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"https://ckrao.wordpress.com/2014/06/28/a-few-sums-involving-inverses-of-binomial-coefficients/", "published_at": "2014-06-28T11:11:58+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fac9f955", "title": "The world’s fastest growing countries by population", "url": "https://ckrao.wordpress.com/2014/05/31/the-worlds-fastest-growing-countries-by-population/", "published_at": "2014-05-31T07:24:37+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fb40b670", "title": "Forms of Stewart’s theorem", "url": "https://ckrao.wordpress.com/2014/05/17/forms-of-stewarts-theorem/", "published_at": "2014-05-17T10:41:01+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fb47f1cc", "title": "Historical world population distribution", "url": "https://ckrao.wordpress.com/2014/04/29/historical-world-population-distribution/", "published_at": "2014-04-29T14:31:28+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fc09cb21", "title": "Three and four tangent circles", "url": "https://ckrao.wordpress.com/2014/04/25/three-and-four-tangent-circles/", "published_at": "2014-04-25T12:14:58+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fcb4bb90", "title": "Catching Fire vs Frozen", "url": "https://ckrao.wordpress.com/2014/03/28/catching-fire-vs-frozen/", "published_at": "2014-03-28T05:35:09+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fd2c4a7e", "title": "Inverse variance weighting form of the conditional covariance of multivariate Gaussian vectors", "url": "https://ckrao.wordpress.com/2014/03/26/inverse-variance-weighting-form-of-the-conditional-covariance-of-multivariate-gaussian-vectors/", "published_at": "2014-03-26T05:48:15+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fd48878a", "title": "Australian marsupial genera", "url": "https://ckrao.wordpress.com/2014/02/23/australian-marsupial-genera/", "published_at": "2014-02-23T02:09:18+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fd7907b9", "title": "The validity of the index laws for complex numbers", "url": "https://ckrao.wordpress.com/2014/02/09/the-validity-of-the-index-laws-for-complex-numbers/", "published_at": "2014-02-09T11:47:57+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fe1533b7", "title": "The frequency of 40+ days in Melbourne", "url": "https://ckrao.wordpress.com/2014/01/30/the-frequency-of-40-days-in-melbourne/", "published_at": "2014-01-30T10:14:09+00:00" }, { "id": "01a0c540-e9ca-70a1-8539-0890fe2ba632", "title": "The validity of the index laws for real numbers", "url": "https://ckrao.wordpress.com/2014/01/28/the-validity-of-the-index-laws-for-real-numbers/", "published_at": "2014-01-28T12:51:48+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709d3302e4", "title": "Large day to day temperature increases for Melbourne", "url": "https://ckrao.wordpress.com/2013/12/31/large-day-to-day-temperature-increases-for-melbourne/", "published_at": "2013-12-31T04:07:29+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709d9fbf97", "title": "The binomial theorem for non-positive-integer indices", "url": "https://ckrao.wordpress.com/2013/12/25/the-binomial-theorem-for-non-positive-integer-indices/", "published_at": "2013-12-25T21:16:45+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709e511ae6", "title": "Tendulkar statistics and links", "url": "https://ckrao.wordpress.com/2013/11/30/tendulkar-statistics-and-links/", "published_at": "2013-11-30T23:54:31+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709e81eb4e", "title": "Critical points of polynomials with respect to the roots", "url": "https://ckrao.wordpress.com/2013/11/29/critical-points-of-polynomials-with-respect-to-the-roots/", "published_at": "2013-11-29T13:28:57+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709f090c72", "title": "Sparsely populated regions of Australia", "url": "https://ckrao.wordpress.com/2013/10/30/sparsely-populated-regions-of-australia/", "published_at": "2013-10-30T13:11:50+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709f508db1", "title": "A lower bound for the tail probability of a normal distribution", "url": "https://ckrao.wordpress.com/2013/10/24/a-lower-bound-for-the-tail-probability-of-a-normal-distribution/", "published_at": "2013-10-24T11:17:25+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709f6a3dd1", "title": "Spacecraft missions to outer planets, minor planets or comets", "url": "https://ckrao.wordpress.com/2013/09/18/spacecraft-missions-to-outer-planets-minor-planets-or-comets/", "published_at": "2013-09-18T11:50:44+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b4709fad7d7d", "title": "Polynomial extrapolation of finite exponential sequences", "url": "https://ckrao.wordpress.com/2013/09/16/polynomial-extrapolation-of-finite-exponential-sequences/", "published_at": "2013-09-16T11:40:55+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b470a07b0e98", "title": "UNESCO World Heritage sites with both natural and cultural significance", "url": "https://ckrao.wordpress.com/2013/08/31/unesco-world-heritage-sites-with-both-natural-and-cultural-significance/", "published_at": "2013-08-31T11:29:56+00:00" }, { "id": "01a0c549-a7e9-70f8-9105-b470a07e0999", "title": "Permutations of 1,1,2,2,…,n,n with no two adjacent terms equal", "url": "https://ckrao.wordpress.com/2013/08/28/permutations-of-1122-nn-with-no-two-adjacent-terms-equal/", "published_at": "2013-08-28T21:12:43+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0c9d1451f", "title": "Wide range in maximum temperatures within a month in Melbourne", "url": "https://ckrao.wordpress.com/2013/07/27/wide-range-in-maximum-temperatures-within-a-month-in-melbourne/", "published_at": "2013-07-27T05:02:44+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cac09b49", "title": "Solving a tricky geometry problem using cross ratios", "url": "https://ckrao.wordpress.com/2013/07/25/solving-a-tricky-geometry-problem-using-cross-ratios/", "published_at": "2013-07-25T12:17:05+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cae11d68", "title": "The quarter final streaks of Connors and Federer", "url": "https://ckrao.wordpress.com/2013/06/30/the-quarter-final-streaks-of-connors-and-federer/", "published_at": "2013-06-30T10:36:31+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cb26f771", "title": "Line, surface and volume integrals of different types", "url": "https://ckrao.wordpress.com/2013/06/29/line-surface-and-volume-integrals-of-different-types/", "published_at": "2013-06-29T01:45:10+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cb77989a", "title": "ATP World Tour players of the year", "url": "https://ckrao.wordpress.com/2013/05/31/atp-world-tour-players-of-the-year/", "published_at": "2013-05-31T12:32:52+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cbcfefce", "title": "Sine of half angles", "url": "https://ckrao.wordpress.com/2013/05/25/sine-of-half-angles/", "published_at": "2013-05-25T08:34:18+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cc6d9adb", "title": "A few fast centuries", "url": "https://ckrao.wordpress.com/2013/04/28/a-few-fast-centuries/", "published_at": "2013-04-28T08:58:54+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cd15e4b2", "title": "A few geometric inequalities proved using complex numbers", "url": "https://ckrao.wordpress.com/2013/04/22/a-few-geometric-inequalities-proved-using-complex-numbers/", "published_at": "2013-04-22T11:33:54+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cd604d42", "title": "Great slopes of the world", "url": "https://ckrao.wordpress.com/2013/03/30/great-slopes-of-the-world/", "published_at": "2013-03-30T09:40:40+00:00" }, { "id": "01a0c552-50ed-725a-933d-42a0cdeacb91", "title": "Recovering ratios from two decimal place approximations", "url": "https://ckrao.wordpress.com/2013/03/19/recovering-ratios-from-two-decimal-place-approximations/", "published_at": "2013-03-19T11:52:45+00:00" } ] posts Claim your blog

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2026

Record maximum temperatures in Australia in January 2026 original ↗

8 Feb 2026

2025

Counting rectangles in a staircase polyomino original ↗

16 Dec 2025

2024

Abnormally warm spots in 2024 original ↗

18 Oct 2024

2023

Estimating the distance and speed of a receding vehicle original ↗

5 Jul 2023

2022

Some cricket stats by test series original ↗

15 Feb 2022

2021

Calculating the locations of stars in the sky original ↗

31 Dec 2021

International men’s cricket match streaks original ↗

24 Sept 2021

2020

An identity involving the product of reciprocals original ↗

30 Dec 2020

Charting Test and ODI cricket performances over consecutive innings original ↗

12 Jul 2020

The largest parallelogram in a triangle original ↗

8 Jul 2020

Highest proportion of test scores above m after n innings original ↗

16 Apr 2020

2019

Coordinates of special points of the 3-4-5 triangle original ↗

7 Dec 2019

49+ °C temperatures in Australia original ↗

26 Jan 2019

2018

A collection of energy formulas original ↗

30 Dec 2018

Rafael Nadal in best of five set matches on clay original ↗

12 Jun 2018

A collection of binary grid counting problems original ↗

1 Apr 2018

2017

The evolution of ODI team totals original ↗

26 Dec 2017

Notes on von Neumann’s algebra formulation of Quantum Mechanics original ↗

8 Sept 2017

Busy roads of Melbourne original ↗

27 Aug 2017

The ballot problem and Catalan’s triangle original ↗

30 Jun 2017

Highest aggregates and averages after n test matches/innings original ↗

9 Apr 2017

Two similar geometry problems based on perpendiculars to cevians original ↗

19 Mar 2017

2016

Kohli’s 2016 original ↗

24 Dec 2016

Some special functions and their applications original ↗

19 Dec 2016

Distribution of Melbourne’s length of day original ↗

29 Jul 2016

2016 has many factors original ↗

26 Jun 2016

Recent months of global warmth original ↗

28 Mar 2016

Applying AM-GM in the denominator after flipping the sign original ↗

26 Mar 2016

The race up the charts for two recent movies original ↗

28 Feb 2016

Cutting a triangle in half original ↗

27 Feb 2016

Most wickets after n test matches from debut original ↗

31 Jan 2016

Patterns early in the digits of pi original ↗

30 Jan 2016

2015

Novak Djokovic against younger players original ↗

30 Dec 2015

Areas of sections of a triangle from distances to its sides original ↗

23 Dec 2015

Lowest highest scores in test matches in recent times original ↗

30 Nov 2015

An identity based on three numbers summing to zero original ↗

25 Nov 2015

Highest ODI batting averages over 100 consecutive innings original ↗

31 Oct 2015

The product of distances to a point from vertices of a regular polygon original ↗

28 Oct 2015

First space probes to visit bodies of the Solar System original ↗

28 Sept 2015

The simplest Heronian triangles original ↗

20 Sept 2015

Recap of the 2015 World Championships in Athletics original ↗

31 Aug 2015

The discriminant trick original ↗

28 Aug 2015

Nineteenth century non-avian dinosaur discoveries original ↗

30 Jul 2015

Compositions of positive integers where adjacent parts have different parity original ↗

25 Jul 2015

The Pakistan heat wave of 2015 original ↗

30 Jun 2015

Places we see powers of 2 original ↗

22 Jun 2015

Test pace bowlers to have conceded 100 runs in an innings the most original ↗

31 May 2015

A collection of proofs of Ptolemy’s Theorem original ↗

24 May 2015

Number of countries that have abolished the death penalty by year original ↗

30 Apr 2015

Distances to a line from vertices of a regular polygon original ↗

19 Apr 2015

2015 ICC Cricket World Cup Attendances original ↗

31 Mar 2015

A triangle centre arising from central projections original ↗

28 Mar 2015

Large US+Canada box office openings original ↗

28 Feb 2015

Cross sections of a cube original ↗

27 Feb 2015

AB de Villiers’ fastest ODI century original ↗

30 Jan 2015

Affine Transformations of Cartesian Coordinates original ↗

26 Jan 2015

2014

Types of -saurs that are not dinosaurs original ↗

15 Dec 2014

Basic combinatorics results original ↗

14 Dec 2014

Fastest to n test centuries for n sufficiently large original ↗

23 Nov 2014

A cute sum of Ramanujan original ↗

22 Nov 2014

Mountain ranges of the world original ↗

30 Oct 2014

An integral related to Bessel polynomials original ↗

25 Oct 2014

Players with low test cricket + one day international cricket bowling averages original ↗

25 Sept 2014

A good simple approximation of the complementary error function original ↗

15 Sept 2014

Players with high test cricket + one day international cricket batting averages original ↗

31 Aug 2014

Waiting times and the size biased distribution original ↗

30 Aug 2014

A minimal list of countries whose borders span all nations original ↗

30 Jul 2014

Harmonic numbers in terms of binomial coefficients original ↗

26 Jul 2014

Melbourne’s late start to cooler temperatures in 2014 original ↗

29 Jun 2014

A few sums involving inverses of binomial coefficients original ↗

28 Jun 2014

The world’s fastest growing countries by population original ↗

31 May 2014

Forms of Stewart’s theorem original ↗

17 May 2014

Historical world population distribution original ↗

29 Apr 2014

Three and four tangent circles original ↗

25 Apr 2014

Catching Fire vs Frozen original ↗

28 Mar 2014

Inverse variance weighting form of the conditional covariance of multivariate Gaussian vectors original ↗

26 Mar 2014

Australian marsupial genera original ↗

23 Feb 2014

The validity of the index laws for complex numbers original ↗

9 Feb 2014

The frequency of 40+ days in Melbourne original ↗

30 Jan 2014

The validity of the index laws for real numbers original ↗

28 Jan 2014

2013

Large day to day temperature increases for Melbourne original ↗

31 Dec 2013

The binomial theorem for non-positive-integer indices original ↗

25 Dec 2013

Tendulkar statistics and links original ↗

30 Nov 2013

Critical points of polynomials with respect to the roots original ↗

29 Nov 2013

Sparsely populated regions of Australia original ↗

30 Oct 2013

A lower bound for the tail probability of a normal distribution original ↗

24 Oct 2013

Spacecraft missions to outer planets, minor planets or comets original ↗

18 Sept 2013

Polynomial extrapolation of finite exponential sequences original ↗

16 Sept 2013

UNESCO World Heritage sites with both natural and cultural significance original ↗

31 Aug 2013

Permutations of 1,1,2,2,…,n,n with no two adjacent terms equal original ↗

28 Aug 2013

Wide range in maximum temperatures within a month in Melbourne original ↗

27 Jul 2013

Solving a tricky geometry problem using cross ratios original ↗

25 Jul 2013

The quarter final streaks of Connors and Federer original ↗

30 Jun 2013

Line, surface and volume integrals of different types original ↗

29 Jun 2013

ATP World Tour players of the year original ↗

31 May 2013

Sine of half angles original ↗

25 May 2013

A few fast centuries original ↗

28 Apr 2013

A few geometric inequalities proved using complex numbers original ↗

22 Apr 2013

Great slopes of the world original ↗

30 Mar 2013

Recovering ratios from two decimal place approximations original ↗

19 Mar 2013