Special script for 'm' in Bland Proposition 2.2.11

MHB
Thread starter Math Amateur
Start date Nov 21, 2014

In summary, the special script for 'm' in Bland Proposition 2.2.11 is used to represent the number of elements in a set being considered in a mathematical proof. It is a stylized version of the regular 'm' and is used in mathematical notation to differentiate it from other variables. It is unique to representing the cardinality of a set and is used in Bland Proposition 2.2.11 because this proposition deals with sets and their cardinality. It is not used in all mathematical proofs, as different symbols or notations may be used for specific variables.

Nov 21, 2014

Math Amateur

Gold Member

MHB

In Paul E. Bland's book, "Rings and Their Modules" in Proposition 2.2.11, Bland uses a special script for m - see the proof of the Proposition below.

Can someone please help me with the correct latex code for the script?

PeterView attachment 3590

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Nov 21, 2014

Fallen Angel

Hi Peter

Did you mean \(\displaystyle \mathfrak{m}\)?

It's

Code:

\mathfrak{m}.

FAQ: Special script for 'm' in Bland Proposition 2.2.11

What is the purpose of the special script for 'm' in Bland Proposition 2.2.11?

The special script for 'm' in Bland Proposition 2.2.11 is used to represent the number of elements in a set that is being considered for a mathematical proof. It helps to differentiate the set from other variables and makes it easier to understand the proof.

How is the special script for 'm' different from a regular 'm' in mathematics?

The special script for 'm' is a stylized version of the regular 'm' and is often used in mathematical notation to represent a specific quantity or variable. It is usually written in a different font or style to distinguish it from other variables.

Can the special script for 'm' be used to represent any other variable?

No, the special script for 'm' is specifically used to represent the number of elements in a set. Other variables may have their own special symbols or notations, but the special script for 'm' is unique to this purpose.

Why is the special script for 'm' used in Bland Proposition 2.2.11 specifically?

The special script for 'm' is used in Bland Proposition 2.2.11 because this proposition deals with sets and their cardinality, or the number of elements in a set. Using the special script for 'm' helps to make the notation more concise and clear.

Is the special script for 'm' used in all mathematical proofs?

No, the special script for 'm' is not used in all mathematical proofs. It is only used when dealing with sets and their cardinality. In other mathematical proofs, different symbols or notations may be used to represent specific variables.