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  2. Summation - Wikipedia

    en.wikipedia.org/wiki/Summation

    In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.

  3. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    3 + 2 = 5 with apples, a popular choice in textbooks [1] Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and division. [2] The addition of two whole numbers results in the total amount or sum of those values combined. The example in the ...

  4. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    For example, the identity element of addition is 0 since any sum of a number and 0 results in the same number. The inverse element is the element that results in the identity element when combined with another element. For instance, the additive inverse of the number 6 is -6 since their sum is 0. [41]

  5. Elementary arithmetic - Wikipedia

    en.wikipedia.org/wiki/Elementary_arithmetic

    The sum of two numbers is unique; there is only one correct answer for a sums. [8] When the sum of a pair of digits results in a two-digit number, the "tens" digit is referred to as the "carry digit". [9] In elementary arithmetic, students typically learn to add whole numbers and may also learn about topics such as negative numbers and fractions.

  6. Java version history - Wikipedia

    en.wikipedia.org/wiki/Java_version_history

    Java 5 Update 5 (1.5.0_05) is the last release of Java to work on Windows 95 (with Internet Explorer 5.5 installed) and Windows NT 4.0. [36] Java 5 was first available on Apple Mac OS X 10.4 (Tiger) [37] and was the default version of Java installed on Apple Mac OS X 10.5 (Leopard). Public support and security updates for Java 1.5 ended in ...

  7. Summation by parts - Wikipedia

    en.wikipedia.org/wiki/Summation_by_parts

    It is used to prove Kronecker's lemma, which in turn, is used to prove a version of the strong law of large numbers under variance constraints. It may be used to prove Nicomachus's theorem that the sum of the first cubes equals the square of the sum of the first positive integers. [2]

  8. List of Java keywords - Wikipedia

    en.wikipedia.org/wiki/List_of_Java_keywords

    [5] [6] This keyword is also used to declare that a method returns a value of the primitive type long. [7] [8] native Used in method declarations to specify that the method is not implemented in the same Java source file, but rather in another language. [8] new Used to create an instance of a class or array object.

  9. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    Let A be the sum of the negative values and B the sum of the positive values; the number of different possible sums is at most B-A, so the total runtime is in (()). For example, if all input values are positive and bounded by some constant C , then B is at most N C , so the time required is O ( N 2 C ) {\displaystyle O(N^{2}C)} .