Scalar Functions Explained - 65 characters

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Discussion Overview

The discussion revolves around scalar functions, specifically their definitions and examples in one and two dimensions. Participants explore the concept of scalar fields and also touch upon related vector operations.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant defines scalar functions as quantities described by magnitude or numerical values and seeks clarification on two-dimensional scalar functions.
  • Another participant mentions that functions like f(x,y,z,t) can be referred to as scalar fields.
  • A participant poses a question regarding vector equality based on the cross product, asking if AxB=AxC implies B=C.
  • Responses indicate that the implication is not necessarily true, providing an example where C=B+A, leading to AxA=0.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the implications of vector equality derived from the cross product, indicating a disagreement on that aspect.

Contextual Notes

The discussion includes assumptions about the properties of scalar functions and vector operations that are not fully explored or defined, leaving some aspects unresolved.

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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