What criteria determine the type of mathematical operator used in a formula?

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Discussion Overview

The discussion centers around the criteria that determine the type of mathematical operator used in formulas, specifically in the context of the equation W=F(m), where W represents weight as a function of mass m. Participants explore whether the function f can be defined as multiplication or if other operations like addition or subtraction could also apply.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the definition of the function f in W=F(m) as multiplication, seeking criteria for determining the appropriate mathematical operators (Post 1).
  • Another participant points out that weight is a vector and discusses the relationship between mass and gravity, suggesting that dyadic operators operate between two operands (Post 2).
  • A different participant expresses that the function could be expressed in various ways, including positive and negative values, and questions why multiplication is chosen over other operations, proposing that there must be criteria to determine this (Post 3).
  • Some participants express confusion about the original question, suggesting it may not make sense or may stem from a misunderstanding of mathematical notation (Posts 4 and 5).

Areas of Agreement / Disagreement

Participants do not reach a consensus on the criteria for selecting mathematical operators in the context of the equation. There are multiple competing views and some confusion regarding the original question.

Contextual Notes

There are indications of missing assumptions regarding the definitions of the operators and the context in which they are applied. The discussion reflects uncertainty about the appropriateness of different mathematical operations in this scenario.

electrous
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we have ,
W=F(m)
here W is function of m
how do we define the fuction f as only as multiplication if this formula represent weight of the body. is there any criteria for mathmatical oprators to be addition, subtraction , multiplecation or division pleasezz explian.. :cry:
 
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Well, weight is a vector, and the operation with m (where m is mass, which is a scalar) is m * g, where g is the local acceleration due to gravity, a vector. Addition, subtraction, multiplication and division (+, -, *, /) are dyadic operators which 'operate or provide a relationship between 'two' operands.

Please refer to -
http://www.maxonline.lsu.edu/pages/MFguide/Algebraic/Algebraic.pdf
 
in equatiion W=f(m), the function can be successfully expressed as +ve, -ve, multiplicion and its inverse, then my question is why we consider function f as multipliction and why not others.
your reply about "how to know ", I like it.
sir if we consider the function as +ve , we get a new value of f which will satisfy all conditions , this will have happen in all cases.
I want , I think there must be a criteria,to know about it.
 
electrous said:
we have ,
W=F(m)
here W is function of m
how do we define the fuction f as only as multiplication if this formula represent weight of the body. is there any criteria for mathmatical oprators to be addition, subtraction , multiplecation or division pleasezz explian.. :cry:

I don't think we can explain, as the question doesn't make any sense.
 
matt grime said:
I don't think we can explain, as the question doesn't make any sense.

My best guess is confusion between the implicit multiplication (x)(y) and the functional notation f(x). :confused:
 

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