# Mathematics

Mathematics: Statistics and probability
By: Peter Flom
Statistics and probability are related fields in mathematics, but the nature of the relationship is a little tricky. Statistics is used to mean several things, including the collection of data, which is part of descriptive statistics. But the part of statistics that is related to...
 Is Dividing by zero Impossible By: Angel Sosa Division by 0… is a very harsh debate unto which should be interpreted as a very real possibility. Is it impossible, well, let's see. Lets rule out the already “well, it's an unimaginable idea,” along with, “it's not a real concept to...
Explaining the Poincare conjecture
By: Jim Needham - 602320
Henri Poincaré (French mathematician, 1854 – 1912) posed the question in 1904 whether any three dimensional surface with a few specific properties was in some mathematical sense equivalent to the three dimensional sphere. Poincaré's famous conjecture is an excellent example of a general methodology...
Understanding the Pythagorean theorem
By: Sunil Bhandari
Pythagorean Theorem is one of the oldest theorems known to humans and also is one of the most widely used. Its discovery has been attributed to Pythagoras of Greece but various historical documents show that this theorem has been known to humans from earlier times...
Explaining fractions to beginners
By: Allen Gates
Fractions can be difficult to work with since they are intimidating and have their own set of rules. Many students struggle in math classes because they do not have a good grasp on fractions. It takes a while for it to click with some students...
The role of paradox in the development of mathematics
By: Joseph Kim
"Alicia, does our relationship warrant long-term commitment? I need some kind of proof, some kind of verifiable, emprical data" "I'm sorry, just give me a moment to redefine my girlish notions of romance." - from A Beautiful Mind A paradox is something that appears...
Zero Multiplication may seem to be Logically Moot
By: Jay O'Toole
Definition of terms is the first step in communication. "Zero," "multiply," "possibility" are all terms, fraught with myriad layers of meaning in a world in which the highest level of maturity is defined as not taking a position on any subject. In the...
Idea of zero in mathematics
By: Jay O'Toole
The idea that the shape of a doughnut stands for the concept of nothing is slightly humorous on the one hand and logically problematic on the other. Where do we begin to describe the idea of "zero?" We can start with everything that we...
Explaining the Poincare conjecture
By: Jay O'Toole
It is arguable that mathematicians possess the most intricate minds on Earth. Concepts that cause the "average Joe-on-the-street" to stagger at their importance are topics for the water cooler among mathematicians. The Poincare' Conjecture is just such a topic. The Poincare' Conjecture is effectively mathematics...
An introduction to the main statistical terms
By: Lisa Putnam
Statistics is the science of collecting data through the use of surveys and experiments and interpreting that data with mathematical formulas. Nearly every college student takes at least one class of statistics as it is used in the social sciences, natural sciences, business, government, and...

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