Interpolation is a method in which new data can be mathematically produced using a set of previously known data. This can be employed when transforming digital images (pictures on a computer).
A blogger has touched on the subject already in a previous post named, “Resizing Digital Images Using Interpolation”. There, many different methods that are used […]

There is a rise of using mathematical models to treat patients.  It is hoped that by having a computational model of biological processes, it can become easier to diagnose and treat patients. 
 One example is the HIV virus.  This virus, transcripted by a retrovirus, is known to evolve rapidly.  Thus a drug that targets a certain […]

In today’s day and age security is a huge requirement for computers.  This is even more important when the data is contained on a multi user computer or a computer that is portable and taken everywhere.  Technologies are available to encrypt and protect blocks of data or even entire hard drives.  People tend to fully […]

The method of interpolation, or deriving an estimation of an unknown function from a small set of data, has many applications in the area of digital imagery. Digital images can include anything from simple graphics in a web page to photographs uploaded from your digital camera that can be several mega pixels in size. […]

In scientific computing, units give a valuable check to make sure that all calculations were valid. For example, adding meters to seconds is a nonsensical operation, and should thus be reported as an error. Mathematica allows for unit checking with its Units package. However, few general purpose programming provide this functionality. In some languages, such […]

When there is an outbreak of disease and observed that the disease quickly spreads in an area, it is hard to accurately describe or predict such phenomenon without the help of computer modeling. Computer simulations allow scientists to explain the way diseases spread in an area in detail that would not have been possible […]

As CPU technology has progressed, the top companies have pushed to get their processors to push to higher and higher speeds. Unfortunately, this required more and more power. At a time when it would be unreasonable to make even more power-hungry CPUs, the industry has almost completely switched over to multi-core architectures. […]

We have in the past few weeks implemented root-finding algorithms to create images as the first class project. The Bisection method, the Regula Falsi method, Newton’s method, and Secant method are all suggested to be used to supply roots to a ray-casting program. The project not only confirms the importance of considering algorithm differences […]

The golden ratio is a mysterious irrational number that appears in mathematics, nature and the arts.

The history of the golden ratio begins with Euclid’s comment in “Elements” about a point divides a line into an “extreme and mean ratio.” Afterward intellectuals began studying this ratio and found several links to other mathematical aspects such as […]

Gordon Moore, over 40 years ago, noticed a fairly simple trend in electronics and included it in an article he was asked to write for Electronics on the future of electronics. Little would he know that this would not only prove to hold almost perfectly true till today, but also have such a large impact […]