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One-to-one Correspondence : Suppose you are given a certain number of cups and saucers, and are asked to find out whether there are enough saucers for all the cups. How would you
Vector Arithmetic In this part we need to have a brief discussion of vector arithmetic. Addition We will begin with addition of two vectors. Thus, given the vectors a
Mathematical Statements Are Unambiguous : Consider any mathematical concept that you're familiar with, say, a sphere. The definition of a sphere is clear and precise. Given any o
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Coal is carried from a rrrine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 36 tons of coal in each ca
Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,
(b) The arity of an operator in propositional logic is the number of propositional variables that it acts on – for example, binary operations (e.g, AND, OR, XOR…) act on two propo
into how many smaller part is each centimeter divided
how do I change this ratio to a fraction
Solve the following pairs of simultaneous equations by elimination method i.2x+y=10 ii. 3x+y=6 3x-2y=1 5x+y=8 solve the following simult
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