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Cuboid
Introduction A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is an 8 vertices, 12 edges, and 6 rectangular faces convex polyhedron. A cuboid is also known as a rectangular prism. An example of a cuboid in the real world is a rectangular box. What is cuboid? Imagine a shape that results from stacking numerous congruent rectangles on top of one another. The resultant shape is known as a cuboid. Dimensions of a Cuboid In order to describe the length, width (breadth), or height of an edge of a cuboid shape, it should be ...
Read MoreDiagonal Matrices
Introduction A diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. Matrices are used in practical life events like military parades, school parades, and planting. The concept of matrix and determinant is recorded as having appeared in the fourth century B.C, although its use is thought to have begun only in the second century BC. Then, towards the end of the seventeenth century, the concept of matrix and determinants came back into use. Mathematical models of everyday world problems are formed as sets of linear equations. Matrices are essential and inevitable to solve ...
Read MorePaired T-Test
Introduction The paired t-test in statistics is a tool that compares the data between two groups of samples and determines whether the mean difference between given measurements is zero or not. In statistics, two-sample t-tests are tools used to compare the means of two datasets. These tests are also known as Student’s t-tests, The results from the tests are used to evaluate the difference between the mean of two samples. The difference is not likely to be due to sampling error or by chance. Paired t-test is used to compare means of two datasets where we are made available with ...
Read MoreApplications of Decimal in Daily Life
Introduction Applications of decimals in daily life are in the field of science , engineering, commerce and finance. A Decimal system is a numeral system containing integer numbers and non-integer numbers. The application of the decimal system is widely used in our day-to-day life. Decimal system provides values more accurately than the whole numbers. A Scottish Mathematician John Napier was the first one to introduce the decimal system. Denoting numbers in a decimal system is called Decimal notation.Sometimes the amount of money we get as income from various sources, the electricity bill, weight and height of both living ...
Read MoreBranches of Mathematics
Introduction Branches of mathematics are Algebra, geometry, arithmetic, number theory, etc. Over time, the scope of mathematics has expanded. There are two types of mathematics: pure mathematics and applied mathematics. The mathematics that can be used to solve real- world problems is known as applied mathematics. Mathematics has evolved over time into a vast and diverse subject. Mathematical advancements continue to make significant contributions. Algebra, Geometry, Arithmetic, Trigonometry, Calculus, and other branches of mathematics exist. In this tutorial, we will discuss branches of mathematics. Mathematics Maths is the science of quantity, pattern, order, structure, and relation, which has evolved over ...
Read MoreApplication of Integrals
Introduction Application of Integrals is applied in various fields like Mathematics, Science, Engineering etc. The application of integrals is widely seen in both mathematics and physics for various purposes. If integration is applied for an area under a curve or area between two curves it is called the geometrical application of integrals which also includes finding the volume of solid revolution, length of the curve, etc., If the integration is applied to find the centre of gravity, mass, momentum, displacement, the velocity of objects, etc., then it is called the physical application of integrals. In this ...
Read MoreTaylor Series
Introduction Taylor series or Taylor expansion of a function is a finite sum of terms that are expressed in terms of the functions derivatives at a single point The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it. $$\mathrm{f(a)\:+\:\frac{f'(a)}{1!}(x\:-\:a)\:+\:\frac{f"(a)}{2!}(x\:-\:a)^{2}\:+\:\frac{f'''(a)}{3!}(x\:-\:a)^{3}\:+\:.......}$$ For a real value function f(x), where f'(a), f"(a), f"'(a), etc., stands for the derivative of the function at point a, the aforementioned Taylor series expansion is provided. The Taylor series is also known as ...
Read MoreCensus
Introduction The census is a process of methodically calculating, gathering, and recording data on a certain population. It is mostly utilized while gathering information on the country's population, housing censuses, and agricultural, business, and supply needs. In this tutorial, we will discuss census, categorical variables, and numerical data. Definition A census is, by definition, the process of carefully computing, compiling, and documenting information on a certain population. It is primarily used to gather data on the population, housing, agricultural, commercial, and supply demands of the nation. This information provided comprehensive details about the occupation, age factors, socioeconomic features, population ...
Read MoreAverage Value & Calculation
Introduction Average is a single value that represents the complete group of values. Example: Average mark scored in a class is 80 %, average height in a country, average life span, average temperature in a particular area, etc. Average is classified into two groups majorly: They are mathematical average or mean and positional average. To find the positional average we can use median and mode. Average An average is the central value of the given set of values. Also, on average, the numerator is the sum of all given values, and the denominator is the total number of ...
Read MoreAverage cost
Introduction Average cost is the cost per unit manufactured in a production run. Economics is a branch of social science which studies the production, distribution & consumption of goods & services. It focuses on the behaviour & interacting economic agents & how the economy works. Cost is one of the important concepts in economics. Cost is an amount incurred for buying goods & services. The concept of cost is useful for calculating the profitable rate of operation of the firm. Also, it is useful for deciding the price of the product & sale channel. Also, it gives clarity to various ...
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