arctan(1) + arctan(2) + arctan(3) = ?

Trigonometric functions are vastly used in many different areas, and so are inverse trigonometric ones. This question is about the latter.

Some think mathematics is only an abstract notion. Here in this BLOG, we not only present its pure beauty, but also its existence in Nature.

arctan(1) + arctan(2) + arctan(3) = ?

Trigonometric functions are vastly used in many different areas, and so are inverse trigonometric ones. This question is about the latter.

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Sum of Cubes of n Natural Numbers

Closed form for the sum of cubes of n natural numbers is derived here. An interesting identity is given at the end.

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Which one is Bigger?

Which number is bigger, 100 to the power 101 or 101 to the power 100?

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Do we really need a calculator to find the sine of 1 degree?

We give a highly accurate and precise estimate for the value of sine 1 degree. All is done by just using basic four operations.

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How to Solve Cubic Equations

In this review article, we present the derivation of the quadratic and cubic formulae by using the geometrical symmetries in each case.

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Numbers Around a Circle

There are 201 numbers distributed around a circle such that the sum of 18 consecutive numbers is 12. Find the numbers based on the fact that

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Mathematical Shape of a Hanging Cable from Two Poles

Shape of a Hanging Cable from Two Poles is determined here. This is the famous catenary problem in Physics.

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Probability of seeing your friend

Two friends are meeting at a coffee shop. If they can see each other there with 50% probability, for how long does each one need to wait?

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Probability to form a Triangle by breaking a Rod

A rod with length L is broken into three pieces. Can you find the probability for forming a triangle out of these three pieces?

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MINIMUM WHOLE NUMBER VALUE

ARITHMETIC MEAN vs GEOMETRIC MEAN Copyright © 2021 Ashlar STEM Academy

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An Interesting Geometry Problem

Finding the minimum of a function with multiple variables DOWNLOAD THE SOLUTION (PDF, 360KB) Copyright © 2021 Ashlar STEM Academy

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Counting The Number of Ways

It is always a daunting task for most studying probability or mathematical statistics to figure out the number of ways a selection can be...

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SMOOTH GOLDEN EGGS

In this paper, I demonstrate how to plot smooth “Golden Eggs” using mathematical functions.

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Converting Decimals to Binaries

We present how to convert both whole and fractional decimal numbers to their binary equivalents.

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4 Gallons of Water PUZZLE!

Suppose you were given one three-gallon-bucket and one five-gallon-bucket. There is also a water tap available for you to fill these...

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What are the two numbers?

One day I run into two of my friends from university, Rosalind and Max. We immediately started to talk about science and math as we used...

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Why do we use base 10 number system?

Starting our elementary school years, we all learn how to do arithmetic using the number system of base 10. All basic operations are...

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