Что значит odd и even

5 способов для определения оdd / even в web-приложении

В статье будут рассмотрены 5 способов для для определения четности / нечетности строки в цикле. В качестве языка для примеров взят javascript. Некоторые из способов полностью переносимы в любые другие языки.

Способ #1

Этот способ, пожалуй, самый распространенный. Его можно встретить во всевозможных примерах, мануалах. Основывается он на четности и нечетности чисел (проверяем остаток от деления на двойку).

Способ #2

Следующий способ основывается на простом математическом правиле — минус на минус дает плюс, плюс на минус — минус. На практике встречается реже чем первый, но все-таки встречается.

Способ #3

Данный способ определяет четность / нечетность простой проверкой бита.
В реальных проектах такого способа я не встречал, но все же он работает.

Способ #4

Этот способ примитивен, его принцип заключается в том, что бы присваивать переменной типа boolean обратное значение в цикле. На практике встречается очень редко.

Способ #5

Следующий способ основывается на css и для меня является приоритетным для использования. Не поддерживается только IE 7-8.

Возможно, кто-то использует какой-нибудь свой оригинальный способ и захочет им поделиться. Пишите, добавлю в статью

odd and even

четность и нечетность функции
Четной функция называется тогда, когда для любых двух различных значений ее аргумента f ( -x) =f(x), например, y= |x|; нечетной — такая функция, когда f(-x) = — f(x), например, y= x2n+1, где n — любое натуральное число. Функции которые не являются ни четными, ни нечетными, обычно называются аморфными. График четной функции симметричен относительно оси ОУ, а нечетной — относительно начала координат О.
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Тематики

14 and even

even if — даже если, хотя бы и

15 odd

16 odd

17 even

18 Odd/Even ratio

19 odd

20 odd

odd man ( или lad, hand) челове́к, выполня́ющий случа́йную рабо́ту; разнорабо́чий

three pounds odd три с ли́шним фу́нта; три фу́нта, не счита́я ши́ллингов и пе́нсов

twenty odd years два́дцать с ли́шним лет

forty odd сверх сорока́, со́рок с ли́шним

odd houses дома́ с нечётными номера́ми

odd months ме́сяцы, име́ющие 31 день

the odd man реша́ющий го́лос [ср. тж. 2) ]

См. также в других словарях:

Odd and Even — Not to be confused with Odd or Even. Odd and even redirects here. For other uses, see Odd and even numbers, Odd and even functions, Odd and even permutations and Odd and even ordinals. Odd and Even is a solitaire card game which is played with… … Wikipedia

odd and even. — See odd or even. [1830 40] * * * … Universalium

odd and even — noun see odd or even … Useful english dictionary

odd and even. — See odd or even. [1830 40] … Useful english dictionary

odd and even — divisible by 2 and not divisible by 2 (about numbers) … English contemporary dictionary

odd or even — noun or odd and even or odds or evens : one of several games of chance or skill in which there is guessing or betting as to whether a certain number will be odd or even: as a. : a game in which one player selects and holds an odd or even number… … Useful english dictionary

odd or even — any of various games of chance in which one bets on an odd or even number, as one in which two players alternately draw from a pile of an odd number of counters any desired number up to a prearranged limit, the object being to have drawn an odd… … Universalium

Never Odd or Even — This article is about the album by Kyle Hollingsworth. For the album by Theset, see Neveroddoreven (Theset album). For the album by I Monster, see Neveroddoreven (I Monster album). Never Odd or Even Studio album by Kyle Hollingsworth Released… … Wikipedia

odd-e|ven — «OD EE vuhn», adjective. U.S. of or having to do with a system of restricting the sale of gasoline in a period of shortage by matching odd and even numbered days on the calendar with odd and even license plate numbers: »Panicky motorists bluffed… … Useful english dictionary

Even — GeneralEven may refer to: * Even, a Scandinavian male personal name (coincidentally, Odd is also a common Norwegian name). * Even (people), an ethnic group from Siberia and Russian Far East **Even language, a language spoken by the Evens * Even… … Wikipedia

Odd–even sort — Example of odd even transposition sort sorting a list of random numbers. Class Sorting algorithm Data structure Array Worst case performance … Wikipedia

Even and Odd Numbers

Even and odd numbers are unique sets of whole numbers that are classified as odd and even on the basis of certain properties. It should be noted that there is no number that can be both even and odd. Even numbers are those numbers that are completely divisible by 2, whereas, odd numbers are not completely divisible by 2.

1.	What are Even and Odd Numbers?
2.	Difference Between Even and Odd Numbers
3.	Properties of Even and Odd Numbers
4.	Even and Odd Numbers Chart
5.	FAQs on Even and Odd Numbers

What are Even and Odd Numbers?

An even number is defined as a number that can be divided into two equal groups. On the other hand, an odd number is defined as a number that cannot be divided into two equal groups.

Definition of Even and Odd Numbers

Even and odd numbers can be defined as follows:

Even Number: A number that is divisible by 2, leaving 0 as the remainder is called an even number.
Odd Number: A number that is not divisible by 2 and leaves 1 as the remainder is called an odd number.

Set Representation of Even and Odd Numbers

The set of even numbers is represented as , where k is an integer and 'W' is the set of whole numbers.
The set of odd numbers is represented as , where 'k' is an integer and 'N' is the set of natural numbers.

Difference between Even and Odd Numbers

The following table shows the difference between even and odd numbers.

Even Numbers	Odd Numbers
Even numbers are completely divisible by 2.	Odd numbers are not completely divisible by 2
If the last digit of a given number is even, then that number is considered to be even.	If the last digit of a given number is odd, then that number is considered to be odd.
Even numbers can be grouped into pairs.	Odd numbers cannot be grouped into pairs.

Properties of Even and Odd Numbers

Here is a list of a few properties of even and odd numbers:

Even Numbers + Even Number = Even Number. For example, 10 + 8 = 18
Even number + Odd Number = Odd Number. For example, 14 + 21 = 35
Odd number + Odd Number = Even Number. For example, 23 + 5 = 28.
Even numbers — Even Number = Even Number. For example, 76 — 12 = 64
Even Number — Odd Number = Odd Number. For example, 28 — 3 = 25 OR Odd Number — Even Number = Odd Number. For example, 29 — 12 = 17
Odd number — Odd Number = Even Number. For example, 43 — 11 = 32
Even Number × Even Number = Even Number. For example, 8 × 6 = 48
Even number × Odd Number = Even Number. For example, 12 × 9 = 108

Even and Odd Numbers Chart

An even and odd numbers chart is given below that shows numbers till 100. The numbers shaded in blue are even numbers whereas the numbers shaded in yellow are odd numbers.

Odd and Even Numbers 1 to 100

The following chart shows odd and even numbers from 1 to 100.

The numbers that end with 0, 2, 4, 6, and 8 are even numbers.
The numbers that end with 1, 3, 5, 7, and 9 are odd numbers.

Even and Odd Numbers Chart

How to Find Even and Odd Numbers?

We can check whether a given number is an even or an odd number using either of the following ways:

By checking the digit on 'ones' place of the given number, we can identify odd and even numbers easily. Even numbers end with 0, 2, 4, 6, 8, and odd numbers end with 1, 3, 5, 7, and 9.
By equal grouping: Even numbers can be grouped into pairs whereas odd numbers cannot be grouped in pairs.

Tips on Even and Odd Numbers

In counting numbers, each alternate number starting from 1 is an odd number, for example, 1, 3, 5, 7, 9, 11, 13, and so on are odd numbers.
Similarly, every alternate number starting from 2 is an even number, for example, 2, 4, 6, 8, 10, 12, and so on are even numbers.
An easy way to find out whether a given number is even or odd is to check its divisibility by 2.
Non-integer numbers are neither even nor odd, such as 1/2, 0.88, or infinity.

☛ Related Articles

Examples of Odd and Even Numbers

Example 1: Ron had 40 balls in all. He gave 29 balls to his friend. Check if the number of balls left with him are even or odd in number.

Solution:

Ron had 40 balls, and he gave 29 balls, so he had 11 balls left with him because 40 — 29 = 11. Using the properties of even and odd numbers we can conclude that since 11 cannot make equal pairs of 2, it is an odd number.

Example 2: Determine whether 903 is an odd number or an even number.

Solution:

Using the properties of even and odd numbers, let us divide the given number 903 by 2. We get the remainder as 1 which proves that 903 is an odd number.

Example 3: Sort the odd and even numbers from the following: 24, 27, 37, 14, 86, 77

Solution:

In the given set of numbers,

The even numbers are: 24, 14, 86

The odd numbers are: 27, 37, 77

Practice Questions on Even and Odd Numbers

FAQs on Even and Odd Numbers

What is the Definition of Even and Odd Numbers?

The numbers ending with 1, 3, 5, 7, and 9 are odd numbers whereas the numbers ending with 0, 2, 4, 6, and 8 are even numbers. In other words, an even number is defined as a number that can be divided into two equal groups. For example, the numbers 22, 34, 70, 68, and so on are even numbers. On the other hand, an odd number is defined as a number that cannot be divided into two equal groups. For example, numbers such as 13, 25, 37, 49, and so on, are odd numbers.

Is Infinity Odd or Even?

Infinity is not an actual representation of a number. It is a concept. Therefore, it is neither odd nor even. However, a set may be called an even set, considering all even numbers from 2 to infinity.

What is the Smallest Odd Number?

The smallest odd number is '1'. It is neither a prime number nor a composite number by convention.

How to Classify Even and Odd Numbers?

To classify an even or odd number, we need to observe the last digit of the number, that is, the digit in ones place. When that digit is any of the following numbers, 0, 2, 4, 6, or 8, then the number is even, whereas, when the last digit is 1, 3, 5, 7, or 9, then the number is odd.

What is the Smallest 6-digit Even Number?

The smallest 6-digit even number is 100000, because after 100000, the next even number is 100002, and the even number before 100000 is 99998 which is a 5-digit number.

Are Decimal Numbers Considered Even or Odd Numbers?

Since decimals are not whole numbers, they cannot be classified as even or odd numbers. The same is the case with fractions as well.

What are Prime Even and Odd Numbers?

A prime number is a number that has only two factors, 1 and the number itself. For example, 3, 5, 9, 11, 13, 15, 47, and so on. Even numbers are those numbers that are completely divisible by 2. For example, 2, 4, 26, 78, and so on. Odd numbers are those numbers that are not completely divisible by 2. For example, 1, 3, 9, 21, and so on.

Therefore, if we need to identify prime even numbers, we have 2 as the only even number that is prime, the rest of the even numbers are not prime.
Prime odd numbers are those odd numbers that are prime. This means odd numbers that have only 2 factors (1 and the number itself) are called prime odd numbers. For example, 3, 5, 7, 11, 13, and so on are prime odd numbers. It should be noted that odd numbers like 9, 15, 21, and so on are not prime.

What is the Sum of an Even and Odd Number?

The sum of an even and an odd number is an odd number. For example, 6 + 11 = 17. Here 6 is an even number, 11 is an odd number, and their sum 17 is an odd number.

What is the Product of an Even and Odd Number?

The product of an even and an odd number is an even number. For example, 22 × 7 = 154. Here 22 is an even number, 7 is an odd number, and their product 154 is an even number.