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Proofs

Proof means sufficient evidence to establish the truth of something. It is obtained from deductive reasoning, rather than from empirical arguments. Proof must show that a statement is true in all cases, without a single exception.

1,294 Questions

How do you prove Fatou's Lemma?

The well-written proof can be found in the Wikipedia article, which can be located in a link below.

Discuss some brief history of trigonometry?

It has been recently discovered (Aug 2017), by researchers at the University of New South Wales, that a 3,700 year old Babylonian tablet, known as Plimpton 332, contained tables of trigonometric ratios. The tablet is approx 1500 years older than the Greek astronomer Hipparchus who has long been regarded as the father of trigonometry. So, with that one discovery, the history of trigonometry has become less brief and its origins have been shifted from Europe to the Middle East. It is not yet clear what else the Babylonians achieved in the intervening 1500 years.

Does p V (q r) and (p V q) r mean the same thing?

The browser which is used for submitting questions is crap (to be polite)! It is therefore likely that I cannot see the question as you would have wished. But, as far as I can make out, the answer is probably not.

Why is algebra 1 referred to as AB?

Algebra 1 is called 'AB' because it covers the first two parts of algebra, whereas algebra 2 is called 'BC' because it covers the second two parts.

A cyclic group of length 2 is called identity?

A cyclic group of order two looks like this.

It has two elements e and x such that ex = xe = x and e2 = x2 = e.

So it is clear how it relates to the identity.

In a cyclic group of order 2, every element is its own inverse.

HOW trigonometry work on math?

AFTER whoever wrote this question takes a course to improve their ENGLISH...

Check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand!

http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html

http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html

http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html

Did Muslim mathematicians intruduce geometry into the world?

Euclid was a Greek Mathematician from Alexandria (Egypt) and his book, the Elements, was the first systematic exposition of the subject. So the answer to the queston is "No".

What is Stewart's Theorem?

Stewart's theorem concerns the relationship between the lengths of a triangle's sides and a cevian. A cevian is a straight line from a vertex to the opposite side. Suppose you have a triangle whose sides are of length x, y and z. Suppose the cevian, of length a, divides the side of length x into segments of lengths p and q (with p nearer to y and q nearer to z.Then, according to Stewart's theorem,y^2*q + z^2*r = x*(a^2 + pq)

How do you know downloding percentage'?

I do not know the downloding percentage or even the downloading percentage.

What are the uses of trigonometry in schools?

There are few uses for trigonometry is schools just as there are few uses for languages or history or geography or, in fact, most subjects. There are three main objectives in teaching most subjects at school:

  • one is to give you a taster of that subject. If you had never come across it you would never know whether or not you wanted to study it.
  • a second is to provide you with enough of the basics so that, if you do choose to study a related subject at a later stage, you would not have to start from scratch. For example, if they did not teach you any mathematics, you could never be a scientist or, alternatively, your first year of studying proper science, you would have to learn basic addition!
  • the third aim, is to provide you with enough basic skills to be able to perform effectively as a productive citizen in society. Despite being a mathematician, and someone who loved trig at school, for most people, this argument does not work.

What should be the next in the rational nos?

No idea what you're on about. If you are asking in what order do the sets of numbers apear in terms of proving there existence, I believe they are in the following order:


N->Z->Q->R->C


Where: N is the set of natural numbers, i.e. whole numbers ranging from 1 to infinity.

Z is the set or whole numbers including zero ranging from -infinity to +infinity

Q is the set of rational numbers, i.e. the set of numbers that can be expressed in the form a/b where a and b are in Z with b not equal to 0.

R is the set or real numbers, the collection of every rational and non rational number.

C is the set of complex numbers, i.e. all numbers that can be expressed as a+biwhere a and b are in R and i is the squareroot of -1.

The odds of getting pregneat with a tuble?

There are many people called Tuble and the odds of getting pregnant with one depends on your relationship.