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By default, graphing and scientific calculators display fractions as decimals. So if you enter a simple fraction, such as 1/2, the display reads 0.5. Some scientific calculators offer a feature that allows you to display fractions without making the conversion.…
In trigonometry, the law of sines is a formula that develops a relationship between a triangle’s angles and the lengths of its sides. As long as you know at least two sides and one angle, or two angles and one…
Unlike an equilateral triangle with its three equal sides and angles, an isosceles one with its two equal sides, or a right triangle with its 90-degree angle, a scalene triangle has three sides of random lengths and three random angles.…
As mathematics developed over the course of history, mathematicians needed more symbols to represent the numbers, functions, sets, and equations that were coming to light. Because most scholars had some understanding of Greek, the letters of the ancient Greek alphabet…
Max Planck, a German physicist in the late 1800s and early 1900s, worked intensely on a concept called black-body radiation. A black body is both the ideal absorber and the ideal emitter of light energy (electromagnetic radiation), not unlike the…
The potential difference in a circuit is what causes current to flow through the circuit. The larger the potential difference, the faster the current will flow and the higher the current. The potential difference is the measure of the difference…
The grass in a rectangular yard needs to be fertilized, and there is a circular swimming pool at one end of the yard. The amount of fertilizer you need to purchase is based on the area needing to be fertilized.…
Before the 1590s, simple lenses dating back as far as the Romans and Vikings allowed limited magnification and simple eyeglasses. Zacharias Jansen and his father combined lenses from simple magnifying glasses to build microscopes and, from there, microscopes and telescopes…
The natural world is full of examples of periodic motion, from the orbits of planets around the sun to our own heartbeats. All of these oscillations involve the completion of a cycle, whether it’s the return of an orbiting body…
There was a 1960s musical group that performed under the moniker The Fifth Dimension, but this is only one association with the 5th dimension. The other perspective, posited by Swedish physicist Oskar Klein, concerns a dimension unseen by humans where…
