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Mathematics Articles
Page 19 of 21
Random Sampling
Introduction Sampling techniques refer to the different sampling techniques used to collect different types of samples in statistics. If you need to make statistical inferences about a population, it is almost impossible to collect data from all the units that belong to that group. In these situations, various sampling methods can help you select the correct sample from this population for analysis. In this tutorial, we will discuss random sampling, its type, formulas, and examples. Random sampling Definition Random sampling can be considered as a case of probability sampling. where each and every unit from the population into the ...
Read MoreRemainder
Introduction Division is the basic arithmetical operation in mathematics. It is the process of distributing things into equal parts. When the dividend is not completely divisible by the divisor it left a number or the value is known as the remainder. In mathematics, in numerous instances, the leftover part or value is known as residues. Sometimes in many calculations residues are neglected or round off to obtain the answer in the whole number. For example, in the decimal number 5.04, the number after the decimal is 4. It represents remainder or residue. Sometimes to give only a whole number answer, ...
Read MoreSampling Error
Introduction In any business or research activity, a large number of data is produced, which becomes difficult to analyse. In this direction, a statistical process, sampling, is useful to analyse the entire population. However, in doing so, some error arises due to various reasons. For accurate data analysis, one must know about sampling and the various types of error associated with it. In this tutorial, we will discuss sampling, sampling errors, a basic formula, properties, and ways to minimize sampling error with solved examples. Sampling In statistics, sampling is defined as the process of selection of specific data from a ...
Read MoreComplex Numbers
Introduction 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. However, he made the integers' negative values positive and got their root values. Additionally, the identity of complex numbers was established when the third- and second-order polynomials' negative roots were discovered by the Italian mathematician Gerolamo Cardano in the sixteenth century. Numerous scientific research, including those involving signal processing, electromagnetism, fluid physics, quantum mechanics, and vibration ...
Read MoreConditional Statement
Introduction Mathematical reasoning, a crucial skill that enables pupils to examine a given hypothesis without reference to a specific context or meaning, includes conditional statements. The reasoning is not based on an individual's opinion when a scientific investigation or assertion is investigated, to put it simply. The basis for deductions and proofs must be factual and scientific. To answer issues involving mathematical reasoning, one needs to possess critical thinking and logical reasoning abilities in mathematics. We will delve into the world of conditional statements in this quick session. Along with solved examples and interactive questions, we will go over ...
Read MoreConic Sections
Introduction When a solid surface like a cone is cut by a plane it forms different sections called conic sections. There are different conic sections like a circle, ellipse, parabola, and hyperbola based on the angle at which the plane intersects with the cone axis. Circle and ellipse are closed sections whereas parabola and hyperbola are not closed the curves of these figures extend till infinity. Definition of Section of Cone When a two-dimensional plane intersects a three-dimensional right circular cone the crop section formed on the plane is called a conic section. The plane intersects the ...
Read MoreConstructions : Triangle
Introduction A triangle has three sides, and three angles these two are the important parameters in constructing a triangle. It is done using a few geometrical equipment like a protractor (to measure an angle), compass (to draw the arc for a given measured side), and ruler (to measure the side length). There are different types of triangles, and they can be constructed differently by knowing a few given sets of parameters. In this tutorial let’s see three of the cases. Construction of Triangles In general, the construction of triangles is easy when the following properties like SSS, SAS, ...
Read MoreCoordinate Geometry- class 9
Introduction The study of geometric figures using coordinate axes is known as coordinate geometry. Figures like circles, ellipses, polygons, and straight lines can be drawn and scaled on the coordinate axes with ease. Additionally, coordinate geometry facilitates algebraic operations and the study of the properties of geometric figures. Every location on this globe has coordinates that make it simple for us to find them on a map. Our planet's coordinate system is made up of fictitious lines known as latitudes and longitudes. We have the coordinate axes with the horizontal x-axis and the vertical y- axis, which are similar ...
Read MoreOne’s Complement
Binary Number System is one the type of most popular Number Representation techniques that used in digital systems. In the Binary System, there are only two symbols or possible digit values, i.e., 0 (off) and 1 (on). Represented by any device that only 2 operating states or possible conditions.Generally, there are two types of complement of Binary number: 1’s complement and 2’s complement. To get 1’s complement of a binary number, simply invert the given number. For example, 1’s complement of binary number 110010 is 001101. To get 2’s complement of binary number is 1’s complement of given number plus ...
Read MoreFixed Point and Floating Point Number Representations
Digital Computers use Binary number system to represent all types of information inside the computers. Alphanumeric characters are represented using binary bits (i.e., 0 and 1). Digital representations are easier to design, storage is easy, accuracy and precision are greater.There are various types of number representation techniques for digital number representation, for example: Binary number system, octal number system, decimal number system, and hexadecimal number system etc. But Binary number system is most relevant and popular for representing numbers in digital computer system.Storing Real NumberThese are structures as following below −There are two major approaches to store real numbers (i.e., ...
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