On the Condition c T A -1 b + r > 0, in the Lurie Problem

1975 ◽  
Vol 47 (2) ◽  
pp. 432
Author(s):  
Alfredo S. Somolinos
Keyword(s):  
Lurie Problem ◽  
Condition C

On a conjecture of Hughes

1967 ◽  
Vol 63 (3) ◽  
pp. 647-652 ◽  
Author(s):  
Judita Cofman
Keyword(s):  
Projective Plane ◽  
Permutation Group ◽  
Translation Plane ◽  
Collineation Group ◽  
Affine Plane ◽  
Finite Projective Plane ◽  
Transitive Permutation Group ◽  
Condition C

D. R. Hughes stated the following conjecture: If π is a finite projective plane satisfying the condition: (C)π contains a collineation group δ inducing a doubly transitive permutation group δ* on the points of a line g, fixed under δ, then the corresponding affine plane πg is a translation plane.

scholarly journals Common Fixed Points for Suzuki-Generalized Nonexpansive Maps

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Maryam A. Alghamdi ◽  
Sompong Dhompongsa ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Approximation Theorem ◽  
Satisfying Condition ◽  
Common Fixed Points ◽  
Invariant Approximation ◽  
Nonexpansive Maps ◽  
Condition C ◽  
Common Fixed Point Theorem

A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.

On a theorem of Brian Fisher in the framework of w-distance

2017 ◽  
Vol 33 (2) ◽  
pp. 199-205
Author(s):  
DARKO KOCEV ◽  
◽  
VLADIMIR RAKOCEVIC ◽  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Complete Metric Space ◽  
Point Theory ◽  
Common Fixed Points ◽  
Complete Metric Spaces ◽  
Condition C ◽  
Relaxing Condition

In 1980. Fisher in [Fisher, B., Results on common fixed points on complete metric spaces, Glasgow Math. J., 21 (1980), 165–167] proved very interesting fixed point result for the pair of maps. In 1996. Kada, Suzuki and Takahashi introduced and studied the concept of w–distance in fixed point theory. In this paper, we generalize Fisher’s result for pair of mappings on metric space to complete metric space with w–distance. The obtained results do not require the continuity of maps, but more relaxing condition (C; k). As a corollary we obtain a result of Chatterjea.

Conditional limit theorems for a left-continuous random walk

1973 ◽  
Vol 10 (1) ◽  
pp. 39-53 ◽  
Author(s):  
A. G. Pakes
Keyword(s):  
Random Walk ◽  
Limit Theorems ◽  
Absorbing State ◽  
Conditional Limit Theorems ◽  
Recurrent Markov Chain ◽  
Continuous Random Walk ◽  
Condition C ◽  
Positive Recurrent ◽  
Positive Integers ◽  
Conditional Limit

The present work considers a left-continuous random walk moving on the positive integers and having an absorbing state at the origin. Limit theorems are derived for the position of the walk at time n given: (a) absorption does not occur until after n, or (b) absorption does not occur until after m + n where m is very large, or (c) absorption occurs at m + n. A limit theorem is given for an R-positive recurrent Markov chain on the non-negative integers with an absorbing origin and subject to condition (c) above.

Factors Contributing to Intra-Individual Variation of Serum Constituents: 4. Effects of Posture and Tourniquet Application on Variation of Serum Constituents in Healthy Subjects

1974 ◽  
Vol 20 (12) ◽  
pp. 1513-1519 ◽  
Author(s):  
Bernard E Statland ◽  
Henning Bokelund ◽  
Per Winkel
Keyword(s):  
Total Lipid ◽  
Serum Potassium ◽  
Individual Variation ◽  
Total Protein ◽  
Aspartate Aminotransferase ◽  
Tourniquet Time ◽  
Phosphate Ion ◽  
Condition C ◽  
Channel Analyzer ◽  
Condition B

Abstract We studied the effects on 18 serum constituents of posture and prolonged tourniquet application. The subjects were 11 healthy men, ages 20-25 years. The assays were performed on the AutoChemist Multi-Channel Analyzer (AutoChem Instrument AB, Lidingö, Sweden). To compensate for the within-hour variation in these constituents, we drew blood samples at 1100 h and 1130 h on several days. The 1100-h sample was taken after the subjects had been sitting erect for 60 min. The 1130-h sample followed different posture regimens: Control day: sitting for 15 min; experimental days: after (a) being supine for 30 min, (b) standing for 30 min, and (c) sitting erect for 30 min. The 1130-h/ 1100-h ratios for the three experimental days were compared with those for the control day. Significant differences (P <.05) were found for serum potassium, calcium, total protein, albumin, aspartate aminotransferase, and acid phosphatase under condition a; for phosphate ion, total protein, total lipid, cholesterol, and alkaline phosphatase under condition b; and for aspartate aminotransferase under condition c. The effect of a 3-minute tourniquet application was similarly studied. The ratio of the "prolonged tourniquet application day" differed significantly from the control day with regard to serum potassium, total protein, iron, total lipid, cholesterol, aspartate aminotransferase, and bilirubin. Significance of posture and tourniquet time in blood-sampling and their effect on total intra-individual variation are discussed.

Multiple Screens and Devices in an Information-rich Environment

2017 ◽  
Vol 61 (1) ◽  
pp. 361-361
Author(s):  
Jason J. Saleem ◽  
Dustin T. Weiler
Keyword(s):  
Engineering Problem ◽  
Tablet Computer ◽  
Tablet Computers ◽  
Computing Environment ◽  
Significant Difference ◽  
Multiple Tasks ◽  
Computing Environments ◽  
Condition C ◽  
Condition B ◽  
The Ideal

A future trend is the of adoption of a multiscreen and multiple device approach to cope with distractions and multiple tasks. Although this may seem counterintuitive, more screens and possibly more devices may help focus one’s attention rather than serve as a distraction, making multiple tasks viewable at a glance across multiple device screens (Thompson, 2014). Potential benefits of multiscreen and multiple device environments were assessed using three different computing environments. A single factor, within-subject study was conducted with 18 engineering students in a laboratory experiment. Three levels for the computing environment factor included one with a desktop computer with a single monitor (control, condition A); one with a desktop with dual monitors, as well as a single tablet computer (condition B); and one with a desktop with a single monitor, as well as two tablet computers (condition C). There was no statistically significant difference in efficiency when completing scenarios for the three computing environments. However, a dual monitor desktop with a single tablet computer (B) was the ideal computing environment for the information-rich engineering problem given to participants, supported by significantly fewer errors compared to condition C and significantly higher usability ratings compared to conditions A and C. A single desktop monitor with two tablet computers (C) did not provide any advantage compared to a single desktop monitor (A). A dual monitor desktop with a single tablet computer (condition B) was the ideal computing environment for the “information-rich” engineering problem given to participants. This is supported by converging evidence from the dependent measures as well as qualitative debrief interviews. A single desktop monitor with two tablet computers (condition C) did not provide any advantage compared to a single desktop monitor (condition A). Overall, these findings provide only marginal support for the concept we set out to investigate, which was the notion that more screens and possibly more devices may help focus one’s attention rather than serve as a distraction, making multiple tasks viewable at a glance across multiple device screens (Thompson, 2014). The finding of a performance and usability advantage of the dual monitors in condition B is consistent with previous studies (Anderson et al., 2004; Poder et al., 2011; Russell & Wong, 2005). A key difference in our study is that we provided a tablet computer in addition to the dual monitors. However, the debrief interviews were mixed as to the usefulness of the third screen provided by the tablet; some participants thought it was not helpful whereas other did find it useful. The complete lack of performance, workload, and usability differences between condition C (single monitor and two tablet computers) and condition A (single monitor) does not support the notion that a multiscreen environment can help focus one’s attention. Indeed, some participants noted that using multiple screens provided by the tablet computer(s) was distracting. Others noted that while they did not hinder their tasks, they did not help. Based on these results, we recommend a computing work environment with dual screen monitors, with an optional tablet computer, for complex and information-rich computing tasks.

Conditional limit theorems for a left-continuous random walk

1973 ◽  
Vol 10 (01) ◽  
pp. 39-53 ◽  
Author(s):  
A. G. Pakes
Keyword(s):  
Random Walk ◽  
Limit Theorems ◽  
Absorbing State ◽  
Conditional Limit Theorems ◽  
Recurrent Markov Chain ◽  
Continuous Random Walk ◽  
Condition C ◽  
Positive Recurrent ◽  
Positive Integers ◽  
Conditional Limit

The present work considers a left-continuous random walk moving on the positive integers and having an absorbing state at the origin. Limit theorems are derived for the position of the walk at time n given: (a) absorption does not occur until after n, or (b) absorption does not occur until after m + n where m is very large, or (c) absorption occurs at m + n. A limit theorem is given for an R-positive recurrent Markov chain on the non-negative integers with an absorbing origin and subject to condition (c) above.

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