Does a symbol exist for this operation?

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In summary, we discussed using a relational operation to determine the value of _pq based on the values of p and q. The use of characteristic functions, such as the Heaviside step function, can also be helpful in this scenario. The Heaviside step function is represented as u(t) and can be used to determine if a value is greater than or equal to another value.
  • #1
brydustin
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(*)_pq = 1 if p> q else 0

This is kinda like kronecker delta in that its a relational operation. Any clue?
 
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  • #2
brydustin said:
(*)_pq = 1 if p> q else 0

This is kinda like kronecker delta in that its a relational operation. Any clue?

I think something with characteristic functions would work. Maybe something like

[tex]
a_{pq} = \chi_{(q, \infty)}(p)
[/tex]

where
[tex]
\chi_A(x) =
\begin{cases}
0 & \text{if} \; \; x \notin A \\
1 & \text{if} \; \; x \in A \; .
\end{cases}
[/tex]
Does that help? Are p and q real numbers?
 
  • #3
the Heaviside step function can also be used for this (just a special case of a characteristic function):

[itex]u(t)[/itex] is 1 for [itex]t>0[/itex] and 0 for [itex]t<0[/itex].

Some folks capitalize the U.

jason
 

FAQ: Does a symbol exist for this operation?

What is a symbol for an operation?

A symbol for an operation is a visual representation that is used to represent a mathematical or logical operation. It is used to make complex equations or processes easier to read and understand.

Why do we need symbols for operations?

Symbols for operations help simplify complex equations and processes, making them easier to read and understand. They also allow for quicker and more efficient communication of mathematical or logical ideas.

Can symbols for operations be used interchangeably?

In most cases, symbols for operations cannot be used interchangeably. Each symbol has a specific meaning and is used to represent a specific operation. Using the wrong symbol can result in incorrect calculations or misunderstandings in communication.

How are symbols for operations created?

Symbols for operations are created through a combination of mathematical conventions and historical context. Some symbols are based on the shape of the operation (e.g. + for addition) while others are derived from the names of the operations (e.g. sin for sine).

Are there international standards for symbols for operations?

Yes, there are international standards for symbols for operations. The International Organization for Standardization (ISO) has established a set of mathematical symbols that are widely used and recognized in scientific and academic settings.

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