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- 05:39, 20 October 2019 Vandermonde Matrix Identity for Hilbert Matrix (hist) [3,288 bytes] Gbgustafson (talk | contribs) (Vandermonde Matrix Identity for Hilbert Matrix 20.10.2019)
- 05:23, 20 October 2019 Vandermonde Matrix Identity for Hilbert Matrix/Example 3x3 (hist) [3,986 bytes] Gbgustafson (talk | contribs) (Example for Vandermonde Matrix Identity for Hilbert Matrix)
- 10:50, 19 October 2019 Permutation is Product of Transpositions (hist) [1,036 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == Let $S_n$ denote the symmetric group on $n$ letters. Every element of $S_n$ can be expressed...")
- 10:37, 19 October 2019 Cycle Decomposition/Examples/Permutation in S7 (hist) [777 bytes] Prime.mover (talk | contribs) (Created page with "== Example of Cycle Decomposition == <onlyinclude> Consider the permutation given in Definition:Two-Row Notatio...")
- 09:21, 19 October 2019 Cayley's Formula/Historical Note (hist) [441 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Cayley's Formula == <onlyinclude> {{AuthorRef|Arthur Cayley}} first stated this theorem in his ''A Theorem on Trees'' in $1889$, but his proof was un...")
- 21:27, 18 October 2019 Function that Satisfies Axioms of Uncertainty/Proof (hist) [4,867 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == {{:Function that Satisfies Axioms of Uncertainty}} == Proof == Let $g: \Z \to \R$ be the mapping defined as: :$(1): \quad \map g n = \m...")
- 07:37, 18 October 2019 Uncertainty/Examples/Example 1 (hist) [2,305 bytes] Prime.mover (talk | contribs) (Created page with "== Example of Uncertainty == <onlyinclude> Let $R_1$ and $R_2$ be horseraces. Let $R_1$ have $7$ runners: :$3$ of which each have Definition:Prob...")
- 07:27, 18 October 2019 Uncertainty/Examples (hist) [220 bytes] Prime.mover (talk | contribs) (Created page with "== Examples of Uncertainty Function == <onlyinclude> === Example 1 === {{:Uncertainty/Examples/Example 1}}</onlyi...")
- 06:37, 18 October 2019 Function that Satisfies Axioms of Uncertainty (hist) [1,249 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == <onlyinclude> Let $Z$ be a random variable. Let $n \in \N$ be a natural number. Let $p_1, p_2, \do...") originally created as "Uncertainty Function satisfies Axioms of Uncertainty"
- 13:54, 17 October 2019 Vandermonde Matrix Identity for Cauchy Matrix (hist) [5,067 bytes] Gbgustafson (talk | contribs) (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,\...")
- 13:19, 17 October 2019 Vandermonde Matrix Identity for Cauchy Matrix/Example 3x3 (hist) [5,941 bytes] Gbgustafson (talk | contribs) (Created page with "<!--------- Vandermonde Matrix Identity for Cauchy Matrix/Example 3x3-----> <!---cauchy-vandermonde-matrix-identity-example2019.tex---> == EXAMPLE 3x3== Illustrate Vandermon...")
- 13:19, 17 October 2019 Vandermonde Matrix Identity for Cauchy Matrix/Example 1 (hist) [0 bytes] Gbgustafson (talk | contribs) (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...")
- 13:19, 17 October 2019 Vandermonde Matrix Identity for Cauchy Matrix/Example 2 (hist) [0 bytes] Gbgustafson (talk | contribs) (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...")
- 17:13, 16 October 2019 Leigh.Samphier/Sandbox/Difference of Consecutive terms of Coherent Sequence (hist) [794 bytes] Leigh.Samphier (talk | contribs) (Created page with "{{Proofread}} == Theorem == Let $p$ be a prime number. Let $\sequence{\alpha_n}$ be a coherent sequence. Then...")
- 03:49, 16 October 2019 Leigh.Samphier/Sandbox/Every Coherent Sequence is Partial Sums of P-adic Expansion/Informal Proof (hist) [1,886 bytes] Leigh.Samphier (talk | contribs) (Created page with "{{Proofread}} == Theorem == Let $p$ be a prime number. Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the Definition:P-adic Number|$p$-adic numb...")
- 03:33, 16 October 2019 Supergolden Ratio is Unique Real Root of x^3 - x^2 - 1 (hist) [9,459 bytes] LegendoftheGoldenAges (talk | contribs) (Created page with "{{Proofread}} ==Definition== The '''supergolden ratio''' $\psi$ is the one real Definition:Root of Polynomial|ro...") originally created as "Supergolden ratio is unique real root of x^3-x^2-1"
- 13:27, 14 October 2019 Twin Primes/Examples/2,003,663,613 x 2^195,000 pm 1/Historical Note (hist) [801 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on $2 \, 003 \, 663 \, 613 \times 2^{195 \, 000} \pm 1$ == <onlyinclude> According to {{AuthorRef|Ia...")
- 13:19, 14 October 2019 Twin Primes/Examples/2,003,663,613 x 2^195,000 pm 1 (hist) [677 bytes] Prime.mover (talk | contribs) (Created page with "== Example of Pair of Twin Primes == <onlyinclude> The numbers: :$2 \, 003 \, 663 \, 613 \times 2^{195 \, 000} \pm 1$ are Definition:Twin Primes|t...")
- 13:17, 14 October 2019 Twin Primes/Examples (hist) [458 bytes] Prime.mover (talk | contribs) (Created page with "== Examples of Pairs of Twin Primes == <onlyinclude> === Twin Primes/Examples/2,003,663,613 x 2^195,000 pm 1|Example: $2 \, 003 \, 663 \, 613 \tim...")
- 13:04, 14 October 2019 Infinite Number of Chen Primes/Historical Note (hist) [385 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Infinite Number of Chen Primes == <onlyinclude> This was proved by {{AuthorRef|Chen Jingrun}} in $1966$. </onlyinclude> == Sources == * {{BookRefer...")
- 10:39, 14 October 2019 Futurama Theorem/Historical Note (hist) [817 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Futurama Theorem == <onlyinclude> This theorem was developed and proved by American comedian {{AuthorRef|Kenneth Keeler}} for an episode of the telev...")
- 08:08, 14 October 2019 881 (hist) [479 bytes] Prime.mover (talk | contribs) (Created page with "{{NumberPageLink|prev = 880|next = 882}} == Number == $881$ ('''eight hundred and eighty-one''') is: :The $152$nd prime number :The $1$st of t...")
- 08:05, 14 October 2019 859 (hist) [479 bytes] Prime.mover (talk | contribs) (Created page with "{{NumberPageLink|prev = 858|next = 860}} == Number == $859$ ('''eight hundred and fifty-nine''') is: :The $149$th prime number :The $2$nd of t...")
- 07:59, 14 October 2019 1283 (hist) [610 bytes] Prime.mover (talk | contribs) (Created page with "{{NumberPageLink|prev = 1282|next = 1284}} == Number == $1283$ ('''one thousand, two hundred and eighty-three''') is: :The $208$th prime number...")
- 07:36, 14 October 2019 863 (hist) [852 bytes] Prime.mover (talk | contribs) (Created page with "{{NumberPageLink|prev = 862|next = 864}} == Number == $863$ ('''eight hundred and sixty-three''') is: :The $150$th prime number :The $23$rd ...")
- 07:00, 14 October 2019 Diophantine Problem/Examples/3 Numbers whose Sum and Pairwise Sums are Square (hist) [1,197 bytes] Prime.mover (talk | contribs) (Created page with "== Example of Diophantine Problem == <onlyinclude> Let $\set {x, y, z}$ be a set of $3$ Definition:Natural Number|natur...")
- 06:45, 14 October 2019 Diophantine Problem/Examples (hist) [372 bytes] Prime.mover (talk | contribs) (Created page with "== Examples of Diophantine Problems == <onlyinclude> </onlyinclude> Category:Diophantine Equations")
- 17:08, 13 October 2019 Leigh.Samphier/Sandbox/Every Coherent Sequence is Partial Sums of P-adic Expansion (hist) [2,820 bytes] Leigh.Samphier (talk | contribs) (Created page with "{{Proofread}} == Theorem == Let $p$ be a prime number. Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the Definition:P-adic Number|$p$-adic numb...")
- 13:35, 13 October 2019 Measurement of Terrestrial Longitude (hist) [1,281 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == To measure the (terrestrial) longitude of a position: :$(1): \quad$ Identify the exact moment of [[Definition:Noon|noon]...")
- 10:48, 13 October 2019 Measurement of Terrestrial Latitude/Sun at Noon (hist) [691 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == <onlyinclude> An observer's (terrestrial) latitude can be identified by measuring the D...")
- 10:41, 13 October 2019 Measurement of Terrestrial Latitude/Pole Star (hist) [784 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == <onlyinclude> An observer's (terrestrial) latitude can be identified by measuring the D...")
- 10:10, 13 October 2019 Measurement of Terrestrial Latitude (hist) [369 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == === Using Altitude of Pole Star === {{:Measurement of Terrestrial Latitude/Pole Star}} === Measurement of T...")
- 08:52, 13 October 2019 Leigh.Samphier/Green (hist) [40 bytes] Leigh.Samphier (talk | contribs) (Created page with "<span style="color:green">{{{1}}}</span>")
- 13:20, 12 October 2019 Sample Matrix Independence Test (hist) [1,952 bytes] Gbgustafson (talk | contribs) (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...")
- 08:11, 12 October 2019 Spherical Law of Sines/Historical Note/Mistake (hist) [2,764 bytes] Prime.mover (talk | contribs) (Created page with "== Source Work == {{BookReference|Taming the Infinite|2008|Ian Stewart}}: :Chapter $5$: Eternal Triangles ::Early trigonometry == Mistake == <onlyinclude> :''{{AuthorRef|Ge...")
- 19:41, 11 October 2019 Chiu Chang Suann Jing/Examples/Example 1 (hist) [891 bytes] Prime.mover (talk | contribs) (Created page with "== Example of Problem from {{BookLink|Chiu Chang Suann Jing|Anonymous}} == <onlyinclude> Two and a half piculs of rice are bought for $\dfrac 3 7$ of a tael of silver. How ma...")
- 19:35, 11 October 2019 Chiu Chang Suann Jing/Examples (hist) [250 bytes] Prime.mover (talk | contribs) (Created page with "== Examples of Problems from {{BookLink|Chiu Chang Suann Jing|Anonymous}} == <onlyinclude> === Example 1 === {{:Chiu Chang Suann J...")
- 06:48, 10 October 2019 Power Reduction Formulas/Sine Squared/Historical Note (hist) [225 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Square of Sine == <onlyinclude> The '''Square of Sine''' formula was discovered and documented by {{AuthorRef|Varahamihira}} in the $6$th century...")
- 22:18, 9 October 2019 Length of Chord of Circle/Historical Note (hist) [506 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Length of Chord of Circle == <onlyinclude> The result Length of Chord of Circle was the basis of the calculations that {{AuthorRef|Hipparchus of...")
- 22:08, 9 October 2019 Sum of Squares of Sine and Cosine/Historical Note (hist) [246 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Sum of Squares of Sine and Cosine == <onlyinclude> The identity: :$\cos^2 x + \sin^2 x = 1$ was discovered and documented by {{AuthorRef|Varāhamihir...")
- 10:54, 9 October 2019 Sum of Elements of Invertible Matrix (hist) [1,766 bytes] Gbgustafson (talk | contribs) (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...") originally created as "Invertible Matrix Sum of Elements"
- 10:48, 9 October 2019 Cofactor Sum Identity (hist) [5,244 bytes] Gbgustafson (talk | contribs) (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...")
- 08:30, 8 October 2019 Every Triangle has 2 Equal Sides (hist) [617 bytes] Prime.mover (talk | contribs) (Created page with "== Fallacy == Every triangle has $2$ sides that are equal in Definition:Length of...")
- 19:17, 5 October 2019 Celestial Body moves along Parallel of Declination (hist) [2,007 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == Consider the celestial sphere $C$ whose observer is $O$. Let $B$ be a Definition:Celestial...")
- 06:11, 5 October 2019 Celestial Equator is Parallel to Geographical Equator (hist) [1,438 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == Consider the celestial sphere with observer $O$. The plane of the Def...")
- 04:51, 5 October 2019 Altitude of North Celestial Pole equals Latitude of Observer (hist) [1,369 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == Let $O$ be an observer of the celestial sphere. Let $P$ be the position of the Definition:N...")
- 04:44, 5 October 2019 Zenith Distance of North Celestial Pole equals Colatitude of Observer (hist) [1,502 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == Let $O$ be an observer of the celestial sphere. Let $P$ be the position of the Definition:N...")
- 19:56, 4 October 2019 Prim's Algorithm/Historical Note (hist) [499 bytes] Prime.mover (talk | contribs) (Created page with "== Historical Note on Prim's Algorithm == <onlyinclude> Prim's Algorithm was initially developed in $1930$ by Czech mathematician {{AuthorRef|Vojtěch Jarník}}. {{Au...")
- 11:46, 4 October 2019 Zenith Distance is Complement of Celestial Altitude (hist) [1,326 bytes] Prime.mover (talk | contribs) (Created page with "== Theorem == Let $X$ be the position of a star (or other celestial body) on the Definition:Celestial Sphere|cel...")
- 14:54, 3 October 2019 Cosine of Half Angle for Spherical Triangles/Mistake (hist) [1,366 bytes] Prime.mover (talk | contribs) (Created page with "== Source Work == {{BookReference|Mathematical Handbook of Formulas and Tables|1968|Murray R. Spiegel}} :Chapter $5$: Trigonometrical Functions: ::Relationships between Sides...")