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### Enumeration of words by their number of mistakes

Doron Zeilberger
<span title="">1981</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
Consider :tlI words in { 1, . . . , n). A fixed set 'of words is labeled as the set of "r&takes". A generatin!; function for the number of words with m,l's, . . . , m,n's and k mistakes i?, given.  ...  This generalizes a result of Gessel who considered the case wh=cre all the mistazes are two-lettered. A similar result has been independently obkked by Goulden and Jackson.  ...  The number of subwords of w which belong to L is the iumber of rnis:a!w of w and will be denoted by d(w).  ...
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### The Goulden–Jackson Cluster Method for Cyclic Words

Anne E. Edlin, Doron Zeilberger
<span title="">2000</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cmpnnf7ngjdizknpclbqvvidmm" style="color: black;">Advances in Applied Mathematics</a> </i> &nbsp;
the number of marked mistake.  ...  Burstein and Wilf used their generating function to obtain a very precise exact formula for the actual enumerating sequence.  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/aama.2000.0696">doi:10.1006/aama.2000.0696</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/agwgo42htjgdhmhsp54eg6ob4q">fatcat:agwgo42htjgdhmhsp54eg6ob4q</a> </span>
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### Page 1391 of Mathematical Reviews Vol. , Issue 82d [page]

<span title="">1982</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Zeilberger, Doron 82d:05016 Enumeration of words by their number of mistakes. Discrete Math. 34 (1981), no. 1, 89-91. Author’s summary: “Consider all words in {1,---,n}.  ...  A fixed set of words is labeled as the set ofmistakes’. A generating function for the number of words with m, 1’s,---,m,, n’s and k mistakes is given.  ...
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### An Automated Post-Mortem Analysis of Vulnerability Relationships using Natural Language Word Embeddings

Benjamin S. Meyers, Andrew Meneely
<span title="">2021</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cx3f4s3qmfe6bg4qvuy2cxezyu" style="color: black;">Procedia Computer Science</a> </i> &nbsp;
In the case of vulnerabilities, understanding their causes, consequences, and mitigations is essential to learning from past mistakes and writing better, more secure code in the future.  ...  In the case of vulnerabilities, understanding their causes, consequences, and mitigations is essential to learning from past mistakes and writing better, more secure code in the future.  ...  Acknowledgements This work has been sponsored in part by the National Science Foundation grant 1922169, and by a Department of Defense DARPA SBIR program. The authors wish to thank Dr.  ...
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### Page 1386 of Dental Digest Vol. 9, Issue 11 [page]

<span title="">1903</span> <i title="Dental Economics"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_dental-digest" style="color: black;">Dental Digest </a> </i> &nbsp;
So with our human limitations, the ma- jority of us will continue to make mistakes, but the number should be gradually lessened.  ...  Errors are easily made by transpos- ing the quantity of one for another. Some glaring mistakes have been made in this manner.  ...
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### Page 482 of The Biblical Repository and Classical Review Vol. 10, Issue 28 [page]

<span title="">1837</span> <i title="Open Court Publishing Co"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_biblical-repository-and-classical-review" style="color: black;">The Biblical Repository and Classical Review </a> </i> &nbsp;
At the end will be added all Hebrew words arranged according to their roots ; another catalogue of words arranged alphabetically ; an alphabetic syllabus of all particles ; a complete enumeration of all  ...  com- parison with the Semitic and Sanscrit tongues and by a careful anal- ysis of the word itself, its origen and native force are demonstrated ; a large number of synonyms are added, so that its use and  ...
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### Page 25 of The New Universal Magazine, or Miscellany of Historical, Philosophical, Political and Polite Literature Vol. 8, Issue 44 [page]

<span title="">1807</span> <i title="Open Court Publishing Co"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_new-universal-magazine-or-miscellany" style="color: black;">The New Universal Magazine, or Miscellany of Historical, Philosophical, Political and Polite Literature </a> </i> &nbsp;
Their number is perhaps infi- nitely greater then would be ima- gined.  ...  . ‘* jn a dictionary of alanguage, says our academic philosopher, there are three things to be principally consi- dered: the signification of words, their use, &c. words are established by accurate defi  ...
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### Page 568 of American Journal of Public Health Vol. 7, Issue 6 [page]

<span title="">1917</span> <i title="American Public Health Association"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_american-journal-of-public-health" style="color: black;">American Journal of Public Health </a> </i> &nbsp;
At every census a few regions, usually cities, in various parts of the United States, try to bring the results of the enumeration up to their own inflated ideas on the subject, sometimes by honest mistakes  ...  The presumption against the accuracy of these registration figures is strengthened by the number and kind of errors which crept into the Federal census of Washington in 1910.  ...
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### Page 222 of Household Words. a Weekly Journal. Conducted by Charles Dickens Vol. 10, Issue 239 [page]

<span title="1854-10-21">1854</span> <i title="Open Court Publishing Co"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_household-words-a-weekly-journal-by-charles-dickens" style="color: black;">Household Words. a Weekly Journal. Conducted by Charles Dickens </a> </i> &nbsp;
What dreadful mistakes were made!  ...  will call to mind the momentous thirty-first day of March, eighteen hundred and fifty-one ; on which an army of enumerators, thirty thousand six hundred and ten in number, went round to every house in  ...
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### Mathematical knowledge and language in deaf students: The relationship between the recitation of a numerical sequence and Brazilian Sign Language proficiency

Silene Pereira MADALENA, Jane CORREA, Alina Galvão SPINILLO
<span title="">2020</span> <i title="FapUNIFESP (SciELO)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/77hcltyaxzbkzmaszsfq5otnwm" style="color: black;">Estudos de Psicologia (Campinas)</a> </i> &nbsp;
The present study investigated recitation skills, constitutive of the number concept, and their relationship with language skills in the Brazilian Sign Language.  ...  The ability to enumerate was associated with specific levels of receptive and expressive language in Brazilian Sign Language.  ...  When the student made a mistake, he or she would be interrupted by the same procedure: the last three correct numbers were signed.  ...
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### Page 369 of Law Library Journal Vol. 32, Issue 5 [page]

<span title="">1939</span> <i title="American Assn of Law Libraries"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_law-library-journal" style="color: black;">Law Library Journal </a> </i> &nbsp;
We, in the twentieth century, should not repeat the mistake of the scholastic middle ages or the mistake of a decaying Chinese empire; that is, to put all faith in a certificate, which would qualify the  ...  In other words, it almost seems to me that the committee would favor a “closed shop” in the field of law librarianship.  ...
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### Page 267 of The Western New York Baptist Magazine Vol. 4, Issue 11 [page]

<span title="">1825</span> <i title="Open Court Publishing Co"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_western-new-york-baptist-magazine" style="color: black;">The Western New York Baptist Magazine </a> </i> &nbsp;
In estimating the number of competent ministers, the question has been decided by the de- gree of education and intellectual culture possessed by the individual ; and consequently, Arminians with all their  ...  A pious churchinan tells me with the liveliest joy, not that unprecedented efforts are making to im- prove ‘the intellectual character of their clergy,’ but that the number of evangelical ministers is  ...
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### Page 267 of The Western New York Baptist Magazine Vol. 4, Issue 9 [page]

<span title="">1825</span> <i title="Open Court Publishing Co"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_western-new-york-baptist-magazine" style="color: black;">The Western New York Baptist Magazine </a> </i> &nbsp;
In estimating the number of competent ministers, the question has been decided by the de- gree of education and inteilectual culture possessed by the individual ; and conseq: rently, Arminians with all  ...  A pious churchman tells me with the liveliest joy, not that unprecedented efforts are making to im- prove * the intellectual character of their clergy,’ but that the number of evangelical ministers is  ...
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### Page 243 of The Dublin Review Vol. 7, Issue [page]

<span title="">1882</span> <i title="Month, The"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_dublin-review" style="color: black;">The Dublin Review </a> </i> &nbsp;
To enumerate all the mistakes in our essayist’s account of the miracle wrought at the Confessor’s tomb in honour of St.  ...  But the most marvellous thing about these and other errors in matters of detail, some of them of great his- torical importance, and most of them of great moral interest, is not their number but their perversity  ...
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### Pilot study of the influence of a communicator's speech characteristics on a recipient's willingness to maintain interaction in cross-cultural online communication

Nadezhda S. Rudenko, Svetlana G Krylova
<span title="">2016</span> <i title="Russian Psychological Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lgw54yl7xzasxojnhwfxgqwfny" style="color: black;">Psychology in Russia: State of Art</a> </i> &nbsp;
Language and speech mistakes as well as the quantity of words in the utterances of micro themes had the highest number of significant correlations with indicators of the willingness to maintain conversations  ...  The first factor, language and speech mistakes, decreased the willingness to maintain conversations, whereas the second factor, the number of words in Russian students' utterances, increased such willingness  ...  Number of words in the utterances of a micro theme table 2 . 2 Average number of different types of mistakes made by the Russian students in the micro themes of a chat types of mistakes language  ...
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