What does the following formalism mean?

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In summary, a formalism is a set of mathematical symbols and expressions used to represent a specific concept or theory in a structured and concise manner. It is different from a regular equation in that it is more general and can represent broader concepts. A single formalism can be applied to multiple related concepts, but it is important to ensure the context and assumptions are appropriate. Formalisms are developed through abstraction and simplification, and they are not limited to scientific fields as they are also used in philosophy, linguistics, and computer science. They help to organize and communicate complex ideas and theories in a logical and systematic manner.
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Hi, could you please explain to me what does the following formalisms mean?

View attachment 2414

i'm interested in the body part.

Thank you in advance.
 

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Hi, and welcome to MHB!

It looks like a formal definition of some programming language. This part shows what a method, or a function, is. The body may contain an assignment of a variable to a variable or of the result of a method call to a variable. The other two options I did not really understand; more context is needed.
 

FAQ: What does the following formalism mean?

What does the following formalism mean?

The following formalism refers to a set of mathematical symbols and expressions used to represent a specific concept or theory in a structured and concise manner. It helps to convey complex ideas in a clear and standardized way.

How is the following formalism different from a regular equation?

A regular equation is usually used to calculate a specific value or solve a problem, while a formalism is more general and can represent a broader concept or theory. Additionally, formalisms often include symbols and conventions specific to a particular field of study.

Can a single formalism be used to represent multiple concepts?

Yes, a single formalism can be applied to multiple concepts if they are related and share similar mathematical relationships. However, it is important to ensure that the context and assumptions of the formalism are appropriate for each concept.

How are formalisms developed?

Formalisms are typically developed through a process of abstraction and simplification. This involves identifying the essential components and relationships of a concept, and representing them in a way that is both concise and precise.

Are formalisms used outside of scientific fields?

Yes, formalisms are also used in other fields such as philosophy, linguistics, and computer science. They can be helpful in organizing and communicating complex ideas and theories in a logical and systematic manner.

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