A singular function and its relation with the number systems involved in its definition

Minkowski's ?(x) function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it permits us to prove that its derivative, as it also happens for many other non-decreasing singular functions from [0,1] to [0,1], when it exists can only attain two values: zero and infinity. It is also proved that if the average of the partial quotients in the continued fraction expansion of x is greater than k* =5.31972, and ?'(x) exists then ?'(x)=0. In the same way, if the same average is less than k**=2 log2(F), where F is the golden ratio, then ?'(x)=infinity. Finally some results are presented concerning metric properties of continued fraction and alternated dyadic expansions.

Satisfaction in choice as a function of the number of alternatives: When "goods satiate" but "bads escalate"

Whereas people are typically thought to be better off with more choices, studiesshow that they often prefer to choose from small as opposed to large sets of alternatives.We propose that satisfaction from choice is an inverted U-shaped function of thenumber of alternatives. This proposition is derived theoretically by considering thebenefits and costs of different numbers of alternatives and is supported by fourexperimental studies. We also manipulate the perceptual costs of information processingand demonstrate how this affects the resulting satisfaction function. We furtherindicate that satisfaction when choosing from a given set is diminished if people aremade aware of the existence of other choice sets. The role of individual differences insatisfaction from choice is documented by noting effects due to gender and culture. Weconclude by emphasizing the need to have an explicit rationale for knowing how muchchoice is enough.

Executive Order Number Six, February 21, 2008

Establishes a Green Government Initiative for the State of Iowa.

Executive Order Number Seven, June 27, 2008

This Executive Order establishes an Iowa Task Force to Rebuild Iowa, after the storms and flood in May and June of 2008.

Executive Order Number Eight, July 16, 2008

This Executive Order establishes an Independent Contractor Reform Task Force.

Iowa Developments, Volume 17, Number 4

Business news from the Iowa Department of Economic Development

Iowa Developments, August 2008, Volume 17, Number 5

Business Development news from the Iowa Department of Economic Development

Iowa Developments, October 2008, Volume 17, Number 6

Business Development news from the Iowa Department of Economic Development

Executive Order Number Nine, November 7, 2008

This Executive Order directs IFA to administer the allocation of additional tax-exempt bonding authority provided by the Disaster Relief Act, develop administrative rules to implement the allocation of this additional tax-exempt bonding authority, track the allocation of the additional tax-exempt bonding authority to ensure compliance with all applicable federal law, and provide all necessary reports to the IRS.

Executive Order Number Ten, December 22, 2008

This Executive Order aids the Governor to meet his Constitutional obligation to balance the state budget, announcing that he would order a 1.5 percent across-the-board reduction in state expenditures for the current fiscal year.

Genome-wide association analysis of copy number variation in recurrent depressive disorder.

Large, rare copy number variants (CNVs) have been implicated in a variety of psychiatric disorders, but the role of CNVs in recurrent depression is unclear. We performed a genome-wide analysis of large, rare CNVs in 3106 cases of recurrent depression, 459 controls screened for lifetime-absence of psychiatric disorder and 5619 unscreened controls from phase 2 of the Wellcome Trust Case Control Consortium (WTCCC2). We compared the frequency of cases with CNVs against the frequency observed in each control group, analysing CNVs over the whole genome, genic, intergenic, intronic and exonic regions. We found that deletion CNVs were associated with recurrent depression, whereas duplications were not. The effect was significant when comparing cases with WTCCC2 controls (P=7.7 × 10(-6), odds ratio (OR) =1.25 (95% confidence interval (CI) 1.13-1.37)) and to screened controls (P=5.6 × 10(-4), OR=1.52 (95% CI 1.20-1.93). Further analysis showed that CNVs deleting protein coding regions were largely responsible for the association. Within an analysis of regions previously implicated in schizophrenia, we found an overall enrichment of CNVs in our cases when compared with screened controls (P=0.019). We observe an ordered increase of samples with deletion CNVs, with the lowest proportion seen in screened controls, the next highest in unscreened controls and the highest in cases. This may suggest that the absence of deletion CNVs, especially in genes, is associated with resilience to recurrent depression.

Executive Order Number Eleven, February 17, 2009

This Executive Order creates a task force on dependent care.

Executive Order Number Twelve, April 14, 2009

This Executive Order made the creation of the Iowa Accountability and Transparency Board and the report of the State of Iowa's efforts to implement the AARA

An estimate of the potential number of mayfly species (Ephemeroptera, Insecta) still to be described in Brazil

ABSTRACTThis study reviewed the data on the Brazilian Ephemeroptera, based on the studies published before July, 2013, estimated the number of species still to be described, and identified which regions of the country have been the subject of least research. More than half the species are known from the description of only one developmental stage, with imagoes being described more frequently than nymphs. The Brazilian Northeast is the region with the weakest database. Body size affected description rates, with a strong tendency for the larger species to be described first. The estimated number of unknown Brazilian species was accentuated by the fact that so few species have been described so far. The steep slope of the asymptote and the considerable confidence interval of the estimate reinforce the conclusion that a large number of species are still to be described. This emphasizes the need for investments in the training of specialists in systematics and ecology for all regions of Brazil to correct these deficiencies, given the role of published papers as a primary source of information, and the fundamental importance of taxonomic knowledge for the development of effective measures for the conservation of ephemeropteran and the aquatic ecosystems they depend on.

Executive Order Number Thirteen, May 26, 2009

This Executive Order expects the State government expense reimbursements will be properly accounted for.