The field of operations research (OR) employs statistical analysis, mathematical models, and optimisation strategies to address challenging decision-making issues in a range of sectors. It first appeared in World War II, when resource allocation and strategic planning were necessary for military operations. It has now spread into a wide range of industries, including manufacturing, banking, logistics, healthcare, and more. OR aids businesses in streamlining operations, cutting expenses, and increasing efficiency by offering data-driven insights and solutions....

In our daily lives, most of our observations are in the form of numerical data, which are the observed values of random variables. A random variable is the building block of probability theory and statistics; it stands for the random numerical outcome of a random event. In this article, we will study random variables and the daily life applications of random variables, as they have a wide application that is unseen by many....

Continuity is one of the basic properties of functions that help us to predict the flow of functions without abrupt changes. In mathematics, a function is said to be continuous in a given interval if there is no break in the graph of the function in the entire interval range....

Complex roots in mathematics typically arises when solving polynomial equations that don’t have real solutions. A complex number is composed of a real part and an imaginary part and is generally written in the form a+bi where a and b are real numbers, and i is the imaginary unit with the property i2=−1....

To calculate the number of seconds in a day, you need to consider that there are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. You can multiply these values together to find the total number of seconds in a day....

The sum to product formulas are trigonometric identities that convert the sum or difference of two trigonometric functions into a product of trigonometric functions. These formulas are particularly useful in simplifying expressions, solving trigonometric equations, and integrating functions....

Multiplication Table or Times Table of 5 is the list of some of the first multiples of 5 such as 5, 10, 15, 20, 25, . . . and so on. Generally, multiplication tables are written for the first ten natural numbers i.e., 1 to 10. But it is possible to write a table for any finite possible length....

Derivative of sin inverse x is 1/√(1-x2). The derivative of any function gives the rate of change of the functional value with respect to the input variable. Sin inverse x is one of the inverse trigonometric functions. It is also represented as sin-1x. There are inverse trigonometric functions corresponding to each trigonometric function. The derivative of a function also helps in finding the slope of the tangent to the curve represented by the function at any point....

Logarithm is a mathematical function with multifaceted applications across diverse domains such as finance, engineering, science, and the intricacies of our everyday existence. They offer a potent tool for comprehending exponential relationships and streamlining intricate computations. In this article, we will examine the useful applications of logarithms in many areas of daily life....

Conversion of 100 degrees from Fahrenheit to Celsius can be achieved using the formula:...

In contrast, 0.5 is a decimal number that represents one-half or 1/2. It falls between the integers 0 and 1. Decimals have fractional parts, typically expressed as a decimal point followed by digits. In this case, the decimal point separates the whole number (0) from the fractional part (0.5)....

In Roman numerals, “M” represents the number 1,000. It is the largest single numeral in the Roman numeral system. When you see “M” in a Roman numeral, it indicates one thousand of a particular value....