Relevant bibliographies by topics / Erd{\H o}s-Rademacher problem

Academic literature on the topic 'Erd{\H o}s-Rademacher problem'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Erd{\H o}s-Rademacher problem"

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Bandura, A. I., T. M. Salo, and O. B. Skaskiv. "Erdős-Macintyre type theorem’s for multiple Dirichlet series: exceptional sets and open problems." Matematychni Studii 58, no. 2 (January 23, 2023): 212–21. http://dx.doi.org/10.30970/ms.58.2.212-221.

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In the paper, we formulate some open problems related to the best description of the values of the exceptional sets in Wiman's inequality for entire functions and in the Erd\H{o}s-Macintyre type theorems for entire multiple Dirichlet series. At the same time, we clarify the statement of one \v{I}.V. Ostrovskii problem on Wiman's inequality. We also prove three propositions and one theorem. On the one hand, in a rather special case, these results give the best possible description of the values of the exceptional set in the Erd\H{o}s-Macintyre-type theorem. On the second hand, they indicate the possible structure of the best possible description in the general case.
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Yin, Jianhua, and Guangming Li. "A note on the potential function of an arbitrary graph H." Filomat 34, no. 11 (2020): 3759–66. http://dx.doi.org/10.2298/fil2011759y.

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Given a graph H, a graphic sequence ? is potentially H-graphic if there is a realization of ? containing H as a subgraph. In 1991, Erd?s et al. introduced the following problem: determine the minimum even integer ?(H,n) such that each n-term graphic sequence with sum at least ?(H,n) is potentially H-graphic. This problem can be viewed as a ?potential? degree sequence relaxation of the Tur?n problems. Let H be an arbitrary graph of order k. Ferrara et al. [Combinatorica, 36(2016)687-702] established an upper bound on ?(H,n): if ? = ?(n) is an increasing function that tends to infinity with n, then there exists an N = N(?,H) such that ?(H,n)? ?~(H)n + ?(n) for any n ? N, where ?~(H) is a parameter only depending on the graph H. Recently, Yin [European J. Combin., 85(2020)103061] obtained a new upper bound on ?(H,n): there exists an M = M(k,?(H)) such that ?(H,n) ? ?~(H)n + k2-3k+4 for any n ? M. In this paper, we investigate the precise behavior of ?(H,n) for arbitrary H with ?~?(H)+1(H < ?~(H) or??(H)+1(H) ? 2, where ??(H)+1(H) = min{?F)|F is an induced subgraph of H and |V(F)|= ?(H) + 1} and ?~?(H)+1(H) = 2(k-?(H)-1)+??(H)+1(H)-1. Moreover, we also show that ?(H,n) = (k-?(H)-1)(2n-k+?(H))+2 for those H so that ??(H)+1(H) = 1,?~?(H)+1(H)=~?~(H),?~p(H) < ?~(H) for ?(H) + 2 ? p ? k and there is an F < H with |V(F)| = ?(H) + 1 and ?(F) = (12,0?(H)-1).
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Padhi, Seshadev, John R. Graef, and Smita Pati. "Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions." Fractional Calculus and Applied Analysis 21, no. 3 (June 26, 2018): 716–45. http://dx.doi.org/10.1515/fca-2018-0038.

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Abstract In this paper, we study the existence of positive solutions to the fractional boundary value problem $$\begin{array}{} \displaystyle D^{\alpha }_{0+}x(t)+q(t)f(t,x(t))=0, \,\, 0\lt t \lt1, \end{array}$$ together with the boundary conditions $$\begin{array}{} \displaystyle x(0)=x^{\prime}(0)= \cdots = x^{(n-2)}(0)=0, D_{0+}^{\beta }x(1)= \int^{1}_{0}h(s,x(s))\,dA(s), \end{array}$$ where n > 2, n – 1 < α ≤ n, β ∈ [1,α – 1], and $\begin{array}{} \displaystyle D^{\alpha }_{0+} \end{array}$ and $\begin{array}{} \displaystyle D^{\beta }_{0+} \end{array}$ are the standard Riemann-Liouville fractional derivatives of order α and β, respectively. We consider two different cases: f, h : [0, 1] × R → R, and f, h : [0, 1] × [0, ∞) → [0, ∞). In the first case, we prove the existence and uniqueness of the solutions of the above problem, and in the second case, we obtain sufficient conditions for the existence of positive solutions of the above problem. We apply a number of different techniques to obtain our results including Schauder’s fixed point theorem, the Leray-Schauder alternative, Krasnosel’skii’s cone expansion and compression theorem, and the Avery-Peterson fixed point theorem. The generality of the Riemann-Stieltjes boundary condition includes many problems studied in the literature. Examples are included to illustrate our findings.
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Kanas, Stanisława, Vali Soltani Masih, and Ali Ebadian. "Coefficients problems for families of holomorphic functions related to hyperbola." Mathematica Slovaca 70, no. 3 (June 25, 2020): 605–16. http://dx.doi.org/10.1515/ms-2017-0375.

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AbstractWe consider a family of analytic and normalized functions that are related to the domains ℍ(s), with a right branch of a hyperbolas H(s) as a boundary. The hyperbola H(s) is given by the relation $\begin{array}{} \frac{1}{\rho}=\left( 2\cos\frac{\varphi}{s}\right)^s\quad (0 \lt s\le 1,\, |\varphi| \lt (\pi s)/2). \end{array}$ We mainly study a coefficient problem of the families of functions for which zf′/f or 1 + zf″/f′ map the unit disk onto a subset of ℍ(s) . We find coefficients bounds, solve Fekete-Szegö problem and estimate the Hankel determinant.
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Bartolo, Rossella, Pablo L. De Nápoli, and Addolorata Salvatore. "Infinitely many solutions for non-local problems with broken symmetry." Advances in Nonlinear Analysis 7, no. 3 (August 1, 2018): 353–64. http://dx.doi.org/10.1515/anona-2016-0106.

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AbstractThe aim of this paper is to investigate the existence of solutions of the non-local elliptic problem\left\{\begin{aligned} &\displaystyle(-\Delta)^{s}u\ =\lvert u\rvert^{p-2}u+h(% x)&&\displaystyle\text{in }\Omega,\\ &\displaystyle{u=0}&&\displaystyle\text{on }\mathbb{R}^{n}\setminus\Omega,\end% {aligned}\right.where {s\in(0,1)}, {n>2s}, Ω is an open bounded domain of {\mathbb{R}^{n}} with Lipschitz boundary {\partial\Omega}, {(-\Delta)^{s}} is the non-local Laplacian operator, {2<p<2_{s}^{\ast}} and {h\in L^{2}(\Omega)}. This problem requires the study of the eigenvalue problem related to the fractional Laplace operator, with or without potential.
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Zhao, Xiangqing, and Zhiwei Lv. "Well-posedness of initial value problem of Hirota-Satsuma system in low regularity Sobolev space." AIMS Mathematics 7, no. 4 (2022): 6702–10. http://dx.doi.org/10.3934/math.2022374.

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<abstract><p>In this paper, we study the initial value problem of Hirota-Satsuma system:</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation} \notag \left\{ \begin{array}{ll} u_t-\alpha(u_{xxx}+6uu_x) = 2\beta vv_x, &amp; \ x\in {\mathbb{R}}, \ t\ge 0, \\ v_t+v_{xxx}+3uv_x = 0, &amp; x\in {\mathbb{R}}, \ t\ge 0, \\ u(0, x) = \phi(x), \; \; v(0, x) = \psi(x), &amp; x\in {\mathbb{R}}, \end{array} \right. \end{equation} $\end{document} </tex-math></disp-formula></p> <p>where $ \alpha\in {\mathbb{R}} $, $ \beta\in {\mathbb{R}} $; $ u = u(x, t) $, $ v = v(x, t) $ are real functions. Aided by Fourier restrict norm method, we show that $ \forall s &gt; -\frac 18 $ initial value problem (0.1) is locally well-posed in $ H^s({\mathbb{R}})\times H^{s+1}({\mathbb{R}}) $ which improved the results of <sup>[<xref ref-type="bibr" rid="b7">7</xref>]</sup>.</p></abstract>
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Son, Byungjae, and Inbo Sim. "Analysis of positive solutions to one-dimensional generalized double phase problems." Advances in Nonlinear Analysis 11, no. 1 (January 1, 2022): 1365–82. http://dx.doi.org/10.1515/anona-2022-0240.

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Abstract We study positive solutions to the one-dimensional generalized double phase problems of the form: − ( a ( t ) φ p ( u ′ ) + b ( t ) φ q ( u ′ ) ) ′ = λ h ( t ) f ( u ) , t ∈ ( 0 , 1 ) , u ( 0 ) = 0 = u ( 1 ) , \left\{\begin{array}{l}-(a\left(t){\varphi }_{p}\left(u^{\prime} )+b\left(t){\varphi }_{q}\left(u^{\prime} ))^{\prime} =\lambda h\left(t)f\left(u),\hspace{1em}t\in \left(0,1),\\ u\left(0)=0=u\left(1),\end{array}\right. where 1 < p < q < ∞ 1\lt p\lt q\lt \infty , φ m ( s ) ≔ ∣ s ∣ m − 2 s {\varphi }_{m}\left(s):= | s{| }^{m-2}s , a , b ∈ C ( [ 0 , 1 ] , [ 0 , ∞ ) ) a,b\in C\left(\left[0,1],{[}0,\infty )) , h ∈ L 1 ( ( 0 , 1 ) , ( 0 , ∞ ) ) ∩ C ( ( 0 , 1 ) , ( 0 , ∞ ) ) , h\in {L}^{1}\left(\left(0,1),\left(0,\infty ))\cap C\left(\left(0,1),\left(0,\infty )), and f ∈ C ( [ 0 , ∞ ) , R ) f\in C\left({[}0,\infty ),{\mathbb{R}}) is nondecreasing. More precisely, we show various existence results including the existence of at least two or three positive solutions according to the behaviors of f ( s ) f\left(s) near zero and infinity. Both positone (i.e., f ( 0 ) ≥ 0 f\left(0)\ge 0 ) and semipositone (i.e., f ( 0 ) < 0 f\left(0)\lt 0 ) problems are considered, and the results are obtained through the Krasnoselskii-type fixed point theorem. We also apply these results to show the existence of positive radial solutions for high-dimensional generalized double phase problems on the exterior of a ball.
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Tang, Xianhua, and Sitong Chen. "Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions." Advances in Nonlinear Analysis 9, no. 1 (June 1, 2019): 413–37. http://dx.doi.org/10.1515/anona-2020-0007.

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Abstract In the present paper, we consider the following singularly perturbed problem: $$\begin{array}{} \displaystyle \left\{ \begin{array}{ll} -\varepsilon^2\triangle u+V(x)u=\varepsilon^{-\alpha}(I_{\alpha}*F(u))f(u), & x\in \mathbb{R}^N; \\ u\in H^1(\mathbb{R}^N), \end{array} \right. \end{array}$$ where ε > 0 is a parameter, N ≥ 3, α ∈ (0, N), F(t) = $\begin{array}{} \int_{0}^{t} \end{array}$f(s)ds and Iα : ℝN → ℝ is the Riesz potential. By introducing some new tricks, we prove that the above problem admits a semiclassical ground state solution (ε ∈ (0, ε0)) and a ground state solution (ε = 1) under the general “Berestycki-Lions assumptions” on the nonlinearity f which are almost necessary, as well as some weak assumptions on the potential V. When ε = 1, our results generalize and improve the ones in [V. Moroz, J. Van Schaftingen, T. Am. Math. Soc. 367 (2015) 6557-6579] and [H. Berestycki, P.L. Lions, Arch. Rational Mech. Anal. 82 (1983) 313-345] and some other related literature. In particular, we propose a new approach to recover the compactness for a (PS)-sequence, and our approach is useful for many similar problems.
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Giacomoni, Jacques, Tuhina Mukherjee, and Konijeti Sreenadh. "Existence of Three Positive Solutions for a Nonlocal Singular Dirichlet Boundary Problem." Advanced Nonlinear Studies 19, no. 2 (May 1, 2019): 333–52. http://dx.doi.org/10.1515/ans-2018-0011.

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AbstractIn this article, we prove the existence of at least three positive solutions for the following nonlocal singular problem:\left\{\begin{aligned} \displaystyle(-\Delta)^{s}u&\displaystyle=\lambda\frac{% f(u)}{u^{q}},&&\displaystyle u>0\text{ in }\Omega,\\ \displaystyle u&\displaystyle=0&&\displaystyle\phantom{}\text{in }\mathbb{R}^{% n}\setminus\Omega,\end{aligned}\right.where {(-\Delta)^{s}} denotes the fractional Laplace operator for {s\in(0,1)}, {n>2s}, {q\in(0,1)}, {\lambda>0} and Ω is a smooth bounded domain in {\mathbb{R}^{n}}. Here {f:[0,\infty)\to[0,\infty)} is a continuous nondecreasing map satisfying\lim_{u\to\infty}\frac{f(u)}{u^{q+1}}=0.We show that under certain additional assumptions on f, the above problem possesses at least three distinct solutions for a certain range of λ. We use the method of sub-supersolutions and a critical point theorem by Amann [H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 1976, 4, 620–709] to prove our results. Moreover, we prove a new existence result for a suitable infinite semipositone nonlocal problem which played a crucial role to obtain our main result and is of independent interest.
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Larsson, Mats. "Dissociative recombination of H 3 + : 10 years in retrospect." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1978 (November 13, 2012): 5118–29. http://dx.doi.org/10.1098/rsta.2012.0020.

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The dissociative recombination of has been an intriguing problem for more than half a century. The early experiments on during the first 20 years were carried out without mass analysis in decaying plasma afterglows, and thus the measured rates pertained to an uncontrolled mixture of and impurity ions. When mass analysis was used, the rate coefficient was determined to be an uneventful value of about 10 −7 cm 3 s −1 , a very common rate coefficient for many molecular ions. But this was not the end of the story, not even the beginning of the end; it marked only the end of the beginning. The story I will tell in this article started about 10 years ago, when the dissociative recombination of was approaching its deepest crisis. Today, owing to an extensive experimental and theoretical effort, the state of affairs has reached a historically unique level of harmony, although there still remains many things to sort out.
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Book chapters on the topic "Erd{\H o}s-Rademacher problem"

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"Problem solving involves accurately: (a) seeing that there is a problem; (b) deciding what type of problem it is (which determines much about the eventual solution); (c) presenting (a) solution(s) to the problem. What needs to be grasped immediately is that solutions are the end product of a series of complicated interrelated operations. Teenage alcoholism, as a problem, is viewed very differently according to whether one is: (a) a teenager who drinks moderately, heavily, or not at all; (b) a police officer; (c) a legislator; (d) a parent of a teenage alcoholic; (e) a parent of a teenager who drinks illegally but within their limits; (f) a parent of a teenager who does not drink; (g) a teacher; (h) a youth worker; (i) a seller of alcohol; (j) a member of the medical profession; (k) a social worker; (l) a counsellor. In many disciplines, professionals use problem solving models which enable users to check certain steps along the road to eventual solution. One of the best known and most useful problem solving methods within legal education is the model devised by Twining and Miers (1991), replicated in Twining and Miers (1999). Seven steps from identification through diagnosis, prescription and implementation aimed at solution are given as follows. 7.6.1 Problem solving model (1) CLARIFICATION of individual’s standpoint, role, objectives, general position; (2) PERCEPTION by individual of the facts constituting the situation; (3) EVALUATION of one or more of the elements making the situation undesirable, obstructive, bad…in other words, ‘what’s the problem?’; (4) IDENTIFICATION of a range of possible solutions to the perceived problem; (5) PREDICTION of: (a) the cost of each option; (b) obstacles associated with each option; (6) PRESCRIPTION choosing a solution to the problem; the construction of an effective policy for solving the problem; (7) IMPLEMENTATION of that policy." In Legal Method and Reasoning, 222. Routledge-Cavendish, 2012. http://dx.doi.org/10.4324/9781843145103-167.

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"T cu im rre e n tl Sycahleeasd ) qu aas rte wreeldlaatst he thLeammounltt -i D na oth io e n rt aylEIaR rt I h , odtrhoeurgm ht ajporrem di ocd ti eolnprw ob il llem re s q . u T ir hee the resolution of hOabvseearnva im to p ry o rt oafntCcooluupm le bdiamoUdneilvecrosm ity p . onTehnet, sea lt ehfo fo urgthsp ex hteernes , io onntaogfloorbeaclasdto in mga , in boatnhdth th eseeaorcee dva saonlnacn es diantcm lu odse ­ m in acn lu ydeodf ( t C he a rs toyn pe 1s9o 98 f ) m . ethods discussed above are uomciesamnatacnhdbaettmwoesepnhtehree . fl Fuo xe rsmaatntyhearbeoaus, n d th atr io ie nsoofftthhee rep F li o ca rtE in NgSaOn , d c , ur in re nstom co eupclaesdesm , oidmep ls roav re in cgapoanb le thoefo of frtehaelsie st iwcillalnrde -q suuirrfeacse ig coupling may be ess eenatd ia dli . tiA on ll tshue cc ecsusrroefnetmgpein ri ecraalt / isotn at i o st ficcaolumpe le th dom ds o . dFeo ls rirnesptlain ca ctee , a model parameterisatio nificant improvements in the SST anomaly patterns in the equatorial Pacific that th ry elraeyqeu rs ir , ecd lo m ud osd , erlad im inasp ti oonf , saun rf dacceonpv ro ecce ti sosn es, bound­ have many characteristics in common with observed to a quick solution, but, ro g v iv eemnetnhtesiam re p o li rktealny . N to onye ie o ld flEeN ss SsO uc cceosm sf puolsiin te tsh . eCm ur orreentdim ffi ocduelltspa ro re blceomnso id ferreapblliy ­ imp Iatcsthoofud ld ronuogthbte , they are worth pursuing. ce of the p ca hteirnigcc th ir ecuslpae ti c o if n ic peav tt oelruntsioinnoafgtihve en SESNTSaOndepaitsm od oes . ­ tehxe prospects for im forgotten, however, that not all of However, it is precisely this problem that must be no ctlufsuilv ly eluynodnersse ta a n so pnraolvteidmde ro sc uag le hst . p A re l dictions reside solved. Just as the ‘average’ daily weather is rarely of climate variabilit d y , th th eem re u l is ti aanmnpulaelteo th doeucgahdawles ca dloeo ce bpsteuravleda , idthteo ‘ ucnadneornsitcaanl’ diEnNgS th Oan id aeauissefm ul orceonastcroun ct ­ e2x .1 is c t ) e nc aend -e th .g e . , sien the time series o vidence for its for prediction. To reach their full potential, coupled distributions of rai cnuflaalrl ( cFhiagnugrees2i . n2ftrhae in f p al rlob (F ab ig il uir ty eim nd oidveildsun al eepdas to t E be N S ab O le etpoisroedpe li scaa te ndt he th eeivroleuv ti ooln vi nogfnoefw co duep velopments in data an ). Very recently, extratropical atmospheric and ocean interactions. There is lesdommeoedveildsehnacveeosftd ar etaeld ys t is oaonpdeinn the accuracy The most optimistic expectation is that once that may have a somewhat c ad d a if lfv er aern ia t t io unpstihnisEN fie S ld O . cEoNuSpO le , d th m ey odw el i s ll bheavaeb le cotnoqhueelrped id etnhtei fy chaanld le npg re edio ct ftmheeasiun red by the ocean s character, as other modes of climate variability. This may include Zhang te ertananl. ua1l99 ti 7 m , eFoslc la al neusr fa ( cKeleteemmapne ra et tures, from links between ENSO and the climate system not yet are now beginning to fin ddeatanlu . m1b9e9r8 ) o . M al. od1e9 ll 9e6 rs , m dis ocdoevlesremdaiyntahiediimnpienrv fe ecsttiogbaste io rv nast io onfaplodsastiab . lIemcplriomvaetdem ab e il cih ty anoin sm th seinde th ca edN al otrothmaun lt d i tropic f potential modes that link ocean basins, such as ENSO-and Barnett 1996). There is adlescoad ev aalltiPm ac eifsiccaf le o r ( vari­ related variations of SST in the tropical North Atlantic, ENSO links to rainfall may come an id dengcoed th ep aetnsLoam ti e f rece In n tl aydddiistc io u n ss etdoboycE ea n n fi -e altdmaonsdphMea re y er c o ( u1p9l9 in 7 g ). , new nointutdheeo se fcE ul N ar S O va riitas bility in the str ding generations of models need to include realistic land-southern Europe (R eolpfe -le wes .g k . i , a in ndneonrg Ha th th lp e e rn an dAfm ri acga/ ­ rae tm ali oss ti pchm er oedeclosuopflitnhge . la Snudch su rifm ac peroavnedmie ts ntvsegientvao ti lovneaThheeadp , r m ed aiyctaalbsio lity of ENS rt 1987). and adequate descriptions based on observed data of in Northern Hevm ar iyspohnerdeecOa sp d , rail on ntgiem ( e to s Ba c a ls a a le fse , w e sp se eacs ia oln ly strheep re isne it nitaal tio ve nge in ta t m io ondesltsa te is . c W ur orrekn tl oynbleainndg -s m ur afiancleym 19 e9a5n ) s . (i I . n e ., additio meda et al. driven by the development of coupled models for over several cdheacnagdenes , sis ) n ec a th u lso e la r ‘ itvnyfpairciaalbio li rty in the climate climate change projection over the next century conditional ENSO probability l u fo ernecceassetsxsi . m pe Fpcolteeds ’ e values (Dickinson et al. 1996). the Gulf Coast of the United States shows reaxaam sonal Significant advances in coupled model-based ENSO signal for both the first and second half s o tro p n le, f th g e." In Droughts, 65. Routledge, 2016. http://dx.doi.org/10.4324/9781315830896-45.

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"LT: Yes, I think so. You move between and among all those different states. In a way desire, libido, that sort of drive, that energy— without it you probably wouldn’t do anything. But when you have it, when you’re experiencing it very, very strongly, so that it’s pushing you in all sorts of ways, you’re also at its mercy. You can feel content, maybe, in the moment when you’re not feeling that, but you’re also in a static state. You may have a period of equilibrium but you’re always going to head toward a state of disequilibrium. PN: There are several moments in Cast in Doubt where Horace finds himself ‘without or separate from desire’; ‘Indeed I felt blank’, he says (C, 141). LT: Yes—a desire not to desire. I’m working on a story now in which a woman likes to watch pornography. But to say ‘I like this’, or to say ‘I want to see this’, means that those things are not in her life. That’s the implication. That’s why nobody wants to be caught wanting. We’re filled with desires, but you’re not supposed to say that you have them. Because if you have them, it means that you’re lacking. At the ICA panel on Straight Sex, Lynne Segal in November talked about female heterosexual agency in so-called straight sex that everybody agrees is not so straight. Later all I could think about was that implied in the term ‘I desire’ is its own negation, a negation of agency. If you desire then you have a problem. But you can always say, ‘I wanted him and I got him.’ PN: But he wasn’t good enough! LT: Then I wanted someone else! PN: Can we go back to your first book, Haunted Houses? I gather the title comes from a passage in H.D.’s Tribute to Freud where she says that ‘We are all haunted houses.’ At the end of the novel that haunting is described as ‘A bad feeling that someone or something is never going to let you alone’ (H, 206). What kind of someone or something were you trying to get at in this novel? LT: I guess it’s a question of personal history, psychological history, of one’s family, which never leaves you alone. The idea that you can be completely free of that is bogus. Moving from personal history into public history, your present is always inflected by your past. I believe one can move, with a lot of psychological work, further away from the neurosis of the family, but perhaps never completely. PN: There’s certainly a lot of interest in this first book in forms of recollection and repetition. The young women in the novel fear they will repeat the lives of their mothers, and it’s as if the." In Textual Practice, 53. Routledge, 2005. http://dx.doi.org/10.4324/9780203986219-19.

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Conference papers on the topic "Erd{\H o}s-Rademacher problem"

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Cavalar, Bruno Pasqualotto, and Yoshiharu Kohayakawa. "Sunflower Theorems in Monotone Circuit Complexity." In Concurso de Teses e Dissertações da SBC. Sociedade Brasileira de Computação, 2021. http://dx.doi.org/10.5753/ctd.2021.15761.

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Alexander Razborov (1985) developed the approximation method to obtain lower bounds on the size of monotone circuits deciding if a graph contains a clique. Given a "small" circuit, this technique consists in finding a monotone Boolean function which approximates the circuit in a distribution of interest, but makes computation errors in that same distribution. To prove that such a function is indeed a good approximation, Razborov used the sunflower lemma of Erd\H{o}s and Rado (1960). This technique was improved by Alon and Boppana (1987) to show lower bounds for a larger class of monotone computational problems. In that same work, the authors also improved the result of Razborov for the clique problem, using a relaxed variant of sunflowers. More recently, Rossman (2010) developed another variant of sunflowers, now called "robust sunflowers", to obtain lower bounds for the clique problem in random graphs. In the following years, the concept of robust sunflowers found applications in many areas of computational complexity, such as DNF sparsification, randomness extractors and lifting theorems. Even more recent was the breakthrough result of Alweiss, Lovett, Wu and Zhang (2020), which improved Rossman's bound on the size of hypergraphs without robust sunflowers. This result was employed to obtain a significant progress on the sunflower conjecture. In this work, we will show how the recent progress in sunflower theorems can be applied to improve monotone circuit lower bounds. In particular, we will show the best monotone circuit lower bound obtained up to now, breaking a 20-year old record of Harnik and Raz (2000). We will also improve the lower bound of Alon and Boppana for the clique function in a slightly more restricted range of clique sizes. Our exposition is self-contained. These results were obtained in a collaboration with Benjamin Rossman and Mrinal Kumar.
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Reber, G., Ph de Moerloose, M. Sinclair, A. Schweizer, J. P. Gardaz, and C. A. Bouvier. "LOW MOLECULAR WEIGHT HEPARIN, STANDARD HEPARIN AND ANCR0D AS ANTICOAGULANT FOR EXTRAC0RP0REAL MEMBRANE LUNG CO2 REMOVAL IN DOGS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643086.

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A low molecular weight heparin (LMWH, Sandoz), a standard heparin (SH, LiqueminR) and ancrod (Arvin^)have been compared in an extracorporeal veno-venous bypass for CO2 removal using a membrane lung in dogs. Four animals received 150 anti-FXa U/kg in bolus followed 90 min later by 40 anti-FXa U/kg/h of LMWH and four other 300 IU/kg followed by 100 IU/kg/h of SH. Six dogs received 1 U/Kg of ancrod intravenously during 2 h before bypass started.Mean FXa inhibition was 49% in LMWH group and 29% in SH group, mean FI la inhibition 31% and 49% respectively. No statistically significant differences were found between LMWH and SH groups for any of the parameters measured (fibrinogen, FV, antithrombin III, plasminogen, α 2-anti piasmin, platelet counts). At the end of bypass 5000 U protamine abolished both anti-FXa and anti-FIIa activities in SH group, but failed to neutralize more than half of anti-FXa in LMWH group. In ancrod group no clottable fibrinogen was detectable. A dramatic fall of α2-antiplasmin was observed after ancrod infusion and, during bypass, sharp decreases in FV and platelet counts without significant antithrombin III and plasminogen consumption were noted.No bleeding occurred in any group throughout the seven hours of bypass. The main finding was fibrin deposition in the tubing in three out of four dogs receiving LMWH, whereas no fibrin deposition occurred either in SH or in ancrod group.These results suggest that in this model which involves blood contact with artificial surfaces (1) SH and ancrod are efficient to prevent clotting, but not the LMWH used at the dosage reported (2) high anti-FIIa activities are required to prevent fibrin formation (3) ancrod defibrination does not protect against severe haemostatic disturbances and (4) the use of LMWH may raise problems when emergency neutralisation procedures are required.
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3

Tarawneh, Constantine M., Brent M. Wilson, Kevin D. Cole, Arturo A. Fuentes, and Martin Cardenas. "Dynamic Bearing Testing Aimed at Identifying the Root Cause of Warm Bearing Temperature Trending." In ASME 2008 Rail Transportation Division Fall Technical Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/rtdf2008-74036.

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Bearing temperature trending is an ongoing problem that is receiving considerable attention in the railroad industry. Currently, bearings that display this phenomenon are removed from service since a trended bearing exhibits similar behavior to a burn-off bearing at the end of its life. The removal and replacement of these bearings is a costly process, in addition to causing undesirable time delays. Even though this topic has received ample attention, to date, research efforts have been unable to identify the mechanism(s), or the root cause(s), of this troubling phenomenon. Motivated by the latter, the study presented here focuses on identifying the root cause of the bearing temperature trending seen in service. To this effect, eight laboratory experiments were performed using three bearings that had been removed from service due to temperature trending, along with their mates. Laboratory experiments were performed on a test rig that accommodates four Class F bearings simultaneously rotating at a speed of 536 rpm, which corresponds to a train traveling with a velocity of approximately 57 mph (91.7 km/h). The laboratory study was successful in duplicating the bearing temperature trending phenomenon seen in service, and consequently identifying the main source of this problem. Data presented will include both temperature and vibration profiles measured during normal and trending phases, along with inspection results.
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4

Matthews, R. J., D. S. Anson, I. R. Peake, and A. L. Bloom. "GENE DELETIONS IN THE FACTOR IX LOCUS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643871.

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Previous studies have indicated that the majority of haemophilia B patients who produce anti-factor IX inhibitors (antibodies) have some kind of deletion of the factor IX gene. We have analysed DNA from nine haemophilia B inhibitor patients using the Southern blotting method and hybridisation with (i) factor IX cDNA and intragenomic probes (ii) probes originating from flanking sequences up to 60kb 5' and 170kb 3' to the factor IX gene that have been isolated by gene walking experiments (D.S.Anson and G.G.Brownlee, unpublished observations).Two patients who are brothers (haemophilia B (Chicago I)) were shown to have a presumably identical complex rearrangement of the factor IX gene involving two separate deletions. The first deletion is approx. 5.0kb and removes exon e. The second deletion is between 9 and 29kb and removes exons g and h but leaves exon f intact. An abnormal TaqI fragment at one end of the deletions junctions acted as a marker for the inheritance of haemophilia B in the patients' family. Furthermore, an abnormal llkb Bglll fragment (detected with an intragenomic probe containing exon f) in DNA from both patients and their mother acted as a marker for the presence of both deletions. Since the patients' grandmother only showed the normal 12kb Bgl II fragment then both deletions appear to have arisen at the same time. We believe that haemophilia B (Chicago 1) is the first observation of a natural gene rearrangement involving two separate deletions within the same gene.Patient haemophilia B (Jersey 1) was revealed to have a deletion of at least 170kb including the entire factor IX gene and > 60kb of 5' flanking sequence. The 3' breakpoint of this deletion was mapped to between 80 and 140kb 3' to the factor IX gene. One further patient, haemophilia B (Boston I) was shown to have a deletion of > 230kb including the factor IX gene, > 60kb of 5' flanking sequence and >140kb of 3' flanking sequence. Five other inhibitor patients had a structurally intact gene as detected by this method.Although all nine haemophilia B inhibitor patients studied did not have a detectable plasma factor IX only in four of them is this absence due to a large deletion of the factor IX gene.
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5

van den Berg, E. A., E. Sprengers, M. Jaye, W. Burgess, and V. W. M. van Hinsbergh. "REGULATION OF PLASMINOGEN ACTIVATOR INHIBITOR-1 mRNA IN HUMAN ENDOTHELIAL CELLS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1642856.

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Cultured human endothelial cells (HEC) increase their production of plasminogen activator inhibitor (PAI-1) upon stimulation with endotoxin and IL-1, agents that are known to cause an increase in PAI-1 levels in vivo. In order to study the regulation of PAI-1 synthesis at the mRNA level, we isolated a cDNA clone for the human PAI-1 gene from an endothelial expression cDNA library in λ gt 11 by screening with a PAI-1 specific antibody. Three positive cross-hybridizing clones were isolated. The longest insert (1500 bp) was partially sequenced (1000 bp). The sequence was identical to the PAI-1 sequence recently reported by others. The identity of the cDNA clone was further confirmed by comparison with part of the amino acid sequence of PAI-1. For that purpose t-PA-PAI-1 complex was purified from HEC conditioned medium by immunoadsorption to anti-t-PA IgG, and a suitable peptide was sequenced after comparison of the HPLC elution profiles of CNBr digests of t-PA and t-PA-PAI-1 complex. The amino acid sequence (M)FRQFQADFT completely matches the sequence predicted from the cDNA sequence.By hybridization of the cDNA probe to Northern blots of total cellular RNA from human umbilical vein and artery EC (HUVEC, HUAEC), two transcripts of 2.3 and 3 kb were found. Primary HUAEC, incubated for 18 hours in growth medium, produced considerable although variable levels of PAI-1 activity and contained PAI-1 mRNA levels comparable to those found in subcultured HUAEC. When subcultured HUEC were incubated for 6 h with endotoxin, IL-1 or TNF, a 2-fold increase in PAI-1 mRNA was found with each of these mediators. Stimulation of the cells in the presence of cycloheximide resulted in a further increase of the 3 kb PAI-1 transcript. The 3’ end of this transcript contains a 75 bp AT-rich sequence. Similar 3’ AT-rich sequences have been found in mRNA’s for a number of inflammatory mediators and cellular oncogenes, and in some cases it has been shown that removal of the sequence increased mRNA stability. The influence of cyclohex-imid on the larger PAI-1 transcript might be explained by inhibition of synthesis of a specific nuclease that controls the level of mRNA’s harbouring such an AT rich sequence.
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6

Araujo, Anna Júlia Papa De, Joanna D'arc Luciana De Souza Almeida De Oliveira, and Soraya Solon. "ESTÁGIO EM SAÚDE PÚBLICA: ASSISTÊNCIA FARMACÊUTICA NO TRATAMENTO DE DIABETES." In III Congresso Brasileiro de Ciências Farmacêuticas On-line. Revista Multidisciplinar em Saúde, 2022. http://dx.doi.org/10.51161/conbracif/26.

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Introdução: O estágio obrigatório durante a graduação em farmácia possibilita a vivência da prática profissional em um ambiente supervisionado. A formação para atuação no SUS conta com estágios nos diferentes serviços de saúde pública, incluindo a atenção básica. Nesse campo, o tratamento e monitoramento da diabetes é rotineiro do farmacêutico e dos agentes comunitários de saúde (ACS´s), os quais estão próximos aos pacientes em uma área com diversidade no tratamento, visto que alguns utilizam a caneta Novo Nordisk, enquanto outros utilizam seringas com ampolas de insulina. Objetivo: Esse trabalho objetiva relatar a experiência do estágio em uma Unidade de Saúde da Família (USF) e propor uma reflexão sobre as intervenções relacionadas à distribuição e uso das canetas de insulina oferecidas no sistema de saúde público. Metodologia: O estágio ocorreu no segundo semestre e teve como requisito a disciplina Saúde da Comunidade, correlacionando a prática com a Política Nacional da Atenção Básica. As atividades foram desenvolvidas em 96 h, em uma USF, da periferia de Campo Grande-MS. O trabalho envolveu o diagnóstico do cenário, território de prática e intervenções individuais e coletivas. Realizaram-se visitas domiciliares com ACS’s e atividades na USF nos setores de acolhimento, triagem, gerência, farmácia, vacinas e testes rápidos. As visitas foram direcionadas a pacientes que necessitavam de intervenção farmacêutica de acordo com a percepção dos ACS´s e da farmacêutica preceptora. Resultados: A maioria dos pacientes era idosos, analfabetos ou com dificuldade de leitura, acometidos por diabetes, porém, com problemas na aplicação e armazenamento das canetas de insulina. Em uma visita, foram recolhidas canetas vencidas que ainda eram usadas pelo paciente e que as intercalava com a aplicação das seringas. Para cada paciente, foi realizada abordagem educativa e orientadora sobre o uso e armazenamento do dispositivo. Conclusão: Apesar do programa governamental Caneta da Saúde disponibilizar canetas de insulinas em substituição às seringas para otimizar o tratamento do diabetes, alguns idosos apresentam dificuldade para manuseá-la. Portanto, a prescrição e dispensação do referido medicamento no SUS pelos médicos e farmacêuticos devem obedecer critérios individuais considerando o caso clínico, as condições familiares além de somente a faixa etária do indivíduo.
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7

Chong, Emeline, and Derric Shen Ong. "Automated Selection of Completion Interval Workflow Using Python Script for Probabilistic Range of EUR in a Greenfield Development." In International Petroleum Technology Conference. IPTC, 2021. http://dx.doi.org/10.2523/iptc-21412-ms.

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Abstract In the greenfield development process, one of the key questions that needs to be answered is, "What is the range of EUR for a particular development concept and the associated completion method based on the existing range of subsurface uncertainties?" The key challenge then is how can the team forecast a representative range of EUR efficiently to obtain a range of results that represent a probabilistic outcome. During the reservoir modelling process of this case study, a total of 405 static realizations had been run and then a STOIIP S-curve was generated. In the next step, 20 cases each of "High, Mid and Low" static models were selected based on the S-curve distribution for the next phase of dynamic simulation due to time and resources constraint. In terms of completion, the same development concept and completion method is assumed, where each dynamic case requires 8 horizontal producing wells with 200 metres of completion interval. Wells placement aside, each of the 60 dynamic models should not have the same fixed perforation depths and intervals due to the geological uncertainties with regards to facies distribution and they need to be selected based on the well effective k-h and hydrocarbon saturation along each well trajectory. Manual work could be used to analyse the best intervals for each of the planned wells, or in this case, this laborious process was replaced with an automated selection of the optimum completion interval workflow using Python script. This paper will show the workflow of how a scripted Python code is designed to provide an "automated moving window" to find the best intervals along a well trajectory. This workflow was executed in the pre-processor of the dynamic simulator which has a workflow window with Python-embedded capability. The Python code then generated the simulation keyword COMPDATMD, which contained the best perforation intervals for all the wells as an output. This automated workflow resulted in an optimization of the completion intervals in all the 60 dynamic model cases, while the ultimate recovery for this greenfield development in Peninsula Malaysia increased by 30% compared to EUR from previously "unoptimized runs". This approach is managed to cut down the run preparation time by at least two weeks compared to the manual solution. The improved range of EUR is also considered as a more representative outcome of the field development evaluation. Utilizing emerging technology breakthrough such as ability to customize specific features via a programming language is important towards a successful era of the Fourth Industrial Revolution (4IR). The results of this automated and customized workflow automation demonstrate a successful application of using machine learning for enhanced problem-solving in reservoir simulation.
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