Posts Tagged ‘values’
Friday, November 20th, 2009
Definition of an Outlier
Description
A detailed tutorial on the definition of an outlier. Step by step tutorial including several examples of definitions of outliers for reference.
Overview
An outlier is a type of observation of statistical data. It is usually very far away from the other values in the data set, hence the name. Usually it is a number that is much smaller than the other numbers, although it could be much larger than the other numbers as well. Outliers have an equal chance of occuring in any random observation, but they are still rare. Typically when an outlier is found it means there is some sort of mistake, usually a measurement error.
Tags: chance, data, elements, equal, error, larger, measurement, mistake, numbers, observation, outlier, random, set, smaller, statistical, statistics, values
Posted in Statistics | No Comments »
Friday, November 6th, 2009
Introduction to Injective and Surjective Functions
Description
A detailed tutorial on injective and surjective functions. Step by step tutorial including several examples of injective and surjective functions for reference.
Overview
When given a function, there are two properties it can possess: it can be either injective or surjective. An injective function is a function that associates distinct arguments in one domain with distinct values in one codomain, and every unique argument produces a unique result. A surjective function is a function where the range is equal to the codomain. A surjective function is also called a surjection or said to be onto. For both cases, the function could be bijective if all elements in the codomain are mapped, which means that it would be both injective and surjective at the same time.
Tags: algebra, arguments, bijective, codomain, equal, function, injective, mapped, onto, range, subjection, surjective, unique, values
Posted in Algebra | No Comments »
Tuesday, November 3rd, 2009
Introduction to Square Matrices
Description
A detailed tutorial on square matrices and how to identify them. Step by step tutorial including several examples of square matrices for reference.
Overview
A square matrix is a simple matrix in the shape of a square. It has the same number of rows and columns. Square matrices are called nxn matrces. The most common values for n are 2 and 3. Two columns and rows is the smallest amount of rows and columns a square matrix can have – matrices with only one value are not considered to be square.
Tags: 2, 2x2, 3, 3x3, algebra, columns, equal, equivalent, linear, matrices, matrix, n!, number, nxn, rows, same, shape, square, three, two, values
Posted in Algebra | No Comments »
Friday, October 2nd, 2009
Introduction to Scatter Plots
Description
A detailed tutorial on scatter plots. Step by step tutorial including several examples of scatter plots for reference.
Overview
A scatter plot is more of a diagram than a graph. but it uses Cartesian coordinates to display the values in a set of data. A scatter plot is normally defined as a collection of points – it is almost like a regular Cartesian graph, but the points are not connected and there are typically more of them. Scatter plots can also be 3D.
Tags: algebra, cartesian, collection, coordinates, horizontal, Math, points, scatter chart, scatter diagram, scatter graph, scatter plot, values, vertical
Posted in Algebra | No Comments »
Tuesday, September 29th, 2009
Identifying Periodic Functions
Description
A detailed tutorial on how to identify a periodic function. Step by step tutorial including several examples of how to identify a periodic function for reference.
Overview
A periodic function is a function with repeating values. The values have to repeated in regular intervals, or periods. Well known examples of periodic functions are trigonometric functions, which constantly repeat over intervals of 2π. Periodic functions are often used to describe waves or other things that display periodicity, or the property of repeating over intervals.
Tags: Calculus, function, intervals, Math, periodic, periodicity, periods, repeat, repeating, trig functions, trigonometric functions, values, waves
Posted in Calculus | No Comments »
Friday, September 25th, 2009
How to Find the Domain & Range of a Function
Description
A detailed tutorial on finding the domain and range of a function. Step by step tutorial including several examples of how to find the domain and range of a function for reference.
Overview
Finding the domain and range is very important when given the graph of a function. The domain is the set of all possible x values of the function, and the range is the set of all possible y values of the function. When given a function, the first one you want to find is the domain. You want to figure out what is allowed for the x value. Typically, the domain ends up being the set of all real numbers, expressed a R. If the x is found in a fraction, it can be the set of all real numbers excluding 0. If the x is found in a square root, it is the set of all real positive numbers. It’s rare for there to only be a few values allowed for the domain. The next one you want to find is range. Very often, range also ends up being the set of all real numbers. But say you know that something has to come out negative, then it would only be the set of all negative numbers. Each function is a little bit different, but finding the domain and range is typically a very straightforward process.
Tags: algebra, domain, fraction, function, graph, Math, negative, positive, possible, range, real numbers, set, square root, values, x, y
Posted in Algebra | No Comments »
Tuesday, September 15th, 2009
An In-Depth Look at the Transitive Property
Description
A detailed tutorial on the use of the transitive property. Step by step tutorial including several examples of how to use the transitive property for reference.
Overview
The transitive property states that if a = b, and if b = c, then a = c. This makes sense, because the first statement, a = b, tells us that a must be the same value as b. The second statement then tells us that b = c, meaning that b and c have the same value. If c has the same value as b, and b has the same value as a, then a = c. In time the transitive property becomes something we do so often that we don\’t even think about it being an actual property anymore.
Tags: arithmetic, equals, Math, property, transitive, transitive property, values
Posted in Arithmetic | No Comments »
