Category Archives: Mathematics

Mathematics uses many concepts in threes. The first structure mathematically is a triangle. There are acute, right, and obtuse angles. Trigonometry is the study of the relationship of the sides of a triangle. Have your heard of Pascal's Triangle?

Fahrenheit Celsius Kelvins – composite functions

Fahrenheit Celsius Kelvins
Fahrenheit Celsius Kelvins
In 1954, the tenth general conference on weights and measures adopted the Kelvin K as the basic unit for measuring all international weights and measures. While the kelvin is the standard unit, degrees Farenheit and degrees Celsius are still in common use in the United States. 

The function C(F)=5/9(F-32) relates Celsius temperatures and Farenheit Temperatures. The function K(C)= C + 273.15 relates celsius temperatures and kelvin temperatures.

Let’s convert Fahrenheit to Kelvin. The composition of the function K with the function C is 

K(C(F)) = C(F) + 273 = (5/9)(F-32) + 273 

Since C converts Fahrenheit to Celsius and K converts Celsius to Kelvin, the composition will convert Fahrenheit to Kelvin.  

The Rule of Three in Mathematics

rule-of-three-calculator-150x150The Rule of Three is a Mathematical Rule that allows you to solve problems based on proportions. By having three numbers: a, b, c, such that, ( a / b = c / x), (i.e., a: b :: c: x ) you can calculate the unknown number. The Rule of Three Calculator uses the Rule of Three method to calculate the unknown value immediately based on the proportion between two numbers and the third number.

The working of the Rule of Three Calculator can be expressed as follows:

Rule of Three Calculator

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Math is racist: How data is driving inequality


By Aimee Rawlins September 06, 2016 17:24PM ED

These “WMDs,” as she calls them, have three key features: They are opaque, scalable and unfair.

It’s no surprise that inequality in the U.S. is on the rise. But what you might not know is that math is partly to blame.

In a new book, “Weapons of Math Destruction,” Cathy O’Neil details all the ways that math is essentially being used for evil (my word, not hers).

From targeted advertising and insurance to education and policing, O’Neil looks at how algorithms and big data are targeting the poor, reinforcing racism and amplifying inequality.
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brainteaser – 4 squares to 3 squares

4 squares with 12-toothpicks
4 squares with 12-toothpicks

Here is a brainteaser involving 12 toothpicks that’s melting the grey matter of the entire internet. Can you beat it? The challenge is to turn this four-square pattern into just three squares. The rules? You can only move one toothpick at a time in any manner wish, but you cannot break or modify the toothpicks.

Answer below:

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Euler’s Formula

Euler’s Formula says: for any convex polyhedron (which includes the five Platonic Solids) the Number of Faces plus the Number of Vertices (corner points) minus the Number of Edges always equals 2
 It is written: F + V – E = 2

cube
cube

Try it on the cube:

A cube has 6 Faces, 8 Vertices, and 12 Edges,

so:

6 + 8 – 12 = 2

Source: http://www.mathsisfun.com/geometry/platonic-solids-why-five.html