Harmonic Mean / Progression: Definition, Examples

Harmonic mean: Contents: What is the Harmonic mean? What is harmonic progression? What is the Harmonic Mean? The harmonic mean is a very specific type of average. It’s generally used when dealing with averages of units, like speed or other rates and ratios. The formula is: If the formula above looks daunting, all you need … Read more

Mean Median Mode: What They Are, How to Find Them

Mean Median Mode: Contents (Click to skip to that section): Overview Mean Definition Mode Definition Median Definition How to find the mean, median and mode by hand. Find the mean, median and mode with Technology: SPSS TI83 Mean in R Overview of Mean Median Mode Watch the video for an overview and how to find … Read more

Harmonic Series, Alternating Harmonic Series

Sequence and Series > Contents: Harmonic Series Alternating Harmonic Series Harmonic Series The harmonic series is defined as: Each term of the series, except the first, is the harmonic mean of its neighbors. The harmonic series is widely used in calculus and physics. It is a special case of the p-series, which has the form: … Read more

Harmonic Function / Motion (Potential Function)

Types of Functions > A harmonic function (called a potential function in physics) is a real-valued function with continuous second partial derivatives that satisfy the Laplace equation. The equation is satisfied when Δu = 0, where Δ is the Laplace operator. The definition isn’t very intuitive to grasp, but it’s based on simple harmonic motion … Read more

Generalized Mean / Power Mean

Statistics Definitions > Generalized Mean / Power Mean What is the Generalized Mean? The generalized mean (also known as the power mean or Hölder mean) is just a way of expressing most of the common means (like the arithmetic mean) in one formula: If you change λ (you’ll see this as p in some forms … Read more

Calculus Definitions, Theorems, and Formulas

Confused about a term in calculus? Check out our explanations for calculus terms. Calculus definitions in simple English! Many of the definitions you’ll find here include videos, graphs and charts to make the explanations easier to understand. Finding The Calculus Definition You Need I’ve listed the most popular articles here. Hit Ctrl & F and … Read more

Calculus Based Statistics

Probability and Statistics > Contents: What is Calculus Based Statistics? Elementary Statistics vs. Calculus Based Statistics Calculus Based Statistics: Examples Typical Contents for Calculus Based Statistics Should I Take Calculus or Non-Calculus Based Statistics? Calculus Definitions and How To Articles What is Calculus Based Statistics? Calculus Based statistics takes the four core concepts of calculus … Read more

Statistics Definitions in Plain English with Examples

Confused about a term in statistics? Check out our explanations for statistical terms. Statistics definitions in simple English! Many of the statistics definitions you’ll find here include videos, graphs and charts to make the explanations easier to understand. Finding What You Need I have listed the most popular articles here. Hit Ctrl & F and … Read more

Types of Functions: Simple Definitions & Examples

Types of Functions: Contents: What is a Function? 4 Types of Functions Function Notation How To Know if It’s a Function Operations on Functions Types of Functions: Names and Arguments Properties of Functions What is a Functional? Types of Functions: A to Z What is a Function? Watch the video for a quick explanation of … Read more

Sequence and Series: Types A to Z

The terms sequence and series sound very similar, but they are quite different. Basically: A sequence is a set of ordered numbers, like 1, 2, 3, …, A series is the sum of a set of numbers, like 1 + 2 + 3…. Sequence and Series: Contents: Sequence Definition Sequence Rules Types of Sequences: Arithmetic … Read more