (Created page with "== Theorem == {{:Generating Function for Elementary Symmetric Function}} == Proof == <onlyinclude> Apply Definition:Principle of Mathematical Induction|mathematical inducti...")
- 13:02, 2 December 2019 Gbgustafson talk contribs created page Generating Function for Elementary Symmetric Function/Proof 1 (Proof 1 by Viete's formulas)
- 12:51, 2 December 2019 Gbgustafson talk contribs created page Talk:Generating Function for Elementary Symmetric Function (Created page with "'''Dec 2019''': The original Theorem statement needed minor editing to comply with notation in reference Knuth (1997). The original proof was moved to Proof 3, then duplicated...")
- 15:32, 29 November 2019 Gbgustafson talk contribs created page Talk:Newton-Girard Formulas (Statement errors in the theorem, proof applies to a different theorem.)
- 11:25, 29 November 2019 Gbgustafson talk contribs created page Talk:Inverse of Vandermonde Matrix/Eisinberg Formula (Eisinberg formulas, references, Maple test.)
- 11:07, 29 November 2019 Gbgustafson talk contribs created page Inverse of Vandermonde Matrix/Eisinberg Formula (A formula for a Vandermonde inverse matrix using n symmetric functions instead of n*n)
- 11:07, 10 November 2019 Gbgustafson talk contribs created page Inverse of Vandermonde Matrix/Proof 2 (Proof 2 constructed from form of the Vandermonde inverse matrix, diagonal matrix times matrix of symmetric functions. 10 Nov 2019)
- 08:21, 9 November 2019 Gbgustafson talk contribs created page Viète's Formulas/Examples/Monic Polynomial (Created page with "<!--- Viète's Formulas/Examples/Monic Polynomial ---> == Example of Use of Viète's Formulas == <onlyinclude> Let: {{begin-eqn}} {{eqn | l = \map P x | r = x^N +...")
- 15:15, 8 November 2019 Gbgustafson talk contribs created page Summation of Powers over Product of Differences/Proof 3 (Created page with "== Theorem == {{:Summation of Powers over Product of Differences}} == Proof 3 == <onlyinclude> == Definition == {{begin-eqn}} {{eqn | l = \displaystyle \map p x | r...")
- 08:35, 7 November 2019 Gbgustafson talk contribs created page Vandermonde Determinant/Proof 4 (Complete induction proof with details from the original proof by Cauchy (1812).)
- 16:03, 6 November 2019 Gbgustafson talk contribs created page Talk:Vandermonde Determinant/Proof 3 (Created page with "Original text: We can see that statement $P \left({x}\right) = 0$ holds true for all $x_1, x_2, \cdots x_{n-1}$ because if $x=x_1, x_2, \cdots x_{n-1}$ starting determinant w...")
- 13:50, 6 November 2019 Gbgustafson talk contribs created page Inverse of Vandermonde Matrix/Corollary 1 (Created page with "== Corollary == Define for variables $\set {y_1,\ldots,y_k}$ elementary symmetric functions: {{begin-eqn}} {{eqn | l = e_m \paren...")
- 12:48, 6 November 2019 Gbgustafson talk contribs created page Value of Cauchy Determinant/Proof 3 (Created page with "<!--- Value of Cauchy Determinant/Proof 3 ---> <!--- == Theorem == Let $D_n$ be a Cauchy determinant of order $n$: :$\begin{vmatrix} \dfrac...")
- 11:14, 3 November 2019 Gbgustafson talk contribs created page Talk:Sum of Elements in Inverse of Cauchy Matrix (Created page with "'''Statement errors''': The statement of the theorem needs the assumption: :Distinct values $\set {x_1, \ldots, x_n, -y_1, \ldots, -y_n}$ required (Did Knuth mention this?)...")
- 11:33, 2 November 2019 Gbgustafson talk contribs created page Elementary Symmetric Function/Examples/Recursion (Created page with "== Example of Elementary Symmetric Function: Recursion == <onlyinclude> Let $\set {z_1, z_2, \ldots, z_{n+1}}$ be a set of $n+1$ v...")
- 10:57, 2 November 2019 Gbgustafson talk contribs created page Definition:Elementary Symmetric Function/Examples/Recursion (Created page with "== Example of Elementary Symmetric Function: Recursion == <onlyinclude> Let $\set {z_1, z_2, \ldots, z_{n+1}}$ be a set of $n+1$ v...")
- 15:52, 30 October 2019 Gbgustafson talk contribs created page Viète's Formulas/Examples/Cubic with Equal Roots (Created page with "<!--- Viète's Formulas/Examples/Cubic with Equal Roots ---> == Example of Use of Viète's Formulas == <onlyinclude> The coefficient of $x$ in the expansion of cubic $\par...")
- 19:15, 29 October 2019 Gbgustafson talk contribs created page Elementary Symmetric Function/Examples/Monic Polynomial (Created page with "== Example of Elementary Symmetric Function: Monic Polynomial == <onlyinclude> Let $\set {x_1, x_2, \ldots, x_n}$ be a set of valu...")
- 07:53, 29 October 2019 Gbgustafson talk contribs created page Talk:Value of Adjugate of Determinant (Created page with "==29 October 2019== The Theorem statement: :Expected in the statement are $n \times n$ matrices $A$ and $\adj {A}$. :A '''determinant value''' $D^*$ cannot be called an '''a...")
- 19:16, 22 October 2019 Gbgustafson talk contribs created page Sum of Elements of Inverse Matrix/Column of Ones (Created page with "<!--- Knuth vol 1, 1.2.3 Ex 43, solution page 474. ---> <!-- If the inverse of a matrix has a row or column of all ones, then the sum of its elements is one. --> <!-- Sum of E...")
- 09:39, 20 October 2019 Gbgustafson talk contribs created page Vandermonde Matrix Identity for Hilbert Matrix (Vandermonde Matrix Identity for Hilbert Matrix 20.10.2019)
- 09:23, 20 October 2019 Gbgustafson talk contribs created page Vandermonde Matrix Identity for Hilbert Matrix/Example 3x3 (Example for Vandermonde Matrix Identity for Hilbert Matrix)
- 12:50, 19 October 2019 Gbgustafson talk contribs created page Talk:Viète's Formulas (Created page with "{{explain|The above sentence is incomprehensible. Split it up into simple sentences expressing a single logical step in the process. Also, what does "foils" mean here?}} :The...")
- 17:54, 17 October 2019 Gbgustafson talk contribs created page Vandermonde Matrix Identity for Cauchy Matrix (Created page with "<!--------- Vandermonde Matrix Identity for Cauchy Matrix -----> <!---- Cauchy-vandermonde-matrix-identity2019.tex---> == THEOREM== Assume values $\set { x_1,\ldots,x_n,y_1,\...")
- 17:19, 17 October 2019 Gbgustafson talk contribs created page Vandermonde Matrix Identity for Cauchy Matrix/Example 3x3 (Created page with "<!--------- Vandermonde Matrix Identity for Cauchy Matrix/Example 3x3-----> <!---cauchy-vandermonde-matrix-identity-example2019.tex---> == EXAMPLE 3x3== Illustrate Vandermon...")
- 17:19, 17 October 2019 Gbgustafson talk contribs created page Vandermonde Matrix Identity for Cauchy Matrix/Example 1 (Created page with "<!---Vandermonde Matrix Identity for Cauchy Matrix/Example 1---> <!--- Cauchy-vandermonde-matrix-identity-example1-2019.tex---> ==Example 1== Assume values $\left\{ x_1,\ldots...")
- 17:19, 17 October 2019 Gbgustafson talk contribs created page Vandermonde Matrix Identity for Cauchy Matrix/Example 2 (Created page with "<!---Vandermonde Matrix Identity for Cauchy Matrix/Example 2---> <!--- Cauchy-vandermonde-matrix-identity-example2-2019.tex---> ==Example 2== Assume values $\left\{ x_1,\ldots...")
- 17:20, 12 October 2019 Gbgustafson talk contribs created page Sample Matrix Independence Test (Created page with "===THEOREM=== Let $p_1,\ldots,p_n$ be polynomials. Let real number '''samples''' $x_1,\ldots,x_n$ be given. Define '''sample matrix''' :$S=\left(\begin{smallmatrix} p_1(x...")
- 14:54, 9 October 2019 Gbgustafson talk contribs created page Invertible Matrix Sum of Elements (Created page with "<!--------sum-of-elements-in-invertible-matrix2019.tex------> <!--------Title: Invertible Matrix Sum of Elements------> ==THEOREM== Let $J_n$ be the $n\times n$ Definition:O...")
- 14:48, 9 October 2019 Gbgustafson talk contribs created page Cofactor Sum Identity (Created page with "<!--------sum-of-cofactors-identity2019.tex------> <!--------Title: Cofactor Sum Identity------> ==THEOREM== Let $J_n$ be the $n\times n$ Definition:Ones Matrix|matrix of al...")