Calculus: The basics
By: Freddy Tay
Calculus is a discipline in mathematics that describes changes. Over the century, mathematicians have pored over examples from the real world and derived tools and theorems to help us solve and understand the volatility in application. Algebra alone is insufficient to represent problems in a...
Mathematics statistics: Confidence intervals and confidence limits
By: Peter Flom
There are two broad branches of statistics: Descriptive statistics and inferential statistics. Rather sensibly, descriptive statistics is about describing something, and inferential statistics is about making instances. Suppose, for instance you were interested in the heights of children in 4th grade. If you only wanted...
Calculus: The basics
By: Peter Flom
What is calculus? Although it is a huge subject, it is really about two fundamental ideas: differentiation and integration. Differentiation is a sophisticated form of division, and tries to get at 0/0. Integration is a sophisticated form of multiplication and addition, and tries to get...
Philosophical reflections: What is mathematics?
By: Peter Flom
I contend that what we commonly call "math" is really three subjects: 1) Arithmetic calculation 2) Quantitative reasoning 3) "Real" Math which is made up of .....a) Pure math .....b) Applied math and that these really have not all that much to do with each...
Cantor's Infinity Proof Made Easy
By: Peter Flom
How many numbers are there? Silly question, right? They never stop! Let's talk about the counting numbers: 1, 2, 3, 4 .... that ... means "and so on", and little kids know that there is no biggest number. It's *infinity*. How big is infinity? How should...
By: Peter Flom
What is a statistical graph? A good statistical graph is, most often, a way of summarizing a lot of numeric information in a relatively small space. What should you think about before starting work on a statistical graph? There are at least five things to...
What is a good statistical graph?
By: Laura Lee Winger
Graphs are visual representations of data, and can therefore serve a number of purposes. For one, they can summarize data into a form which the human mind can interpret and find patterns in much faster and with greater ease than by looking at the numerical...
What is simple linear regression?
By: Peter Flom
What is regression? Regression refers to a collection of techniques for modeling one variable (the dependent variable or DV), as a function of some other variables (the independent variables or IVs). Different regression techniques should be applied for different types of DVs. If the DV...
How statistics is used in behavioral science
By: Elizabeth M Young
The term "behavioral sciences is vastly too broad to cover in one sweep. The issue of statistics and how the math is used in the behavioral sciences is as varied as the sciences, themselves are! First, Psychology was the only recognizable behavioral science. Now, there...
By: Gary C. Gibson
Xeno's paradox presents us with the question of how motion can occur. If an arrow is always in it's own space in flight, how can it ever get beyond itself and get anywhere? How can the tortoise ever cross the finish line if each area...

 

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