Norman is a language spoken mainly in Normandy. It is a Romance language (a language which comes from Latin). It is closely related to French and is often called "Norman French". After the Norman Conquest, Norman changed the English language considerably.
Forms of the Norman are still used in the Channel Islands,
No one now uses Sercquiais or Auregnais as their first language, but Jèrriais and Guernésiais are still used.
Division (mathematics)
In mathematics, the word "division" means the operation which is the opposite of multiplication. Some symbols for division can be a slash (formula_1), a (fraction) line, or the division sign (formula_2), as in:
where each of the three expressions means "6 divided by 3", with 2 as the answer. The first number is the dividend (6), and the second number is the divisor (3). The result (or answer) is the quotient, where any left-over amount as whole numbers is called the "remainder". For example, 14/4 gives quotient 3 with remainder 2, all expressed as the number , or as or 3.5).
The numbers involved in division can be very big, such as the case with two hundred: 200/5 = 40, or with 7 billion:  7,000,000,000 / 1000 = 7,000,000 (where the quotient is equal to 7 million).
If "c" times "b" equals "a", written as:
where "b" is not zero, then "a" divided by "b" equals "c", written as:
For instance,
since
In the above expression, "a" is called the dividend, "b" the divisor and "c" the quotient.
Division by zero, as in
is not defined.
Division is most often shown by placing the "dividend" over the "divisor" with a horizontal line, also called a vinculum, between them. For example, "a" divided by "b" is written as
This can be read as "a divided by b", or "a over b". A way to express division all on one line is to write the "dividend", then a slash, then the "divisor", like this:
This is the usual way to specify division in most computer programming languages, since it can easily be typed as a simple sequence of characters.
A typographical variation which is halfway between these two forms uses a slash, but elevates the dividend and lowers the divisor:
Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are integers (in which case, the two numbers are typically referred to as "numerator" and "denominator"). A fraction is an accepted way of writing numbers. It is not always expected that the result of the division is written in decimals.
A less common way to show division is to use the obelus (or division sign) in this manner:
But in elementary arithmetic this form is used rather often. The obelus is also used alone to represent the division operation itself, as in the case of a label on a key of a calculator.
In some non-English-speaking cultures, ""a" divided by "b"" is written as "a" : "b". However, in English-speaking countries the colon is restricted to expressing the related concept of ratios (where "a":"b" reads ""a" is to "b"").
Division
Division could mean:
Processes:
Units/ Entities:
Music:
Miscellaneous:
Divisor
In mathematics, a divisor of an integer "n", also called a factor of "n", is an integer which divides "n" without leaving a remainder. The statement ""m" is a divisor of "n"" can be written as formula_1. Any number is always divisible by 1 and itself, which are two of the divisors. A prime number is a number with no other divisors. The positive divisors of a number "n", other than "n" itself, are the proper divisors of "n".
Finding one or more factors of a given number is called factorization.
For example, 7 is a divisor of 42 because 42÷7 = 6. We also say that "42 is divisible by 7", "42 is a multiple of 7", "7 divides 42", or "7 is a factor of 42", and we usually write 7 | 42. For example, the positive divisors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.
In general, we say that "m" divides "n" for non-zero integers "m" and "n", if and only if there exists an integer "k" such that "n" = "km". Thus, divisors can be negative as well as positive, although we often restrict our attention to positive divisors. (For example, there are six divisors of four, 1, 2, 4, -1, -2, -4, but one would usually mention only the positive ones, 1, 2, and 4.)
1 and -1 divide (are divisors of) every integer, every integer is a divisor of itself, and every integer is a divisor of 0, except by convention 0 itself (see also Division by zero). Numbers divisible by 2 are called even, and numbers not divisible by 2 are called odd.
A divisor of "n" that is not 1, -1, "n" or -"n" is known as a non-trivial divisor; numbers with non-trivial divisors are known as composite numbers, while prime numbers have no non-trivial divisors.
The name comes from the arithmetic operation of division: if "a÷b" = "c", then "a" is the dividend, "b" the divisor, and "c" the quotient.
There are properties which allow one to recognize certain divisors of a number from the number's digits. Those properties can be used as "math tricks" to quickly spot some divisors of a number.
For example, if the last digit is even (0, 2, 4, 6 or 8), then 2 is a divisor. If the last digit is 0 or 5, then 5 is a divisor. If the digits add up to a multiple of 3, then 3 is a divisor. For the number 340, ending in "0" then both 2 and 5 are divisors, plus 2×5 = 10 is also a divisor. Dividing by 10, 340/10 = 34, as finally 2×17. Combining all the smaller numbers, the 12 divisors of 340 are:
Note that any number is always evenly divisible by 1 and itself.
Remainder
In arithmetic, the result of the division of two integers usually cannot be expressed with an integer quotient, unless a remainder—a amount "left over" after the division—is also accepted.
Given a natural number "a" and a non-zero natural number "d", it can be shown that there exist unique integers "q" and "r", such that "a" = "qd" + "r" and 0 ≤ "r" < "d". The number "q" is called the "quotient", while "r" is called the "remainder".
If "a" and "d" are integers with "d" being non-zero, then a remainder is an integer "r" such that "a" = "qd" + "r" for some integer "q", and with 0 ≤ |"r"| < |"d"|.
When defined this way, there are two possible remainders. For example, the division of -42 by -5 can be expressed as either
or
So the remainder is then either 3 or -2.
This ambiguity in the value of the remainder is not very serious; in the case above, the negative remainder is obtained from the positive one just by subtracting 5, which is "d". This holds in general. When dividing by "d", if the positive remainder is "r", and the negative one is "r", then
When "a" and "d" are real numbers, with "d" being non-zero, then "a" can be divided by "d" without remainder, with the quotient being another real number. If the quotient is constrained to being an integer, however, the concept of remainder is still necessary. It can be proved that there exists a unique integer quotient "q" and a unique real remainder "r" such that "a"="qd"+"r" with 0≤"r" < |"d"|. Similar to the case of division of integers, the remainder could be required to be negative, that is, -|"d"| < "r" ≤ 0.
Extending the definition of remainder for real numbers, as described above, is not of theoretical importance in mathematics; however, many programming languages implement this definition—see modulo operation for more.
Remainder (disambiguation)
Remainder is the amount "left over" when dividing two integers.
Remainder could also mean:
List of 20th Century Studios movies
This is a list of movies produced and/or distributed by the U.S. movie studio 20th Century Fox. The company was founded on May 31, 1935 as a merger between Fox Film Corporation and 20th Century Pictures. For the movies of those two companies, see List of pre-1940 Fox films and List of 20th Century Pictures films.
Andreas Starke