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Floating point numbers in Scilab
Floating point numbers in Scilab

Note: Proper formating is required in some case: for
Note: Proper formating is required in some case: for

Divisibility Math Tricks to Learn the Facts (Divisibility)
Divisibility Math Tricks to Learn the Facts (Divisibility)

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... Notice that we carefully assumed that x be nonzero. Indeed, if x = 0, then m must be equal to zero, while the two different signs s = 0 and s = 1 produce the same result. This leads in practice to consider the two signed zeros -0 and +0. This point will be reviewed lated in the context of the analyz ...
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Reflection: How can we tell if a number is divisible by 2?

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4 Jan 2007 Sums of Consecutive Integers

... across the following question in a book by André Weil [4, Question III.4]: Which natural numbers can be written as the sum of two or more consecutive integers? The origin of this question is unknown to me, but one can easily believe that it is part of the mathematical folklore. Solutions to this pr ...
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Sample Questions for Test 2

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Division by zero



In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value and is called an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst (""ghosts of departed quantities"").There are mathematical structures in which a/0 is defined for some a such as in Riemann spheres and real projective lines; however, such structures cannot satisfy every ordinary rule of arithmetic (the field axioms).In computing, a program error may result from an attempt to divide by zero. Depending on the programming environment and the type of number (e.g. floating point, integer) being divided by zero, it may generate positive or negative infinity by the IEEE 754 floating point standard, generate an exception, generate an error message, cause the program to terminate, or result in a special not-a-number value.
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