Scalar Functions Explained - 65 characters

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Scalar functions are defined by a single magnitude, such as f(x)=5, and can be extended to multiple dimensions, like f(x,y)=5, which is also considered a scalar function. The discussion includes examples of scalar functions in one and two dimensions, as well as a brief exploration of scalar fields. Additionally, a question about vector equality based on cross products is raised, clarifying that if AxB=AxC, it does not imply B=C. The conversation highlights the nuances of scalar and vector mathematics. Overall, the thread serves as a basic introduction to scalar functions and their properties.
ssrtac
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scalar functions :(

First of all I'm sorry for posting new thread about for this simple topic.
I know scalars are quantities that are fully described by a magnitude or numerical values.

For example i setx related scalar function and named it f(x) suppose that f(x)=5
and how about if i want to set 2-dimensional scalar function? Can we say f(x,y)=5 is scalar function? May anyone exemplify me x-related and (x,y)-related scalar functions?

Thanks in advance have a nice day.
 
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Yes, sometimes f(x,y,z,t) would be called a scalar field.
 


DaleSpam said:
Yes, sometimes f(x,y,z,t) would be called a scalar field.

ok thanks:)

now , i have a question about vectors.. if AxB=AxC
then is it right to say that B=C ?

(where A,B,C are three vectors)
 


Not necessarily. For example let C=B + A. AxA=0.
 


mathman said:
Not necessarily. For example let C=B + A. AxA=0.

wow! thank you so much.

with my best regards
sertac
 
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