bl Unwell: The Public Health Implications of Unregulated Drinking Water By feedproxy.google.com Published On :: Mon, 06 Nov 2017 21:28:26 +0000 By Nate Seltenrich Environmental Health Perspectives Roughly one in seven U.S. residents relies on a private well for drinking water.1 Unlike the rest of the population served by the nation’s many public water systems,2 these 44.5 million Americans are not … Continue reading → Full Article Drinking Water safe drinking water water wells
bl Playable simulations to decide what happens next By flowingdata.com Published On :: Mon, 04 May 2020 07:21:03 +0000 The timelines keep shifting and people are getting antsy for many valid (and…Tags: coronavirus, Marcel Salathé, Nicky Case, simulation Full Article Infographics coronavirus Marcel Salathé Nicky Case simulation
bl Possible vaccine timelines By flowingdata.com Published On :: Wed, 06 May 2020 08:40:38 +0000 It’d be great if we could conjure a vaccine or a “cure” seemingly…Tags: coronavirus, New York Times, Stuart A. Thompson, vaccine Full Article Infographics coronavirus New York Times Stuart A. Thompson vaccine
bl Vert.x ramblings: Asynchronous network, your time has come By feedproxy.google.com Published On :: Sat, 19 May 2012 02:00:24 +0000 With the debut of Vert.x, the asynchronous framework is reaching an inflection point, suggests Andrew Cholakian. With Vert.x, the software is packaged together in such a way as to be extremely practical, he states. For some JVM zealots, Vert.x may meet needs recently and apparently addressed by node.js. Vert.x is an asynchronous application server – Read the rest... Full Article Front Page Node
bl How to Add a WordPress Author Box to Your Blog Posts By wphacks.com Published On :: Tue, 28 Jan 2020 08:00:00 +0000 So you’re interested in adding an author box to your WordPress blog? Well, you’ve come to the right place. An […] The post How to Add a WordPress Author Box to Your Blog Posts appeared first on WPHacks. Full Article Tutorials start a wordpress blog wordpress author box
bl METAL INJECTION LIVECAST Bonus Episode: Blake Harrison Interview By feedproxy.google.com Published On :: Fri, 15 Nov 2019 14:00:42 +0000 A special treat for Livecast fans, we are giving you a preview of the type of content you can expect... The post METAL INJECTION LIVECAST Bonus Episode: Blake Harrison Interview appeared first on Metal Injection. Full Article Metal Injection Livecast
bl ‘Warning Bells Going Off’ as NOAA Forecasts Entire Great Barrier Reef at Risk of Coral Bleaching and Death By feedproxy.google.com Published On :: Fri, 26 Oct 2018 20:20:14 +0000 By Jessica Corbett Common Dreams “This is a wake-up call,” says one Australian marine biologist. “Given sea temperatures usually increase as we get towards March, this is probably conservative.” Delivering yet another “wake-up call” after recent studies have shown that … Continue reading → Full Article ET News Ocean ET Global Warming Great Barrier Reef NOAA
bl Flourished cherry blossom By feedproxy.google.com Published On :: Fri, 01 Jul 2016 14:43:37 +0000 Full Article Nature blossom flower spring
bl ‘Warning Bells Going Off’ as NOAA Forecasts Entire Great Barrier Reef at Risk of Coral Bleaching and Death By feedproxy.google.com Published On :: Fri, 26 Oct 2018 20:20:14 +0000 By Jessica Corbett Common Dreams “This is a wake-up call,” says one Australian marine biologist. “Given sea temperatures usually increase as we get towards March, this is probably conservative.” Delivering yet another “wake-up call” after recent studies have shown that … Continue reading → Full Article ET News Ocean ET Global Warming Great Barrier Reef NOAA
bl The future of UX research is automated, and that's a problem By feedproxy.google.com Published On :: Mon, 5 Aug 2019 08:22:15 GMT If you compare the UX research methods we use today with the methods we used 16 years ago, something interesting emerges. We see that UX research is becoming increasingly remote and increasingly unmoderated. In other words, we're moving to a world where UX research is becoming automated. We can learn a lot from automated research. But it comes at the price of understanding our users. Full Article
bl Modern Website Deliverables By feedproxy.google.com Published On :: Mon, 18 Nov 2019 21:11:58 +0000 You’re hiring a web designer or providing web design services, what’s included in a normal project? In other words, what are the deliverables, and the use of a membership website builder could be essential for this. Let’s start by defining what a deliverable is. Wikipedia defines a deliverable as: …a tangible or intangible good or […] The post Modern Website Deliverables appeared first on Psychology of Web Design | 3.7 Blog. Full Article Business Running an Agency Web Design
bl Reestablishing a Social Life on Campus with Other Veterans and Civilians Post-TBI By feedproxy.google.com Published On :: Mon, 27 Jan 2014 00:00:00 EST Transitioning from military to civilian life can take time and can be tricky. Adam talks about how student veteran groups on college campuses can help vets reintegrate socially in their own way and time. Full Article
bl BrainLine Military Blogger Adam Anicich Says Thank You and Goodbye for Now By feedproxy.google.com Published On :: Tue, 18 Mar 2014 00:00:00 EDT Adam thanks you — his blog viewers and supporters — and encourages you to continue the discussion and awareness raising about TBI and PTSD; the battle does not stop here. Full Article
bl 3 Ways to Optimise Blog Content so it Ranks Well on Google By dailyblogtips.com Published On :: Thu, 05 Sep 2019 11:53:33 +0000 When it comes to your blog’s position within search engine results, there’s far more than just sheer luck at play. Search Engine Optimisation is a skill that any content creator – professional or amateur – should develop in order to make their content as discoverable as possible. It involves making certain tweaks to your blog […] Original post: 3 Ways to Optimise Blog Content so it Ranks Well on Google The post 3 Ways to Optimise Blog Content so it Ranks Well on Google appeared first on Daily Blog Tips. Full Article Internet Marketing
bl Website Inspiration: BlurHash By feedproxy.google.com Published On :: Tue, 05 May 2020 08:14:25 +0000 Clear representation of how the product works in the header of the Landing Page for BlurHash. A BlurHash is a compact representation of a placeholder for an image. When integrated they really improves app designs by replacing boring grey boxes with smoother loading images. Full Review Full Article App Download Inspiration Landing Page Device Mockups How it Works iPhone Device Mockup Long Scrolling Parallax Scrolling Product Demo Responsive Design
bl Mysterious Sharks Dance Away Bethel's COVID-19 Blues By feeds.drudge.com Published On :: Fri, 08 May 2020 22:31:46 -0400 A couple of mysterious sharks have caught the fancy of the town. Maybe it's the cabin fever finally setting in, or perhaps this is what happens when you go too long without washing your mask, but Bethelites are going wild for two people in inflatable shark suits who pop up randomly around town. Full Article news
bl Top Colorado Republican Pressures Official to Report False Election Results By feeds.drudge.com Published On :: Sat, 09 May 2020 11:33:22 -0400 U.S. Rep. Ken Buck, who is also the chairman of the Colorado Republican Party, was captured ordering a local party official to report false election results in a primary race for a state Senate seat in a leaked audio recording released earlier this week. Full Article news
bl Everything is Figureoutable with Marie Forleo By feedproxy.google.com Published On :: Fri, 27 Sep 2019 05:21:56 +0000 You know her, the award-winning host, author and speaker, Marie Forleo returns to the podcast to talk about her new book , Everything Is Figureoutable. In the New York Times Best-Selling book, Marie gives readers tactics to look at setbacks positively and overcome obstacles creatively, so you can start reaching your dreams. In this episode, we sit down to talk about how her life experiences influenced the book. She shares stories of fear, failure and always having fun have impacted her life. And we discuss a quote of hers (that I repeat all the time) that can help you get into the creative zone. Enjoy! FOLLOW MARIE: instagram | twitter | website Listen to the Podcast Subscribe Watch the Episode This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times. The post Everything is Figureoutable with Marie Forleo appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast creativity entrepreneurship everything is figureoutable marie forleo problem solving
bl Imagine What’s Possible – On Stage /w Humans of New York Creator Brandon Stanton By feedproxy.google.com Published On :: Fri, 27 Sep 2019 13:15:23 +0000 My book Creative Calling is out! Thanks for all your love, support, and help getting it out into the world. We kicked off celebrations in Seattle with over 700 people in attendance to talk about Creativity with my good buddy, Humans of New York creator, Brandon Stanton. I recorded the session for you. Hope you enjoy! FOLLOW HUMANS OF NEW YORK: instagram | twitter | website Listen to the Podcast Subscribe This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times. The post Imagine What’s Possible – On Stage /w Humans of New York Creator Brandon Stanton appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast Brandon Stanton Creative Calling Humans of New York speaking tour
bl Resilience and Going Untouchable with Neil Pasricha By feedproxy.google.com Published On :: Wed, 27 Nov 2019 14:15:36 +0000 Neil Pasricha is a bestselling author and podcaster whose work focuses on topics core to all of our lives: gratitude, happiness, failure, resilience, and trust. He’s the author of six books including The Book of Awesome, The Happiness Equation, Awesome Is Everywhere, and his latest book: You Are Awesome. In this episode: We are too thin skinned. No matter how great our achievements, we’re crushed by the simplest things. Neil shares some practical advice to navigate through pain and build resiliency Always do something you’re learning… Or as I like to say, how to give yourself permission to suck There’s a reason why they call something a “practice”. We get into how to let go and allow yourself to be human. and much more Enjoy! FOLLOW NEIL: twitter | website Listen to the Podcast Subscribe This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs […] The post Resilience and Going Untouchable with Neil Pasricha appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast creativity habits happiness mindset
bl Rethink Impossible with Colin O’Brady By feedproxy.google.com Published On :: Wed, 12 Feb 2020 14:15:58 +0000 Colin O’Brady is a world record holding explorer and one of the world’s top endurance athletes. Fresh out of college, Colin had a vast world of possibility in front of him when a tragic accident left him hospitalized. Unsure if he’d ever walk again, his injuries covered nearly 25% of his body, primarily damaging his legs and feet. Despite the odds, his mother encouraged him to dream big and he dared to set a seemingly impossible goal that set him on a path to rethink what’s possible. Fast forward to today, and Colin’s list of achievements is staggering. In this episode, we get into many of his harrowing adventures, including his solo, unsupported, unassisted crossing of Antartica. Even if you’re not a professional athlete or have any ambition to break world records, his story will resonate. We all need courage, a strong mindset, and pure grit to overcome obstacles, pursue big dreams, and do the seemingly impossible. A few highlights from our conversation: 1000 NOs paves the way to YES. How failure is only helping us forge and prepare us for the thing we are reaching for. The longest journey is 6 inches between your ears. Colin shares how he discovered mindset […] The post Rethink Impossible with Colin O’Brady appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast courage exploration fear grit mindset motivation world record
bl Getting Comfortable with Being Uncomfortable By feedproxy.google.com Published On :: Wed, 25 Mar 2020 13:15:01 +0000 Being uncomfortable isn’t usually fun. In fact, we’re probably more likely to try to avoid uncomfortable situations than actually run toward them. Yet, it is a valuable skill. Not only in dealing with adversity but giving us confidence and trust in ourselves to recover quickly from failure, manage our fears, and explore the unknown. In today’s episode, we dive a big deeper into this topic and I share a few ways we can all practice getting comfortable with being uncomfortable. Enjoy! FOLLOW CHASE: instagram | twitter | website Listen to the Podcast Subscribe This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times. The post Getting Comfortable with Being Uncomfortable appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast anxiety cold plunge discomfort error recovery failure fear wim hof
bl Five Aspects of a Successful Blog Post By feedproxy.google.com Published On :: Tue, 06 Feb 2018 14:34:13 +0000 It’s 2018, and traditional marketing concept has shifted. We often hear that content marketing is taking the top and is the future of marketing. While content marketing doesn’t only mean blogging, blog posts on a product, service or about your business, should be a big part of your content marketing strategy. There are vast amounts … Five Aspects of a Successful Blog Post Read More » Full Article Reference
bl The Canon EOS R5 release gets closer as it passes Bluetooth certification By feedproxy.google.com Published On :: Thu, 07 May 2020 17:25:13 +0000 We’re a big step closer to a Canon EOS R5 release announcement now, as Nokishita Tweets that it has passed its Bluetooth certification. The belief is that the EOS R5 was originally scheduled to ship in July, and Canon Rumors reports that they’ve been told that’ll still happen. With lockdowns still in effect in much […] The post The Canon EOS R5 release gets closer as it passes Bluetooth certification appeared first on DIY Photography. Full Article DIY Bluetooth Canon EOS R5 Certification EOS R5
bl Double Chance Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:45:05 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/double-chance-picks-sunday-17-september-2017/Double Chance Picks *** Sunday *** 17 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.80 Stake: 100 USD Starting in Teams Our Prediction Odds Las Palmas - Ath Bilbao Soccer: Spain - LaLiga X2 1.45 Chievo - Atalanta Soccer: Italy - Serie… Full Article double chance picks double chance tips DOUBLE CHANCE Sunday Matches
bl Double Chance Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:01:41 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/double-chance-picks-monday-18-september-2017/Double Chance Picks *** Monday *** 18 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.03 Stake: 100 USD Starting in Teams Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga 1X 1.29 AFC Eskilstuna - Sundsvall Soccer: Sweden -… Full Article double chance picks double chance tips DOUBLE CHANCE Monday Matches
bl Double Chance Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:25 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/double-chance-picks-tuesday-19-september-2017/Double Chance Picks *** Tuesday *** 19 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 1.95 Stake: 100 USD Starting in Teams Our Prediction Odds Bournemouth - Brighton Soccer: England - Carabao Cup 1X 1.20 Wolfsburg - SV Werder Bremen Soccer: Germany… Full Article double chance predictions double chance tips DOUBLE CHANCE Tuesday Matches
bl Cameron-Liebler sets in Hamming graphs. (arXiv:2005.02227v2 [math.CO] UPDATED) By arxiv.org Published On :: In this paper, we discuss Cameron-Liebler sets in Hamming graphs, obtain several equivalent definitions and present all classification results. Full Article
bl Some Quot schemes in tilted hearts and moduli spaces of stable pairs. (arXiv:2005.02202v2 [math.AG] UPDATED) By arxiv.org Published On :: For a smooth projective variety $X$, we study analogs of Quot functors in hearts of non-standard $t$-structures of $D^b(mathrm{Coh}(X))$. The technical framework is that of families of $t$-structures, as studied in arXiv:1902.08184. We provide several examples and suggest possible directions of further investigation, as we reinterpret moduli spaces of stable pairs, in the sense of Thaddeus (arXiv:alg-geom/9210007) and Huybrechts-Lehn (arXiv:alg-geom/9211001), as instances of Quot schemes. Full Article
bl Nonlinear singular problems with indefinite potential term. (arXiv:2005.01789v3 [math.AP] UPDATED) By arxiv.org Published On :: We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter $lambda$ varies. This work continues our research published in arXiv:2004.12583, where $xi equiv 0 $ and in the reaction the parametric term is the singular one. Full Article
bl Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method. (arXiv:2004.14721v2 [math.SP] UPDATED) By arxiv.org Published On :: An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases Full Article
bl On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations. (arXiv:2004.12660v3 [math.AP] UPDATED) By arxiv.org Published On :: In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously. Full Article
bl Set-Theoretical Problems in Asymptology. (arXiv:2004.01979v3 [math.GN] UPDATED) By arxiv.org Published On :: In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalities of some special (large, indiscrete, inseparated) coarse structures on $omega$, about the interplay between properties of a coarse space and its Higson corona, about some special ultrafilters ($T$-points and cellular $T$-points) related to finitary coarse structures on $omega$, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties. Full Article
bl On boundedness, gradient estimate, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop. (arXiv:1909.04587v4 [math.AP] UPDATED) By arxiv.org Published On :: In this work, we study dynamic properties of classical solutions to a homogenous Neumann initial-boundary value problem (IBVP) for a two-species and two-stimuli chemotaxis model with/without chemical signalling loop in a 2D bounded and smooth domain. We successfully detect the product of two species masses as a feature to determine boundedness, gradient estimates, blow-up and $W^{j,infty}(1leq jleq 3)$-exponential convergence of classical solutions for the corresponding IBVP. More specifically, we first show generally a smallness on the product of both species masses, thus allowing one species mass to be suitably large, is sufficient to guarantee global boundedness, higher order gradient estimates and $W^{j,infty}$-convergence with rates of convergence to constant equilibria; and then, in a special case, we detect a straight line of masses on which blow-up occurs for large product of masses. Our findings provide new understandings about the underlying model, and thus, improve and extend greatly the existing knowledge relevant to this model. Full Article
bl Decentralized and Parallelized Primal and Dual Accelerated Methods for Stochastic Convex Programming Problems. (arXiv:1904.09015v10 [math.OC] UPDATED) By arxiv.org Published On :: We introduce primal and dual stochastic gradient oracle methods for decentralized convex optimization problems. Both for primal and dual oracles the proposed methods are optimal in terms of the number of communication steps. However, for all classes of the objective, the optimality in terms of the number of oracle calls per node in the class of methods with optimal number of communication steps takes place only up to a logarithmic factor and the notion of smoothness. By using mini-batching technique we show that all proposed methods with stochastic oracle can be additionally parallelized at each node. Full Article
bl Categorification via blocks of modular representations for sl(n). (arXiv:1612.06941v3 [math.RT] UPDATED) By arxiv.org Published On :: Bernstein, Frenkel, and Khovanov have constructed a categorification of tensor products of the standard representation of $mathfrak{sl}_2$, where they use singular blocks of category $mathcal{O}$ for $mathfrak{sl}_n$ and translation functors. Here we construct a positive characteristic analogue using blocks of representations of $mathfrak{sl}_n$ over a field $ extbf{k}$ of characteristic $p$ with zero Frobenius character, and singular Harish-Chandra character. We show that the aforementioned categorification admits a Koszul graded lift, which is equivalent to a geometric categorification constructed by Cautis, Kamnitzer, and Licata using coherent sheaves on cotangent bundles to Grassmanians. In particular, the latter admits an abelian refinement. With respect to this abelian refinement, the stratified Mukai flop induces a perverse equivalence on the derived categories for complementary Grassmanians. This is part of a larger project to give a combinatorial approach to Lusztig's conjectures for representations of Lie algebras in positive characteristic. Full Article
bl Word problems for finite nilpotent groups. (arXiv:2005.03634v1 [math.GR]) By arxiv.org Published On :: Let $w$ be a word in $k$ variables. For a finite nilpotent group $G$, a conjecture of Amit states that $N_w(1) ge |G|^{k-1}$, where $N_w(1)$ is the number of $k$-tuples $(g_1,...,g_k)in G^{(k)}$ such that $w(g_1,...,g_k)=1$. Currently, this conjecture is known to be true for groups of nilpotency class 2. Here we consider a generalized version of Amit's conjecture, and prove that $N_w(g) ge |G|^{k-2}$, where $g$ is a $w$-value in $G$, for finite groups $G$ of odd order and nilpotency class 2. If $w$ is a word in two variables, we further show that $N_w(g) ge |G|$, where $g$ is a $w$-value in $G$ for finite groups $G$ of nilpotency class 2. In addition, for $p$ a prime, we show that finite $p$-groups $G$, with two distinct irreducible complex character degrees, satisfy the generalized Amit conjecture for words $w_k =[x_1,y_1]...[x_k,y_k]$ with $k$ a natural number; that is, for $g$ a $w_k$-value in $G$ we have $N_{w_k}(g) ge |G|^{2k-1}$. Finally, we discuss the related group properties of being rational and chiral, and show that every finite group of nilpotency class 2 is rational. Full Article
bl On products of groups and indices not divisible by a given prime. (arXiv:2005.03608v1 [math.GR]) By arxiv.org Published On :: Let the group $G = AB$ be the product of subgroups $A$ and $B$, and let $p$ be a prime. We prove that $p$ does not divide the conjugacy class size (index) of each $p$-regular element of prime power order $xin Acup B$ if and only if $G$ is $p$-decomposable, i.e. $G=O_p(G) imes O_{p'}(G)$. Full Article
bl Steiner symmetry in the minimization of the principal positive eigenvalue of an eigenvalue problem with indefinite weight. (arXiv:2005.03581v1 [math.AP]) By arxiv.org Published On :: In cite{CC} the authors, investigating a model of population dynamics, find the following result. Let $Omegasubset mathbb{R}^N$, $Ngeq 1$, be a bounded smooth domain. The weighted eigenvalue problem $-Delta u =lambda m u $ in $Omega$ under homogeneous Dirichlet boundary conditions, where $lambda in mathbb{R}$ and $min L^infty(Omega)$, is considered. The authors prove the existence of minimizers $check m$ of the principal positive eigenvalue $lambda_1(m)$ when $m$ varies in a class $mathcal{M}$ of functions where average, maximum, and minimum values are given. A similar result is obtained in cite{CCP} when $m$ is in the class $mathcal{G}(m_0)$ of rearrangements of a fixed $m_0in L^infty(Omega)$. In our work we establish that, if $Omega$ is Steiner symmetric, then every minimizer in cite{CC,CCP} inherits the same kind of symmetry. Full Article
bl Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces. (arXiv:2005.03494v1 [math.CA]) By arxiv.org Published On :: We consider the most general class of linear inhomogeneous boundary-value problems for systems of ordinary differential equations of an arbitrary order whose solutions and right-hand sides belong to appropriate Sobolev spaces. For parameter-dependent problems from this class, we prove a constructive criterion for their solutions to be continuous in the Sobolev space with respect to the parameter. We also prove a two-sided estimate for the degree of convergence of these solutions to the solution of the nonperturbed problem. Full Article
bl On the connection problem for the second Painlev'e equation with large initial data. (arXiv:2005.03440v1 [math.CA]) By arxiv.org Published On :: We consider two special cases of the connection problem for the second Painlev'e equation (PII) using the method of uniform asymptotics proposed by Bassom et al.. We give a classification of the real solutions of PII on the negative (positive) real axis with respect to their initial data. By product, a rigorous proof of a property associate with the nonlinear eigenvalue problem of PII on the real axis, recently revealed by Bender and Komijani, is given by deriving the asymptotic behavior of the Stokes multipliers. Full Article
bl Removable singularities for Lipschitz caloric functions in time varying domains. (arXiv:2005.03397v1 [math.CA]) By arxiv.org Published On :: In this paper we study removable singularities for regular $(1,1/2)$-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric properties and the connection with the $L^2$ boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation. Full Article
bl Maximum of Exponential Random Variables, Hurwitz's Zeta Function, and the Partition Function. (arXiv:2005.03392v1 [math.PR]) By arxiv.org Published On :: A natural problem in the context of the coupon collector's problem is the behavior of the maximum of independent geometrically distributed random variables (with distinct parameters). This question has been addressed by Brennan et al. (British J. of Math. & CS. 8 (2015), 330-336). Here we provide explicit asymptotic expressions for the moments of that maximum, as well as of the maximum of exponential random variables with corresponding parameters. We also deal with the probability of each of the variables being the maximal one. The calculations lead to expressions involving Hurwitz's zeta function at certain special points. We find here explicitly the values of the function at these points. Also, the distribution function of the maximum we deal with is closely related to the generating function of the partition function. Thus, our results (and proofs) rely on classical results pertaining to the partition function. Full Article
bl A reducibility problem for even Unitary groups: The depth zero case. (arXiv:2005.03386v1 [math.RT]) By arxiv.org Published On :: We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for $E/F$ a quadratic extension of p-adic fields the associated unitary group $G=mathrm{U}(n,n)$ contains a parabolic subgroup $P$ with Levi component $L$ isomorphic to $mathrm{GL}_n(E)$. Let $pi$ be an irreducible supercuspidal representation of $L$ of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation $iota_P^G pi$ is reducible. Full Article
bl A theory of stacks with twisted fields and resolution of moduli of genus two stable maps. (arXiv:2005.03384v1 [math.AG]) By arxiv.org Published On :: We construct a smooth moduli stack of tuples consisting of genus two nodal curves, line bundles, and twisted fields. It leads to a desingularization of the moduli of genus two stable maps to projective spaces. The construction of this new moduli is based on systematical application of the theory of stacks with twisted fields (STF), which has its prototype appeared in arXiv:1906.10527 and arXiv:1201.2427 and is fully developed in this article. The results of this article are the second step of a series of works toward the resolutions of the moduli of stable maps of higher genera. Full Article
bl A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem. (arXiv:2005.03365v1 [math.CA]) By arxiv.org Published On :: The main goal of this paper is to achieve a parametrization of the solution set of the truncated matricial Hausdorff moment problem in the non-degenerate and degenerate situation. We treat the even and the odd cases simultaneously. Our approach is based on Schur analysis methods. More precisely, we use two interrelated versions of Schur-type algorithms, namely an algebraic one and a function-theoretic one. The algebraic version, worked out in our former paper arXiv:1908.05115, is an algorithm which is applied to finite or infinite sequences of complex matrices. The construction and discussion of the function-theoretic version is a central theme of this paper. This leads us to a complete description via Stieltjes transform of the solution set of the moment problem under consideration. Furthermore, we discuss special solutions in detail. Full Article
bl Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schr"odinger term. (arXiv:2005.03281v1 [math.AP]) By arxiv.org Published On :: Our goal in this article is to study the global Lorentz estimates for gradient of weak solutions to $p$-Laplace double obstacle problems involving the Schr"odinger term: $-Delta_p u + mathbb{V}|u|^{p-2}u$ with bound constraints $psi_1 le u le psi_2$ in non-smooth domains. This problem has its own interest in mathematics, engineering, physics and other branches of science. Our approach makes a novel connection between the study of Calder'on-Zygmund theory for nonlinear Schr"odinger type equations and variational inequalities for double obstacle problems. Full Article
bl The Congruence Subgroup Problem for finitely generated Nilpotent Groups. (arXiv:2005.03263v1 [math.GR]) By arxiv.org Published On :: The congruence subgroup problem for a finitely generated group $Gamma$ and $Gleq Aut(Gamma)$ asks whether the map $hat{G} o Aut(hat{Gamma})$ is injective, or more generally, what is its kernel $Cleft(G,Gamma ight)$? Here $hat{X}$ denotes the profinite completion of $X$. In the case $G=Aut(Gamma)$ we denote $Cleft(Gamma ight)=Cleft(Aut(Gamma),Gamma ight)$. Let $Gamma$ be a finitely generated group, $ar{Gamma}=Gamma/[Gamma,Gamma]$, and $Gamma^{*}=ar{Gamma}/tor(ar{Gamma})congmathbb{Z}^{(d)}$. Denote $Aut^{*}(Gamma)= extrm{Im}(Aut(Gamma) o Aut(Gamma^{*}))leq GL_{d}(mathbb{Z})$. In this paper we show that when $Gamma$ is nilpotent, there is a canonical isomorphism $Cleft(Gamma ight)simeq C(Aut^{*}(Gamma),Gamma^{*})$. In other words, $Cleft(Gamma ight)$ is completely determined by the solution to the classical congruence subgroup problem for the arithmetic group $Aut^{*}(Gamma)$. In particular, in the case where $Gamma=Psi_{n,c}$ is a finitely generated free nilpotent group of class $c$ on $n$ elements, we get that $C(Psi_{n,c})=C(mathbb{Z}^{(n)})={e}$ whenever $ngeq3$, and $C(Psi_{2,c})=C(mathbb{Z}^{(2)})=hat{F}_{omega}$ = the free profinite group on countable number of generators. Full Article
bl On the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph. (arXiv:2005.03259v1 [math.CO]) By arxiv.org Published On :: In this paper, we give a criterion of the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph: the Ehrhart ring of the stable set polytope of an h-perfect graph $G$ is Gorenstein if and only if (1) sizes of maximal cliques are constant (say $n$) and (2) (a) $n=1$, (b) $n=2$ and there is no odd cycle without chord and length at least 7 or (c) $ngeq 3$ and there is no odd cycle without chord and length at least 5. Full Article
bl The UCT problem for nuclear $C^ast$-algebras. (arXiv:2005.03184v1 [math.OA]) By arxiv.org Published On :: In recent years, a large class of nuclear $C^ast$-algebras have been classified, modulo an assumption on the Universal Coefficient Theorem (UCT). We think this assumption is redundant and propose a strategy for proving it. Indeed, following the original proof of the classification theorem, we propose bridging the gap between reduction theorems and examples. While many such bridges are possible, various approximate ideal structures appear quite promising. Full Article