tag:blogger.com,1999:blog-3722233.post4776568932442331868..comments2022-12-09T08:43:59.127-06:00Comments on Computational Complexity: Is there a word for the top part of a binomial coefficient?Lance Fortnowhttp://www.blogger.com/profile/06752030912874378610noreply@blogger.comBlogger11125tag:blogger.com,1999:blog-3722233.post-84318072466537066982014-07-12T18:37:50.420-05:002014-07-12T18:37:50.420-05:00Set size and subset size.Set size and subset size.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-57437061372846241552014-07-12T17:26:06.275-05:002014-07-12T17:26:06.275-05:00I have to agree with Anonymous here --- we can mak...I have to agree with Anonymous here --- we can make up all sorts of cute names, but if we had a serious paper where we actually wanted the reader to understand what was going on, we had best them call the "numerator" and "denominator" of the binomial coefficient.Davidhttps://www.blogger.com/profile/13818371550669837787noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-70047141614300852422014-07-11T20:15:19.254-05:002014-07-11T20:15:19.254-05:00I like just using numerator and denominatorI like just using numerator and denominatorAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-86415524956383840772014-07-11T18:01:27.131-05:002014-07-11T18:01:27.131-05:00choosand / choosee / chooser / ...
Now just decid...choosand / choosee / chooser / ...<br /><br />Now just decide which is which :)Laszlo Khttp://www.lkozma.netnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-19237901157406668732014-07-11T00:57:56.147-05:002014-07-11T00:57:56.147-05:00I was working on a probability series which has th...I was working on a probability series which has the exact opposite of the above where bottom (denominator) rises - https://sites.google.com/site/kuja27/CircuitForComputingErrorProbabilityOfMajorityVoting_2014.pdf?attredirects=0&d=1 <br /><br />Since above reminds of Componendo-Dividendo, it can be termed Biponendo-Bividendo :-)Srinivasan Kannanhttps://sites.google.com/site/kuja27/noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-37075128459555006212014-07-10T19:39:06.809-05:002014-07-10T19:39:06.809-05:00How about this*.How about this*.Anonymoushttps://www.blogger.com/profile/10830338577086508706noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-21104597717656146192014-07-10T12:51:50.308-05:002014-07-10T12:51:50.308-05:00For the top: "binomerator".
For the ...For the top: "binomerator". <br /><br />For the bottom... I've got nothing.<br /><br />Andy Dnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-44326721906369247262014-07-10T06:57:11.882-05:002014-07-10T06:57:11.882-05:00In your initial sequence I would say that the nume...In your initial sequence I would say that the numerators go through (z+1) consecutive integers actually.<br />For the binomial coefficients I would probably stick with the (mostly standard) "outcomes" and "possibilities" ( http://mathworld.wolfram.com/BinomialCoefficient.html ) since most people encounter them first during Combinatorics.<br />Greghttps://www.blogger.com/profile/08503319830584828982noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-84164904541288564752014-07-10T02:11:57.500-05:002014-07-10T02:11:57.500-05:00Isn't it called numerator and denominator?http...Isn't it called numerator and denominator?https://en.m.wikipedia.org/wiki/Numerator Anonymoushttps://www.blogger.com/profile/06171235887505170925noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-65959656140740747622014-07-10T01:31:22.249-05:002014-07-10T01:31:22.249-05:00Lets call upper part bino and lower part mial. Jus...Lets call upper part bino and lower part mial. Just like bra - ketAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-74566079919675262742014-07-09T21:50:12.966-05:002014-07-09T21:50:12.966-05:00Considering it's a binomial coefficient, perha...Considering it's a binomial coefficient, perhaps the top part should be called the degree (it represents the coefficients of a homogeneous polynomial of a fixed degree, after all). For the bottom, how about index? As in, the index of the term that the binomial coefficient is for in the corresponding lex order on the terms. j2kunhttps://www.blogger.com/profile/08041921049916424212noreply@blogger.com