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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

Why is 14 not a square number?

square no. Means reapeating the particular no. Twice. For ex. 1* 1equal 1, 4 * 4 equal 16, 7 * 7 equal 49. The no.s 1, 4, 49 are sq. Nos . 2 * 3 equals 6 and 5 * 2 equalls 10 are not a square no. Two identical no are multiplied and tie resultent is called a square no. Any two identical nos are multiplied does not give 14. So...

3*3 = 9 and 4*4=16. There are no integers between 3 and 4 so there are no square numbers between 9 and 16.

What do you do if you only have a day to get your math paper done and you need answers?

Come to WikiAnswers.com or Ask.com or Answers.com and ask your Math questions. Just don't tell your parents. Or your teacher. You can't even tell your best friend. Even they might tell on you. Tell nobody.

What equation proves that the decimal of never ending 9s equals 1?

Technically, .3333333333 ever going is 1/3. So, .666666666666 ever going is 2/3.

So, at this point it would be .9999999999999 going on forever would be 3/3 which is equivalent to 1!

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Answer 2.

If x = 0.99999 (recurring)

then

10x = 9.99999 (recurring)

9x = 10x - x

Therefore

9x = 9.99999 (recurring) - 0.99999 (recurring)

9x = 9

x = 1

Therefore 0.99999 (recurring) = 1.

What are some examples of false proofs other than 1 equals 2 and all triangles are isosceles?

The statements that you offer as examples of false proofs are actually not false proofs, they are merely false assertions. You have not offered any line of reasoning. You would have to explain why 1 equals two, or all triangles are isosceles, in order to have a false proof. Here is a recent example of a false proof. Last month, in April 2013, the continent of North America experienced colder weather than the average for April. As a result, some people have concluded that global warming is not happening. The belief is that if there is some part of the world that was not warmer than average last month, then the world must not be on a long-term warming trend. This is, of course, not true. The long-term climate trends show global warming, but there are occasional fluctuations.

Prove and disprove the statement that every prime number is an even number?

To disprove this all you need to do if find one example of a prime that is not even. Such an example is called a counterexample.

If a statement that all such and such or every such and such has a certain property, all you have to do to disprove it it to demonstrate the existence of on such and such that lacks the property .

Are binary numbers used mostly in the science of computers?

No. All computers only understand binary, which is 0 as "off" and 1 as "on."

Why does multiplication by 2 define a bijection from R to R R meaning set of Real numbers but not from Z to Z Z meaning set of integers?

It's not a bijection in Z because it's not surjective. For example, f(x) = 3 has no solution in Z. In other words, you can't double an integer (Z) to get an odd number. It works in R because it's ok to have decimals.

Where did ramanujan die?

Srinivasa Ramanujan, who was said by GH Hardy to have talent "in the same league as legendary mathematicians such as Gauss, Euler, Cauchy, Newton and Archimedes", passed away at the age of 32 in Chetput, Madras, India.

Why are there so many ways to prove the pythagorean theorem?

Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.

Is geometry useful at all?

It might not seem like math is useful at all, but it really is! For example, one major application of geometry would be working with areas and volumes. We encounter volumes every day; recipes, food labels, etc. Additionally, areas are quite useful; flooring is sold by the square foot, for example.

A good source of "real world" applications of mathematics can be found in word problems in many textbooks.