What notation would mathematicians use ?

  • Thread starter TOKAMAK
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In summary, mathematical notation is a system of symbols and characters used by mathematicians to represent complex mathematical ideas in a concise and standardized way. It includes symbols for basic operations, common functions, and is created by mathematicians based on existing conventions or by creating new symbols. While there are some universally accepted notations, there is no single standard for all mathematical notation, and it may vary among different branches of mathematics or among mathematicians and textbooks.
  • #1
TOKAMAK
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How would a mathematician write this:

[tex]\hat{1} = \int dx |x\rangle \langle x| ?[/tex]
 
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  • #2
This one,i guess

[tex] \hat{1}=\int dx \ \hat{P}_{x} [/tex]

,where the projector acts on a rigged Hilbert space.

Daniel.
 
  • #3
What's a rigged Hilbert space dex?
 
  • #4
As set of 4 spaces

[tex] \Omega\subset\mathcal{H}\cong \tilde{\mathcal{H}}\subset \tilde{\Omega} [/tex]

Daniel.
 
  • #5
I was just ****in with you :)
 

1. What is mathematical notation?

Mathematical notation is a system of symbols and characters used to represent mathematical concepts, equations, and operations.

2. Why do mathematicians use notation?

Mathematicians use notation to express complex mathematical ideas in a concise and standardized way. It allows for efficient communication and understanding among mathematicians.

3. What are the most commonly used mathematical notations?

Some of the most commonly used mathematical notations include symbols for basic operations such as addition (+), subtraction (-), multiplication (×), and division (÷), as well as symbols for common functions like square root (√), exponentiation (^), and logarithms (log).

4. How is mathematical notation created?

Mathematical notation is created by mathematicians to represent specific mathematical concepts and operations. It is often based on existing symbols and conventions, but can also be created by combining symbols or creating new ones.

5. Is there a standard for mathematical notation?

While there are some universally accepted mathematical notations, there is no single standard for all mathematical notation. Different branches of mathematics may use different notations, and some notations may vary among different mathematicians or textbooks.

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