#### The Mathematics of Waves

Want to see what an ocean wave looks like as a mathematical equation? y = Sin(x) Waves repeat themselves over a consistent period of time and distance, so it is possible to analyze their shape mathematically.

In math, we deal with different types of numbers. Despite the fact that each number is different, they may have some characteristics in common. In order to understand these numbers, they are classified into different groups according to their characteristics. For example, there are natural numbers, whole numbers, rationals, real numbers, and integers.

Let's take a look at integers. And their use in real life. An integer is defined as a number with no fractional part. In other words, we can count forward and backward from one integer to the next in a simple jump of one unit, with no stopping part of the way there. Integers are the numbers we get from rounding fractional numbers up or down to the nearest whole. So, integers can be positive {1, 2, 3, 4, 5, 6 ... }, negative {−1, −2,−3, −4, -5, -6. .... }, or zero {0}

We can represent all integer numbers together as:

Integers( Z ) = { ...6, -5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, 6... }.. The dots represent the infinite numbers.

Integers in Real Life There are many real-life applications for integers; they are more than just numbers on paper. The effect of positive and negative numbers in the real world is different. In most cases, they are used to illustrate two contradictory situations.

For example, when the temperature is above zero, positive numbers are used to denote temperature, whereas negative numbers indicate the temperature below zero. By comparing and measuring two things, one can determine whether they are big or small, or if there are more or fewer things.

A few examples of real-life situations where integers are used are players' scores in golf, football, and hockey tournaments, movie or song ratings; in banks, credits and debits are represented as positive and negative numbers.

Purpose of integers Integers are a commonly used data type in computer programming. For example, whenever a number is being incremented, such as within a "for loop" or "while loop," an integer is used. Integers are also used to determine an item's location within an array.

Math is all about numbers. Numbers are integers. And we are constantly using integer values to calculate real-life situations. An integer value is either positive or negative and naturally that value allows us to gauge what we have and what we don’t.