Remembering formulas

Welcome to free math help online,
I can sympathize with you, because I have a similar problem. I've
_never_ been able to remember formulas, and the way that I've had to
compensate is that whenever I learn a new formula, I have to learn how
to derive it from first principles - by which I mean, the things that
are so basic that I _can't_ forget them.

(One of the luckiest breaks I ever caught in my life was when I took
second-semester calculus in college. examples on math forum; That's the semester when you
have to memorize about a zillion formulas that all look pretty much
the same - one plus or minus the sine or cosine of plus or minus
something, under or over the square root of something similar - so I
fully expected to fail. But on the first day, the professor said: "I
don't expect you to remember anything that I can't remember, and the
only thing that I can remember is that cos^2 + sin^2 equals 1." So
you're not alone!)

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Math Derivations

Welcome to online math tutoring,

Mathematicians can come up with some pretty weird stuff,
but the individual steps in each derivation are built entirely on
processes like the one outlined above.

Additionally, mathematical
publications are very closely scrutinized by several mathematicians
other than the author before being published, and are often criticized
by even more after publication.

All of this amounts to a good
assurance that theorems do in fact follow from assumptions. more explanations on free online math tutor and math forum.

Mathematical realm

Welcome to math online tutor,
mathematical realm, when I say that 2+3 = 5, I am not
saying that any particular 2 and 3 items are the same as any
particular 5 items. I am saying, in an abbreviated form, that whenever
I put together 2 of something and 3 more of them, I will have 5 in
all. Also, I am not somehow "combining" a "2" and a "3" to make
something new that is identical to "5";

I am performing an operation
on two numbers that is the abstract representation of putting together
two sets of things, in order to determine the number of things in the
combined set. math help If you prefer, you can say I am simply stating a
relation among the numbers 2, 3, and 5.
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Arithmetic and Math

Welcome to math help online,

Arithmetic is just one branch of mathematics, namely that involving
basic techniques of calculation with numbers. When you add, subtract,
multiply, divide, take square roots, and so on, you are doing
arithmetic.

When you solve an equation you are doing algebra. When you
determine relations between shapes or find their area, you are doing
free math geometry (though the latter calculation will be done by applying
arithmetic to the geometric formulas).

Most of what young children learn in math is arithmetic.
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Math and Art

Welcome to online math tutoring,

There may be much in common between mathematics and art, and since
art is also difficult to define, it is difficult to discuss this
relation. Certainly, there are definitions of art that would allow the
inclusion of mathematics as an art. The creation of mathematics
requires creativity, and I think most mathematicians would agree that
some constructs are more beautiful than others, so that there is an
aesthetic aspect to mathematics.

In any case, mathematics certainly is a human endeavor involving the
exchange of ideas between human beings. math help com It has been around for
millennia, and shows no signs of abatement.

These ideas are debatable and reflect my own personal opinion. Also,
this response is really too short to explore all the aspects your
question addresses math forum.