Why Algebra is useful

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Algebra is useful for many things.

It's like this. You're studying some objects and how they behave and
interact. You notice some patterns that happen over and over. You
try to eliminate all the unnecessary details and grasp the essence of
what is going on.

You find out that you can describe what is going on
by explaining some rules. online math forum; You discover that these rules describe
many, many things and imply some things you never thought of before.
You end up explaining lots of new things. You have then created an
algebra and used it with purpose. continue reading on math forum.

Business decisions with math

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To help them with business decisions and other 'non-technical'
aspects of their jobs. I know that this is probably not the answer
you were looking for, but I feel obliged to discuss it, for
completeness.

The fact is, very little engineering ever occurs without someone
spending some money, and in most cases, a whole lot of money. And
because of that, many engineers spend a significant portion of their
time (almost half?) concerned with the business aspects of their
projects, as opposed to the technical aspects. math help; For example, before you
build a bridge, you had better know how much it will cost, how long it
will take, and at what point in the project you will need the money.
What type of equipment you will need and for how long.

Exactly what materials you will need, and when, and all that sort of thing. You
would also need to figure out the cheapest kind of bridge you could
build.
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Math used in Engineering

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Now, the important point here is that the engineer is not the person
who calculates when the concrete will reach a point when it can be
used without concern to its cure being complete; more examples on free math tutoring;
that is a job for a
chemist or a material scientist at the factory where the concrete is
made, who will make this calculation based on the type and amount of
chemicals used in each particular type of concrete.

But nevertheless,
the engineers need to understand the properties of the materials they
are working with, and in this case those properties are described by
an exponential equation. continue learning on online math forum.

Teaching mathematics

Welcome to free online math tutoring,
This is a real problem! My own feeling is that a lot of kids are
frustrated by math because it's taught incorrectly.

Imagine if we taught baseball the way we teach math. Kids would never
get to see an actual game, let alone play in one... in fact, they
wouldn't even be told that _is_ a game.

They'd be asked to learn to compute statistics like batting averages
and fielding percentages, "because you'll need them someday."free math; They'd
be asked to learn formulas for computing the ballistic arcs of balls
flying through the air, even though those would _never_ be useful.
They might be asked to learn to catch and throw, and hit balls tossed
from a machine, but they'd never be told how any of those skills
related to one another (for example, that one person tries to hit what
another throws, and others try to catch what he hits). And so on, and
so on. learn more on math forum.

Find math interesting

Welcome to online math help,
So the real questions are: Why don't you find math interesting? And is
there anything you can do about it?

Why don't you write back and tell me about some of the things you
_are_ interested in, and we'll see if we can't find a way to get you
interested in math help, too.

Think of something that you _have_ been able to learn easily --
baseball statistics, playing the guitar, the names and powers and
evolutions of 49,000 different Pokemon cards, or whatever. What do you
suppose made it easy to learn?

The answer is almost certainly i-n-t-e-r-e-s-t. If you're interested
in something, it's easy to learn. If you want to make math easy to
learn, you have to find some way to make it interesting to you.
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Math Calligram

Welcome to free online math tutors,

The opposite of the long side is, appropriately, the short side at the
bottom (a->a); but the opposite of the small side at the upper right
is the side just to the left of the bottom (b->b), which seems a lot
less 'opposite'. more examples on help in math,
Does that mean our definition is bad? No, just that
we've defined opposite in terms of counting, and when we deal with
different size sides, that won't match a metric definition. We should
expect a pathological shape to be less intuitive than a "natural"
shape.

Interestingly, your Calligram is by definition one for which two
definitions of 'opposite' agree - not an uncommon way to define a
special kind of object. You sense that 'opposite' ought to mean at
least approximately parallel (as in a circle), so you ask about shapes
that work that way. The problem you've had is an unwillingness to be
inflexible and hold to a topological definition of oppositeness while
you compare it to a Euclidean version; you let the latter leak into
the former while you work, until your definition of a Calligram
becomes so circular that, in the extreme, we could claim that any
polygon with NO parallel sides is a Calligram, because no two sides
are parallel ('opposite'), and therefore all of the opposite sides
(that is, no sides) are parallel. learn more on free math tutoring online.

Geometry Celligram

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Polygons that are created entirely of pairs of parallel opposite
sides, so we called it a Calligram (in honor of her name). I wrote the
following definition of a Calligram: "a polygon whose opposite sides
are parallel. free math; " Then I asked the students whether the following would
be properties of all Calligrams:

1) They must have an even number of sides.

2) The measure of the exterior angles is always even.

3) They are convex.

Properties (2) and (3) are obviously false, but property (1) gave rise
to the question; "what about a pentagon with two right angles?" If the
two parallel sides count as 'opposite', then all the opposite sides
are parallel, and the remaining three sides don't count as opposites
(I would then have to reword my definition). I cannot get a formal
definition for "opposite," however.

help with math, If it means parallel sides, then
that would give rise to the situation where a trapezoid has only one
pair of opposite sides. By your definition, you could get some pretty
mean looking concave polygons with two sides called 'opposite' even
though they could be contained on the same line. Everyone knows that
"opposite sides of a parallelogram are congruent" for instance, but
again, I do not have a formal definition of 'opposite'.

Modular arithmetic

Greetings from help with math problems,
The modular arithmetic is
useful for some kinds of tasks, and not for others. In general,
mathematicians don't go out looking for systems because they hope that
the systems will be useful for any particular purpose ( examples on math tutor online for free )
-- except perhaps when that purpose is to generate a valid proof in another
system.

(For example, entire fields of mathematics were generated by
mathematicians trying to prove Fermat's last theorem.) Mathematicians
generally look for systems because they find such systems interesting,
and for no other reason.

Having discovered various systems and worked
out interesting results within them, they leave it for other people to
determine whether the systems are useful -- as when the quantum
physicists in the 1930's found a use for linear (matrix) algebra, and
as when the cryptologists of recent decades found a use for number
theory.
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Definition of Math by Bertrand Russell

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free math, Definition of math by Bertrand Russell :

In 1901 Bertrand Russell (who once defined mathematics as "the subject
in which we do not know what we are talking about nor whether what we
say is true") discovered the following paradox:

Some sets, such as the set of teacups, are not members of
themselves. Other sets, such as the set of all non-teacups,
are members of themselves. Call the set of all sets which
are not members of themselves S. If S is a member of itself,
then by definition it must not be a member of itself.
Similarly, if S is not a member of itself, then by definition
it must be a member of itself.

This little bump in the road prompted a complete re-examination of the
foundations of mathematics. Godel's discovery was in part a result of
that re-examination.

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Modern Mathematics

Let us study Modern mathematics with the help of online math forum,

In the past for more than two thousand years, mathematics has become a part of the human search for understanding. Mathematical discoveries have come both from the attempt to describe the natural world and from the desire to arrive at a form of inescapable truth from careful reasoning.

These remain fruitful and important motivations for mathematical thinking, but in the last century mathematics has been successfully applied to many other aspects of the human world: voting trends in politics, the dating of ancient artifacts, the analysis of automobile traffic patterns, and long-term strategies for the sustainable harvest of deciduous forests, to mention a few.

Today, with the math help as a mode of thought and expression is more valuable than ever before. Learning to think in mathematical terms is an essential part of becoming a liberally educated person. You can learn with the help of math tutors online.

Manage your Finance with Math

Usage of Math help in your everyday finance,

When you like to save your money to buy something really great. Maybe you really want a new car or maybe its something else. No matter what you are saving for, you need to realize that in order to save money, you really have to know what you are doing when it comes to banking.

Managing your finances can be difficult at times and always requires help in math. There are many different things that need to be considered when it comes to personal finance. This page was created to familiarize you with some basic skills. The activities that you do here should help you in paying bills, balancing your checkbook and calculating interest on your savings account.
What do you want to do first? You can either do an activity that will help you to keep track of your checking account, or you can do an activity that will guide you in keeping track of your savings account. you can learn more with this online math tutor.

Explain Front end estimation

Let us study front end estimation in math,

Front end estimation typically produces an earlier estimation of addition or difference than the answer formed through adding or subtracting rounded numbers.

In front end estimation math, one takes the two maximum digits of a number, and then put zeros on the other position values. This is supposed to create an earlier estimate than rounding and then addition numbers. In this article we shall discuss about the front end estimation math.

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How to factor complex polynomials

Let us study how to factor complex polynomials,

Introduction to factoring complex polynomials:

In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Factorization (also factorisation in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

Complex number can be written as, (a + ib). For factoring the complex polynomial we use the formula.

Formula:



Here, a is co-efficient os x²,, b is co-efficient of x and c is constant.

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What is Deductive reasoning

Let us study about Deductive reasoning definition,

Deductive reasoning refers to the process of closing that something should be true because it is a special case of a general principle that is known to be true.

Deductive reasoning is logically valid and it is the basic method in which mathematical facts are showing to be true. A deductive argument to be in view of sound the argument is obliged to not only be valid, but the premises should be true as well.

It is also called Deductive logic, is reasoning which assess deductive arguments.

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Euclid: Father of Geometry

Who is called The Father of Geometry ?

Perhaps one of the most difficult things about studying great men of the past is the lack of available information on many of them. Facts about one of our greatest mathematicians are shrouded in mystery. There is so much mystery around him that some people think he did not really exist. Who is this mystery math man? He was Euclid of Alexandria.

Euclid is thought to be a Greek man who lived while Ptolemy I reigned in Egypt (323 BC- 283 BC). He worked in the Library of Alexandria. It was considered to be the greatest library in the world at the time.
Some people believe that there was a team of mathematicians working in Alexandria. As the leader of the team, Euclid could have been given the credit for all of the work. However, no records exist to prove or disprove this idea.

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Explain Linear Function Concepts

Let us study about Linear Functions,

Introduction to Linear Functions:

A polynomial functions of single degree is defined as a linear functions. It relates a dependent variable with an independent variable in a simple way. Mathematical equation in which there is no independent-variable is raised to a power greater than one. A simple linear function with one independent variable (y=a+bx) traces a straight line when plotted on a graph. It is also called as linear equation.
Forms of Linear Functions:

The function is defined by f the first degree equation:

f = { ( X, Y)/ Y = mX + b }

where m and b are constants, x and y is called a linear functions. The function derives a straight line while graphing.

Functions such as these gives graph that are straight lines, and, thus, the name linear. There are three main forms in linear functions. They are as follows,

1. Slope-Intercept Form is given by y = mx +b.
2. Point Slope Form is given by m = (y - y1) / ( x – x1).
3. General Form is given by Ax + By + C = 0.

I hope the above explanation was useful, now let me explain about Radicals.

Explain intersecting circles

Let us study about intersecting circles,
The following formula for using finding a intersection point on a circle.

The line intersects circle can be defined as,

Y – Y1 = m(x-x1)

Y=m(x-x1) + y1

R2 = (x-h) 2 + (y-k) 2

R = [sqrt((x-h) 2 + (y-k) 2)]

The r is a intersection point of a line.

Here, the x and y are the co ordinates of the point of an intersection.

The x1 and y1 are the co ordinates of appoint on the line

The h and k are the translation between the center of the circle and also the origin of the coordinate system in the x and y directions respectively.

Angle and Angle Pairs

Angles and Angle Pairs :

Easily as significant as rays and line segments are the angles they form. Without them, there would be none of the geometric figures that you know (with the possible exception of the circle).


Angles

Two rays that have the same endpoint form an angle. That endpoint is called the vertex, and the rays are called the sides of the angle. In geometry, an angle is measured in degrees
from 0° to 180°. The number of degrees indicates the size of the angle. In Figure 1 , rays AB and AC form the angle. A is the vertex. and are the sides of the angle.

Figure 1

∠BAC.
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Central Limit Theorem

Let us learn about Central Limit Theorem,
If the population of all subscribers to the magazine were normal, you would expect its sampling distribution of means to be normal as well. But what if the population were non-normal? The Central Limit Theorem states that even if a population distribution is strongly non-normal, its sampling distribution of means will be approximately normal for large sample sizes (over 30). The Central Limit Theorem makes it possible to use probabilities associated with the normal curve to answer questions about the means of sufficiently large samples.

According to the Central Limit Theorem, the mean of a sampling distribution of means is an unbiased estimator of the population mean.
Similarly, the standard deviation of a sampling distribution of means is
Note that the larger the sample, the less variable the sample mean. The mean of many observations is less variable than the mean of few. The standard deviation of a sampling distribution of means is often called the standard error of the mean. Every statistic has a standard error, which is a measure of the statistic's random variability.
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Fundamental Identities

Let us study about fundamental identities,
If an equation contains one or more variables and is valid for all replacement values of the variables for which both sides of the equation are defined, then the equation is known as an identity. The equation x2 + 2 x = x( x + 2), for example, is an identity because it is valid for all replacement values of x.

If an equation is valid only for certain replacement values of the variable, then it is called a conditional equation. The equation 3 x + 4 = 25, for example, is a conditional equation because it is not valid for all replacement values of x. An equation that is said to be an identity without stating any restrictions is, in reality, an identity only for those replacement values for which both sides of the identity are defined. For example, the identity
is valid only for those values of α for which both sides of the equation are defined.

The fundamental (basic) trigonometric identities can be divided into several groups. First are the reciprocal identities.
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