Author: shaikat011235

  • Quadratic Equation

    Quadratic Equation The general form of the quadratic equation is     It’s general solution is:     Where , and are constant and . This equation, its solutions, and its graph are fundamental in various fields of science, engineering, and finance. It serves as a foundational topic in algebra and calculus courses around the…

  • convex set

    To discuss about the convexity of set first we discuss about line segment. What is Line Segment? Let any two points and in . The set , is called the line segment joining the points and . The points and are called end points of this segment and for each , where the points is…

  • Fundamental theory of divisibility

    Quotient and Remainder Problem of Integers The sum, difference and product of two integers are obviously integers but the quotient of two integers may or may not be an integer. For this reason, We say that – An integer is divisible by an integer , if there is an integer such that . We denote…

  • When Human being first learnt about Mathematics?

    It is a very naive question that – When did mathematics begin? The question should be like that – “when human being recognized these types of study like study of quality, structure/shape’s characteristic, space and any types of changes as Mathematics. The mathematician Paul Erdos called mathematics – “the science that draws necessary conclusions”. Though…

  • Verhulst Logistic Model in Modern Biology

    Let be the the population of a given species at time . The variation of population is the rate of change of is proportional to the current value of that is     Where is the proportionality constant, called the rate of growth and decline depending on whether it is positive or negative. Let ,…