soft question - How widely known are Iverson brackets?
2015年10月7日 · Here on the Mathematics Stack Exchange I recently learned about the Iverson bracket notation: $$[P] = \begin{cases} 1 & \text{if } P \text{ is true;} \\ 0 & \text{otherwise}. \end{cases}$$ It occurs to me that using this notation would greatly simplify many of the equations in a computer science thesis I'm writing.
group theory - Iverson bracket help - Mathematics Stack Exchange
Iverson bracket - infinite additivity for pairwise disjoint sets. 2. Iverson bracket identity. Hot Network ...
Iverson bracket identity - Mathematics Stack Exchange
2022年12月16日 · It would be even nicer if there was a mechanized way to generate all relevant factorizations of Iverson brackets (but that's probably too much for now). $\endgroup$ – wsdookadr Commented Dec 16, 2022 at 9:32
notation - Is there a math expression equivalent to the conditional ...
2019年3月5日 · Iverson bracket: Iverson bracket notation, as suggested in @FredH's answer, is very similar to the generalized Kronekcer delta. For example: $$ \delta_{i=j} ~~ \Rightarrow ~~ \left[i = j \right] \,.$$ Dropping the $`` \delta "$ reduces backwards-compatibility withe the basic Kroncker delta, plus it weakens the signal about what the notation ...
notation - Iverson Bracket / Conditional Sum of a string
After readingh trhough various articles I based my notation to cases where people used Iverson brackets (Mathematical notation for a conditional sum) and came up with following:
Double summation with infinite limit, change of index using …
2020年9月19日 · The work with Iverson brackets looks (besides notational aspects) fine. Note that in the derivation we not only have to show implications $\rightarrow$ but equivalence relations of the index regions we want to sum up. Here is a derivation based upon index transformations without using Iverson brackets.
probability - How do I use the Iverson Bracket notation to …
2019年6月3日 · Either you get a $1$ the first time with probability $\frac1{100}$, taking just one attempt, or you get a $0$ the first time with probability $1-\frac1{100}$ and then start over again, taking one attempt plus the number of attempts you would expect when restarting (this latter value being the same as the expected number when originally starting)
graph theory - Iverson Brackets - Mathematics Stack Exchange
2015年9月3日 · The most important thing is that the meaning of the equations/expressions in your mathematics is clear to the reader, and even though you could use Iverson brackets to express something, there is often a clearer way without them. Using Iverson brackets could especially cause trouble since brackets are used quite often in mathematics with a ...
Kronecker delta for inequality - Mathematics Stack Exchange
2019年2月8日 · I'd love a link to any online discussion of alternatives. I suppose an author could put a subscript on the closing bracket, if they explain in that context that it indicates an Iverson bracket. I'm not sure about your $\delta$ proposal; the Kronecker delta is already a special case.
How to change the order of summation? - Mathematics Stack …
2016年7月31日 · I've found the Iverson bracket extremely useful for this sort of calculation. For a reference on the technique, I learned it from Concrete Mathematics. The Iverson bracket is a function whose argument is a proposition, and is defined by the formula $$ [P] = \begin{cases} 0 & P \text{ is false} \\ 1 & P \text{ is true} \end{cases} $$