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Articles on Trending Technologies
Technical articles with clear explanations and examples
Difference Between Dielectric Constant and Permittivity
The study of dielectrics and their behavior in electric fields continue to fascinate physicists and electrical engineers alike. Despite the fact that dielectrics are poor conductors of electricity, they play a fundamental role in electronic circuits, which need a dielectric medium to build the circuit. A basic understanding of dielectrics and their properties is thus required. A dielectric material is nothing but an insulator with a poor conductor of electricity meaning they do not allow current to flow. They are the exact opposite of conductors. Like any other material, a dielectric is an assembly of ions with positive and negative ...
Read MoreDifference Between Natural and Whole numbers
Introduction Difference between natural and whole numbers is natural number is used to count objects ad whole numbers include 0 and natural numbers. Numerous other types of numbers exist, including whole numbers, natural numbers, integers, rational and irrational numbers, real and complex numbers, and integers. Students may find it puzzling more frequently than not, causing them to mix up one with the other. Particularly in the natural numbers and whole numbers, since both of them resemble one another somewhat. Therefore, it is crucial that the students comprehend both whole numbers and natural numbers in detail. In this tutorial, we ...
Read MoreVariable Definition
Introduction A variable is used to represent an unknown value in an equation. In algebra, we can use the four basic operations addition (+), subtraction (-), multiplication (×), and division (÷) same as arithmetic. In algebra, terms are mathematical expressions that are made of two different parts: the number part and the variable part. In a term, the number part and variable part are multiplied together and written without a multiplication symbol. Terms can have any number of variables Expressions An expression consisting of one or more terms in which variables may have anything as power, including positive, negative, ...
Read MoreAlgebraic Operations on Complex Numbers
Introduction Algebraic operations on complex numbers are given by arithmetic operations are addition, subtraction, multiplication, and division. 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. Numerous scientific research, including those involving signal processing, electromagnetism, fluid physics, quantum mechanics, and vibration analysis, have made use of complex numbers. In this tutorial, we will discuss algebraic operations on complex numbers. Complex Numbers Real and imaginary numbers are ...
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 MoreArea of Similar Triangles
Introduction Area of similar triangles theorem help in establishing the relationship between the areas of two similar triangles. Geometric figures having the same shape and size are known as congruent figures. Eg: Any two circles with the same radii are congruent. Any two rectangles with the same length and breadth are congruent. But, geometric figures having the same shape but different sizes are known as similar figures. The congruent figures are always similar, but two similar figures need not be congruent. Eg: Any two circles are similar. Any two rectangles are similar. Similarity of triangles is represented ...
Read MoreArea under the Curve – Calculus
Introduction The area under a curve between two points is found out by doing a definite integral between the two points. Among the various ways to calculate the area under the curve, the most popular method is the antiderivative method. By determining the equation for the curve, the boundaries of the curve, and the axis enclosing the curve the area under the curve can be calculated. There are formulas to find the area enclosed by a circle, square, rectangle, and other polygons, but the area under the curve can be used to find area for the shapes that do ...
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