Dictionary of Mathematics

The word Mathematics comes from the Greek word Mathema, which means ‘learning’, ‘study’, ‘Science’, and additionally came to have the narrower and more technical meaning , “Mathematical Study”. Mathematics plays a vital role in developing the power of logical reasoning and concentration.

Dictionary of Mathematicsglossary of math vocabulary, terms and definitions (www.mathsdictionary.in ) is an interactive website which is an array of innumerable concepts and definitions in a precise, simple and comprehensive way. They have been gradually and systematically developed.

This website delves into the various mathematical arenas and can be used as a handy reference guide by all. The exposition is simple and rigorous. It helps to increase understanding of concepts, thinking and reasoning power.

Rajinder

Friday, 1 November 2013

V

v
V : Roman Symbol for 5
Value , Absolute : The absolute value of real no is its numerical value without regard to sign. The absolute value of a number can be considered as the distance between zero and that number.
Value of Expression : An expression consists of a set of operators, functions or keywords and its value is the outcome obtained after performing operations.
Value of Function : Value of function is the outcome obtained after assigning suitable value to the independent variable.
Vanish : A function vanishes when its value becomes zero.
Variable : A quantity usually represented by x that can take different values. An integer variable can have only integral values whereas  a real variable can have only fractional value also. In y = f(x) , x is independent variable and y is dependent variable.
Variance : In Statistics, variance is a measure of variability; the mean square deviation from the mean, that is , the mean of the squares of the differences between individual values of x and the mean value . The variance in a population is given by 2 = ( x- mean)2 / N
Variate : A random variable with a numerical value that is defined on a given sample space.
Variation : Deviation of a variable from the mean value.
Variation of Function : In an interval [a,b] , the variation of function takes place as the value of independent variable changes. For a function of constant value, there will not be any change in the value of the function.
Variable : A symbol whose value can change.
Vector : Any quantity which has both magnitude and direction at each point in space , as opposed to a scalar which has only magnitude. We represent a vector geometrically by an arrow of length proportional to its magnitude , pointing in the assigned direction. Any vectors can be represented in terms of its components along the coordinate axes XS, Y, and Z. a vector drawn from the origin to a given point is called position vector and is usually symbolized by r in rectangular Cartesian coordinates as r = xi + yj + zk.
Vector, Parallelogram of : A Parallelogram that is constructed in order to add two vectors, by drawing them to scale so that they form two adjacent sides of the parallelogram.
Vector analysis : A branch of Mathematics dealing with vectors, their relations and applications.
Vector Difference : see vectors in www.mathsdictionary.in
Vector multiplication : see vectors in www.mathsdictionary.in
Vector product. Syn.Cross Product : see vectors in www.mathsdictionary.in
Vector Projection : see vectors in www.mathsdictionary.in
Vector Space : see vectors in www.mathsdictionary.in
Vector Sum : see vectors in www.mathsdictionary.in
Velocity : The rate of change of position. Velocity is a vector quantity.
            Velocity = displacement / time

Velocity of Light : Usually  denoted by c . its value is 3 x 1010 m/s.
Venn Diagram :  The Venn diagram is made up of two or more overlapping circles and it is used to show relationship between sets. Different sets are shown as circles in a big rectangle represent ting the universal set. Intersecting circles denote intersecting sets. Separate circles show disjoint set.                                                     

      
Venn Diagram :  The Venn diagram is made up of two or more overlapping circles and it is used to show relationship between sets. Different sets are shown as circles in a big rectangle represent ting the universal set. Intersecting circles denote intersecting sets. Separate circles show disjoint set.                                                                                                                          


Vertex, Vertices : 1. A corner of a polygon. 2. A node in a graph. 3. A local extreme point of curvature.
Vertical Line : A line which points to or away from the centre of the earth. A vertical line is perpendicular to a horizontal line.

Vertex : Point where surfaces meet-corner.
Vertical Opposite angles : The angles that are  formed when two lines intersect each other and angles  opposite to each other are equal as shown below;    A= B
                                                            A

                                                            B
Vigesimal : related to intervals of 20.
Vitali Set : A set of real numbers such that no two real numbers of the set have a difference which is rational number and each real number is equal to a rational number plus a number of the set.
Vinculum : The horizontal bar in a fraction separating the numerator from the denominator.
Volume : The measure of space occupied by a solid body.

Vulgar fraction : A common fraction.

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