A question about notation:

  • #1
117
7
Hello all,

I have a very quick quesion:
(This is not a HW question, its simply a notation question)

I need to show for [itex]f,g \in K[x] [/itex] (where K is a field and K[x] is the set of polynomials) that
[itex] deg(fg)=deg(f)+deg(g) [/itex] and [itex]deg(f+g) \leq max\left \{ deg(f),deg(g) \right \} [/itex]

My question is: what does [itex]max\left \{ deg(f),deg(g) \right \} [/itex] mean? I know what deg(f) means, im wondering about the bracket notation i.e what does [itex]max\left \{ a,b \right \} [/itex] mean?

Thanks!
 

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
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Hello all,

I have a very quick quesion:
(This is not a HW question, its simply a notation question)

I need to show for [itex]f,g \in K[x] [/itex] (where K is a field and K[x] is the set of polynomials) that
[itex] deg(fg)=deg(f)+deg(g) [/itex] and [itex]deg(f+g) \leq max\left \{ deg(f),deg(g) \right \} [/itex]

My question is: what does [itex]max\left \{ deg(f),deg(g) \right \} [/itex] mean? I know what deg(f) means, im wondering about the bracket notation i.e what does [itex]max\left \{ a,b \right \} [/itex] mean?

Thanks!
It means to select the item within the braces which has the maximum value.
 
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  • #3
117
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Thanks
 

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