User contributions for John Coupe
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3 October 2020
- 14:3314:33, 3 October 2020 diff hist +933 m User:John Coupe No edit summary current
11 May 2020
- 23:0023:00, 11 May 2020 diff hist +895 Talk:Traveling Salesman Problem is NP-Complete No edit summary
9 May 2020
- 09:3709:37, 9 May 2020 diff hist +171 Divergent Sequence may be Bounded Added mention of Grandi's Series
- 09:1409:14, 9 May 2020 diff hist +1 m Divergent Sequence may be Bounded/Proof 2 No edit summary
8 May 2020
- 10:5410:54, 8 May 2020 diff hist +2,559 N Definition talk:Abel Summation Method Created page with "The underlying definitions and/or approaches aren't fully documented, so the risk of handwavery/apparent-prestidigitation seems high. The Definition:Abel Summation Method|A..."
3 May 2020
- 23:2123:21, 3 May 2020 diff hist +735 m Definition talk:Divergence Operator No edit summary
- 22:4522:45, 3 May 2020 diff hist −2,197 Summation to n of Square of kth Harmonic Number The previous proof was incomplete with a "This is not going anywhere near" comment
- 19:0819:08, 3 May 2020 diff hist +1,303 333,667 is Unique Period Prime with Period 9 Proved that $333 \, 667$ is the only prime number with the required property
- 16:3116:31, 3 May 2020 diff hist +1,475 N Maximum Period of Reciprocal of Prime This page is referenced, e.g. Smallest Prime Number whose Period is of Maximum Length, and the proof is included
- 15:5815:58, 3 May 2020 diff hist +2,447 N Period of Reciprocal of Prime To be used as a basis for Maximum Period of Reciprocal of Prime
- 10:1810:18, 3 May 2020 diff hist +2,984 2-Digit Numbers divisible by both Product and Sum of Digits Expanded the proof to demonstrate that 12, 24, and 36 are the only 2-digit positive integers which the required properties
31 December 2019
- 23:1423:14, 31 December 2019 diff hist +628 Talk:Center of Gravity of Cycloid No edit summary
- 22:0122:01, 31 December 2019 diff hist +1,326 N Talk:Center of Gravity of Cycloid Please point me in the right direction
- 18:3218:32, 31 December 2019 diff hist +2,034 Focal Property of Parabola One of many geometric proofs
- 15:5115:51, 31 December 2019 diff hist +128 N File:ParabolaReflection.png An incoming/outgoing light ray that is parallel to the parabola's axis of symmetry is reflected through the focus.
30 December 2019
- 14:1514:15, 30 December 2019 diff hist +2,918 Sum of Complex Numbers in Exponential Form/General Result I struggled to find the $\LaTeX$ commands to get the layout to more closely match house style, e.g. to indent the equations for the two cases and I wasn't sure of the convention preferred for the second summation under the square root
- 11:2811:28, 30 December 2019 diff hist −139 Complex Power Series/Examples/3^n-1 over 2^n+1 Changes per Talk:Complex Power Series/Examples/3^n-1 over 2^n+1
- 00:4000:40, 30 December 2019 diff hist +444 N Talk:Complex Power Series/Examples/3^n-1 over 2^n+1 I believe that the book is correct
29 December 2019
- 23:4323:43, 29 December 2019 diff hist +45 Complex Algebra/Examples/z^4 - 3z^2 + 1 = 0 Would have been simpler to not use De Moivre's Formula, e.g. refer to the existing pages that show the values of the various signs in terms of radicals; however, this problem was in the De Moivre's Theorem section so I used it the best way I could think of.
- 17:3717:37, 29 December 2019 diff hist +304 m Complex Algebra/Examples/z^2 (1 - z^2) = 16/Proof 2 Fixed $\LaTeX$ markup and added an alternative approach that could leverage the formulae in Square Root of Complex Number in Cartesian Form
- 13:0813:08, 29 December 2019 diff hist −597 Factors of Sum of Two Even Powers All handwaving hopefully eliminated - thanks for the pointer to Permutation of Indices of Product
- 00:5200:52, 29 December 2019 diff hist +1,137 Talk:Main Page No edit summary
28 December 2019
- 23:5923:59, 28 December 2019 diff hist +1,123 Factors of Sum of Two Even Powers Hopefully an improved version - still needs a proofread
- 22:0222:02, 28 December 2019 diff hist +2 m Complex Roots of Unity occur in Conjugate Pairs Fixed $\LaTeX$ markup
- 21:2521:25, 28 December 2019 diff hist +1,777 N Factorisation of z^n+a Based upon the proof used in Factorisation of z^n-a; no direct source is known, hence no list of Sources included
- 18:4718:47, 28 December 2019 diff hist +85 m Factorisation of z^n-a No edit summary
27 December 2019
- 01:2501:25, 27 December 2019 diff hist +685 Factorisation of z^n-a Incorporated $b$ within the proof, included the value of $\theta$, and elaborated on how to use the roots in the product from the Polynomial Factor Theorem's corollary
26 December 2019
- 23:2023:20, 26 December 2019 diff hist +242 Binomial Coefficient/Examples/3 from 8 No edit summary
- 23:0423:04, 26 December 2019 diff hist +2,634 N Talk:Factors of Sum of Two Even Powers Created page with "In my copy of {{BookReference|Mathematical Handbook of Formulas and Tables|1968|Murray R. Spiegel|prev = Factors of Difference of Two Even Powers|next = Definition:Factorial/D..."