direct proof


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Proof
Let case I - when Gaussian surface is spherical in shape, a positive charge q be placed at the centre of an imaginary spherical surface of radius R as shown in the figure. By symmetry, the field due to the charge +q is radial and E is perpendicular to the sphere and is directed along the ..
Proof of Matter From Brownian Motion
Evidence for Particulate Nature of Matter From Brownian Motion - When we look at a glass of still water on the table, it seems incredible that millions of molecules are moving about restlessly inside it. A British botanist called Robert Brown, however, discovered evidence of this movement over 200 ..
Introduction
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical ..
Mathematical Induction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathe..
Mathematical Induction Introduction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathe..
Geometry And Measurement
Definitions, postulates, reasoning, theorems Euclidean/non-Euclidean geometries Coordinate, transformational, axiomatic systems Conditional statements Properties of geometric figures Inductive/deductive reasoning Tessellations Pythagorean Theorem Coordinate systems Measurements of geome..
Question 4
Question: In the following diagrams parallel lines are marked by arrows in the same direction. Transversal is also drawn. Find the missing angles and provide the reason for each. Note: (No proof is required but the essential steps of working must be given) Answer: (..
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