Welcome to online math tutoring,
Associativity and commutativity together imply that the order that addition is performed is irrelevant. An algebra satisfying only associativity is called a semigroup, while a semigroup that also satisfies commutativity is called a commutative semigroup or an Abelian semigroup.
When other axioms are added for zero and negation, then the algebra is called a group, examples given on online math forum; and when commutative, an Abelian group. Groups are some of the most important algebraic structures in modern mathematics. read more on math forum.
Showing posts with label math help. Show all posts
Showing posts with label math help. Show all posts
Friday, August 13, 2010
Geometry angles
Welcome to free math tutoring,
Euclid classifies rectilinear figures by their number of sides in this definition. Classifying them by their number of angles could lead to complications since an angle has to be less than two right angles, and a non-convex figure would have an internal angle greater than two right angles.
The modern English names, however, are based an the number of angles (except quadrilateral): triangle, pentagon, hexagon, heptagon, octagon, etc. free math; From pentagon on up these names derive from the Greek, but they're rarely used past octagon. more examples on math forum.
Euclid classifies rectilinear figures by their number of sides in this definition. Classifying them by their number of angles could lead to complications since an angle has to be less than two right angles, and a non-convex figure would have an internal angle greater than two right angles.
The modern English names, however, are based an the number of angles (except quadrilateral): triangle, pentagon, hexagon, heptagon, octagon, etc. free math; From pentagon on up these names derive from the Greek, but they're rarely used past octagon. more examples on math forum.
Magnitude used in angle
Welcome to free online math tutoring,
As treated by Euclid, rectilinear angles are magnitudes that can be added together. When the sum of angles happens greater than two right angles, it is continued to be treated as a sum of angles rather than an individual angle. For instance, in proposition it is proved that the sum of the interior angles of a triangle equals two right angles.
Treating angles as magnitudes should not be confused with measuring angles. The angles themselves are the magnitudes. The only measurement of angles in the Elements is in terms of right angles (defined in the next definition). online math forum; Degree measurement and radian measurement were not used until later. In terms of degrees a right angle is 90°, while in terms of radians a right angle is pi/2 radians.
Throughout ancient Greek mathematics, only positive magnitudes were considered. Zero and negative magnitudes were not conceived. For the most part, a lack of zero and negative magnitudes complicates mathematics, but occasionally simplifies it. In any case, the power of a mathematics without zero and negative magnitudes is no less in the sense that any statement made using the language of zero or negative magnitudes can be translated into a statement that doesn't use them, although the translated statement may be longer and less understandable.
read more on math forum.
As treated by Euclid, rectilinear angles are magnitudes that can be added together. When the sum of angles happens greater than two right angles, it is continued to be treated as a sum of angles rather than an individual angle. For instance, in proposition it is proved that the sum of the interior angles of a triangle equals two right angles.
Treating angles as magnitudes should not be confused with measuring angles. The angles themselves are the magnitudes. The only measurement of angles in the Elements is in terms of right angles (defined in the next definition). online math forum; Degree measurement and radian measurement were not used until later. In terms of degrees a right angle is 90°, while in terms of radians a right angle is pi/2 radians.
Throughout ancient Greek mathematics, only positive magnitudes were considered. Zero and negative magnitudes were not conceived. For the most part, a lack of zero and negative magnitudes complicates mathematics, but occasionally simplifies it. In any case, the power of a mathematics without zero and negative magnitudes is no less in the sense that any statement made using the language of zero or negative magnitudes can be translated into a statement that doesn't use them, although the translated statement may be longer and less understandable.
read more on math forum.
Thursday, August 12, 2010
Line element
Welcome to math tutor online free,
"Line" is the second primitive term in the Elements. The description, "breadthless length," says that a line will have one dimension, length, but it won't have breadth or depth. In I.Def.5 a surface is defined with the two dimensions length and breadth, and in XI.Def.1 a solid is defined with the three dimensions length, breadth, and depth.
java applet or image
One cannot tell from this definition what kind of line is meant by "line," but later a "straight" line defined to be a special kind of line. One can conclude, then, that "lines" need not be straight. Perhaps "curve" would be a better translation than "line" since Euclid meant what is commonly called a curve in modern English, examples on free math; where a curve may or may not be straight.
Also, from the next definition, it is apparent that Euclid's lines may have ends, so they are "line segments" or "curve segments." But they need not have ends in all cases since the entire circumference of a circle is an example of a line. Indeed, lines need not be finite in all cases; there are a few instances in the Elements where a line is not bounded, and that is usually indicated by the language. more on math forum.
"Line" is the second primitive term in the Elements. The description, "breadthless length," says that a line will have one dimension, length, but it won't have breadth or depth. In I.Def.5 a surface is defined with the two dimensions length and breadth, and in XI.Def.1 a solid is defined with the three dimensions length, breadth, and depth.
java applet or image
One cannot tell from this definition what kind of line is meant by "line," but later a "straight" line defined to be a special kind of line. One can conclude, then, that "lines" need not be straight. Perhaps "curve" would be a better translation than "line" since Euclid meant what is commonly called a curve in modern English, examples on free math; where a curve may or may not be straight.
Also, from the next definition, it is apparent that Euclid's lines may have ends, so they are "line segments" or "curve segments." But they need not have ends in all cases since the entire circumference of a circle is an example of a line. Indeed, lines need not be finite in all cases; there are a few instances in the Elements where a line is not bounded, and that is usually indicated by the language. more on math forum.
Euclidean and Hyperbolic Geometry
Welcome to free math help online,
There are some cases in which assuming different sets of axioms will
give you different bodies of mathematics, and that can be fun. For
example, this is the difference between Euclidean and Hyperbolic
geometry; one simple axiom about parallel lines is changed, and it has
huge effects on what the resulting body of mathematics looks like.
Statements of type (2) are pretty tough, but we'll crack 'em. :-)
Statements of type (3) are things that can make you question your
place in the universe. An Austrian mathematician named Kurt Godel
proved in 1931 that there must be statements of mathematics that
cannot be proved or disproved. examples on math helper; The somewhat
irritating thing is that
we don't know which statements these are. The main thing that
mathematicians get out of this is that the forest of mathematics is a
complicated one indeed, and we'll never completely know its landscape.
learn more examples on online math forum.
There are some cases in which assuming different sets of axioms will
give you different bodies of mathematics, and that can be fun. For
example, this is the difference between Euclidean and Hyperbolic
geometry; one simple axiom about parallel lines is changed, and it has
huge effects on what the resulting body of mathematics looks like.
Statements of type (2) are pretty tough, but we'll crack 'em. :-)
Statements of type (3) are things that can make you question your
place in the universe. An Austrian mathematician named Kurt Godel
proved in 1931 that there must be statements of mathematics that
cannot be proved or disproved. examples on math helper; The somewhat
irritating thing is that
we don't know which statements these are. The main thing that
mathematicians get out of this is that the forest of mathematics is a
complicated one indeed, and we'll never completely know its landscape.
learn more examples on online math forum.
When does 3rd millenium start
Welcome to free online math tutoring,
I actually believe that's a better question for an anthropologist than
a mathematician. The word "millennium" simply means any period of 1000
years, though it's natural for us humans to want to start some
millennium at a known point in history and keep dividing the eons into
consecutive millennia thereafter.
Therefore, if we're going to talk about a "true" millennium, we should
probably fix some important event in the past and count forward 1000
and 2000 years. Supposedly, free math ; we've done this with the birth of Christ.
Seems simple enough - just count forward 2000 years from the nativity,
and pencil in a millennium celebration on the calendar. more explanation on math help online.
I actually believe that's a better question for an anthropologist than
a mathematician. The word "millennium" simply means any period of 1000
years, though it's natural for us humans to want to start some
millennium at a known point in history and keep dividing the eons into
consecutive millennia thereafter.
Therefore, if we're going to talk about a "true" millennium, we should
probably fix some important event in the past and count forward 1000
and 2000 years. Supposedly, free math ; we've done this with the birth of Christ.
Seems simple enough - just count forward 2000 years from the nativity,
and pencil in a millennium celebration on the calendar. more explanation on math help online.
Monday, August 9, 2010
Math reference
Welcome to free math tutoring,
The biographies are an excellent way to keep a subject
interesting. I discovered in college that whenever I wanted to learn
about a new subject, I should start by reading a biography of the
person who came up with it. math helper; Sometimes that would be a whole book.
Sometimes it would be an encyclopedia article. And that method may not
work for you as well as it did for me, but I would suggest that you
give it a try.
(A good biography will do two things for you: first, it will place
whatever the subject did in context, letting you know why other people
thought it was important - why it let them do something they had
previously been prevented from doing. Second, it will expose you to
what more often than not turns out to be the clearest explanation of
the relevant concept - that is, the one that the innovator used to
explain it to himself.)
more examples on online math tutoring.
The biographies are an excellent way to keep a subject
interesting. I discovered in college that whenever I wanted to learn
about a new subject, I should start by reading a biography of the
person who came up with it. math helper; Sometimes that would be a whole book.
Sometimes it would be an encyclopedia article. And that method may not
work for you as well as it did for me, but I would suggest that you
give it a try.
(A good biography will do two things for you: first, it will place
whatever the subject did in context, letting you know why other people
thought it was important - why it let them do something they had
previously been prevented from doing. Second, it will expose you to
what more often than not turns out to be the clearest explanation of
the relevant concept - that is, the one that the innovator used to
explain it to himself.)
more examples on online math tutoring.
Learn about math
Welcome to free online tutoring math,
If you want to learn about math... well, there are so many good
books that I hesitate to recommend just one or two. Go to the math
section of a good bookstore and start browsing. Pick up a book that
looks interesting, open it to somewhere in the middle, and read a few
pages. See if the author seems to be on your wavelength. examples on math helper;
When he or she explains things to you, do they seem clear, or do you have to
struggle to understand what he or she is saying? If it isn't
connecting with you, put the book down and look at another one.
The good news is, I can guarantee you that there are a number of books
out there that, once you've found them, will seem to have been written
especially for you. The bad news is, you may have to kiss a lot of
frogs to find a prince. So kiss them quickly, and keep looking.
Hope the above explanation was useful, now let us learn about free math tutoring.
If you want to learn about math... well, there are so many good
books that I hesitate to recommend just one or two. Go to the math
section of a good bookstore and start browsing. Pick up a book that
looks interesting, open it to somewhere in the middle, and read a few
pages. See if the author seems to be on your wavelength. examples on math helper;
When he or she explains things to you, do they seem clear, or do you have to
struggle to understand what he or she is saying? If it isn't
connecting with you, put the book down and look at another one.
The good news is, I can guarantee you that there are a number of books
out there that, once you've found them, will seem to have been written
especially for you. The bad news is, you may have to kiss a lot of
frogs to find a prince. So kiss them quickly, and keep looking.
Hope the above explanation was useful, now let us learn about free math tutoring.
Math latter numbers
Welcome to online math tutoring,
This is kind of interesting! We give the latter numbers a name -
'prime' - and now we can start to think about what things are true of
these numbers: How many are there? How are they distributed? How
can we find them? examples on math helper; If someone gives me a really big number like
2194359484329019, how can I tell whether it's prime or not?
Now, here's the important point: All of this stuff is presented to
students as if it's always been known. But in fact, it was all
discovered by mathematicians playing around, making up questions and
then trying to answer them, and then sharing their answers with other
mathematicians who would use the answer to make up new questions, and
so on.
Get more help with math tutor online.
This is kind of interesting! We give the latter numbers a name -
'prime' - and now we can start to think about what things are true of
these numbers: How many are there? How are they distributed? How
can we find them? examples on math helper; If someone gives me a really big number like
2194359484329019, how can I tell whether it's prime or not?
Now, here's the important point: All of this stuff is presented to
students as if it's always been known. But in fact, it was all
discovered by mathematicians playing around, making up questions and
then trying to answer them, and then sharing their answers with other
mathematicians who would use the answer to make up new questions, and
so on.
Get more help with math tutor online.
Math is F-U-N
Welcome to Math help online,
Here's the big secret that everyone is keeping from you: Math is
F-U-N. It's more fun than video games, more fun than sports, more fun
than just about anything you can think of... once you see it for what
it is, which is a huge,math help; international, cross-generational,
fantastically whimsical, collaborative game of "What if?" played by
people who get paid good salaries to do something they'd do anyway,
for free.
So the question is; why do we do this? It's possible that we're just
inept at figuring out how to teach things. (As someone once pointed
out, if we had to teach children to walk, they'd never learn!) On the
other hand, there might be a method to the madness. If _everyone_
learned to be good at math, then there would be more competition for
all those high-paying jobs. As it is, by making math seem much more
difficult than it is, we ensure that we'll always have a steady supply
of people to work at fast food restaurants, pick up the trash, turn
wrenches in factories, and so on. study more on math forum.
Here's the big secret that everyone is keeping from you: Math is
F-U-N. It's more fun than video games, more fun than sports, more fun
than just about anything you can think of... once you see it for what
it is, which is a huge,math help; international, cross-generational,
fantastically whimsical, collaborative game of "What if?" played by
people who get paid good salaries to do something they'd do anyway,
for free.
So the question is; why do we do this? It's possible that we're just
inept at figuring out how to teach things. (As someone once pointed
out, if we had to teach children to walk, they'd never learn!) On the
other hand, there might be a method to the madness. If _everyone_
learned to be good at math, then there would be more competition for
all those high-paying jobs. As it is, by making math seem much more
difficult than it is, we ensure that we'll always have a steady supply
of people to work at fast food restaurants, pick up the trash, turn
wrenches in factories, and so on. study more on math forum.
Friday, August 6, 2010
New Tutoring
Welcome to online math forum,
Let us study the new way of tutoring, it is called online math tutoring,
Mathematics is a one of the logical subject to all grade students. Basic mathematics operations are addition, subtraction, multiplication, division. Generally math contains the topic of algebra, geometry, probability, percentage, sets, number system. In this article mathematics help solving online; we are going to see about some mathematics example problems with clear solutions.
Generally online means here connect two peoples (student and tutor) in different places through the computer, web, internet etc, both student and tutor should communicate directly with help of internet. Here student can get more the mathematics help from the tutor through online chatting.
You can get more help on math help com
Let us study the new way of tutoring, it is called online math tutoring,
Mathematics is a one of the logical subject to all grade students. Basic mathematics operations are addition, subtraction, multiplication, division. Generally math contains the topic of algebra, geometry, probability, percentage, sets, number system. In this article mathematics help solving online; we are going to see about some mathematics example problems with clear solutions.
Generally online means here connect two peoples (student and tutor) in different places through the computer, web, internet etc, both student and tutor should communicate directly with help of internet. Here student can get more the mathematics help from the tutor through online chatting.
You can get more help on math help com
Thursday, July 15, 2010
photophosphorylation
Let us study about photophosphorylation,
Photophosphorylation is the process of creating ATP using a Proton gradient created by the Energy gathered from sunlight. The process of creating the Proton gradient resembles that of the electron transport chain of Respiration. But since formation of this proton gradient is light-dependent, the process is called Photophosphorylation.
1. Non-cyclic Photophosphorylation - During the movement of electrons shown in red, H+ moves across the membrane. The movement of electrons "drives" the reactions shown in blue.
2. Cyclic Photophosphorylation - During the movement of electrons shown in red, H+ moves across the membrane. These electrons don't generate NADPH, but the H+ transport can produce ATP.
I hope the above explanation was useful, now let us study about cell membrane.
Subscribe to:
Posts (Atom)