By: James W Fairley
Although Bayesian statistics is regarded as something new, The Reverend Thomas Bayes theorem was first published in 1763. It is quite simple. It is a way of calculating the odds of something happening, if you already know something else. We use the principle, naturally and...
By: Kerry Kauffman
A triangle is a 3-sided geometric figure, whose sides are line segments, with 3 angles and 3 vertices. The sum of the measures of the angles of a triangle is 180 degrees. There are several different types of triangles, which I will introduce and explain...
By: A. South
Otto Ludwig Holder influenced math in a number of areas. His main contributions include work on the convergence of Hourier series and the uniqueness of the factor groups in a composition series.Holder was born on December 22 in the year 1859. The aspiring mathematician...
By: Raven Lebeau
A triangle consists of three line segments forming a closed figure. In general, closed figures composed of line segments are called "polygons," a word whose etymology contains the Greek words for "many" and "sides". Triangles with three equal sides (and hence three equal angles)...
By: Raven Lebeau
Life is stochastic, and those who refuse to embrace uncertainty will be doomed to fear it. Insurance companies, successful investors, and competent leaders use their understanding of statistics and probability to make decisions that result in the best expected outcome possible. Ok, there are no...
By: Raven Lebeau
Cantor sought to distinguish between "countably infinite" and "uncountably infinite" sets. His proof that the real numbers are uncountably infinite is a classic idea in set theory, regurgitated onto exams by first year graduate students everywhere. The cardinality of the real numbers is denoted "C"...
By: Jim Wood
Which way is up?We are now living in a world where most everything has been discovered for us. We are told that there are just so many planets and how far apart they are, how big they are, why they revolve around he Sun...
By: Ernest Capraro
The Area of a Circle - Proof and UnderstandingDiscussing the area formula of a circle must involve three separate, though interrelated discussions. First a working definition of "area" is required. The number pi is necessary in most calculations involving circles, and certainly appears in the...
By: Ernest Capraro
Finding the Area of Any QuadrilateralQuadrilaterals are four-sided, two-dimensional figures. There are numerous formulas that are taught for computing their areas, but they can all be found from a single source. Any quadrilateral can be divided into two triangles by drawing a line segment that...
By: M. Cotton
A well-known savant skill is the ability to tell you what the day of the week any date is on in a matter of seconds. For example, if you tell them you were born on May 3, 1978, the savant could tell you that it...

 

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