What Does Defined Mean All functions are well defined but when we define a function we don t always know without doing some work that our definition really does give us a function We say the function or more precisely the specification of the function is well defined if it does
What does well defined mean Ask Question Asked 4 years 4 months ago Modified 4 years 4 months ago In algebra what does Is defined for mean I have a question posted sqrt a b is defined for b leq a
What Does Defined Mean
What Does Defined Mean
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begingroup Other symbols I have seen used for is defined to be equal to are three horizontal lines instead of two and with either a triangle or def written directly above it I have seen variants of these used by people who Saying that 1 divided by 0 is undefined does not mean that you can carry out the division and that the result is some strange entity with the property undefined but simply that dividing 1 by 0 has no defined meaning That is just like when you ask whether the number 1 9 is odd or even That is not defined
Well defined usually means unambiguously defined which is necessary for the definition to be any good For example suppose you re defining multiplication modulo 11 For example suppose you re defining multiplication modulo 11 How does the taste of a burrata made of buffalo milk differ from the taste of a burrata made of cow milk An elementary problem on univariate polynomials Is this plant Bleeding Heart a weed
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When talking about a function we really should always remember to include in our description of the function the Domain the set of all inputs we wish to consider the Codomain the set to which we are mapping which may or may not include all outputs we actually can get and the actual rule we follow to map an input to an output Okay I m trying to answer my own question here This is how a function is defined in Reading Writing and Proving A Closer Look at Mathematics
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All functions are well defined but when we define a function we don t always know without doing some work that our definition really does give us a function We say the function or more precisely the specification of the function is well defined if it does

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What does well defined mean Ask Question Asked 4 years 4 months ago Modified 4 years 4 months ago

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What Does Defined Mean - How does the taste of a burrata made of buffalo milk differ from the taste of a burrata made of cow milk An elementary problem on univariate polynomials Is this plant Bleeding Heart a weed