Analyzing math

Greetings from online math forum,

If life hands you a lemon, build a high-pressure explosive gas
powered lemon gun and blast it to oblivion'. :^D

In other words, when given an assignment like this, I've often had
success analyzing the assignment itself, rather than just submitting
to the tyranny of educational orthodoxy. examples on free math; But I realize that this
approach isn't for everyone.

It's what you normally think of as 'arithmetic', but it's just one
possible _kind_ of arithmetic.

What distinction, if any, is there between 'invented', and 'discovered' with regard to mathematics?

I honestly don't know if there _is_ a distinction... or, more to the
point, I don't know that you could ever prove that one exists. You
can't really even begin looking for the distinction until you answer
the prior question of what constitutes mathematics. more explanation on free math tutor.

Math is deductive

Welcome to online math tutors,

Math itself is not inductive, but deductive. Having accepted that the
world is reasonably Euclidean, we have to accept the results of the
deduction that the radius always increases by the same amount. And
that's why math is useful: it makes it possible to find answers
without having to check every possible case.

So I think the best thing to do is not to focus on testing the actual
solution to this problem, but to build confidence in the mathematical
methods by explaining the reasoning in ways that make intuitive sense. examples
on math forum; An added benefit is that, in analyzing WHY the math does what it does,
we can gain a better understanding of the whole problem. Let's try
that for your example problem. learn more on math helper.

Dealing with math

Welcome to math tutors online,

We certainly have some experience dealing with this sort of
"unbeliever," as you can see from our FAQ! People have trouble
believing that 0.999... = 1, that -1 * -1 = 1, and so on; math forum; our usual
approach is to give them a variety of explanations and hope that one
of them might get through.

And it's not just untrained people who have
this problem; mathematicians have stumbled over their intuition in the
past, as to whether numbers can be irrational, whether negative or
imaginary numbers make sense, whether there are as many integers as
rational numbers. We've learned through such experiences not to trust
our intuition.
Learn more on online math forum.

Math prime numbers

Welcome to free math help,

prime numbers are good for quickly transforming a situation
with zillions of possible outcomes into an equivalent situation with
only a handful of possible outcomes.

Here is another way to think about it: If you're looking for some
needles in a haystack, you can start picking up each piece of straw,
examples on math help; checking to see if it's a needle, and then tossing it over your
shoulder. Or you can use a magnet to find the needles right away.

In mathematics, prime numbers serve the same function as a really,
Really, REALLY big magnet.

more examples on free math.

Factoring math polynomials

Welcome to free math homework help,
when factoring polynomials... when doing just about anything where integers are
involved, really.

Think of it this way. You don't need to learn to multiply, since you
can always use repeated addition to solve any multiplication problem,
right? free math gives you more examples; If you want to know what 398 times 4612 is,
you can just start adding:

398 (1)
398 (2)
----
796
398 (3)
----
1194
398 (4)
----
etc.

Knowing about multiplication saves you time. That's all it does... but
that's a lot!
I hope the above explanation was useful, now let us study more on math forum.

What is circle radius

Welcome to help with math problems,

The radius of any circle is the length of a straight line segment that
runs from the center of a circle to the circle itself. And a
'straight' line segment, in the most general sense, is the shortest
one that you can draw between any two points.

To someone who thinks that he can only measure things along the
surface of the earth - because he lives in two dimensions, here you can
get free online math help ;not three - the definition of 'radius' that we're using
above would be perfectly reasonable, even obvious.

If he looked at smaller and
smaller circles, he might notice that as the diameter of a circle gets
close to zero, the circumference gets closer and closer to the number
3.14..., and he might call that number 'pi'. learn more on help in math.

Making math easy

Welcome to online math tutors,
I'm going to tell you a secret, and if you take it seriously, I can
guarantee that school will become at least ten times easier for you,
for as long as you continue in school. The secret is this: Never
walk into a classroom without knowing ahead of time what the teacher
is going to say! more examples on online math forum;
If you have a textbook or a reading list, read the
relevant part _before_ each lecture, rather than hearing it for the
first time in the lecture.

This _sounds_ like a lot of extra work, but it's not. Suppose you
have lectures A, B, and C that cover reading material a, b, and c.
Most students would do this:

Listen to A; read a; listen to B; read b; listen to C; read c.

I'm suggesting that you do this instead:

Read a; listen to A; read b; listen to B; read c; listen to C.
Learn more on math forum.

Math is important

Welcome to free math tutoring,

Similarly, mathematics is, by and large, taught backward. You are
drilled on little skills, which turn out to be important, but without
ever really being shown the bigger picture, which would help you
understand _why_ they are important.

Can you imagine trying to teach
someone to play chess by having them practice moving the individual
pieces, math forum; without ever letting them know that there was such a thing as
a chess 'game', or even letting them see a board with more than one
piece on it? Who would bother to learn it? That's something like the
way we currently go about teaching math. Is it any wonder that so many
students lose interest so early?
more exercise on online math tutors.

Math Philosophy

Welcome to free online math help,

Math is just a set of logical truths. It assumes a few things (such as
Euclid's five postulates), defines terms, and sees what follows
logically from those assumptions, math help

There are thus two ways that you can question math. First, you can
question the truth of one or more of the assumptions. This sort of
questioning has been very fruitful in the history of math. Questioning
of Euclid's fifth postulate led to an entire new branch of math called
non-Euclidean geometry.

I hope the above explanation was useful, now let me take you through help with math homework.

Mathematics and truth

Welcome to free online math tutors,
Mathematics deals not with reality, but with an abstraction of
reality: a "model" of just one aspect of the reality we use it to
describe. For example, a number such as 2 doesn't represent any
particular pair of things, but the idea of "two-ness."

Man has found through long experience that things can be counted, and that the
resulting numbers accurately describe one aspect of reality: math helper : if I
counted two apples yesterday, and nothing has been done to them, then
when I count them again there will still be two. The number doesn't
tell us their color, or how they taste, or who owns them; but it
describes something about them that is true of any pair of apples.

It is as much something I perceive about them as is their color or taste;
but when I talk about numbers, I am abstracting one property from the
rest, thinking only of the "two-ness" and ignoring the "apple-ness."

I hope the above explanation was useful, now let us study about online math tutors.

About Math

Hi, Greetings from math help online,

As you go more deeply into math, you find that we end up studying
abstractions of abstractions, such as systems of objects that behave
like numbers, but don't follow all the same rules.

This turns out to
be surprisingly useful; for example in math help, rotations of an object in space,
thought of as if they were a sort of number, can be handled very
neatly, even though they work very differently from numbers in some
respects.

I hope the above explanation was useful, now let me take you a tour of free online math tutoring.

Math in nature

Math is unavoidable. It's a deeply fundamental thing. Without math, there would be no science, no music, no art. Math help is part of all of those things. If it's got structure, then there's an aspect of it that's mathematical.

When a jazz musician improvises, part of what they're doing is math. For an improvisation to make sense, for it to sound good, and fit with what's going on around it, there are a set of constraints on it: on pitches, pitch progressions, rhythm, chords. Those are all abstract properties of the music, which are mathematical!

When you look at a cubist painting, you're looking at a strange kind of projection of something. The artist has taken the subject of the painting apart, he cannot do it easily so he need help with math, he views it from different perspectives, different points of views, different ways of understanding it or seeing it, and assembled them together into a single image. When you look at a cubist painting, and try to understand what the artist was seeing, how they were seeing it, and how the pieces of the final image really fit together - you're doing math.

I hope the above explanation was useful, now let me help you with free math homework help.

Dividing fractions

Let us study How t0 divide fractions,

Introduction on how to divide fractions: Fraction is a part of an object. The fractions can be expressed as [ a/b ] in which a is the numerator and b is the denominator.

Examples of fractions are: half (1/2), one third (1/3), one fourth (1/4), one sixth (1/5) etc... There are many different operations on fractions.

Let us see how to divide fractions in this article. Steps to Divide Fractions: The following are three simple steps which shows how to divide fractions.

Step 1: Reverse the second fraction. That is numerator to the denominator and denominator to the numerator.

Step 2: Now multiply the first fraction with the resultant second fraction.

Step 3: Simply the resultant fraction. These are the simple steps to divide fractions,

now let us study How to divide polynomials

Introduction to integrable function

Let us study about integral function,

Integrable function is one of the functions of mathematics. The integrable function exists as the limits of the integration. Integrable function is usually considering the real numbers. F(x) is the integration of the given function.

Here f is the integrable function of the given integration. Integrable functions have both the positive and negative limits of the integration.

Integrable function is used to find the area of the region under the curve. Generally, integrable function can be denoted as f(x).

I hope the above explanation was useful, now let me explain geometry theorems and constructions

Math Vector

Let us study what is meant by Vector in math,

Vector space model (or vector model) is an algebraic model for representing text documents (and any objects, in general) as vectors of identifiers, such as, for example, index terms.

It is used in information filtering, information retrieval, indexing and relevancy rankings. Its first use was in the SMART Information Retrieval System.

I hope the above explanation was useful, now let me explain about homogeneous differential equations and differential algebraic equation.

Define function in math

Let me define function in math,

Function is defined as follows, considering two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B.
When a relation satisfies this rule, it is called a fuction.

Hence the function calculator sections helps to differentiate relation and a function.

If : A ---> B and a ? A ??> b ? = f(a) ? B is unique. A is domain and B is co domain or we can call it as Range of function f.

Also we can say that f from A to B is a relation and Every Relation from A to B is not a function.

Note: f is a set of ordered pairs , no two of which have the same first coordinate.

I hope the above explanation was useful.

factoring trinomials

Let us study factoring trinomials,

Algebra factoring trinomials explains the method to factor trinomials and this process is entirely opposite of the FOIL Method, which is used to product factoring binomials. The steps involved in algebra factoring trinomials are,

Step 1: Managing variables:

Step2: Managing Coefficients

Step3: finding the factoring pair

Let us consider an example to explain the steps involved in this method.

The example is :
I hope the above explanation was useful.

Straight Line Equation

Let us study EQUATION OF A STRAIGHT LINE

In Mathematics, equations such as

2x+y=6

are designated as linear equations, and their graphs are shown to be straight lines. The purpose of this discussion is to study the relationship of slope to the equation of a straight line.

POINT-SLOPE FORM

Suppose that we want to find the equation of a straight line that passes through a known point and has a known slope. Let (x,y) represent the coordinates of any point on the line, and let (x,,y,) represent the coordinates of the known point. The slope is represented by m.

Recalling the formula defining slope in terms of the coordinates of two points, we have

STRAIGHT-LINE AND COMPASS CONSTRUCTIONS

Let us study about straight line and compass constructions,
You can draw straight lines, and set the compasses to any radius you like (obviously you can't measure the radius, because you've no markings on your ruler); in particular, if you've managed to mark two points on the (infinite) plane that you're drawing on (normally points are defined when arcs and lines intersect) then you can set the compass to exactly the distance between those points.

example : Draw an equilateral triangle.

Solution :
1. Draw a line, A.
2. Mark two arbitrary points on A, b and c, not coincident. ( The distance bc will be the length of each side of the triangle.)
3. Draw a circle, centre b, radius bc. ( This is two steps rolled into one: 1. Set the compasses to radius bc 2. Draw a circle centred on b )
4. Draw a circle, centre c, radius bc.
5. The two circles will intersect in two points, d and d', one either side of A.
6. Draw the line segments bd and cd. bcd is the equilateral triangle. ( Since lengths bd = bc = cd )

I hope the above explanation was useful.

Determining the Eigenvalues of a Matrix

Since every linear operator is given by left multiplication by some square matrix, finding the eigenvalues and eigenvectors of a linear operator is equivalent to finding the eigenvalues and eigenvectors of the associated square matrix; this is the terminology that will be followed. Furthermore, since eigenvalues and eigenvectors make sense only for square matrices, throughout this section all matrices are assumed to be square.


Given a square matrix A, the condition that characterizes an eigenvalue, λ, is the existence of a nonzero vector x such that A x = λ x; this equation can be rewritten as follows:
This final form of the equation makes it clear that x is the solution of a square, homogeneous system. If nonzero solutions are desired, then the determinant of the coefficient matrix—which in this case is A − λ I—must be zero; if not, then the system possesses only the trivial solution x = 0. Since eigenvectors are, by definition, nonzero, in order for x to be an eigenvector of a matrix A, λ must be chosen so that
I hope the above explanation was useful.