Study of algebra

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If you have fun doing this, and you do it a lot, welcome to the world
of algebra... you're an algebraist.

Usually, people first encounter algebra when they study the algebra
of numbers. So you may be more used to seeing things like 3x+5=y,
where x and y stand for numbers. examples on math forum; The algebraic
rules numbers obey are

commutativity: x+y = y+x,
associativity: (x+y)+z = x+(y+z), and
distributivity: x(y+z) = xy+xz.

There's also a special number, called zero, and denoted 0. It has the
property that x+0=x.)
more examples on online math forum.

Math rotation example

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You're playing with a square. You notice that you can move the square
some ways without making it seem like you moved the square. For
instance, you can flip it around one of its diagonals. Or, you can
rotate it 90 degrees clockwise (or counter-clockwise). You notice
that sometimes, you can follow such a motion by another such motion
and get something new which doesn't affect the square.

You want to understand these motions. You decide to simplify things
by simply denoting the rotation by 90 degrees clockwise by R and the
90 degree counter-clockwise rotation by L. examples on math forum;
You decide to write RR for
the motion you get when you do R twice. You find that RRRR is really
the same as doing absolutely nothing. You notice that RRR is the same
as L, and LLL=R. You find that RR=LL. You find that you can't get the
flip about the diagonal using just R and L, so you call it F.
learn more on online math forum.

math e

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There are a lot of interesting
properties of "e", as there are with Pi. Some of them are pretty
advanced, and some of them are easy to write down but hard to prove.

"e" is a number, just like Pi, and it has the value
2.718281828459045235306.... So e is not the same as Pi, which is about
3.14159265358979323846.... But while lots of people know Pi, not so
many know about e.

Now, what exactly is so special about e? Does it have a geometric
meaning like Pi (which is the ratio of the circumference of a circle
to its diameter)?

Why does e=2.71828... instead of, say, 17.391526381? Or -592?
Or Pi/2 (which it isn't)? Perhaps you've been told that the
decimal digits of Pi never end, math forum ; and they never repeat like
22/7 = 3.142857142857142857.... Well, e is just like Pi in this
respect; if you keep going, it never stops, and it never repeats.
Learn more on online math forum.

Math calculations

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If one bridge is cheaper but takes longer to build, would that
be better or worse? What is the environmental impact of building a
certain type of bridge in a certain location?

All of these 'business' questions can be very complicated issues,
and different forms of mathematics can help people answer them:
mathematics like algebra, probability, statistics, even calculus.
This brings up the point that engineers are not the only professionals
who need a strong mathematical background. free math; Many professionals are
routinely faced with this same type of 'business' problem that can be
solved using mathematics. Professionals such as business executives,
lawyers, accountants, business analysts, government officials,
financial planners, etc.

The point is, although civil engineers do have technical aspects of
their jobs which require specialized mathematical skills, they also
have many other aspects of their jobs which require the same
mathematical skills that most other professionals need, which should
not be underestimated. Learn more on free math tutoring.

Math technical calculations

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To carry out the technical calculations necessary to plan a
construction project. This is the more obvious aspect of the
engineers' jobs that everyone tends to think about: online math forum; "If a circular
concrete support column for a particular bridge needs to be able to
hold up 28 tons and the concrete being used can support 4,575 pounds
per square foot,

what diameter does the column need to be? If the
column is 22 feet tall, how many cubic yards of concrete will be
needed to make the column?" ...that sort of thing.
hope the above explanation was useful, now let us study more on math forum.

Make math interesting

Welcome to free math tutor,

Find some relation between math and something that you're already interested in.
That might be target shooting, or building electronic devices, or
betting on horses, or playing with model trains. examples on math forum.
It's a good bet that no matter what you like to do, learning about math can let you do it
more easily, and can even increase the amount of enjoyment that you
get out of it.

Another way is to start doing math-related puzzles. Some people find
them incredibly boring, but others find that they make math come
alive. Another way is to learn to appreciate math the way many people
appreciate art, or music - that is, because it's beautiful. Read more on online math forum,
I would _strongly_ recommend that you read Doug Hoftstadter's book _Godel,
Escher, Bach: An Eternal Golden Braid_. Forget about the main chapters
at first. Just read the dialogs _between_ the chapters.

Math Points and angles

Welcome back to free online math tutoring,

We did have a good discussion again today with a few insights. I saw
that the definition you provided - counting sides - is really
topological, more examples on math helper; but it is also very pleasing because it can be
generalized to points and angles. So a side (or point, or angle) is
opposite another side (or point, or angle) if there is an equal
number of sides between the two counting in both directions. So we
preserve the idea that in a pentagon there is a vertex or an angle
opposite each side, but not a side opposite.

One approach that a colleague suggested to try to preserve the common-
sense feeling of opposite was to draw an axis through the "middle" of
the polygon and define two sets of opposition - X-opposite and
Y-opposite. Of course, rotating the figure destroys the relationships,
so I think we set that notion aside. more examples on math tutoring.

Math open ended problem

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I love this sort of open-ended problem, where you're all discovering
together. more help on online math tutors,
I seem to recall discussing a similar concept once, which
either the writer or I called a "parallelogon," but I can't find that
in our archives.

I just did a Google search for "opposite sides
equal," and found these, which might be of interest, though both
require opposite sides to be congruent as well as parallel for their
discussions on online math forum.

String Theory related to math

Welcome to math tutors online for free,

One exception to this is the mathematics that will be needed to work
out the new String Theory of physics. Usually in physics, theorists
think up a theory, then look around for the mathematical tools that
they will be able to use to make predictions with the theory.

Always in the past, they've been able to find such tools. But for the first
time in the history of physics,more on online math tutors; the theories are ahead of the
mathematics. It should be interesting to see how this plays out.

Now us study more on math forum.

Warren McCulloch Number system

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Let us study Warren McCulloch's Number system with math helper,

When Warren McCulloch, one of the great minds in the theory of
computation, was asked upon entering Haverford College what he wanted
to do. He replied, "I have no idea, but there is one question I would
like to answer: What is a number, that a man may know it, and a man,
that he may know a number?"

The point is, these are the kinds of things that mathematicians think
about, which means that you appear to already be well on your way to
becoming a mathematician. Thomas Huxley once said that the happiest
man was the one who had found his work, and had only to do it.

Let us study more on our online math forum.

Introduction of Online Tutoring

Let us study what is online tutoring & gain access to free online math tutor,

Online tutoring can be defined as the process of tutoring within an online virtual environment or can be an networked environment where the learners and the teachers are separated by time and space.

Online tutoring is gaining popularity over the past couple of years due ease of being able to connect to a tutor at moment's notice when help is required. This is especially effective when a student is studying for a test that is scheduled for the next day at school and is stumped on a particular problem, you can find more examples on this math forum.

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Steps to make a number line plot

Let us study about line plot,

* Whether you will first demonstrate the scale which is to be used. If all the scales in the data is measured to be 0 to 10.

* Draw a horizontal line in the paper.

* Divide the drawn horizontal line into two same parts.
* List the data’s which is given and note X on the correct number First draw a horizontal line in a paper and then mark the values in the line. Mark the value X above the corrected number.

I hope the above explanation was useful, now let us study natural log rules

Explain system of linear equations

Let us study System of linear equations,

Introduction to systems of linear equations:

In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. A solution to a linear system is an assignment of numbers to the variables such that all the equations are simultaneously satisfied.

In systems of linear equations, there are unknown variables. We have to find all unknown variables. The example problems for systems of linear equations are given below which helps you to learn solving system of equations.

I hope the above explanation was useful, now let us study Problems on Linear Equations.

Explain five number summary

Introduction to learning five number summary:

Five number summary is one of the interesting topics in mathematics. Five number summary is a sample from which they were derived from a particular group of individuals. Five number summary consists of a set of observations.

In a single variable, five number summary having a set of observations. Five number summary consists of different statistics. Let us we learning about the different statistics involved in five number summary.

Learning Five Number Summary:

Different statistics are involved in five number summary are,

* Minimum
* Maximum
* Median
* Lower quartile
* Upper quartile

I hope the above explanation was useful, now let us study about inch meter.

Introduction of multiplying polynomials

Let us study multiplying polynomials,

The polynomial is the term used in algebra. The polynomial contains the monomial, binomial, trinomial and also the higher order polynomials. Polynomial is the expression that contains the finite length obtained with the help of the variable and also constants.

The polynomial is formed by the basic arithmetic operations. The polynomial may contain the positive and also the negative values. It may also have the non- negative values and the whole- number exponents. The multiplying three polynomials means that the process of finding the product for the three polynomials.

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

Explain Interior angles

Let us study about Interior angles,
Geometry deals about angles and polygons. In geometry, when two lines meet at a point an angle is formed. The point is called the vertex form of the angle. The interior angle is the angle inside the shape and it is calculated by the formula 180(n-2) where n is the number of sides of the shape. Here in this topic we are going to see about geometry interior angle.
Geometry Interior Angle - Formula:

The interior angle of a polygon is
= 180 (n-2)
where n is the number of sides of a polygon.

Exterior of polygon is always 360⁰.

Explain Functions and Relations

Introduction to linear functions and relations:

Let us study about functions and relations,
Linear relations between the linear function can be explained with the help of linear expression and problems. A linear expression shows the relation between the linear function. Linear algebra associates with the families of vectors called linear spaces, and the function contains input one vector and output one vector, based to certain rules. Linear function has a demonstration in analytic geometry and the relation is generalized in operator theory. The relationship is clearly explained with the following linear function examples.

I hope the above explanation helped you.

Explain Intersecting circles

Let us study about Intersecting circles,

Two circles may intersect in two imaginary points, a single degenerate point, or two distinct points.

The intersections of two circles determine a line known as the radical line. If three circles mutually intersect in a single point, their point of intersection is the intersection of their pairwise radical lines, known as the radical center.

The two circles are said to intersect orthogonally if the angle between the tangents at their point of intersection is 900.










I hope the above explanation was useful.

What is an Exponent

Exponents

An exponent is a positive or negative number placed above and to the right of a quantity. It expresses the power to which the quantity is to be raised or lowered. In 4³ , 3 is the exponent. It shows that 4 is to be used as a factor three times: 4 × 4 × 4 (multiplied by itself twice). 4³ is read as four to the third power (or four cubed).
Remember: x¹ = x and x^{0 = 1 when x is any number (other than 0).}
Hope the above explanation was useful.

Method of Statistical Inference

Let us learn the method of statistic
Statistics is also a way of working with numbers to answer puzzling questions about both human and non-human phenomena. Questions answerable by using the “method” of statistics are many and varied: Which of several techniques is best for teaching reading to third-graders? Will a new medicine be more effective than the old one? Can you expect it to rain tomorrow? What's the probable outcome of the next presidential election? Which assembly-line process produces fewer faulty carburetors? How can a polling organization make an accurate prediction of a national election by questioning only a few thousand voters? And so on.

For our purposes, statistics is both a collection of numbers and/or pictures and a process: the art and science of making accurate guesses about outcomes involving numbers.

So, fundamentally, the goals of statistics are

* To describe sets of numbers

* To make accurate inferences about groups based upon incomplete information.
Hope the above explanation helped you, now let me explain about the basics of staticstics.