41554 blogs · [ { "id": "01a087a6-52d3-73ee-a5b9-cb12d6af4f54", "title": "Optimizing Against the Field: A Bracket Pool Strategy Using Team Seeds, Part 1", "url": "https://mikespivey.wordpress.com/2026/04/10/optimizing-against-the-field-a-bracket-pool-strategy-using-team-seeds-part-1/", "published_at": "2026-04-10T23:11:52+00:00" }, { "id": "01a087a6-52d4-7258-922b-85c3e49fb00b", "title": "Mean Residual Life for the Weibull Distribution", "url": "https://mikespivey.wordpress.com/2026/03/23/mean-residual-life-for-the-weibull-distribution/", "published_at": "2026-03-23T17:45:07+00:00" }, { "id": "01a087a6-52d4-7258-922b-85c3e51f452a", "title": "An Interview Question about Car Replacements", "url": "https://mikespivey.wordpress.com/2022/02/26/an-interview-question-about-car-replacements/", "published_at": "2022-02-26T22:56:25+00:00" }, { "id": "01a087a6-52d4-7258-922b-85c3e524b163", "title": "Two Fallacious Induction Arguments", "url": 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"https://mikespivey.wordpress.com/2018/01/19/adventures-in-fine-hall/", "published_at": "2018-01-20T00:01:05+00:00" }, { "id": "01a0bba4-cfa1-7301-ade0-aa8e79b5d3bd", "title": "A Quasiperfect Number Must Be an Odd Perfect Square", "url": "https://mikespivey.wordpress.com/2018/01/16/a-quasiperfect-number-must-be-an-odd-perfect-square/", "published_at": "2018-01-16T23:26:09+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c1262fe702b7", "title": "Determinant of a Symmetric Pascal Matrix", "url": "https://mikespivey.wordpress.com/2017/12/08/determinant-of-a-symmetric-pascal-matrix/", "published_at": "2017-12-08T22:41:20+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c1263051d5f8", "title": "A Sequence of Right-Hand Riemann Sums Whose Limit Does Not Exist", "url": "https://mikespivey.wordpress.com/2017/11/13/a-sequence-of-right-hand-riemann-sums-whose-limit-does-not-exist/", "published_at": "2017-11-13T21:48:10+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c12630d2e508", "title": "Mathematics through Narrative: A Beauty Cold and Austere", "url": "https://mikespivey.wordpress.com/2017/10/05/mathematics-through-narrative-a-beauty-cold-and-austere/", "published_at": "2017-10-05T23:34:47+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c126312f7359", "title": "The Validity of Mathematical Induction", "url": "https://mikespivey.wordpress.com/2017/09/21/validity-of-mathematical-induction/", "published_at": "2017-09-21T16:55:43+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c1263192e219", "title": "The Divergence of the Harmonic Series", "url": "https://mikespivey.wordpress.com/2017/08/14/the-divergence-of-the-harmonic-series/", "published_at": "2017-08-14T17:42:24+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c1263229de9b", "title": "The Secretary Problem With the Two Best", "url": "https://mikespivey.wordpress.com/2017/07/19/top-two/", "published_at": "2017-07-19T23:40:14+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c126329997a6", "title": "Some Thoughts on Teaching Math for Social Justice", "url": "https://mikespivey.wordpress.com/2017/06/24/some-thoughts-on-teaching-math-for-social-justice/", "published_at": "2017-06-24T20:54:52+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c12632eb5c46", "title": "Pascal Matrices and Binomial Inversion", "url": "https://mikespivey.wordpress.com/2017/05/05/pascal-matrices-and-binomial-inversion/", "published_at": "2017-05-05T17:13:56+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c12632ff66a8", "title": "Counting Poker Hands", "url": "https://mikespivey.wordpress.com/2017/04/12/counting-poker-hands/", "published_at": "2017-04-12T22:27:34+00:00" }, { "id": "01a0bba9-ef60-73f0-a062-c1263338bdaf", "title": "An Expected Value Connection Between Order Statistics from a Discrete and a Continuous Distribution", "url": "https://mikespivey.wordpress.com/2017/03/09/an-expected-value-connection-between-order-statistics-from-a-discrete-and-a-continuous-distribution/", "published_at": "2017-03-09T18:48:08+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa306be3ecd", "title": "Two Methods for Proving an Alternating Binomial Identity", "url": "https://mikespivey.wordpress.com/2017/02/22/two-methods-for-proving-an-alternating-binomial-identity/", "published_at": "2017-02-22T22:02:29+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa3071a1d58", "title": "A Bonus Question on Convergent Series", "url": "https://mikespivey.wordpress.com/2017/01/06/a-bonus-question-on-convergent-series/", "published_at": "2017-01-07T00:27:18+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa3081598f8", "title": "My Experiences on a Post-Election Panel", "url": "https://mikespivey.wordpress.com/2016/12/12/my-experiences-on-a-post-election-panel/", "published_at": "2016-12-12T20:19:05+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa308d6b6fb", "title": "Relations That Are Symmetric and Antisymmetric", "url": "https://mikespivey.wordpress.com/2016/11/22/relations-that-are-symmetric-and-antisymmetric/", "published_at": "2016-11-22T23:58:53+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa3095590e9", "title": "How Do You Tell Whether Two Lines Intersect in 3D?", "url": "https://mikespivey.wordpress.com/2016/10/06/how-do-you-tell-whether-two-lines-intersect-in-3d/", "published_at": "2016-10-06T22:37:58+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa3095fdca1", "title": "Cassini’s Identity without Matrix Powers", "url": "https://mikespivey.wordpress.com/2016/09/06/cassinis-identity-without-matrix-powers/", "published_at": "2016-09-06T21:48:09+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa309d0d80b", "title": "Alternating Sum of the Reciprocals of the Central Binomial Coefficients", "url": "https://mikespivey.wordpress.com/2016/08/26/alternating-sum-of-the-reciprocals-of-the-central-binomial-coefficients/", "published_at": "2016-08-26T20:14:34+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa30ac829d6", "title": "Generating Function for the Reciprocals of the Central Binomial Coefficients", "url": "https://mikespivey.wordpress.com/2016/07/26/generating-function-for-the-reciprocals-of-the-central-binomial-coefficients/", "published_at": "2016-07-26T22:12:47+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa30b9fdadf", "title": "Sum of the Reciprocals of the Central Binomial Coefficients", "url": "https://mikespivey.wordpress.com/2016/06/21/sum-of-the-reciprocals-of-the-central-binomial-coefficients/", "published_at": "2016-06-21T22:06:21+00:00" }, { "id": "01a0bbae-ec2d-7158-8278-4aa30bec603b", "title": "A Probabilistic Proof of a Binomial Coefficient Identity, Generalized", "url": "https://mikespivey.wordpress.com/2016/05/16/a-probabilistic-proof-of-a-binomial-coefficient-identity-generalized/", "published_at": "2016-05-16T22:52:05+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f48b276c", "title": "A Proof of Dobinski’s Formula for Bell Numbers", "url": "https://mikespivey.wordpress.com/2016/04/18/a-proof-of-dobinskis-formula-for-bell-numbers/", "published_at": "2016-04-18T21:52:37+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f4adc841", "title": "Operations Research Makes List of Top 5 STEM Professions Employing Women", "url": "https://mikespivey.wordpress.com/2016/03/16/operations-research-makes-list-of-top-5-stem-professions-employing-women/", "published_at": "2016-03-16T22:04:49+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f5676fae", "title": "An Explicit Solution to the Fibonacci Recurrence", "url": "https://mikespivey.wordpress.com/2016/03/11/an-explicit-solution-to-the-fibonacci-recurrence/", "published_at": "2016-03-11T23:10:25+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f57e7d17", "title": "Calculating SECA Offsets for Clergy", "url": "https://mikespivey.wordpress.com/2016/02/22/calculating-seca-offsets-for-clergy/", "published_at": "2016-02-22T22:43:36+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f6716c33", "title": "Generalized Binomial Coefficients from Multiplicative and Divisible Functions", "url": "https://mikespivey.wordpress.com/2016/01/15/generalized-binomial-coefficients-from-multiplicative-and-divisible-functions/", "published_at": "2016-01-15T18:07:51+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f6a493e9", "title": "Integrality of the Catalan Numbers via Kummer’s Theorem", "url": "https://mikespivey.wordpress.com/2015/12/15/integrality-of-the-catalan-numbers-via-kummers-theorem/", "published_at": "2015-12-15T20:46:16+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f7070f23", "title": "An arcsecant/arctangent integral", "url": "https://mikespivey.wordpress.com/2015/11/05/an-arcsecantarctangent-integral/", "published_at": "2015-11-05T18:35:11+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f7dfc0c4", "title": "Tiling Proofs for the Sum of Even or Odd-Indexed Binomial Coefficients", "url": "https://mikespivey.wordpress.com/2015/10/09/tiling-proofs-for-the-sum-of-even-or-odd-indexed-binomial-coefficients/", "published_at": "2015-10-09T18:14:13+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f8a9a108", "title": "Combinatorial Proofs of Two Hagen-Rothe Identities in Concrete Mathematics", "url": "https://mikespivey.wordpress.com/2015/09/04/combinatorial-proofs-of-two-hagen-rothe-identities-in-concrete-mathematics/", "published_at": "2015-09-04T22:43:54+00:00" }, { "id": "01a0bbb3-e193-7164-b85a-3032f8b71ae3", "title": "Vandermonde’s Identity from the Generalized Product Rule", "url": "https://mikespivey.wordpress.com/2015/08/11/vandermondes-identity-from-the-generalized-product-rule/", "published_at": "2015-08-11T21:38:22+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078dd6de424", "title": "Combinatorial Proofs for the Binomial and Alternating Binomial Power Sums", "url": "https://mikespivey.wordpress.com/2015/07/14/combinatorial-proofs-for-the-binomial-and-alternating-binomial-power-sums/", "published_at": "2015-07-14T21:21:00+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078de5ba62e", "title": "Independence of the Range and Minimum of a Sample from an Exponential Distribution", "url": "https://mikespivey.wordpress.com/2015/06/23/independence-of-the-range-and-minimum-of-a-sample-from-an-exponential-distribution/", "published_at": "2015-06-23T22:35:53+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078de9249ff", "title": "A Double Euler-Mascheroni Sequence", "url": "https://mikespivey.wordpress.com/2015/05/07/a-double-euler-mascheroni-sequence/", "published_at": "2015-05-07T21:58:58+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078ded37598", "title": "Picking Random Points on a Circle (Not a Disk)", "url": "https://mikespivey.wordpress.com/2015/04/17/picking-random-points-on-a-circle-not-a-disk/", "published_at": "2015-04-17T22:33:25+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078df25b9ec", "title": "Proof of the Recursive Identity for the Bernoulli Numbers", "url": "https://mikespivey.wordpress.com/2015/03/09/proof-of-the-recursive-identity-for-the-bernoulli-numbers/", "published_at": "2015-03-09T23:56:52+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078df551534", "title": "Does Pointwise Convergence to a Continuous Function Imply Uniform Convergence?", "url": "https://mikespivey.wordpress.com/2015/02/17/does-pointwise-convergence-to-a-continuous-function-imply-uniform-convergence/", "published_at": "2015-02-17T19:34:44+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078e00bc803", "title": "A Simple Proof That the p-Series Converges for p > 1", "url": "https://mikespivey.wordpress.com/2015/01/07/a-simple-proof-that-the-p-series-converges-for-p-1/", "published_at": "2015-01-08T00:14:35+00:00" }, { "id": "01a0bbb9-6f12-7239-b41a-2078e05f0038", "title": "Proof of the Irrationality of e", "url": "https://mikespivey.wordpress.com/2014/12/15/proof-of-the-irrationality-of-e/", "published_at": "2014-12-15T22:49:50+00:00" }, { "id": "01a0bbb9-6f13-73e5-9c29-364387658cd0", "title": "Some Divisibility Properties of the Binomial Coefficients", "url": "https://mikespivey.wordpress.com/2014/11/12/some-divisibility-properties-of-the-binomial-coefficients/", "published_at": "2014-11-12T19:21:23+00:00" }, { "id": "01a0bbb9-6f13-73e5-9c29-3643878887d8", "title": "Log-Convexity of the Bell Numbers", "url": "https://mikespivey.wordpress.com/2014/10/02/log-convexity-of-the-bell-numbers/", "published_at": "2014-10-02T23:29:51+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d92f898636", "title": "Proving the Existence of Irrational Numbers", "url": "https://mikespivey.wordpress.com/2014/09/10/proving-the-existence-of-irrational-numbers/", "published_at": "2014-09-10T18:03:47+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d93020e675", "title": "Shifts, Finite Differences, and Binomial Transforms", "url": "https://mikespivey.wordpress.com/2014/08/07/shifts-finite-differences-and-binomial-transforms/", "published_at": "2014-08-08T01:46:27+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d930fb960f", "title": "A Combinatorial Proof for the Power Sum", "url": "https://mikespivey.wordpress.com/2014/07/17/powersum/", "published_at": "2014-07-17T17:52:41+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d931828438", "title": "Yet Another Nice Proof of the Derangements Formula", "url": "https://mikespivey.wordpress.com/2014/06/20/derangements3/", "published_at": "2014-06-20T22:44:51+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d9326e5716", "title": "Solving Two-Term Combinatorial Recurrence Relations, Part II", "url": "https://mikespivey.wordpress.com/2014/05/13/solving-two-term-combinatorial-recurrence-relations-part-ii/", "published_at": "2014-05-13T20:05:36+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d93272e4c0", "title": "A Probabilistic Proof of a Binomial Coefficient Identity", "url": "https://mikespivey.wordpress.com/2014/04/21/a-probabilistic-proof-of-a-binomial-coefficient-identity/", "published_at": "2014-04-21T22:21:06+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d9333cac2c", "title": "Euler Sums, Part II: A Symmetry Formula", "url": "https://mikespivey.wordpress.com/2014/03/11/euler-sums-2/", "published_at": "2014-03-11T23:17:12+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d9337877d3", "title": "A Math Error in the New Yorker", "url": "https://mikespivey.wordpress.com/2014/02/25/a-math-error-in-the-new-yorker/", "published_at": "2014-02-26T04:10:00+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d9346fa9b4", "title": "The Maximum Value of Spearman’s Footrule Distance", "url": "https://mikespivey.wordpress.com/2014/01/20/the-maximum-value-of-spearmans-footrule-distance/", "published_at": "2014-01-21T00:59:55+00:00" }, { "id": "01a0bbbd-caed-70b7-ab35-86d9352ef529", "title": "Euler Sums, Part I", "url": "https://mikespivey.wordpress.com/2013/12/14/euler-sums-1/", "published_at": "2013-12-14T22:42:52+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-02690317a157", "title": "Birth-and-Death Process Steady-State Probabilities", "url": "https://mikespivey.wordpress.com/2013/11/08/birth-and-death-process-steady-state-probabilities/", "published_at": "2013-11-08T22:39:03+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-02690409e5e1", "title": "The Product and Quotient Rules for Differential Calculus", "url": "https://mikespivey.wordpress.com/2013/10/25/the-product-and-quotient-rules-for-differential-calculus/", "published_at": "2013-10-25T23:44:34+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-0269043efd7f", "title": "Which is bigger: π^e or e^π?", "url": "https://mikespivey.wordpress.com/2013/09/12/which-is-bigger-%cf%80e-or-e%cf%80/", "published_at": "2013-09-12T22:03:12+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-026904722bdd", "title": "The Expected Maximum of Independent and Identically Distributed Geometric Random Variables", "url": "https://mikespivey.wordpress.com/2013/06/12/expectedmaxgeometric/", "published_at": "2013-06-12T21:09:16+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-026905119f94", "title": "The Expected Maximum of Independent and Identically Distributed Exponential Random Variables", "url": "https://mikespivey.wordpress.com/2013/05/13/expectedmaxexponential/", "published_at": "2013-05-13T17:49:36+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-026905e75a76", "title": "A Combinatorial Proof of a Stirling Number Formula", "url": "https://mikespivey.wordpress.com/2013/04/17/a-combinatorial-proof-of-a-stirling-number-formula/", "published_at": "2013-04-17T22:04:00+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-026905f48e82", "title": "The Catalan Numbers from Their Generating Function", "url": "https://mikespivey.wordpress.com/2013/03/19/the-catalan-numbers-from-their-generating-function/", "published_at": "2013-03-19T21:51:16+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-0269065103a0", "title": "The Exponential Generating Function for the Derangement Numbers", "url": "https://mikespivey.wordpress.com/2013/02/19/expderange/", "published_at": "2013-02-19T23:51:33+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-026906f663d9", "title": "Symmetric 0-1 Matrices with All Eigenvalues Positive, Part 2", "url": "https://mikespivey.wordpress.com/2013/01/25/symmetric-0-1-matrices-with-all-eigenvalues-positive-part-2/", "published_at": "2013-01-25T17:55:11+00:00" }, { "id": "01a0bbc2-50ba-7349-9954-0269072d9ad8", "title": "A Simple Proof that the Largest Eigenvalue of a Stochastic Matrix is 1", "url": "https://mikespivey.wordpress.com/2013/01/17/eigenvalue-stochasti/", "published_at": "2013-01-18T04:31:36+00:00" } ] posts Claim your blog

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2026

Optimizing Against the Field: A Bracket Pool Strategy Using Team Seeds, Part 1 original ↗

10 Apr 2026

Mean Residual Life for the Weibull Distribution original ↗

23 Mar 2026

2022

An Interview Question about Car Replacements original ↗

26 Feb 2022

2021

Two Fallacious Induction Arguments original ↗

16 Sept 2021

Some Corrections to My Paper “A Combinatorial View of Sums of Powers”original ↗

9 Jul 2021

A Connection Between the Riemann Zeta Function and the Power Sum original ↗

18 Jun 2021

Intuition for the Dual in Linear Programming original ↗

1 Apr 2021

2020

The Sum of Cubes is the Square of the Sum original ↗

18 Dec 2020

Happy Birthday, Benoit Mandelbrot original ↗

20 Nov 2020

No Integer Solutions to a Mordell Equation original ↗

30 Oct 2020

Some Video Learning Suggestions original ↗

14 Aug 2020

A Lesson on Converting Between Different Bases original ↗

2 Jul 2020

A Coin-Flipping Problem original ↗

25 May 2020

A Request for a Proof of a Binomial Identity original ↗

2 Mar 2020

Strong Induction Wasn’t Needed After All original ↗

19 Feb 2020

Arguments for 0.9999… Being Equal to 1 original ↗

9 Jan 2020

2019

Diversity Statements in Hiring original ↗

20 Dec 2019

Finding the Area of an Irregular Polygon original ↗

18 Dec 2019

An observation on the unit circle original ↗

16 Sept 2019

Six Proofs of a Binomial Identity original ↗

22 Aug 2019

Zeno’s Paradoxes original ↗

25 Jul 2019

Five Theses on Mathematics in Games original ↗

20 Jun 2019

The Art of Proving Binomial Identities is Now Available original ↗

20 May 2019

Sum of the Reciprocals of the Binomial Coefficients original ↗

25 Apr 2019

The Art of Proving Binomial Identities original ↗

12 Mar 2019

Mathematics in Games, Part 3: Junior Arithmancer original ↗

26 Feb 2019

Mathematics in Games, Part 2: A Beauty Cold and Austere original ↗

23 Jan 2019

2018

Mathematics in Games, Part 1 original ↗

18 Dec 2018

Proof of the Fundamental Theorem of Arithmetic original ↗

14 Nov 2018

Equivalence of Two Binomial Sums original ↗

29 Oct 2018

A Sum of Ratios of Binomial Coefficients original ↗

26 Sept 2018

An Alternating Convolution Identity via Sign-Reversing Involutions original ↗

1 Aug 2018

A Mathematical Riddle original ↗

24 Jul 2018

Infinite Series Expressions for Pi, E, Phi, and Gamma original ↗

25 Jun 2018

Minimum Number of Wagons to Connect Every City in Ticket to Ride – Europe original ↗

29 May 2018

The Max Flow-Min Cut Theorem via Linear Programming Duality original ↗

13 Apr 2018

Solving Second-Order Difference Equations with Constant Coefficients: Part II original ↗

20 Mar 2018

Solving Second-Order Difference Equations with Constant Coefficients original ↗

13 Feb 2018

Adventures in Fine Hall original ↗

20 Jan 2018

A Quasiperfect Number Must Be an Odd Perfect Square original ↗

16 Jan 2018

2017

Determinant of a Symmetric Pascal Matrix original ↗

8 Dec 2017

A Sequence of Right-Hand Riemann Sums Whose Limit Does Not Exist original ↗

13 Nov 2017

Mathematics through Narrative: A Beauty Cold and Austere original ↗

5 Oct 2017

The Validity of Mathematical Induction original ↗

21 Sept 2017

The Divergence of the Harmonic Series original ↗

14 Aug 2017

The Secretary Problem With the Two Best original ↗

19 Jul 2017

Some Thoughts on Teaching Math for Social Justice original ↗

24 Jun 2017

Pascal Matrices and Binomial Inversion original ↗

5 May 2017

Counting Poker Hands original ↗

12 Apr 2017

An Expected Value Connection Between Order Statistics from a Discrete and a Continuous Distribution original ↗

9 Mar 2017

Two Methods for Proving an Alternating Binomial Identity original ↗

22 Feb 2017

A Bonus Question on Convergent Series original ↗

7 Jan 2017

2016

My Experiences on a Post-Election Panel original ↗

12 Dec 2016

Relations That Are Symmetric and Antisymmetric original ↗

22 Nov 2016

How Do You Tell Whether Two Lines Intersect in 3D?original ↗

6 Oct 2016

Cassini’s Identity without Matrix Powers original ↗

6 Sept 2016

Alternating Sum of the Reciprocals of the Central Binomial Coefficients original ↗

26 Aug 2016

Generating Function for the Reciprocals of the Central Binomial Coefficients original ↗

26 Jul 2016

Sum of the Reciprocals of the Central Binomial Coefficients original ↗

21 Jun 2016

A Probabilistic Proof of a Binomial Coefficient Identity, Generalized original ↗

16 May 2016

A Proof of Dobinski’s Formula for Bell Numbers original ↗

18 Apr 2016

Operations Research Makes List of Top 5 STEM Professions Employing Women original ↗

16 Mar 2016

An Explicit Solution to the Fibonacci Recurrence original ↗

11 Mar 2016

Calculating SECA Offsets for Clergy original ↗

22 Feb 2016

Generalized Binomial Coefficients from Multiplicative and Divisible Functions original ↗

15 Jan 2016

2015

Integrality of the Catalan Numbers via Kummer’s Theorem original ↗

15 Dec 2015

An arcsecant/arctangent integral original ↗

5 Nov 2015

Tiling Proofs for the Sum of Even or Odd-Indexed Binomial Coefficients original ↗

9 Oct 2015

Combinatorial Proofs of Two Hagen-Rothe Identities in Concrete Mathematics original ↗

4 Sept 2015

Vandermonde’s Identity from the Generalized Product Rule original ↗

11 Aug 2015

Combinatorial Proofs for the Binomial and Alternating Binomial Power Sums original ↗

14 Jul 2015

Independence of the Range and Minimum of a Sample from an Exponential Distribution original ↗

23 Jun 2015

A Double Euler-Mascheroni Sequence original ↗

7 May 2015

Picking Random Points on a Circle (Not a Disk)original ↗

17 Apr 2015

Proof of the Recursive Identity for the Bernoulli Numbers original ↗

9 Mar 2015

Does Pointwise Convergence to a Continuous Function Imply Uniform Convergence?original ↗

17 Feb 2015

A Simple Proof That the p-Series Converges for p > 1 original ↗

8 Jan 2015

2014

Proof of the Irrationality of e original ↗

15 Dec 2014

Some Divisibility Properties of the Binomial Coefficients original ↗

12 Nov 2014

Log-Convexity of the Bell Numbers original ↗

2 Oct 2014

Proving the Existence of Irrational Numbers original ↗

10 Sept 2014

Shifts, Finite Differences, and Binomial Transforms original ↗

8 Aug 2014

A Combinatorial Proof for the Power Sum original ↗

17 Jul 2014

Yet Another Nice Proof of the Derangements Formula original ↗

20 Jun 2014

Solving Two-Term Combinatorial Recurrence Relations, Part II original ↗

13 May 2014

A Probabilistic Proof of a Binomial Coefficient Identity original ↗

21 Apr 2014

Euler Sums, Part II: A Symmetry Formula original ↗

11 Mar 2014

A Math Error in the New Yorker original ↗

26 Feb 2014

The Maximum Value of Spearman’s Footrule Distance original ↗

21 Jan 2014

2013

Euler Sums, Part I original ↗

14 Dec 2013

Birth-and-Death Process Steady-State Probabilities original ↗

8 Nov 2013

The Product and Quotient Rules for Differential Calculus original ↗

25 Oct 2013

Which is bigger: π^e or e^π?original ↗

12 Sept 2013

The Expected Maximum of Independent and Identically Distributed Geometric Random Variables original ↗

12 Jun 2013

The Expected Maximum of Independent and Identically Distributed Exponential Random Variables original ↗

13 May 2013

A Combinatorial Proof of a Stirling Number Formula original ↗

17 Apr 2013

The Catalan Numbers from Their Generating Function original ↗

19 Mar 2013

The Exponential Generating Function for the Derangement Numbers original ↗

19 Feb 2013

Symmetric 0-1 Matrices with All Eigenvalues Positive, Part 2 original ↗

25 Jan 2013

A Simple Proof that the Largest Eigenvalue of a Stochastic Matrix is 1 original ↗

18 Jan 2013