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Introduction Binomial Theorem for Positive Integral Indices states that “the total number of terms in the expansion is one more than the index”. The nth row of this array gives the coefficients in the expansion of $\mathrm{(a\:+\:b)^{n}}$ in descending powers of a and ascending powers of b; this array is known as the Pascal’s triangle after French mathematician Blaise Pascal (1623-1662). The triangle is, in fact, much older; it appeared as early as in 1303 in the works of the Chinese mathematician Chu Shin-Chien. Indeed, this was described by Indian mathematician Halayudha in 10th century A.D. as Meru Prastara, 700 ... Read More
Introduction The bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs . There are different ways to find the roots of different equations(like simple, quadratic) and functions. Bisection method is the way to find the roots of a function which is polynomial in nature. This method is quite interesting. We first select an interval or range where the roots may lie, then we bisect and go on dividing the interval into a number of sub intervals until we finally reach the root. The main idea of this method ... Read More
Introduction Box and whisker plots can be used to display and analyze data . More detailed details in various distributions or datasets are sometimes required, which measures of any central tendency such as mean, median, and mode may not meet. The variability or dispersion of data necessitates a much more concrete foundation. A box and whiskers plot can meet this demand. A box and whisker plot is a method of abstracting a set of data that is estimated using an interval scale. It is also known as a box plot. These are mostly used to interpret data. It is a ... Read More
Introduction Coincident lines are the lines that are on top of each other. The term "coincide" refers to something happening at the same time. In mathematics, coincident lines are lines that lie on top of each other so that when we look at them, they appear to be a single line rather than double or multiple lines. Parallel lines are lines that are parallel to each other and have a predetermined distance between them. Perpendicular lines, on the other hand, are lines that intersect at a 90- degree angle. However, parallel and perpendicular lines do not coincide. In this tutorial, ... Read More
What are Outliers? Outliers are the data points or observations which are far from the other points in a dataset. Outliers are caused due to measurement error, data entry error or experimental error etc. Outliers can skew the dataset which effects in statistical analysis and can increase the standard deviation of the dataset further effecting model prediction. An outlier may be a valid data point or can be noise. For a better understanding let us look at an example scenario. Imagine you are collecting data of student's height (age between 9 to 12 years). Most of the students are around ... Read More
What is a Higher Order Function in JavaScript? JavaScript being a multi paradigm language, it supports procedural programming, functional programming and object oriented programming. Since it is also a functional programming language javascript handles functions as a first class entities, where functions can be assigned to a variable, set it as an object's property, and can pass them as an argument to another function. This characteristic in javascript helps in implementing Higher Order Functions, which can operate on other functions either by taking them as an argument or by returning them. Let us take an example and implement it ... Read More
Introduction Data handling and data representation are the processes of collecting and presentation of data systematically. Data handling is the act of collecting a set of data and presenting it in various formats data handling. The act of collecting, maintaining, and presenting data in a way that facilitates analysis, forecasting, and decision-making is known as data handling. Here in this tutorial, we shall discuss in brief data handling, central tendencies, frequency tables, how to represent data in graphs, and examples related to data handling. What is Data Handling? The initial collection of observations is referred to as the raw data. ... Read More
Monocrystalline solar panels are one of the most popular types of solar panel available in the market and is used for generating electricity from sunlight. The primary reason behind its popularity is its relatively high efficiency in all weather conditions. Although it is a relatively expensive solar panel than other types of solar panels. In this article, I will explain all the important concepts of the monocrystalline solar panel, such as its construction, advantages, disadvantages, and applications. So, let’s start with the basic introduction of the monocrystalline solar cell which is its fundamental building block. What is a ... Read More
The increasing demand of electricity cannot be met through conventional ways of generating electricity. To fulfil the electricity demand, several new methods have been developed. Solar panels are one of the most common of them. A solar panel is a semiconductor device that can convert sunlight into electricity. This light to electricity conversion is based on the principle of photovoltaic effect. Thus, solar panels are also known as photovoltaic systems. In a solar panel, there are multiple PV or solar cells used that absorb the sunlight and produce electricity. This electricity is stored in rechargeable batteries and supplied as per ... Read More
Solar energy is becoming one of the most popular methods of generating electricity. It is because the solar energy is clean and does not cause any environment pollution like green-house effect, air pollution, etc. Also, it is renewable, as it will deplete over time. The solar energy is freely available from the sun light and we can develop certain kind of mechanisms like solar panels to utilize the solar energy. A solar panel is an opto-electric device that is used for converting energy from sun light into electricity. Based on the technology used in manufacturing the solar panels, there are ... Read More