What Is the Mathematical Operator That Returns 1 for Equal Variables?

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The discussion centers around identifying a mathematical operator that returns 1 when two variables are equal and 0 when they are not. Initially, the XNOR operator is suggested, but it is clarified that the correct term is the Kronecker delta. The Kronecker delta function is used in mathematics, particularly in summation contexts, to indicate equality between two variables. The conversation highlights the importance of precise terminology in mathematical discussions. The Kronecker delta effectively serves the purpose of distinguishing between equal and unequal values.
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Sorry, pretty basic, but for the life of me I can't think of the operator... if i=j it would return 1, and if i != j it would return 0...
 
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no, I remember seeing in a math or physics book once, a mathematical operation that could be done, I believe it was used in context with a summation operator, to obtain a value of 1 if i and j were the same value, and 0 if not.
 
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k=0;
if i==j, then k=1;
...
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
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