What is the meaning of := in mathematical notation?

In summary, the conversation discusses the use of the symbol ":=" in mathematics, specifically in the context of defining a new variable u as -v. This symbol is commonly used to indicate that something is being defined or assigned. The conversation also mentions the program MathCad, which uses this symbol for defining variables and functions.
  • #1
BustedBreaks
65
0
u := -v

specifically the " := "

Here is the context. When f, g are suitably regular functions on R we can use the change of variable u:=-v etc..I should add that I came across this in a Fourier Transform book..

Thanks!
 
Last edited:
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  • #2
It usually means 'defined to be'.

So in this context, we know what v is, and we want to define u as a new variable. So you write u := -v to let the reader know u is being defined as -v (where v has been defined previously).
 
  • #3
Ah... well that makes sense
thank you very much.
 
  • #4
What, you haven't learned all half-dozen (dozen?) different symbols for "defined as" yet? :p
 
  • #5
the program MathCad uses the ":=" to define things like variables and functions. perhaps you saw a document made with mathcad?
 

FAQ: What is the meaning of := in mathematical notation?

What does this notation mean?

This is a common question in the scientific community when encountering unfamiliar symbols or equations. Notation is a system of symbols used to represent mathematical or scientific concepts. It is important to understand the meaning of notation in order to interpret and communicate data and findings accurately.

Why is notation important in science?

Notation allows scientists to express complex ideas and relationships in a concise and standardized manner. It also enables effective communication and collaboration among researchers, as they can easily understand and replicate each other's work.

How can I learn more about scientific notation?

The best way to learn about scientific notation is to study mathematics and science, as they are the foundation for understanding and using notation. However, there are also many online resources and textbooks available that explain and provide examples of different types of notation.

What is the difference between mathematical and scientific notation?

While both types of notation use symbols and numbers to represent ideas, mathematical notation is used primarily for calculations and equations, while scientific notation is used to represent physical quantities and units in scientific research and experiments.

Do all scientists use the same notation?

No, different fields of science may use their own specific notation to represent concepts and variables. However, there are also many universally accepted notations, such as the Greek alphabet for mathematical and scientific symbols, and the metric system for units of measurement.

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