My browser (IE 8) shows empty boxes for six of the symbols above.powerovergame said:Homework Statement
Show for any metric space (S,d) and e> 0 that N(e, S) <= D(e, S) <= N(e/2, S)
powerovergame said:Homework Equations
none
The Attempt at a Solution
Can somebody please tell me what does N(e,S) or D(e,S) even mean so I can at least know what I am asked to prove?
I dig through all the notes, and online sources and could not find anything operation that involves a metric space with a real number.
Thanks!
flyingpig said:Mark...don't use Internet Explorer. This is 2011, use Mozilla FireFox.
phinds said:FireFox is pure crap for a lot of operations, so some of us shun it. For the casual user it seems OK but if you are a software developer, it is useless.
Mark44 said:My browser (IE 8) shows empty boxes for six of the symbols above.
Do you have a textbook? If so, it should define any notation like this that is used. N(. , .) could mean "neighborhood", but the notation used in the text I studied for my Topology class uses N(p, ε) to mean the ε-neighborhood of a point p in set S.
If there was time I would't be here. Oh well... it's life. It's funny how the instructor just put it there as if it a commonly used notationMark44 said:Unless someone else here can decipher this, you should ask your instructor what the notation means.
Symbols here <==> Symbols in the link [p]flyingpig said:What was the symbol? Was it X?
This is a very broad question and it depends on what symbol is being referred to. Symbols can have different meanings depending on the context in which they are used. It is important to provide more information or context in order to accurately determine the meaning of a symbol.
Interpreting a symbol also depends on the context in which it is used. Some symbols may have multiple meanings or interpretations, so it is important to consider the context and any accompanying information to determine the intended meaning.
While there are certain symbols that have universal meanings (such as mathematical symbols), many symbols can have different meanings or interpretations across cultures and languages. It is important to consider the cultural and historical context of a symbol when trying to determine its meaning.
Yes, symbols can have different meanings in different contexts. For example, a heart symbol can represent love or affection in one context, but it can also represent the shape of a human heart in a medical context. Again, it is important to consider the context in order to accurately interpret a symbol.
When researching the meaning of a symbol, it is important to consider the context, culture, and historical significance of the symbol. Consulting reliable sources, such as dictionaries or encyclopedias, can also provide helpful information. Additionally, reaching out to experts in the field or individuals from the culture associated with the symbol can provide valuable insights.