]]>The following is a puzzle from Rational Amusements from Winter Evenings (1821) by John Jackson: If from six ye take nine, and from nine ye take ten (Ye youths, now the mystery explain;) And if fifty from forty be taken, there then, Shall just half a dozen remain. Can you figure out what’s going on? This is […]

Here’s an excerpt:

]]>A New York City subway train holds 1,200 people. This blog was viewed about

4,100times in 2014. If it were a NYC subway train, it would take about 3 trips to carry that many people.

First things first, let’s know who was Eratosthenes, then we will proceed for the answer to this task. Eratosthenes of Cyrene was a Greek mathematician, geographer and astronomer (he yearned to understand the complexities of the entire world so he was devoted to many areas).[1] He lived between 276…]]>

First things first, let’s know who was Eratosthenes, then we will proceed for the answer to this task.

Eratosthenes of Cyrene was a Greek mathematician, geographer and astronomer (he yearned to understand the complexities of the entire world so he was devoted to many areas).[1] He lived between 276 BC – 194 BC and during that time he changed the way we view the world. He created geography and made some progress in science especially mathematics (he created a tool for discovering prime numbers).[2] He is now known for being the first person to measure the Earth’s circumference. [3]

If you didn’t understand it completely, here is better explained. (Any doubt or suggestion be sure to leave it in the comment section)

[4]

References and further reading.

[1] – Eratosthenes – Wikipedia

[2] – Eratosthenes – The MacTutor History of Mathematics archive

[3] – Eratosthenes – Encyclopaedia Britannica

[4] – (Project…

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via Dilbert.com]]>

Today topic is Geometry. PowerPoint: Maths Olympiad – Geometry PDF worksheet: Maths Olympiad-Junior1-Lesson16-Geometry.pdf]]>

Today topic is Geometry.

PowerPoint: Maths Olympiad – Geometry

PDF worksheet: Maths Olympiad-Junior1-Lesson16-Geometry.pdf

Take a look at this color-coded one-sentence explanation: The Fourier Transform, explained in one sentence]]>

Take a look at this color-coded one-sentence explanation:

A TED-Ed video concerning the nature of numbers, narrated by Jeff Dekofsky, it will make you wade in a deep question… Do you think that mathematics exists or is it a mere invention of mankind?]]>

A TED-Ed video concerning the nature of numbers, narrated by Jeff Dekofsky, it will make you wade in a deep question… Do you think that mathematics exists or is it a mere invention of mankind?

The previous set of posts on the Compasses fractal back in 2011 did not cover positive integer powers greater than 2. The Compasses formula has changed slightly, there are now three parameters instead of two, the location in the complex plane, c, was incorporated directly in the original formula. The…]]>

The previous set of posts on the Compasses fractal back in 2011 did not cover positive integer powers greater than 2. The Compasses formula has changed slightly, there are now three parameters instead of two, the location in the complex plane, c, was incorporated directly in the original formula. The current version of Saturn allows any parameter to be set to c or -c so the original formula can be reproduced.

The formula is:

z = z^{?} – ??^{? – 1}z + ?

With ? = 2, ? = c and ? = 0 the formula becomes:

z = z^{2} – 2cz

To find the critical point f'(z) = 0 needs to be solved:

f(z) = z^{2} + 2cz

f'(z) = 2z – 2c =…

so there is one critical point c, the location in the complex plane. The initial value of z is set…

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A paradox, in logic, is a statement that somehow contradicts itself but seems impossible to disprove or reason out. Call it what you may, a contradiction in terms, an inconsistency/ incongruity/ anomaly, it doesn’t change the hours of sleep I’ve lost over them. The Barbershop Paradox, the Drinker Paradox,…]]>

A paradox, in logic, is a statement that somehow contradicts itself but seems impossible to disprove or reason out. Call it what you may, a contradiction in terms, an inconsistency/ incongruity/ anomaly, it doesn’t change the hours of sleep I’ve lost over them. The Barbershop Paradox, the Drinker Paradox, the Paradox of Entailment, the Lottery Paradox and one of my favorites (and by ‘favorite’ I mean the ones that makes me want to rip my face off) – The Zeno’s Paradox.

Now I like this one quite a bit because there’s a little story that comes along with it.

One day Achilles and a tortoise were having a race (don’t ask me why, I don’t even know man) and Achilles allowed the tortoise a 100 meter head start because the poor thing is pretty slow. So once the tortoise reached that 10 meter mark, Achilles started sprinting to catch up…

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