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....

Diode is a two-terminal electronic component that conducts electricity in one direction. It has high resistance on one end and low resistance on the other end. Diodes are widely used in modern-day circuits to secure circuits from over-voltage....

Compound interest is widely used in various financial products and investments, such as savings accounts, bonds, loans, mortgages, and investment portfolios. Understanding compound interest is crucial for making informed financial decisions and planning for the future....

In geometry, a tangent is a straight line that touches a curve at a single point. Tangents have many applications in everyday life, from architecture to engineering to physics. We say that a tangent is a line that touches the curve at an external point....

Geometric Progression is a sequence of numbers whereby each term following the first can be derived by multiplying the preceding term by a fixed, non-zero number called the common ratio. For example, the series 2, 4, 8, 16, 32 is a geometric progression with a common ratio of 2. It may appear to be a purely academic concept, but it is widely used in our day-to-day life. From calculating compound interest to estimating the number of bacteria in a culture, geometric progression is applied. We will discuss these applications of geometric progression in detail in this article....

Numbers and equations might seem far from the environment which is a complex mix of ecosystems, weather and resources. But behind the surface, Mathematics is a powerful language that connects everything. Math acts like an invisible architect helping us understand and protect the natural environment from tracking climate change to improving conservation efforts....

Polynomials are mathematical expressions combining numbers and variables with powers. Polynomials are important in everyday things like computer graphics and engineering, including bridge design. Polynomials are foundational in various scientific and engineering disciplines, enabling the development of advanced technologies and structures that shape our modern world....

Charles’ Law is a fundamental principle in chemistry related to the behavior of gases. It states that the volume of a gas is directly proportional to its temperature when pressure is held constant. This Law finds numerous applications in various fields, particularly in the study of gas behavior and the design of practical devices. This Law is fundamental in developing technologies like gas thermometers, air conditioning systems, and various industrial processes where precise temperature control is essential....

Heat engines are those engines that convert thermal energy into mechanical work and enhance many aspects of modern life. Heat engines works on the principle of thermodynamics. Heat engines are used in power plants, cars, trains etc. In this article, we will learn in detail about the different functions of heat engine in real life....

The word “geometry” itself comes from two Greek words meaning “earth” and “measurement.” In this article, we’re going to talk about how 3-D geometry is used in our daily lives. If you look around, you’ll see geometry everywhere!...

Physics in aeronautics studies how scientific principles govern flight dynamics, propulsion, aerodynamics, navigation, and aircraft design. This article explores how physics principles shape every aspect of aeronautics, from aircraft design to safety systems and weather forecasting....