Introduction A triangle has three sides, and three angles these two are the important parameters in constructing a triangle. It is done using a few geometrical equipment like a protractor (to measure an angle), compass (to draw the arc for a given measured side), and ruler (to measure the side length). There are different types of triangles, and they can be constructed differently by knowing a few given sets of parameters. In this tutorial let’s see three of the cases. Construction of Triangles In general, the construction of triangles is easy when the following properties like SSS, SAS, ... Read More

Introduction When a solid surface like a cone is cut by a plane it forms different sections called conic sections. There are different conic sections like a circle, ellipse, parabola, and hyperbola based on the angle at which the plane intersects with the cone axis. Circle and ellipse are closed sections whereas parabola and hyperbola are not closed the curves of these figures extend till infinity. Definition of Section of Cone When a two-dimensional plane intersects a three-dimensional right circular cone the crop section formed on the plane is called a conic section. The plane intersects the ... Read More

Introduction Mathematical reasoning, a crucial skill that enables pupils to examine a given hypothesis without reference to a specific context or meaning, includes conditional statements. The reasoning is not based on an individual's opinion when a scientific investigation or assertion is investigated, to put it simply. The basis for deductions and proofs must be factual and scientific. To answer issues involving mathematical reasoning, one needs to possess critical thinking and logical reasoning abilities in mathematics. We will delve into the world of conditional statements in this quick session. Along with solved examples and interactive questions, we will go over ... Read More

Introduction Complex numbers make it simpler to find the square root of negative values. The concept of complex numbers was first presented when Hero of Alexandria, a Greek mathematician, attempted to compute the square root of a negative number in the first century. However, he made the integers' negative values positive and got their root values. Additionally, the identity of complex numbers was established when the third- and second-order polynomials' negative roots were discovered by the Italian mathematician Gerolamo Cardano in the sixteenth century. Numerous scientific research, including those involving signal processing, electromagnetism, fluid physics, quantum mechanics, and vibration ... Read More

Introduction The average value of a set of data points, observations, or values is known as the Mean of the data. It is the measure of the central tendency. Mathematically, the mean is obtained by dividing the sum of values by the number of values or observations. It is also called the expected value. The mean itself is not restricted to this simple form but has different types such as the arithmetic mean, geometric mean, harmonic mean, and weighted average. It is given mathematically as, $$\mathrm{Mean=\frac{\sum x}{N}}$$ where, x = set of observations N = number of observations Different ... Read More

Differential and derivative are two fundamental concepts in calculus that are often used interchangeably. While they are related, they are not the same thing. Understanding the difference between differential and derivative is important in mastering calculus and its applications. In this guide, we will explore the difference between differential and derivative and their uses in calculus. What are Differentials? Differential is one of the fundamentals divisions of calculus, along with integral calculus. It is a subfield of calculus that deals with infinitesimal change in some varying quantity. The world we live in is full of interrelated quantities that change periodically. ... Read More

While attempting to understand an interdisciplinary field, for example, ML, the principal question is how much maths is vital and the degree of maths is expected to grasp these strategies. ML is about maths, which thus assists in calculating that with canning gain from data to make an exact forecast. The forecast could be as straightforward as grouping canines or felines from a given arrangement of pictures or what items to prescribe to a client in light of past buys. Thus, it is vital to understand the maths ideas driving any focal ML calculation appropriately. Along these lines, it assists ... Read More

In mathematics, functions play a vital role in describing and modeling various phenomena. A function is a rule that assigns a unique output value to each input value. The set of input values is called the domain, and the set of output values is called the range. However, in some cases, the range is not the same as the codomain, which can lead to confusion. In this essay, we will explore the difference between codomain and range. Codomain of a Function The “codomain” of a function or relation is a set of values that might possibly come out of it. ... Read More

In geometry, a quadrilateral is a polygon with four sides, while a parallelogram is a special type of quadrilateral with some specific properties that differentiate it from other quadrilaterals. What is Parallelogram? A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. In other words, the opposite sides of a parallelogram are parallel and congruent, meaning they have the same length. Parallelograms also have opposite angles that are congruent, meaning they have the same measure. Properties of Parallelogram One of the most important properties of a parallelogram is that the opposite sides are parallel. This ... Read More

Exponential growth and exponential decay are two fundamental concepts in mathematics and science that describe how a quantity changes over time. Both exponential growth and decay follow a mathematical model that is characterized by a constant rate of change, but they are fundamentally different in terms of how the quantity changes over time. What is Exponential Growth? Exponential growth refers to a situation where the quantity of interest increases at an exponential rate over time. This means that the rate of increase of the quantity is proportional to the current value of the quantity. In other words, the more the ... Read More