Year 1989- Volume 25

William Taylor

The popularity of the special theory of relativity stems from extraordinary predictions about time, distance, mass, Energy and the nature of space.

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Bob Hart

About 1637 Pierre Fermat wrote the following famous note in the margin of Bachet's translation of Diophantus' Arithmetica:

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Albert Daoud

The equation  f ( x ) d x = F ( x ) + C  where  f ( x ) d x = F ( x ) + C  is familiar to us when studying integration.

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Q.753 When multiplying two whole numbers a student by mistake reduced the tens digit in the answer by 7.

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Q.762 Simply the sum

sec ( θ ) + sec ( θ ) sec ( 2 θ ) + sec ( 2 θ ) sec ( 3 θ ) + + sec ( ( n 1 ) θ ) sec ( n θ )

 

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Helen Martin

One of the most difficult problems actuaries face is learning how to answer the question "What do you do?". Unfortunately there is no short answer.

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Werner Ricker

Recall that a real number is called rational if it can be expressed in the form  p / q  where  p  and  q  are integers with  q 0.

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David Tacon

Historians seem to generally agree that the first appearance of something which is recognizably civilization occurred in the southern part of Mesopotamia about 5000 years ago.

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a  and  b  are positive integers. Of the following statements, three are true, one is false.

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Q.762 Simply the sum

sec ( θ ) + sec ( θ ) sec ( 2 θ ) + sec ( 2 θ ) sec ( 3 θ ) + + sec ( ( n 1 ) θ ) sec ( n θ )

 

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Q.773 Prove that t tan ( 36 ) × tan ( 72 ) = 5 .

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Bruce Harris

Actuaries may be regarded as highly trained business mathematicians.

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Esther Szekeres

Physics and mathematics have interacted with each other in the course of centuries, each enriching the development of the other.

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Peter Petocz

The aim of this article is to present an unusual application of an area of mathematics: assessing the validity of claims about astrology by using statistical techniques.

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Jim Franklin

In the beginning, mathematically speaking, there were the whole numbers.

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Q.782 Let  S n = 1 1 2 1 4 + 1 2 2 1 4 + 1 3 2 1 4 + + 1 n 2 1 4 . Simply this expression, and show that n
 is large  S n  is approximately equal to 2.

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Q.773 Prove that  tan ( 36 ) × tan ( 72 ) = 5 .

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