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Technical articles with clear explanations and examples
Paired T-Test
Introduction The paired t-test in statistics is a tool that compares the data between two groups of samples and determines whether the mean difference between given measurements is zero or not. In statistics, two-sample t-tests are tools used to compare the means of two datasets. These tests are also known as Student’s t-tests, The results from the tests are used to evaluate the difference between the mean of two samples. The difference is not likely to be due to sampling error or by chance. Paired t-test is used to compare means of two datasets where we are made available with ...
Read MoreApplication Of Linear Graphs
Introduction The applications of linear graphs are widely seen in day-to-day life. Graphs in the form of a straight line Ax+By+C=0 are called Linear graphs. In the standard form of line equation, A and B are coefficients, x and y are variables and C are a constant. In simple terms, a linear graph is a representation of the relationship between two or more variables. By plotting the variables of the equation or say the points x, y, z, etc., on a graph we get a straight line. The applications of linear graphs are widely seen in analysing and ...
Read MoreApplications of Decimal in Daily Life
Introduction Applications of decimals in daily life are in the field of science , engineering, commerce and finance. A Decimal system is a numeral system containing integer numbers and non-integer numbers. The application of the decimal system is widely used in our day-to-day life. Decimal system provides values more accurately than the whole numbers. A Scottish Mathematician John Napier was the first one to introduce the decimal system. Denoting numbers in a decimal system is called Decimal notation.Sometimes the amount of money we get as income from various sources, the electricity bill, weight and height of both living ...
Read MoreDifference between Cube and Cuboid
Introduction The difference between a cube and a cuboid is that a cube has six identically sized square faces while a cuboid has rectangular faces . Only the cuboid and the cube are two such solids that have certain shared qualities, such as each having six faces, eight vertices, and twelve edges. There are numerous shapes in geometry, such as cylinders, spheres, and cones, that have distinct properties. Additionally, all inside angles are 90 degrees. In this tutorial, we will discuss the difference between Cube and a Cuboid. Polyhedrons Polyhedrons are 3D shapes with straight edges, flat faces, straight edges, ...
Read MoreDistance Formula
Introduction Distance formula used to find the distance measure between two lines . In an XY-plane or Cartesian plane, the length of a line joining any two coordinates on the plane can be determined by subtracting them. The coordinates are different depending on their position on the XY plane. To find the distance between the two points $\mathrm{P(x_{1}\, \:y_{1})\:\&\:Q(x_{2}\, \:y_{2})}$ on the coordinate axis we apply the distance formula. To find the perimeter or the length of the sides of any two-dimensional geometric figures we use the distance formula. The distance formula has a wide range of real-life applications such ...
Read MoreBranches of Mathematics
Introduction Branches of mathematics are Algebra, geometry, arithmetic, number theory, etc. Over time, the scope of mathematics has expanded. There are two types of mathematics: pure mathematics and applied mathematics. The mathematics that can be used to solve real- world problems is known as applied mathematics. Mathematics has evolved over time into a vast and diverse subject. Mathematical advancements continue to make significant contributions. Algebra, Geometry, Arithmetic, Trigonometry, Calculus, and other branches of mathematics exist. In this tutorial, we will discuss branches of mathematics. Mathematics Maths is the science of quantity, pattern, order, structure, and relation, which has evolved over ...
Read MoreArea of Ellipse
Introduction Area of an ellipse is the area or region covered by the ellipse in two dimensions. An ellipse appears to be a regular oval shape, formed when a cone is snipped off by an oblique plane in such a way that a closed curve that does not bisect the base is produced. An ellipse is the locus of all the points in a plane whose distances from two fixed points in the plane are constant. The fixed points, which are surrounded by the curve, are known as foci (singular focus). The constant ratio is the eccentricity of the ellipse ...
Read MoreArea of Isosceles Triangle
Introduction The isosceles triangle area is the amount of surface or space enclosed between the isosceles triangle's sides. The quantity of space encircled by an isosceles triangle in a two-dimensional space is known as its area. Half of the product of the triangle's base and height is the usual formula for calculating its area. Here, to help you better comprehend this subject, a thorough explanation of the isosceles triangle area, its formula, and derivation is provided along with a few solved example problems. Isosceles triangle is one of the types of the triangle based on lengths of the sides. ...
Read MoreArea of Hemisphere
Introduction The area of a hemisphere is of two types: The curved surface area of a hemisphere = 2𝜋r2 square units. The total surface area of a hemisphere = 3𝜋r2square units. Two-dimensional geometry is concerned with the x-y plane in mathematics. Three-dimensional geometry is an extension of two-dimensional geometry that deals with three axes in the Cartesian plane, namely x, y, and z. 3D shapes have three dimensions: length, breadth, and height. In most cases, three-dimensional objects are created by rotating two-dimensional objects. Our planet's spherical shape is one of the best examples of 3D shapes. The sphere is formed ...
Read MoreDifference between Permittivity and Permeability
There are two physical quantities namely Permittivity and Permeability that play a vital role in the field electrical engineering. Permittivity is related to electrostatics and it is the measure of electrical polarization of a dielectric material when it is placed in an external electric field. Permeability is related to electromagnetism and it is the measure of magnetic polarization of a magnetic material when it is placed in an external magnetic field. In this article, we will highlight all the key differences between permittivity and permeability by considering different parameters like basic definition, unit, formula, importance, etc. Let's start ...
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