Trigonometry: Unlocking the Secrets of Triangles

Introduction to Trigonometry Image by Stephan Kulla – Wikimedia Commons, Wikimedia Commons, Licensed under CC0. Trigonometry is a branch of mathematics that deals with the relationships between angles and sides of triangles. It is a fundamental concept in mathematics and has applications in various fields such as physics, engineering, and navigation. Trigonometry helps us understand…

Matrices Algebra Simplified: Understanding Its Applications and Concepts

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Introduction: Matrices algebra is a branch of mathematics that deals with the study of matrices and their properties. A matrix is a rectangular array of numbers or symbols arranged in rows and columns. Matrices are widely used in various fields such as physics, computer science, economics, and engineering. They provide a convenient way to represent…

Temporary Fix For Crankshaft Position Sensor: 9 Facts

The Crankshaft Position Sensor is a must-have for your engine management system!  It tells you the crankshaft’s exact spot and helps to work out ignition timing, fuel injection timing, and rotational speed. If it’s broken, watch out; it can cause misfires, stalling, engine mismanagement, poor fuel economy, and even engine overheating or failure. Spot any…

Can Normal Distribution Be Skewed: Detailed Facts, Examples And FAQs

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Normal distribution is skewed with zero skewness, so the answer to the most common confusion can normal distribution be skewed is normal distribution is not skewed distribution as the curve of the normal distribution is symmetric without tail whose skewness is zero. The normal distribution curve is bell shaped with symmetry on the curve. Since…

Hermite Polynomial: 9 Complete Quick Facts

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  The Hermite polynomial is widely occurred in applications as an orthogonal function. Hermite polynomial is the series solution of Hermite differential equation. Hermite’s Equation     The differential equation of second order with specific coefficients as d2y/dx2 – 2x dy/dx + 2xy = 0 is known as Hermite’s equation, by solving this differential equation we…

2D Coordinate Geometry: 11 Important Facts

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Locus in 2D Coordinate Geometry Locus is a Latin word. It is derived from the word ‘Place’ or ‘Location’. The Plural of locus is Loci. Definition of Locus: In Geometry, ‘Locus’ is a set of points which satisfy one or more specified conditions of a figure or shape. In modern mathematics, the location or the…

13 Facts On Chebyshev’s Inequality & Central Limit Theorem

In the probability theory the Chebyshev’s Inequality & central limit theorem deal with the situations where we want to find the probability distribution of sum of large numbers of random variables in approximately normal condition, Before looking the limit theorems we see some of the inequalities, which provides the bounds for the probabilities if the…

Point Sections Or Ratio Formulae: 41 Critical Solutions

Basic Examples on the Formulae “Point sections or Ratio” Case-I Problems 21:  Find the coordinates of the point P(x, y) which internally divides the line segment joining the two points (1,1) and (4,1) in the ratio 1:2. Solution:   We already know, If a point P(x, y) divides the line segment AB internally in the ratio…