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Search Results: 1 - 10 of 10244 matches for " Charles Wilf "
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Belief Structures, Common Policy Space and Health Care Reform: A Q Methodology Study  [PDF]
Charles Wilf
Psychology (PSYCH) , 2011, DOI: 10.4236/psych.2011.29143
Abstract: Debate on the merits of health care reform continues even after passage of the Affordable Care Act of 2010. Poll results confirm a split along political party and associated ideological lines with democrats more supportive and republicans generally opposed to the law. As parts of the law are now subject to increasing scrutiny, it may be instructive to question whether a party-centered or surrogate liberal/conservative dichotomy is the best representation of positions in the health care debate. Q Methodology reveals a more complex set of belief structures, suggesting that a simple dichotomy is misleading in terms of the values that underlie the role of health care in society. Five distinct belief structures were found, each with different concerns as to the purpose and potential benefits of various health care initiatives. In addition, Q Methodology allows for the formation of a common policy space within which all belief structures are independently in agreement in four specific areas. It is argued that this empirically derived consensus can serve as a basis for effective political engagement and policy implementation.
A Curmudgeon’s Complaint
Wilf Innerd
Brock Education : a Journal of Educational Research and Practice , 2004,
Abstract: The student arrives a few minutes early. She is a little out of breath, as it has been quite a dash across town in heavy traffic from school. But she has made it for 4:30 and has a moment or two to collect her thoughts before going in to see her advisor. She has completed the requisite eight courses that are required before she starts on her major paper, including one course on research methods and one on educational statistics. She has an A- average and is quietly confident that she can do what is needed and proceed next June to graduate with an M.Ed. degree. She is the first member of her family to have earned any kind of university degree, and this additional qualification will be greeted with a lot of respect, even awe, by her relatives. All she ever wanted to be was a good primary teacher, and she is that, but the M.Ed. will be the icing on the cake.
Accelerated series for universal constants, by the W Zmethod
Herbert S. Wilf
Discrete Mathematics & Theoretical Computer Science , 1999,
Abstract: In this paper, the author presents a method, based on WZ theory, for finding rapidly converging series for universal constants. This method is analogous but different from Amdeberhan and Zeilberger's method.
The method of characteristics, and "problem 89" of Graham, Knuth and Patashnik
Herbert S. Wilf
Mathematics , 2004,
Abstract: We apply the method of characteristics for the solution of pde's to two combinatorial problems. The first is finding an explicit form for a distribution that arises in bio-informatics. The second is a question raised by Graham, Knuth and Patashnik abiout a sequence of generalized binomial coefficients. We find an exact formula, which factors in an interesting way, in the case where one of the six parameters of the problem vanishes. We also show that the associated polynomial sequence has real zeros only, provided that one parameter vanishes, and the other five are nonnegative.
The variance of the Stirling cycle numbers
Herbert S. Wilf
Mathematics , 2005,
Abstract: We show that the probability that two permutations of $n$ letters have the same number of cycles is \[\sim \frac{1}{2\sqrt{\pi\log{n}}}.\]
Left-to-right maxima in words and multiset permutations
Amy Myers,Herb Wilf
Mathematics , 2007,
Abstract: We extend classical theorems of Renyi by finding the distributions of the numbers of both weak and strong left-to-right maxima (a.k.a. outstanding elements) in words over a given alphabet and in permutations of a given multiset.
The distribution of longest run lengths in integer compositions
Herbert S. Wilf
Mathematics , 2009,
Abstract: We find the generating function for $C(n,k,r)$, the number of compositions of $n$ into $k$ positive parts all of whose runs (contiguous blocks of constant parts) have lengths less than $r$, using recent generalizations of the method of Guibas and Odlyzko for finding the number of words that avoid a given list of subwords.
A combinatorial determinant
Herbert S. Wilf
Mathematics , 1998,
Abstract: A theorem of Mina evaluates the determinant of a matrix with entries $D^j(f(x)^i)$. We note the important special case where the matrix entries are evaluated at $x=0$ and give a simple proof of it, and some applications. We then give a short proof of the general case.
Identically Distributed Pairs of Partition Statistics
Herbert S. Wilf
Mathematics , 2000,
Abstract: We show that many theorems which assert that two kinds of partitions of the same integer $n$ are equinumerous are actually special cases of a much stronger form of equality. We show that in fact there correspond partition statistics $X$ and $Y$ that have identical distribution functions. The method is an extension of the principle of sieve-equivalence, and it yields simple criteria under which we can infer this identity of distribution functions.
The Redheffer matrix of a partially ordered set
Herbert S. Wilf
Mathematics , 2004,
Abstract: R. Redheffer described an $n\times n$ matrix of 0's and 1's the size of whose determinant is connected to the Riemann Hypothesis. We describe the permutations that contribute to its determinant and evaluate its permanent in terms of integer factorizations. We generalize the Redheffer matrix to finite posets that have a 0 element and find the analogous results in the more general situation.
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