Author: magicforstudio
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Network Marketing Basics
Network marketing, also known as multi-level marketing (MLM), is a business model where individuals sell products or services directly to consumers while recruiting others to join as salespeople. , form a network or “downline”. In MLM, participants earn income through their own sales and a percentage of the sales they recruit. Here’s a breakdown of…
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Fractional Calculus
Fractional calculus is a generalization and extension of classical calculus. The development of calculus is usually attributed to Gottfried Leibnitz and Isaac Newton, although the two men had a bitter lifelong dispute over which of them developed calculus. Leibniz published his first work on calculus in 1684. Newton used calculus in his Principia, published in…
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Calculating speed & slope
The problem of finding tangents to curves was closely related to an important problem that arose from the Italian scientist Galileo Galilei’s investigation of motion, that of finding the velocity at any instant of a particle moving according to a law. Galileo established that in t seconds a freely falling body falls a distance gt2/2,…
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Calculating Curves and Areas Under Curves
Calculus has its roots in some of the oldest problems in geometry. The Egyptian Rind Papyrus (c. 1650 BCE) gives rules for finding the area of a circle and the volume of an inscribed pyramid. Ancient Greek geometers explored curves, the center of gravity of planes and solid figures, and the quantities of objects formed…
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Calculus
Calculus, the branch of mathematics concerned with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus). Two mathematicians, Isaac Newton of England and Gottfried Wilhelm Leibniz of Germany, are credited with independently developing calculus in the 17th century. Calculus is now…
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Finding the right angle
Ancient architects and surveyors needed to be able to make right angles in the field as needed. The method used by the Egyptians earned them the name “rope pullers” in Greece, apparently because they used ropes to organize their construction instructions. One way they could use rope to form right triangles was to mark a…
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History of Geometry
The earliest known unambiguous examples of written records from Egypt and Mesopotamia, dating from about 3100 BCE, show that the ancients already had mathematical principles useful for surveying land areas, constructing buildings, and measuring storage vessels. And had started devising techniques. As early as the sixth century BCE, the Greeks gathered and expanded this practical…
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Major branches of geometry
Euclidean geometryA number of ancient cultures developed a form of geometry that suited the relationship between length, area, and volume of physical objects. This geometry was codified in Euclid’s Elements around 300 BC based on 10 axioms, or postulates, from which several hundred theorems were proved by deductive logic. Elements epitomized the axial shear mechanism…
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Geometry
Geometry, the branch of mathematics concerned with the shape of individual objects, the spatial relationships between different objects, and the properties of surrounding space. It is one of the oldest branches of mathematics, arising in response to practical problems encountered in surveying, and derives its name from Greek words meaning “land measurement”. Eventually it was…
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Acceptance of Galois Theory
Galois’ work was the end of one main line of algebra—solving equations by radical methods—and the beginning of a new line—the study of abstract structures. The work on the sequence started by Lagrange and Ruffini received further inspiration in 1815 from the famous French mathematician Augustin-Louis Cauchy. In work after 1844, Cauchy systematized much of…