How to Find Limits of Mathematical Functions

"The Need for Limits" by Mike DeHaan

Why Mathematics Needs Limits   In algebra, sometimes we cannot simply plug a value into a formula and calculate the answer. A common example occurs if we need to “divide by zero”. Remember, if we say “a=b/c”, it means that “b=a*c”. But if ‘c’ has the value of zero, and ‘b’ is non-zero, then there [...]

Schizophrenia Research: Recent Advances in Treatment and Diagnosis

http://www.flickr.com/photos/zooboing/4743616313/sizes/o/in/photostream/

Schizophrenia Research Sheds Light on the Mental Disorder: Image by Patrick Hoesly Notwithstanding the popular notion of schizophrenia resulting in a “split mind” similar to multiple personality disorder, schizophrenia is a severe mental disorder characterized by delusions, hallucinations, and cognitive deficits.  Despite affecting approximately one in 100 people, after a century of study schizophrenia is still a puzzle. [...]

Facial Recognition Software in Online Gaming and Crime Prevention

Social media and facial recognition: Image courtesy of Viewdle

Facial recognition technology is becoming entrenched in our society; a part of everything from social media to law enforcement. How does the software determine identity with a photo, anyway? Points of Recognition Each face is unique, despite general structural similarities. Today’s facial recognition programs use a complex algorithm to compare an image of a face [...]

James Webb Space Telescope: Hubble’s Successor in Space Exploration

Full Scale Model of James Webb Space Telescope on Display at Northrop Grumman

A new space telescope is in development and construction by Northrop Grumman, called the James Webb Space Telescope (JWST). This new telescope is not a replacement for the Hubble, it is its successor. Unlike Hubble’s primary optical and ultraviolet light observations of space with some infrared ability, the JWST will use infrared as its primary [...]

From the Cartesian Plane to the Areas of Rectangles and Triangles

"René Descartes (original by Frans Hals in public domain)" by Rafael Robles L.

This article deals with calculating the areas of squares and triangles. It is an easy introduction to a series eventually leading to calculus, the mathematics of Newton and Leibniz. But let’s not put the cart before the horse. On second thought, we do need to start with Descartes. The Cartesian Plane   René Descartes, a [...]