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Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function

Dejan Brkić, Pavel Praks
2018 Mathematics  
The purpose of this study is to find an accurate and computationally efficient solution based on the shifted Lambert W-function also known as the Wright ω-function.  ...  The Wright ω-function is more suitable because it overcomes the problem with the overflow error by switching the fast growing term, y=W(ex), of the Lambert W-function to series expansions that further  ...  [15] , the Wright ω-function was studied implicitly, without being named, by Wright [24] , and named and defined by Corless and Jeffrey [25] .  ... 
doi:10.3390/math7010034 fatcat:dkwvsvidkzf75lbfie7fjgdq4y

Omega-3 in SLE: a double-blind, placebo-controlled randomized clinical trial of endothelial dysfunction and disease activity in systemic lupus erythematosus

Kayode J. Bello, Hong Fang, Parastoo Fazeli, Waleed Bolad, Mary Corretti, Laurence S. Magder, Michelle Petri
2013 Rheumatology International  
We performed a randomized, double-blind placebo-controlled trial to examine the effect of Omega-3 on endothelial function, disease activity, inflammatory markers and lipids in SLE.  ...  Omega-3 has been reported to have benefit for endothelial dysfunction, one of the earliest stages of atherosclerosis, and to reduce disease activity in SLE.  ...  Acknowledgments Supported by NIAMS AR43727, the Stabler/ P30/P30 and the Johns Hopkins University School of Medicine General Clinical Research Center ULIRR025005.  ... 
doi:10.1007/s00296-013-2811-3 pmid:23817872 pmcid:PMC3805738 fatcat:txqlbmyj7nfhrllgujrjct4bd4

Beyond Antipsychotics: Pharmacologically-Augmented Cognitive Therapies (PACTs) for Schizophrenia

Neal R Swerdlow
2011 Neuropsychopharmacology  
with functional improvement, we tested if the subjects with the lowest erythrocyte omega-3 levels at baseline were at higher risk for transitioning to psychosis.  ...  The finding is consistent with the well-established finding of white matter abnormalities in schizophrenia (Ellison-Wright and Bullmore, 2009).  ... 
doi:10.1038/npp.2011.195 pmid:22157876 pmcid:PMC3238077 fatcat:wtt3xhzsmvg5xa7yod6popd2mq

An analytical test case for dust dynamics during a shock-wave passage [article]

Lars Mattsson
2016 arXiv   pre-print
equation, which is satisfied by the Wright omega function.  ...  Then, adopting a constant stopping time for the dust particles in the dust fluid (mono-dispersed grain sizes), the equation of motion for the dust fluid can be transformed into a simple ordinary differential  ...  Acknowledgments The author wishes to thank Dhrubaditya Mitra for stimulating and enlightening discussions on the dynamics of particles in a fluid flow.  ... 
arXiv:1611.10178v1 fatcat:lhgrsczdbjdkva4yd366xuzbsa

An Analytical Test Case For Dust Dynamics During A Shock-Wave Passage

Lars Mattsson
2016 Zenodo  
equation, which is satisfied by the Wright omega function.  ...  Then, adopting a constant stopping time for the dust particles in the dust fluid (mono-dispersed grain sizes), the equation of motion for the dust fluid can be transformed into a simple ordinary differential  ...  Acknowledgments The author wishes to thank Dhrubaditya Mitra for stimulating and enlightening discussions on the dynamics of particles in a uid ow.  ... 
doi:10.5281/zenodo.61415 fatcat:ueyato3pkzdzhjoruwnebgwf7e

Page 393 of Functional Ecology Vol. 15, Issue 3 [page]

2001 Functional Ecology  
Confidence intervals were calculated by bootstrapping (see Methods). * = The sample size is the number in parentheses in the n column, ND = not determined © 2001 British Ecological Society, Functional  ...  .), “omega factor (Omega), and photosynthetic water-use efficiency (WUE) Month/ n Air T° Ppt. NEE 2, ¢. year (days) CC) (mm) (mmol m?  ... 

The Wright ω Function [chapter]

Robert M. Corless, D. J. Jeffrey
2002 Lecture Notes in Computer Science  
This paper defines the Wright ω function, and presents some of its properties.  ...  In particular, although Wright ω is a cognate of the Lambert W function, it presents a different model for handling the branches and multiple values that make the properties of W difficult to work with  ...  John Wright (Reading & Oxford), and his father Sir Edward Maitland Wright, for permission to use a picture of Sir Edward on the poster of the Lambert W function.  ... 
doi:10.1007/3-540-45470-5_10 fatcat:bs2fzcvolfg47le6a6ou67264m

Cardiovascular reflex responses after intrathecal omega-conotoxins or dexmedetomidine in the rabbit

Duncan W Blake, Christine E Wright, David A Scott, James A Angus
2003 Clinical and Experimental Pharmacology and Physiology  
Anaestl 2001: 86 2000: 18 65 JA, Wright Cl tration of omega-conotoxin GVIA on cardiovascular param nh CONSCIOUS rabbits IP.  ...  Pharmacol. 2000 131: 1325-36 Wright CE, Angus JA. Prolonged cardiovascular effects of the N-type Ca** channel antagonist omega-conotoxin GVIA in conscious rabbits J. Cardiovasc.  ... 
doi:10.1046/j.1440-1681.2003.03795.x pmid:12542459 fatcat:frntnmowcbhpzgniwbmcxxucxm

Siewert solutions of transcendental equations, generalized Lambert functions and physical applications [article]

Victor Barsan
2017 arXiv   pre-print
In two cases, the asymptotic form of Siewert's solutions are written as Wright omega functions.  ...  Some of them are expressed in terms of the generalized Lambert functions, recently studied by Mez\"o, Baricz and Mugnaini. For some others, precise analytical approximations are obtained.  ...  The Wright omega function The Wright omega function appears in the asymptotic form of two equations solved by Siewert and his co-workers.  ... 
arXiv:1703.10052v1 fatcat:cixzcosvxjayxftjpph46ynubm

The April Meeting of the Ohio Section

Foster Brooks
1953 The American mathematical monthly  
Omega is a proposition of mutation, splintering omega products of the form (a-c)(b-c) into the sum of two prototypes: (a-b)(b-c) = (a:b + 6:d)/2, where bis called the mutate of a.  ...  sin x and especially when the complementary function contains the right hand member. 6. On the continuous solutions of a certain functional equation, by Dr. R. F. Reeves, Ohio State University.  ... 
doi:10.1080/00029890.1953.11988343 fatcat:pf3t74rgl5ewpec7frd275bosa

Polyunsaturated omega-3 fatty acids and systemic lupus erythematosus: what do we know?

Mariane Curado Borges, Fabiana de Miranda Moura Santos, Rosa Weiss Telles, Maria Isabel Toulson Davisson Correia, Cristina Costa Duarte Lanna
2014 Revista Brasileira de Reumatologia (English Edition)  
There were 43 articles related to the topic, however only 15 pertained human studies, with three review articles and 12 clinical studies.  ...  r e v b r a s r e u m a t o l . 2 0 1 4;5 4(6):459-466 REVISTA BRASILEIRA DE REUMATOLOGIA w w w . r e u m a t o l o g i a . c o m . b r : lupus erythematous (SLE), polyunsaturated fatty acids omega-3,  ...  On the other hand, when immune parameters were evaluated, no significant differences were found in anti-DNA and serum complement values after omega-3 treatment. 21 Wright et al. (2008) compared the effects  ... 
doi:10.1016/j.rbre.2013.12.002 fatcat:2t4tk6mcizednduh27pfgrs4he

The major component in schistosome eggs responsible for conditioning dendritic cells for Th2 polarization is a T2 ribonuclease (omega-1)

Svenja Steinfelder, John F. Andersen, Jennifer L. Cannons, Carl G. Feng, Manju Joshi, Dennis Dwyer, Pat Caspar, Pamela L. Schwartzberg, Alan Sher, Dragana Jankovic
2009 Journal of Experimental Medicine  
Using an in vitro bystander polarization assay as the readout, we purified and identified the major Th2-inducing component from soluble egg extract (SEA) as the secreted T2 ribonuclease, omega-1.  ...  Based on this evidence, we hypothesize that S. mansoni omega-1 acts by limiting the interaction of DCs with CD4 + T lymphocytes, thereby lowering the strength of the activation signal delivered.  ...  Haas for the gifts of mAb 140-E311 and omega-1-depleted SEA, and Drs. T. Nutman and T. Wynn for critical reading of the manuscript.  ... 
doi:10.1084/jem.20082462 pmid:19635859 pmcid:PMC2722182 fatcat:cjs3azbcwjan7hgcaklw2pdnbm

Comparison of thrombocyte counts during the post-oral administration of aspirin and the Holothuria scabra ethanol extract in Wistar rats (Rattus norvegicus)

Dian Mulawarmanti, Rima Parwati Sari
2020 Dental Journal: Majalah Kedokteran Gigi  
Holothuria scabra (H. scabra) are mostly echinodermata and have been studied in Indonesia; they contain omega-3 and glycosaminoglycans, with an influence of an antithrombotic drug.  ...  The rats' blood was taken on the eighth day. The amount of thrombocyte was measured using Wright's stain methods.  ...  The Wright smear procedure was performed by dripping the Wright solution onto the preparation until all smears were inundated.  ... 
doi:10.20473/j.djmkg.v53.i2.p111-114 fatcat:nj7vf3usy5ejjkfbrurdlmwndq

Update on Omega-3 Polyunsaturated Fatty Acids in Early-Stage Psychotic Disorders

G Paul Amminger, Patrick D McGorry
2011 Neuropsychopharmacology  
with functional improvement, we tested if the subjects with the lowest erythrocyte omega-3 levels at baseline were at higher risk for transitioning to psychosis.  ...  The finding is consistent with the well-established finding of white matter abnormalities in schizophrenia (Ellison-Wright and Bullmore, 2009) .  ... 
doi:10.1038/npp.2011.187 pmid:22157875 pmcid:PMC3238074 fatcat:fm6wgfnluzft3ohkcsq6x5u2im

The effect of alpha-linolenic acid supplementation on ADHD symptoms in children: a randomized controlled double-blind study

Gal Dubnov-Raz, Zaher Khoury, Ilana Wright, Raanan Raz, Itai Berger
2014 Frontiers in Human Neuroscience  
Your story matters Citation Dubnov-Raz, Gal, Zaher Khoury, Ilana Wright, Raanan Raz, and Itai Berger. 2014.  ...  The Harvard community has made this article openly available. Please share how this access benefits you.  ...  Ilana Wright and Itai Berger contributed to study design, conductance, and data analysis. Raanan Raz contributed to study design and data analysis.  ... 
doi:10.3389/fnhum.2014.00780 pmid:25339885 pmcid:PMC4188038 fatcat:tief5qgr6nettnx4iijvbwjmui
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