How to read/interpret this equation

  • Context: Undergrad 
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Discussion Overview

The discussion centers around the interpretation of an equation involving a matrix and binomial coefficients. Participants seek clarification on the notation used and its representation in a different format, specifically for the case when n=3.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses confusion about interpreting a matrix in an equation and requests a single-line representation for n=3.
  • Another participant clarifies that the notation in question is a standard representation of a binomial coefficient, not a matrix.
  • A different participant questions whether \tau is a matrix and reiterates that {n \choose k} is not a matrix.
  • One participant acknowledges the misunderstanding regarding the notation and thanks others for their responses.

Areas of Agreement / Disagreement

There is no consensus on the interpretation of the notation, as some participants believe it is a matrix while others clarify that it is not. The discussion remains unresolved regarding the initial participant's confusion.

Contextual Notes

The discussion highlights potential misunderstandings regarding mathematical notation and the definitions of terms like "matrix" and "binomial coefficient." There are unresolved assumptions about the context of the equation being discussed.

TheMarksman
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Hi guys,

Capture.png


I am a little confused about how to interpret the matrix included in the equation...can someone please write it in a single line not using the matrix for let's say n=3...


Thanks in advance.
 
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That's not a matrix, it's a standard notation for a binomial coefficient:

$$\left(\begin{array}{c}{n \\ k}\end{array}\right) = _nC_k = \frac{n!}{k!(n-k)!}$$
 
TheMarksman said:
Hi guys,

Capture.png


I am a little confused about how to interpret the matrix included in the equation...can someone please write it in a single line not using the matrix for let's say n=3...


Thanks in advance.

What matrix? Is [itex]\tau[/itex] a matrix? Because [itex]{n \choose k}[/itex] is not a matrix.
 
Thanks so much Mr. Mute..Mr. Mentallic, I thought (n k) is a matrix not tau...sorry...

Thanks so much for the replies...have a good day guys...
 

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