Mathematics process

Welcome to free math tutor online,

Is mathematics a process? Is it a collection of facts, or patterns, or
theorems? Would mathematics continue to exist if all conscious beings
were eliminated from the universe? Do the theorems that we haven't yet
worked out already exist, in some implicit form? Or do they come into
being only when they become known?

This is why I think you should read 'A conversation with Einstein's
brain'. It's pretty short, wonderfully written, and it will give you a
_lot_ to think about with respect to this issue. examples on math helper; (That way, regardless
of how the essay comes out, the experience won't have been a complete
waste of your time.) more examples on online math forum.

Math Reasoning

Welcome to free math tutors online,
one problem here is that math often _doesn't_ tell the
truth - about the real world, that is. Math is based on reasoning from
stated premises (axioms); as long as those are true, and we don't make
mistakes in our reasoning, the results have to be correct. help in math; But those
axioms deal with an ideal world, not the real one in which lines are
made of atoms with a finite size, "space" may be curved by gravity,
and so on.

So it's easy to find cases where math gives a wrong result
- not because the math itself was wrong, but because it was applied to
an incompletely understood reality, or one that differs in small but
important ways from our assumptions. continue learning on math forum.

Mathematician and physicist

Welcome to math helper,

A mathematician and a physicist were arguing over whose field of
study was better. They decided to settle the argument by posing
questions. The mathematician went first, and posed a complicated
mathematical problem.

With a great deal of effort, math forum; several books
of mathematical tables and techniques, and a few hours, the
physicist gave the solved problem to the mathematician, who was duly
impressed.

More explanations on free math tutor.

Math common factors

Welcome to free math homework help,
Well, the main reason for identifying common factors is to let you see
more deeply into the pattern. In this case, once we get the 4b^2 out
in front, math forum; we can see that we have a standard quadratic form in y,
which we can simplify even more:

4b^2y^2 - 20b^2y + 24b^2 = 4b^2(y^2 - 5y + 6)

= 4b^2(y - 2)(y - 3)

Now, why is _this_ form preferable? Well, for one thing, if the '?'
is a zero, as it is in 'standard' form, then we know that

4b^2(y - 2)(y - 3) = 0

Just by looking at this, we can see that if b is non-zero, there are
only two possible values of y that can make this equation true:
y = 2 and y = 3.
examples available on free math help online.

Math construction

Welcome to free math tutoring,
If you tied a string around the entire earth, and you wanted to add
enough string to lift it one inch off the ground everywhere,online math forum; you would
have to add the same amount of string -- about 6 inches!

On the other hand, does it surprise you that you can construct two
triangles of vastly different size, e.g.,

            |                        |
      5   / |                      / |
        /   |  4                 /   |
      /     |         75,000   /     |
    /_______|                /       |  60,000
                           /         |
        3                /           |
                       /             |
                     /_______________|

                          45,000

that contain exactly the same angles? One answer to your question is
just that scaling doesn't always work the way you expect it to.learn more on math forum.

Math learning tips

Welcome to free math tutor online,

Now, here's the thing: If you wait until the night before the test to
try to learn the material, it's probably not going to work. A better
way to use your book would be this: If your teacher is going to talk
about section 6.3 tomorrow, you should read that section tonight and
try to answer all the practice questions.

If you can answer them all,
then you can just treat the next day's class as a review session. online math forum; But
if you can't answer them all, then the next day in class you can ask
the teacher to go over the ones you couldn't do - which shouldn't be a
problem, since that's the material he or she is supposed to be
covering anyway. learn more on math forum.

mathematical reality

Welcome to help with math problems,
If you are concerned that there may be no reality beyond your own
perception, I think you can relax. The kind of philosophy you are
struggling with has trouble dealing with the surprising "reality" of
math, among other things.

The fact that this mathematical "language,"
which fits together so beautifully, turns out to fit the reality we
perceive, should encourage us to believe that what we perceive has an
order to it far deeper than our own imagination could build (do your
dreams have such order and consistency?), and therefore has some
reality beyond ourselves. Most of us, because we don't think deeply,
aren't surprised that math "works";

you have recognized that there is
no reason to assume that the "reality" of free math and the "reality" of
perception would fit together at all, so math becomes a surprise that
makes you re-evaluate your philosophy. That's good.
I hope the above explanation was useful, now let us study more example on online math forum.

Math & perceptibility

Hi,
Let me welcome you to our online math tutors page,

Let us study about math & perceptibility in this free math tutoring online,
I think that mathematics cannot give an exact representation of
reality in the sense of perceptibility - even things that I think
myself are perceptible because I can 'see' or 'hear' the things I
think, because if I don't, I don't think.

So there is no reality beyond perceptibility. There is only
perceptibility.

You cannot say 2 + 3 = 5, because 2 is not three is not five. How
can two things (2 and 3), neither of which is identical to 5, be
identical to five if they are united? 5 in itself is also
an independent "being." If it weren't, it indeed could exist as a
collection of at least two other 'entities'. learn more in online math forum.

Math Abstraction

Welcome to Online math tutor,

It is often found that a concept that is first encountered in one part
of our experience turns out to be useful in other areas as well.
Having solved a problem in one context, we don't have to solve it
again, because we solved it abstractly.

For example, a common problem
is to find the number of sides and diagonals of a polygon. It turns
out that the same solution applies also to a question about the number
of handshakes that occur if everyone in a room shakes hands with
everyone else, and also to a problem about the number of different
ways a student could choose two classes to take. you can get more out of math help.

They all look the same when you think of them abstractly. If I know the solution to one
of these problems, I can transform a new problem into the known
problem, and quickly find the answer. That kind of thinking is central
to what math is.

now let take you to math forum,

Math in daily life

We use math in our daily life,
For instance, When you look at a road map and try to figure out how to get from one place to another - you're doing free math tutoring to yourself. The map is an abstract representation of the world that allows you to do certain useful things with it.
Its so funny, We use free math that we don't know ourselves.
When a scientist tries to analyze something about the world, to understand how it works, and describe it in a way that tells us something important about how things behave - they're doing math.
I hope the above examples helped you, get your free online tutoring math problem solver here.

Introduction to what is the greater than sign

Introduction to what is the greater than sign:
In mathematics, the inequality plays the main role. In inequality we have many signs like less than, greater then, less than or equal to, greater than or equal to .In this symbol for What is the greater then sign is “> “.

This what is the greater then sign specifies that the left hand side of the greater then sign is greater then the right side constant or variable.
Symbols and Rules on What is the Greater than Sign:
Symbols - What is the greater then sign:
* > is the greater then sign.
* > = is the greater then or equal to sign.
* >> is the much greater then sign
I hope the above explanation was useful, now let me explain factors of 27

Differential Equation & Indefinite Integrals

Let us study about Differential Equation,

Differential Equation : A differential equation is a relation between the independent, dependent variables and their differential coefficients.
Indefinite Integrals : The expression ∫ f(x) dx is read "the indefinite integral of f(x) with respect to x," and stands for the set of all antiderivatives of f. Thus, ∫ f(x) dx is a collection of functions; it is not a single function, nor a number.

I hope the above explanation was useful.

Coordinate plane

Let us study about Coordinate plane,

The math term plane is a two dimensional flat surfaced with no thickness spanned with two linearly independent vectors and its extends its boundary forever. The generalization of the math term plane with higher dimension is called a hyper plane and the angle between the two intersecting plane is called dihedral angle.

In the term plane, there is only two axis are there,

* X axis (width);
* Y axis(Length)

I hope the above explanation was useful.

What is polygon centroid

Let us study about Polygon Centroid,

Introduction to calculating centroid:
Centroid should be a point over the figure or diagram at which the whole mass of the body acts. It must be the center point of complete figure. The calculating centroid of the straight line must be its middle point. When the diagram is triangle, calculating centroid should be a point which the medians are cross. These are intersecting with the ratio of 2:1.

Finding Centroid of the Triangle:

The co-ordinates of the triangle are (x₁ , y₁), (x₂, y₂) and (x₃, y₃). Therefore, the formula for calculating centroid of that triangle is,

((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3)

I hope the above explanation was useful.

Explain Perimeter of a triangle

Let us study what is Perimeter of a triangle,

Triangle is a three sided polygon, the sides are closed three line segments. To calculate perimeter of a triangle in calculator we know three sides of a triangle. The perimeter of a triangle is measured in terms of units. Let we learn about how to find perimeter of a triangle calculator.
Perimeter of a Triangle Calculator:

The formula for perimeter of a triangle used calculator is

Perimeter p = a + b + c units, where a, b and c are the three sides of a triangle.

I hope the above explanation was useful.

How to factor polynomial equations

Let us learn How to factor polynomial equations,
A "quadratic" is a polynomial that looks like "ax²+ bx + c", where "a", "b", and "c" are just numbers. For the easy case of factoring, you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term. For instance:

* Factor x² + 5x + 6.

I need to find factors of 6 that add up to 5. Since 6 can be written as the product of 2 and 3, and since 2 + 3 = 5, then I'll use 2 and 3. I know from multiplying polynomials that this quadratic is formed from multiplying two factors of the form "(x + m)(x + n)", for some numbers m and n. So I'll draw my parentheses, with an "x" in the front of each:

(x )(x )

Then I'll write in the two numbers that I found above:

(x + 2)(x + 3)

This is the answer: x² + 5x + 6 = (x + 2)(x + 3)
I hope the above explanation helped you.

circle circumference

Let us study about Circle Circumference,
The circumference of a circle is the actual length around the circle which is equal to 360°. Pi (p) is the number needed to compute the circumference of the circle.
p is equal to 3.14.
Pi is greek and has been around for over 2000 years!

In circles the AREA is equal to 3.14 (p) times the radius (r) to the power of 2.
Thus the formula looks like:
A= pr2.

In circles the circumference is 3.14 (p) times the Diameter.
Thus the formula looks like:
2pr or pd.

Example :

A circular swimming pool has a radius of 14 m. Find the circumference of the pool.

Solution:






So, the circumference of the pool is 88 m.

Note:


I hope the above explanation was useful.

Operations with Algebraic Fractions

Let us study about operations with Algebraic Fractions,

Operations with Algebraic Fractions :


There are many techniques that will simplify
your work as you perform operations with algebraic fractions. As you review these examples, note the steps involved in each operation and any methods that will save you time.

Reducing algebraic fractions

To reduce an algebraic fraction to lowest terms, first factor the numerator and the denominator; then cancel, (or divide out) common factors.

Example : Reduce.
Warning: Do not cancel through an addition or subtraction sign as shown here.
Hope the above explanation was useful.

Conditional Probability

Let us study about conditional probability,
Sometimes you have more information than simply total outcomes and favorable outcomes and, hence, are able to make more informed judgments regarding probabilities. For example, suppose you know the following information: In a particular village, there are 60 women and 40 men. Twenty of those women are 70 years of age or older; 5 of the men are 70 years of age or older. See Table 1 .


What is the probability that a person selected at random in that town will be a woman? Because women constitute 60 percent of the total population, the probability is .60.

What is the probability that a person 70+ years of age selected at random will be a woman? This question is different because the probability of A (being a woman) given B (the person in question is 70+ years of age) is now conditional upon B (being 70+ years of age). Because women number 20 out of the 25 people in the 70+ years-old group, the probability of this latter question is 20/25, or .80.

Conditional probability is found using this formula:
which is read: The probability of A given B equals the proportion of the total of A and B to the total of B. The vertical bar in the expression A| B is read given that or given.
I hope the above explanation was helpful.

The Nullspace of a Matrix

Let us study the Nullspace of a Matrix,

The solution sets of homogeneous linear systems provide an important source of vector spaces. Let A be an m by n matrix, and consider the homogeneous system

Ax = 0

Since A is m by n, the set of all vectors x which satisfy this equation forms a subset of R n . (This subset is nonempty, since it clearly contains the zero vector: x = 0 always satisfies A x = 0.) This subset actually forms a subspace of R n , called the nullspace of the matrix A and denoted N(A). To prove that N(A) is a subspace of R n , closure under both addition and scalar multiplication must be established. If x1 and x2 are in N(A), then, by definition, A x1 = 0 and A x2 = 0. Adding these equations yields
which verifies closure under addition. Next, if x is in N(A), then A x = 0, so if k is any scalar,
verifying closure under scalar multiplication. Thus, the solution set of a homogeneous linear system forms a vector space. Note carefully that if the system is not homogeneous, then the set of solutions is not a vector space since the set will not contain the zero vector.
Hope the above explanation helped you to know about Nullspace of a matrix, now let me explain you about matrices and determinants.