What is the official name for a Field Series in mathematics/physics?

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  • #1
carlsondesign
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What is the official name for a field series in mathematics/physics?
I've been working on developing infinitesimal recursion (what I call continuous hierarchy), but I ended up arriving at "field series" instead. My searches didn't seem to come up with anything reasonable (battlefield the video game series), so I'm wondering what the official name for a field series is. Thanks!
 
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  • #2
What do you mean by field and what by series? Fields are certain rings, and related ones are sometimes a tower of fields or a sequence of fields in case they are contained in one another.
 
  • #3
Needs to be user defined.
 

1. What is a field series in mathematics/physics?

A field series in mathematics/physics is a set of mathematical or physical concepts and principles that are related to a specific field of study, such as electromagnetism or thermodynamics.

2. What is the purpose of a field series?

The purpose of a field series is to provide a framework for understanding and analyzing complex phenomena in a specific field of study. It allows scientists to make predictions and solve problems within that field using established principles and equations.

3. What is the difference between a field series and a theory?

A field series is a collection of principles and concepts that are used to understand and explain a specific field of study, while a theory is a well-supported and tested explanation for a natural phenomenon.

4. How is a field series developed?

A field series is developed through a combination of experimental observations, mathematical modeling, and theoretical analysis. Scientists use these methods to identify patterns and relationships within a specific field of study and develop a set of principles that can be used to explain and predict phenomena within that field.

5. Are all fields of study in mathematics/physics represented by a field series?

No, not all fields of study in mathematics/physics have a specific field series. Some fields, such as pure mathematics, may not have a well-defined set of principles and concepts that can be organized into a series. However, most major fields in mathematics and physics, such as mechanics, optics, and thermodynamics, have well-established field series.

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