properties of rings in groups
Properties of rings in groups, let (R, +, ×) be a ring. Since (R, +) is a group, all the group properties for addition hold in R. (real number) The unique …
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Harmonic oscillator equation mass spring
Harmonic oscillator equation mass explain in the real world example, there are a number of quantities that oscillate or vibrate in a uniform manner, repeating themselves periodically in definite interval …
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Number system in set theory
Number system in set theory, Natural number is denoted by capital N, whole number is denoted by W, set of integer is denoted by Z, Rational number is denoted by …
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area under the curve integration
Area under the curve integration concept about 300 B.C and around the mathematician succeeded to fined the area of the plane region like triangle, rectangle, trapezium and regular polygon etc. …
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continuous and discontinuous function
Continuous and discontinuous function:A function f is said to be continuous at a number “c” if and only if the following three cases are satisfied: Discontinuous function: If one or …
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Additive identity of a matrix example
Additive identity of a matrix example: Let’s consider a matrix A of size m x n. The additive identity of this matrix, denoted as 0, is a matrix of …
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multiplicative property of inequalities
Multiplicative property of inequalities, For all number a, b, c, d (maybe any numeric number 2, 3, 4, 5) is a part (∈) of real number (R). …
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Straight Line parallel to the x- axis equation
Equation of straight Line parallel to the x-axis: All the point on the Line L parallel to the x-axis remain at a common distance (say “a”) from the x-axis. Therefore, …
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Differential equation means and example
An equation containing at least one derivative of a dependent variable with respect to an independent variable Differential equation means and example such that y d y/d x +2x = …
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Left hand limit and right hand limit
Left-hand limit and right-hand limit: Left-hand limit: The limit of f(x) is equal to L As x approaches c from the left, That is for all x sufficiently close to …
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