A look at how using the difference of two squares can speed up your mental arithmetic with large numbers
It's common knowledge that the square root of two is an irrational number, but how can we prove it? Find out in this quick mathematics article.
Unlike other primates, the fat-tailed dwarf lemur hibernates in winter. Studying this behaviour might be useful for enabling long-distance space travel in humans.
Learn how to rationalise the denominator in this quick high school mathematics article.
Catnip contains a chemical called nepetalactone. This repels mosquitoes by affecting their TRPA1 channels. We contain these channels as well, but catnip doesn’t affect them.
When learning about surds/radicals at school, we are always told to rationalise the denominator. But what does this mean and why do we do it? Find out why in this quick mathematics article.
Surely you have heard of them all, right? Sometimes though there are new ones, hidden within old ones...
Amazing technological textiles has been a science fiction trope for years. But now, it is entering reality and in some surprising applications …
New propulsion methods are needed if we are to explore outer space in a timely - and cost-effective - manner. But does this drive violate physics?
Two criminals have been arrested for a crime, but the police don't have enough evidence to convict. They offer each criminal the chance to reduce their sentence by testifying against the other, but is this the best option? Find out in this quick math article.
SARS-CoV-2 causes the COVID-19 disease. Spike proteins and glycans enable the virus to infect us and are research targets for the creation of vaccines and medicines.
The village of Smallville and the Intergalactic Gods have both had five metres of boundary rope stolen from their circular cricket pitches. They have vastly different sized pitches, so whose pitch will reduce in radius the most?
Alan has the best scoring average in the first half of the basketball season and the best scoring average for the second half of the season, but when everything is tallied together he finds that it is Brian who has the highest average over the season. Find out how in this quick math article.
This article will provide a look at Hilbert's Paradox of the Grand Hotel, also known as the 'Infinite Hotel Paradox'. Find out how to fit extra guests into the infinite hotel, even when every room is occupied!
This article has what you need to know about the amazing rare beetle that is the official state insect of Rhode Island
Learn how to evaluate and simplify the limits of indeterminate forms using L'Hopital's Rule. This article includes L'Hopital's Rule Proof, when to use it, and examples with solutions about finding the limit of various functions.
This article has what you need to know about the beautiful Sandia hairstreak butterfly, Callophrys mcfarlandi, including its food plants and early forms.
This article includes problems with solutions teaching how to convert rectangular to cylindrical coordinates and vice versa, identify the surfaces in the cylindrical coordinate system, and find a cylindrical equation of three-dimensional spaces.
Learn how to use the Divergence Test in determining the convergence or divergence of a series.
Learn how to solve the derivative of constant times a function through a step-by-step Constant Multiple Rule method.
Learn how to solve problems about cofunction identities in trigonometry. This article also includes formulas, proofs, and examples with solutions that can help you fully apply the cofunction trigonometric identities.
This article has what you need to know about the beautiful Spicebush swallowtail butterfly (Papilio troilus), including its food plants and early forms.
Some mistakes carry more weight than others. But in physics, even a small level of imprecision can change the picture completely...
The definition of the term "native plant" can seem very complicated, but there are some elements that help to keep it simple. The "official" definitions of native plants that come from official agencies all seem to have three basic elements in common.
Learn how to find the linear approximation or differentials of a function at a given point. This article also includes formulas, proof, and examples with solutions that can help you fully understand the Linear Approximation topic in Calculus.
Have you ever wondered how a beetle flies? After all, these insects come in many varied shapes and sizes, and they look far from being built for effective flight. We usually see these creatures scurrying along the ground or rummaging among the undergrowth where they seem more at home.
This article examines the fearsome and deadly snake known as the Egyptian cobra. The snake's behavioral patterns, venom toxicity (in relation to humans), habitat, reproduction, and general characteristics are discussed at length.
This article has what you need to know about the beautiful zebra swallowtail butterfly (Protographium marcellus), including its food plants and early forms.
A how-to guide for adding to your PATH environment variable in the Windows 10 operating system. Python is used as an example throughout this tutorial, but it can easily be adapted to work for any application you're looking to add to your PATH variable.
Trees are amongst the tallest organisms in the world and can grow to more than 100 meters in height. The importance of these living things is as the primary source of our sustenance: food, oxygen, shelter, woods, etc. This article shares 10 fun facts about trees that you maybe didn't know.
The slope of a line is the direction in which the line goes. You can calculate it as the ratio between horizontal change and vertical change, or you can use the derivative.
Finding the intersection is something that comes up a lot in math. To do this you need to set the expressions equal and solve for x. Then you can determine y by filling in the x you found.