word problem help

In the previous post we have discussed about Relations and Functions and In today's session we are going to discuss about word problem help. The study of mathematics is basically aimed with relating it with the real life so that the objective of studying math is fulfilled.  Our life basically related to math at every angle of life.
By word problems we mean that the statements of the problems are given from the real life and we need to get the solution to the problem by understanding the mathematical operation to be performed.  To get word problem help, we can visit online math tutors which can support us to learn the logics to be used in solving the word problems.
We need to master the concept of analyzing the type of the problem and then check which mathematical operation will be performed on the given problem in order to get the solution. We are given certain tips to find the key words which help us to check the operation to be performed. Suppose we have the key words like add, sum, join, combined, greater, in all etc. we simply conclude that the sum of the digits will  help us to get the solution of the problem. In the same way if we have the words like less, reduce, decreased by etc help us to get the solution  for the given problem.

Students can take online help to  learn how to perform the operations of maths and solve the word problems. Different practice worksheets are also available online which help to develop the confidence. They help us to practice variety of word problems and get the real exposure to a variety of problems.
We also have the topic  Polar Moment of Inertia, which can be learned online. It is one of the topic in class 9^th. We can find  ntse sample papers online, which can be used for the preparation of the ntse exam conducted for the students of class X.

Relations and Functions

In the previous post we have discussed about Rotation Matrix and In today's session we are going to discuss about Relations and Functions. In mathematics, there are various ways are described that can maintain data in records in quick and accessible manner. Regarding to these technology relation and function are one of them. A Relations and Functions are two different things but they together to perform any particular task. A relation can be describing as a relationship between sets of data or values. Suppose there is a class in school. There are thirty students in class and each student has their own marks in particular subject. Now make a pair between names of students and their marks are known as relation.
On other hand arrange a pair of data in particular order can be considering as function. In the simple mean we can define the concept of Relations and Functions by using the concept of ordered pair which carries two values into it. Now on the basis of ordered pair a relation can simply be define as set of ordered pairs of values Like ( a0, b). Here ( a, b) can be consider as a ordered pair where value of ‘a’ can be considered as a value of domain and the second value of ordered pair are known as range. Here two new concepts arise during discussion that is domain and other is range. Here domain is known as collection of all first value of pair and range can be defined as collection of second value of ordered pair.
By using the definition of range and domain we can say that function is a process where the domain value makes a pair with only one value of their range. In mathematics, the values of ordered pair can either be negative or positive.
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Rotation Matrix

Hi friends, in mathematics, today we will discuss about Rotation Matrix. And also we will study different method to solve the rotation matrix. Generally a rotation matrix is used to show a rotation in linear algebra. For example:

p = [ cos Ф - sin Ф]

      [ sin Ф cos Ф]

In the matrix mention above matrix points are rotated in xy – Cartesian plane ( here x is along to horizontal axis and y is along to vertical axis) through an angle Ф about the origin of coordinate system. Using the matrix multiplication we also found a rotated vector. So there is no effect of multiplication on zero vector or in other word it can be a coordinates of the origin. Commonly rotation matrix is used to calculate rotations about the origin of coordinate system. It can also be used to assist a simple algebraic description of such types of rotations and it can also be used for computation in physics, geometric, etc. If we talk about the case of three dimensional space then the rotation can be stop by given angle along a single axis of rotation. So, it can be simply calculated by an angle and vector by three entries. In case of 3x3 Rotation Matrix. It can be solved by nine entries of a rotation matrix that has three rows and three columns. It can not be used in higher dimensions. (know more about Rotation Matrix, here)

It is also said to be orthogonal matrices that has determinant value is equal to 1. It can be denoted as:

= Pa = P-1, det P = 1. this type of matrices are called as special orthogonal group. It can be denoted as 'SO (n). Entire rotational matrices are found using these matrix multiplication. For example:

= Pp (γ) Pq (β) Pr (α); it can be denoted as a rotation whose angles are α, β, γ. This is all about rotation Matrix.

Stem and leaf Plots can be defined as a method of organizing numerical data in order of place value. For the preparation of 8 class board example please prefer 8th class question papers.

Binary Numbers

In the previous post we have discussed about domain math and In today's session we are going to discuss about Binary Numbers. Before discussion about the Binary Numbers first we have to know about the number system that is a basic need for presenting a number. When we talk about any number it consist some of the digits in it and these digits is decided by the number system which is used to express the number. So there are basically four types of number system as decimal , binary , octal and hexadecimal number system . When we talk about the binary number system in which binary means two , so there are only two digits for expressing a number that are zero (0) and one (1). (know more about Binary Numbers, here)
In binary number system, all the values having two digits. When we talk about any number probably it is define into the decimal number system in which number having the value from 0 to 9 and all these 10 digits are used  to make different types of number and when we want to change any decimal number into the binary number that means every single digits of the given number will be multiplied with the  exponent of two that means if there is a number xyz and we want to change it in the binary number then in x y z ,digit x has a hundred position , y has a tens position and z has a ones position and then z is multiplied with the  2 >0 and y multiplied with the 2 > 1 and x is multiplied with the 2 > 2.
 Temperature Conversion Chart is used for define the temperature in different units and also describe the relation between these units that is used for changing the temperature in one unit to another.
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domain math

In mathematics, function is used to show the relationship between values. Each input values of a function gives back exactly one output value. Now we will see how to find the domain math? Suppose that we have a function and we want to find the domain of a function then first it is necessary to know about the definition of domain in function.

If we select the entire ‘x’ coordinate values of a function, all the x – coordinate values are said to be domain of a function. In the same way, the possible ‘y’ coordinate values are said to be range of a function.

Suppose we have some values (8, -15), (-10, 1), (16, -5), (-2, 6), then the domain of function is all the ‘x’ coordinate values. (know more about domain math, here)

Domain = 8, -10, 16, 6.

Range is all ‘y’ coordinate values,

Range = -15, -10, 16, 6.

let's see some steps to find domain of a function.

To finding the domain of a function we follow some steps:

Step1: To find the domain of a function first we have to assume a function which contains ‘x’ and ‘y’ coordinates.

Step2: As we know the domain of a function is all ‘x’ coordinates values.

Step3: In a function if we have values of ‘x’ and ‘y’ coordinates then we can easily find the domain and range of a function.

If we follow these steps then we can easily find the domain of a given function. This is how we can find the domain of a function. Now we will see Taylor Series Expansion. Taylor series can be defined as a series of a function about a function. It is generally used in the approximation of a function. To get more information about Taylor series then follow online tutorial of icse syllabus. In the next session we will discuss about Binary Numbers. 

Translation Math

In the previous post we have discussed about Symbolic Logic and In today's session we are going to discuss about Translation Math. In mathematics, to move a figure or a shape from one place to another we use translation. In this a figure in a plane can be move upward and downward, right, left or anywhere. It is a function that moves every point a constant distance in a particular direction. Suppose we move one point of a shape like Triangle, Square, Line, etc up to five unit in a particular direction by translation, then all the points will move by five unit in same direction. Thus only the position of the object changes but its size remains the same.

To understand better let us translate in the following graph:

The graph on the left side is translated to the graph on the right side.

The equation of the absolute value function of left hand side graph:

y = |x|.

When the function f(x) is translated ‘p’ units horizontally, then the argument of f(x) becomes x − p.

Thus as the origin is moved to (3, 4), the new equation by its translation is:

y − 4 = |x − 3|.

Let us have a rectangular on a graph with the points P(-4, 8), Q(1, 8), R(-4, 4), S(1, 4). To shift it by four unit downward we use the following steps:

As the figure is being translated by “four” unit in downward direction, there will be no changes in x- coordinate. (know more about Translation Math, here)

1. subtract by 4 in y coordinate, we get

P(-4, 8) after translation (x - 0, y – 4),

=> (-4 - 0, 8 – 5),

• (-4, 3)

2. For Q(1, 8) after translation, we get (x - 0, y - 4)

• (1 - 0, 8 - 5)
• (1, 3) translated coordinate.

3. For R(-4, 4) so, after translation (x - 0, y - 4)

=> (-4 - 0, 4 - 4)

=> (-4, 0) translated coordinate.

4. For S(1, 4), after translation,we get (x - 0, y - 4)

=> (1 - 0, 4 - 4)

=>(1, 0) translated coordinate.

So, translated figure coordinates will be points P(-4, 3), Q(1, 3), R(-4, 0), S(1, 0).

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Symbolic Logic

Hi friends, in this blog we are discussing an important topic that is 'Symbolic Logic'. Symbolic Logic is a method that is used to distinguish logical expressions using symbols and variables, relatively than in ordinary language. Symbolic logic is used in removing the uncertainty. In mathematical field, so many systems of symbolic logic are mention below:
(1.) Classical propositional logic,
(2.) First-order logic,
(3.) Modal logic.
In mathematics, all the symbolic logic are divided by different symbols, or exclude the use of certain symbols. Let's see some of the symbolic logic symbols. Here we will see the basic logic symbols.
(1.) (┑): - This given symbol is known as negation.
Explanation: Let we have a statement ┑A that is true if and only if the value of 'A' is given as false.
= ┑ (┑A) ⇔ A.
(2.) (∨): - This given symbol is known as logical disjunction.
Explanation: The statement A ∨ B is true if and only if the value of 'A' and 'B' both are true, or if both are false.
(3.) (⊕): - This symbol is known as exclusive disjunction.
Explanation: let we have a given statement A ⊕ B then the condition is true if value of 'A' and
'B' are true but not both the value true.
(4.) (T): - This symbol is known as Tautology.
Explanation: Here the meaning of this symbol is A ⇒ B is always true.
(5.) (∃): - This symbol is known as existential quantification.
Explanation: let we have a given statement ∃ x A (x), it means there is at least one x such that A (x) is true.
(6.) (∃!): - This symbol is known as uniqueness quantification.
Explanation: let we have a given statement ∃! x A (x), it means there is exactly one x such that A (x) is true. Solving Differential Equations is a part of trigonometry. It includes application of derivative. To get more information then we need to follow icse syllabus 2013. It helps so much for solving the differential equation.