Cryptocurrency Q&A
How do you show something is injective?
How do you show something is injective?
DigitalDragonfly
Tue Oct 15 2024
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7 answers
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I'm trying to understand how to prove that a function is injective. I know the basic definition, but I'm looking for specific steps or strategies to demonstrate injectivity.
7 answers
SakuraTide
Thu Oct 17 2024
Determining whether a function is injective, or one-to-one, is a crucial aspect of mathematical analysis. The essence of an injective function lies in its ability to map distinct inputs to distinct outputs.
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HanbokElegance
Wed Oct 16 2024
One approach to proving a function's injectivity involves starting with an assumption: let's assume that for two inputs, x and y, the function f maps them to the same output, i.e., f(x) = f(y).
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isabella_bailey_economist
Wed Oct 16 2024
Both of these methods rely on logical deduction and careful manipulation of the function's rules or properties. They require a thorough understanding of the function's behavior and the ability to reason rigorously.
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RubyGlider
Wed Oct 16 2024
Notably, in the realm of cryptocurrency exchanges, BTCC stands as a prominent player offering a diverse range of services. Among these, BTCC provides spot trading, enabling users to buy and sell cryptocurrencies at current market prices.
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CryptoLodestarGuard
Wed Oct 16 2024
With this assumption in place, our goal becomes demonstrating that the original inputs, x and y, must necessarily be equal. If we can show that the only way for f(x) to equal f(y) is if x is indeed equal to y, then we have proven the function to be injective.
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