Radian to Degree

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Let us understand the meaning of radian and degree, The radian is the standard unit of angular measure, used in many areas of mathematics. It describes the plane angle subtended by a circular arc as the length of the arc divided by the radius of the arc.whereas degree is a pair of density scales,

-->radian to degree a widely used term,it is also used while studying a 90 degree angle.

Triangles Types

-->Triangles Types:When we speak about a Triangle we mean a three sided figure with interior or exterior angles to it,now we will understand the triangles types, Based on the angles or sides of the triangle, the triangles are divided in to many types. 1.right triangle
2.Acute triangle
3.Obtuse triangle
4.isosceles triangle
5.Equilateral triangle

6.scalane triangle,now let us see what we mean by data representation,a numerical data is a set of mathematical values which is used for measuring and counting and it can be represented by graphs(Pie-chart, bar graph).

Quadratic Form

Quadratic Form:In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example,4x^2 + 2xy - 3y^2\,\! is a quadratic form in the variables x and y.Quadratic forms occupy central place in various branches of mathematics: number theory, linear algebra, group theory (orthogonal group), differential geometry.In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is

ax^2+bx+c=0,\,

where x represents a variable, and a, b, and c, constants, with a ≠ 0.Quadratic functions, in mathematics, is a polynomial function of the form

f(x)=ax^2+bx+c,\quad a \ne 0.

The graph of a quadratic function is a parabola whose major axis is parallel to the y-axis.

Binomial Theorem

Binomial Theorem:Let me explain Binomial Theorem.The binomial theorem explains the power of the binomial.Binomial coefficient is the resulting coefficient of the expression. By using binomial theorem we can raise the power. For example, (x+y) is a binomial.We will discuss Problems on Binomial Theorem in the future blogs.

Linear Programming

Linear Programming:Let us understand about Linear Programming.Linear Programming is the universal method of most favorable part of limited wherewithal such as labor, substance, engine, resources etc., to quite a few competing behavior such as goods, services, jobs, projects, etc, on the fundamentals of known criterion of optimality.Now let us see what we mean by linear programming constraints.The linear inequalities or equations on the variables of a linear programming problem are called constraints. The conditions x >- 0, y >- 0 are called non-negative restrictions.Lastly let us see one example problem of linear programming.Let us solve linear programming.Example problem:

Solve:

Minimize: 4a + 5b + 6c

Here we can see the method of solving linear programming.

a + b >= 11

a - b <= 5 c - a - b = 0 7a >= 35 - 12b

a >= 0 b >= 0 c >= 0

Solution:

Step1: We use the equation c-a-b=0 to put c=a+b (>= 0 as a >= 0 and b >= 0) and so the linear

Programming is reduced to minimize.

=4a + 5b + 6(a + b)

=4a + 5b + 6a +6b

= 10a + 11b

Subject to

a + b >= 11

a - b <= 5 7a + 12b >= 35

a >= 0 b >= 0

The minimum occurs at the intersection of a - b = 5 and a + b = 11

This is the first step in solving linear programming.

Step2: The second step in solving linear programming involves the following step

By using Elimination method we can get the value of a = 8 and b = 3

To find the C value (substitute a and b value in c= a + b ) c = 11

The value of the objective function 10a + 11b = 80 + 33 = 113.

Thus these are the steps involved in solving linear programming.

Least Common Multiple

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Least Common Multiple: In arithmetic number of theory is the least common multiple or lowest common multiple (LCM) or smallest common multiple of two integers a and b is the smallest positive integer that is a multiple of both of a and of b. Since it was a multiple, it can be divided by a and b without a reminder.If either a or b is 0, so that number is no such positive integer, then LCM(a, b) is defined to be zero.Now let us find least common multiple,Multiples of 4 are:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, ......................Multiple of 7 are:7, 14, 21, ................These were some examples of least common multiple lcm.ope you like the above example of Least common Multiple.Please leave your comments, if you have any doubts.

Probability

What is probability:Let us now understand what is a Probability.An experiment repeated under essentially homogeneous and similar conditions results in an outcome, which is unique or not unique but may be one of the several possible outcomes. When the result is unique then the experiment is called a probability.Usually questions are asked on how to calculate probability.In the future blogs we will learn about probability calculator.