Math Notation: P Approaching Zero from the Negative Side

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In summary, the usual notation for "As P approaches zero from the negative side" is \lim_{x \rightarrow 0^-}. This notation uses a minus sign on the right side of the number to indicate approaching from the left, regardless of whether the number is negative or positive. An alternative notation is P \uparrow 0, but it is not as commonly used.
  • #1
zeta101
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Hi,

How would you write mathematically "As P approaches zero from the negative side". Is it something like P --> -0 ?

Thanks!
 
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  • #2
the usual notation is
[tex]\lim_{x \rightarrow 0^-}.[/tex]
 
  • #3
You'd want the 'minus' where an exponent would be, usually something like [tex]P\rightarrow 0^{-}[/tex]
 
  • #4
[itex]P \to 0^-[/itex]. The "-" is on the right side of the number, which makes sense because this way you can use it for negative or positive numbers, otherwise, how could you tell if you meant that P was approaching -5, or approaching positive 5 from the left? So "-" means approaching from the left, and in the case of positive numbers, the left isn't "the negative side" (although it is closer to the negative numbers). Also, this could be written as: [itex]P \uparrow 0[/itex] but you don't see that most of the time.
 
  • #5
Thank you all for the answers!
 

1. What is the purpose of notation in science?

Notation in science is a standardized system of symbols and characters that is used to represent scientific concepts, equations, and data. It allows scientists to communicate complex ideas and calculations in a concise and efficient manner.

2. What are the different types of notation used in science?

There are several types of notation used in science, including mathematical notation (such as Greek letters, subscripts, and superscripts), chemical notation (such as chemical formulas and symbols), and scientific notation (used to express very large or very small numbers).

3. How is notation used in data analysis?

Notation is crucial in data analysis as it allows scientists to represent and manipulate large amounts of data in a standardized way. This makes it easier to identify patterns, trends, and relationships within the data.

4. Why is it important to use correct notation in scientific writing?

Using correct notation in scientific writing ensures that the information being conveyed is accurate and consistent. It also allows for easier understanding and communication among scientists and researchers.

5. Can notation vary between different scientific fields?

Yes, notation can vary between different scientific fields, as each field may have its own set of symbols and conventions. However, there are also some notations that are commonly used across multiple fields, such as the symbols for basic mathematical operations and units of measurement.

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