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.
Drinking radioactive water was promoted as a cure-all medication in the 1920s; too bad about the casualties.
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 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.
Some mistakes carry more weight than others. But in physics, even a small level of imprecision can change the picture completely...
While a likely hypothetical star class, it does have advantages to the stellar models we predict should be true.
This article discusses the migration, feeding peculiarities, and lifecycle of the beautiful monarch butterfly.
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.
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.
What do you think of when you hear the word infinity? Can there by different sizes of infinity? Find out in this quick math article.
This article has what you need to know about the Kamehameha butterfly, Vanessa tameamea, including its food plants and early forms.
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.
This article has what you need to know about the state insect of Arkansas, the beautiful Diana fritillary butterfly (Speyeria diana), including its food plants and early forms.
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.
Sexism in science has a long history and it’s often exemplified in the failure to award Nobel Prizes to some highly accomplished women.
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.
This article discusses the migration, feeding peculiarities, and lifecycle of the beautiful monarch butterfly.
Llamas produce tiny versions of antibodies known as nanobodies. These might be helpful in dealing with the SARS-CoV-2 virus that causes the COVID-19 infection.
Short answer: maybe. Long answer: well, it's complicated. . .
Flavors imply taste and satisfaction. Well, neutrinos are hardly either of those, but the mechanisms behind the different types can yield many surprising facts.
The variance of a probability distribution is a measure to quantify the spread of a distribution. If the variance is low, all outcomes are close to the mean, while distributions with a high variance have outcomes that could be far away from the mean.
This article has what you need to know about the beautiful tiger swallowtail butterfly (Pterourus glaucus), including its food plants and early forms.
The mean is the most important measure of probability distributions. It tells a lot about the likelihood that certain events will happen.
This article has what you need to know about the amazing Carolina mantis, including its predatory habits and natural history.
If you were asked to add together all of the numbers from 1 to 100, what would you do? Would you go through each number, adding to your total as you went or is there a quicker way? Find out in this article.
This article discusses the metamorphosis, diet, and migration of the monarch butterfly, Illinois' state insect.
A CSS reset allows you set the properties for certain HTML tags to zero to override the web browser's default style. How can you implement the best CSS reset? I'll teach you here.
This article has what you need to know about the State insect of Georgia, the fascinating western (AKA European) honeybee.
This article has what you need to know about the beautiful vivid dancer damselfly, including its habits and early forms.
The Pythagorean theorem is one of the most well-known theorems in math. It describes the length of the hypothenuse of a right triangle using the lengths of the other sides.
This article has what you need to know about the beautiful California dogface butterfly, including its food plants and early forms.
This article has what you need to know about the beautiful monarch butterfly, including its food plants and early forms. This is one of Alabama's two state insects.
This article has what you need to know about the beautiful four-spotted chaser dragonfly, including its habits and early forms.
This article has what you need to know about the beautiful tiger swallowtail butterfly (Pterourus glaucus), including its food plants and early forms.
This educational article introduces young people to the biology of amphibians. It describes the differences between frogs, toads, salamanders, newts, and others and explains the amphibian life cycle in clear, easy-to-understand language.
Corals argue and smootch. They grow taller than buildings and follow fish. They even beat up bullies with bodyguards.
Organoids are small and simplified versions of organs that are made from stem cells. They may enable us to create new medical treatments and better understand how organs work.
A right triangle is a triangle in which one angle is right, meaning it is exactly 90°. For these triangles, it is possible to calculate the other angles using goniometric functions as the sine, cosine and tangent.
The inverse function of a function f(x) tells you which x you need to fill in in f to get a certain outcome. It therefore can be very useful in practice.
The limit of a function describes how the function behaves in the neighborhood of some value. Often, it is interesting to look at the limit for x to infinity. This describes what happens when you would follow the line of the graph of the function until "the end".