New answers tagged examples
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Good, simple examples of induction?
Simple proofs (Proofs 1-3)
Bernoulli Inequality
Inequality of AM - GM (There various proof using mathematical induction. You can use standard induction or forward-backward induction.)
Newton's ...
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Good, simple examples of induction?
1)Finitely many lines divide a plane into regions. Show these regions can be coloured by two colours in such a way that neighboring regions have different colours.
2)Showthat there are $2^n%$ number ...
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Surprising examples of Cavalieri's principle
This example here I discovered myself:
Consider a cylinder of radius $r$ and height $h$, circumscribing a paraboloid $y=h\left(\dfrac{x}{r}\right)^2$ whose apex is at the center of the bottom base of ...
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Applications of Triangle Inequality for high-school students?
Here are two examples (one for your one-dimensional question and one in 2D, which is not really what you are asking about)
Consider the following (not really lifelike) situation. There are two shops ...
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Applications of Triangle Inequality for high-school students?
There is the broken stick problem, which asks for the probability that if you break a stick at two points chosen uniformly at random along its length, then the resulting pieces can be used to form a ...
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Applications of Triangle Inequality for high-school students?
At its most basic, the Triangle Inequality says that it is (in general) a shorter trip to go directly from point $A$ to point $B$ than it would be to stop at point $C$ in between. That is, the length ...
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