ine View Mac Calendar from Command Line By feedproxy.google.com Published On :: Mon, 24 Feb 2020 12:28:44 +0000 As someone that loves using UI tools, I do pride myself in learning how to accomplish the same feats from command line. Don’t believe me? Check out my Command Line tutorials section — I guarantee you’ll learn quite a bit. Recently I learned that you can view basic calendars from command line with the cal […] The post View Mac Calendar from Command Line appeared first on David Walsh Blog. Full Article Shell
ine Giveaway: 500 Holographic Raised Foil Business Cards – 100% Free By feedproxy.google.com Published On :: Tue, 31 Dec 2019 00:03:14 +0000 Print Peppermint is one of the most refreshingly creative online printers on the internet at the moment. Their endless range of high-end business cards with unique special finishes like: foil stamping, die-cutting, embossing, letterpress, and edge painting, coupled with a meticulously curated family of thick premium papers make them a rather deadly force. Move over Moo and […] The post Giveaway: 500 Holographic Raised Foil Business Cards – 100% Free appeared first on WebAppers. Full Article Reviews
ine 25 Best Freelance Tools to Enhance Your Business for Free By webdesignerwall.com Published On :: Mon, 05 Dec 2016 13:00:44 +0000 Freelancing can be a tough gig, but there is no better time than a new year to begin building (or rebuilding) a fantastic new business where you can do what you love. Being successful has a lot to do with your drive and passion, but depends largely on your efficiency, workflow and presentation. In this […] The post 25 Best Freelance Tools to Enhance Your Business for Free appeared first on Web Designer Wall. Full Article General Stuff freelance
ine A Look at Marine Litter By feedproxy.google.com Published On :: Fri, 08 Jan 2016 12:02:24 +0000 By The European Environment Agency What we throw into the trash bin might end up into the sea. Our understanding is growing on the global issue of marine litter, which has impacts on marine wildlife but also human health and … Continue reading → Full Article Water Pollution marine debris marine life marine litter marine species water pollution
ine How Important Is A Domain Name For Your Business? By icanbecreative.com Published On :: Tue, 10 Mar 2020 16:41:03 PDT Online representation has a crucial role in planning a business. Today, people turn to the internet whenever they need help, but especially when they want to find certain products or specific... Full Article Business
ine The Best Way To Improve Your Business Skills By icanbecreative.com Published On :: Mon, 16 Mar 2020 08:40:10 PDT Are you thinking about running a business after getting a degree? This article will help you find the best ways to make your business skills more efficient and useful. The Best Way To Improve Your... Full Article Business
ine How A Web Design Business Can Benefit From Using Accounting Applications By icanbecreative.com Published On :: Wed, 18 Mar 2020 14:58:32 PDT Accounting applications help web design businesses in many ways. As a web design service provider, you should use them to boost your business. Start by browsing some resources online that provide... Full Article Business
ine How To Restore Hard Drive From A Time Machine + Other Ways By icanbecreative.com Published On :: Sun, 29 Mar 2020 06:25:37 PDT Have you chosen Mac for its reliable system? They really have a lot of advantages and are of the best quality. Mac users don’t face serious problems with hard drives often. But the reality is such... Full Article Learning
ine 5 Tips That You Absolutely Must Know To Design A Unique Metal Business Card By icanbecreative.com Published On :: Sat, 04 Apr 2020 04:15:51 PDT Every day thousands of business cards exchange hands, and these business cards often get lost in mounds of other cards. Often, clients are unable to reach you just because they couldn't find your... Full Article Design Roud-up
ine Why Choosing The Best Web Hosting Is Crucial For Your Business By icanbecreative.com Published On :: Wed, 15 Apr 2020 17:49:11 PDT Not many business owners think about hosting when building a new website for their business. But failing to choose the right web hosting can have a great impact on your website and, of course, your... Full Article Learning
ine Online Logo Design Makers Will See Huge Growth In 2020 By icanbecreative.com Published On :: Fri, 17 Apr 2020 17:27:47 PDT At no other time in the history of the internet has it been easier to design your own logo than it is right now. You could say that the world of online logo design makers is in a perfect position to... Full Article Learning
ine 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
ine ✚ Tornado Lines – Useful or Not? (The Process 088) By flowingdata.com Published On :: Thu, 07 May 2020 17:30:48 +0000 It looks like a tornado. It's messy. It's circular. It almost looks intentionally confusing. But how bad is it really?Tags: novelty, tornado Full Article The Process novelty tornado
ine HipHop Virtual Machine for PHP By feedproxy.google.com Published On :: Sun, 11 Dec 2011 02:15:51 +0000 Facebook Software Engineer and HipHop for PHP team member Jason Evans provides details on Facebook’s move to a new high-performance PHP virtual machine. Described by Evans is ”a new PHP execution engine based on the HipHop language runtime that we call the HipHop Virtual Machine (hhvm).” He sees it as replacement for the HipHop PHP Read the rest... Full Article Front Page PHP
ine METAL INJECTION LIVECAST #536 - Sinema with Chase from GATECREEPER By feedproxy.google.com Published On :: Tue, 08 Oct 2019 21:03:05 +0000 We kick things off talking about the Jewish holiday of Yom Kippur. We then discuss David D Rainman's recent request... The post METAL INJECTION LIVECAST #536 - Sinema with Chase from GATECREEPER appeared first on Metal Injection. Full Article Metal Injection Livecast
ine METAL INJECTION LIVECAST #544 - 33% Drained By feedproxy.google.com Published On :: Wed, 04 Dec 2019 02:05:15 +0000 This week, we had a very special guest, our Livecastard of the Month, Eric, who actually signed up for our... The post METAL INJECTION LIVECAST #544 - 33% Drained appeared first on Metal Injection. Full Article Metal Injection Livecast
ine METAL INJECTION LIVECAST #551 - Where Nickelback Shines with special guest Comedian Brian Posehn By feedproxy.google.com Published On :: Wed, 22 Jan 2020 03:00:18 +0000 We're so excited to have a huge guest on the show – big time comedian and noted metalhead, Brian Posehn,... The post METAL INJECTION LIVECAST #551 - Where Nickelback Shines with special guest Comedian Brian Posehn appeared first on Metal Injection. Full Article Metal Injection Livecast
ine Official Timeline of Star Trek By feedproxy.google.com Published On :: Wed, 27 Nov 2019 14:00:00 +0000 The team at StarTrek.com has released an official infographic video A Timeline Through the Star Trek Universe, Part 1 that includes all of the various TV and Movie series in their inter-connected places on the timeline.WATCH: A Timeline Through the Star Trek Universe, Part IThe Star Trek saga has boldly traveled through space and time throughout its over fifty year history. Starfleet has visited the distant past, the far future, and even some alternate timelines. Need some context before you dive deep into Star Trek: Discovery and prepare for Star Trek: Picard? We've got you covered in Part One of our video timeline.Here’s a snapshot of the complete timeline: Interesting that they call this “Part 1”… Implying that there is much more to come.From a DataViz design perspective, I’m not a fan of timelines that don’t keep a consistent scale. There’s a huge jump from the Big Bang 13.8 Billion years ago to the year 1900, then the scale is pretty even with 50-year jumps until the year 2150, and then the scale changes again, making the 50-year jumps are much farther apart.It appears that this is an evolution of an original design project collaboration between Rachel Ivanoff and Jordan Twaddle that was on exhibit at the The Museum of Pop-Culture (MoPOP) in Seattle, Washington in 2016. The new video adds Star Trek: Discovery to the timeline, and video snippets from each of the shows.Back in 2016, they shared this great animated GIF of the design evolution from the original timeline design process: I hope they were involved in the development of the new timeline video as well. Full Article
ine Rusted machinery By feedproxy.google.com Published On :: Thu, 14 Jul 2016 12:35:29 +0000 Full Article Industrial abandoned machine old rust
ine Airline Emissions are Flying Too High By feedproxy.google.com Published On :: Wed, 21 Sep 2016 11:27:35 +0000 By David Suzuki David Suzuki Foundation In July, Solar Impulse 2 became the first airplane to fly around the world without using fuel. At the same time, the U.S. National Aeronautics and Space Administration has been working on electric planes. … Continue reading → Full Article Air Pollution airline emissions airline industry commerical airlines United Airlines
ine Understanding Climate Change Means Reading Beyond Headlines By feedproxy.google.com Published On :: Sat, 11 Feb 2017 21:18:19 +0000 By David Suzuki The David Suzuki Foundation Seeing terms like “post-truth” and “alternative facts” gain traction in the news convinces me that politicians, media workers and readers could benefit from a refresher course in how science helps us understand the … Continue reading → Full Article Climate & Climate Change Points of View & Opinions Climate Change climate research extreme weather events
ine Cinematic Street Photography by Victor Cambet By feedproxy.google.com Published On :: Thu, 07 May 2020 05:00:00 +0000 Cinematic Street Photography by Victor Cambet AoiroStudioMay 07, 2020 Victor Cambet is a freelance graphic designer and an amazing photographer currently based in Montreal, QC. What initially caught my eyes on Victor's work is his perspective of how he sees things through his camera lenses. It's pure, raw, and cinematic street photography. That's one of the reasons why we decided to feature his work on ABDZ. Being a personal fan of Victor's, I have always enjoyed his shots from my hometown of Montreal (and still do). I have lived in this city for more than 30 years and it's quite a pleasant sentiment. Definitely check out his Instagram, you will get to follow the 'behind-the-scenes' stories and you will notice how Victor is passionate and patient with his photography. Make sure to give him some love. La rue est un film où chaque inconnu en devient le personnage principal. About Victor Cambet Victor is a freelance graphic designer currently based in my hometown of Montreal, Qc in Canada. You should definitely follow Victor and check out his store. Personal site & store Instagram Behance View this post on Instagram La rue est un film... A post shared by Victor Cambet (@victorcambet) on May 1, 2020 at 8:40am PDT View this post on Instagram L’homme au chapeau. A post shared by Victor Cambet (@victorcambet) on Apr 27, 2020 at 8:06am PDT View this post on Instagram De l’ombre à la lumière. A post shared by Victor Cambet (@victorcambet) on Apr 24, 2020 at 9:02am PDT View this post on Instagram Un regard. A post shared by Victor Cambet (@victorcambet) on Mar 3, 2020 at 10:02am PST View this post on Instagram Ligne continue. Voici le début de ma nouvelle série de photos sur laquelle je travaille actuellement intitulée "Ligne continue". A post shared by Victor Cambet (@victorcambet) on Feb 25, 2020 at 10:10am PST View this post on Instagram Une silhouette dans la nuit. A post shared by Victor Cambet (@victorcambet) on Jan 5, 2020 at 8:04am PST View this post on Instagram À découvert. A post shared by Victor Cambet (@victorcambet) on Nov 6, 2019 at 9:01am PST View this post on Instagram Full Article ine Don't Let Your Diagnosis of TBI and/or PTSD Define You By feedproxy.google.com Published On :: Wed, 04 Dec 2013 00:00:00 EST Adam shares a message of hope to those diagnosed with TBI and/or PTSD: Your life may be different, but you are still the driver and in control. Full Article ine 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 ine Can Business Save the World From Climate Change? By feedproxy.google.com Published On :: Thu, 31 Aug 2017 20:29:23 +0000 By Bianca Nogrady Ensia A growing number of initiatives are giving corporations the resources to help achieve global climate goals regardless of government support “We are still in.” On June 5, 2017, with these four words a group of U.S. … Continue reading → Full Article Business & Economy adaptation to climate change Business Climate Change corporations Paris Climate Agreement ine Federal Watchdog Backs Reinstating Ousted Vaccine Expert By feeds.drudge.com Published On :: Fri, 08 May 2020 20:23:47 -0400 A federal watchdog is recommending that ousted vaccine expert Rick Bright be reinstated while it investigates whether the Trump administration retaliated against his whistleblower complaints when it removed him from a key post overseeing the coronavirus response, Bright's lawyers said Friday. Full Article news ine 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 ine Redefine Creativity – A conversation with Kevin Rose By feedproxy.google.com Published On :: Wed, 11 Dec 2019 14:15:36 +0000 Today I’m sitting down with investor, serial entrepreneur and all around good human, Kevin Rose. If you’re a long timer listener, you might remember Kevin was part of 30 Days of Genius. Now the tables are turned and I’m in the hot seat as a guest on his podcast, the Kevin Rose Show. Of course, it’s always fun sitting down with one of my long time homies to unpack some of my favorite topics, including: How to build your creative muscle and why it’s becoming more important Standing out and why you’re uniquely qualified. Forgetting the “shoulds” is a must do to uncork our richest lives and much more… Big shoutout to Kevin for having me on the show … and if you haven’t already, be sure to check out his podcast The Kevin Rose Show anywhere you listen to podcasts. Enjoy! FOLLOW KEVIN: 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 […] The post Redefine Creativity – A conversation with Kevin Rose appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast Creative Calling creativity entrepreneurship fear Kevin Rose risk ine Surviving + Thriving with Jasmine Star By feedproxy.google.com Published On :: Tue, 14 Apr 2020 13:15:43 +0000 If you missed my conversation with my dear friend photographer + entrepreneur Jasmine Star, we were LIVE on CreativeLive TV. CreativeLiveTV is a brand-new, free, 24/7 variety show, live-streamed from the very casual living rooms, studios, and kitchen tables of our worldwide community of legendary creators. Worth checking out over at http://creativelive.com/tv. In this episode, we’re coming to you from our living rooms to chat about not just survive in these strange times, but to thrive. In particular, finding, participating, and growing your online community. Enjoy! FOLLOW JASMINE: 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 Surviving + Thriving with Jasmine Star appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast community CreativeLive TV social media ine Join Our New Online Workshops On CSS, Accessibility, Performance, And UX By feedproxy.google.com Published On :: Thu, 30 Apr 2020 12:00:00 +0000 It has been a month since we launched our first online workshop and, to be honest, we really didn’t know whether people would enjoy them — or if we would enjoy running them. It was an experiment, but one we are so glad we jumped into! I spoke about the experience of taking my workshop online on a recent episode of the Smashing podcast. As a speaker, I had expected it to feel very much like I was presenting into the empty air, with no immediate feedback and expressions to work from. Full Article ine Meet SmashingConf Live: Our New Interactive Online Conference By feedproxy.google.com Published On :: Tue, 05 May 2020 12:50:00 +0000 In these strange times when everything is connected, it’s too easy to feel lonely and detached. Yes, everybody is just one message away, but there is always something in the way — deadlines to meet, Slack messages to reply, or urgent PRs to review. Connections need time and space to grow, just like learning, and conferences are a great way to find that time and that space. In fact, with SmashingConfs, we’ve always been trying to create such friendly and inclusive spaces. Full Article ine #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers By feedproxy.google.com Published On :: Fri, 08 May 2020 12:04:34 +0000 With the coronavirus pandemic, many folks switched to working online. Things like teaching, business meetings and other face-to-face activities have been replaced with video calls. Home has become both home and workplace, and admit it: your wardrobe totally reflects this. Creative duo The Workmans shows this “fashion crossover” in their latest photo series #COVIDwear. The […] The post #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers appeared first on DIY Photography. Full Article Inspiration Alex Workman Chelsea Workman Coronavirus COVID-19 funny portraits quarantine self-isolation The Workmans ine In Praise of the Diagonal Reference Line By eagereyes.org Published On :: Tue, 24 Mar 2020 05:51:19 +0000 Annotations are what set visual communication and journalism apart from just visualization. They often consist of text, but some of the most useful annotations are graphical elements, and many of them are very simple. One type I have a particular fondness for is the diagonal reference line, which has been used to provide powerful context […] Full Article Blog 2020 COVID-19 Visual Communication ine On the affine Hecke category. (arXiv:2005.02647v2 [math.RT] UPDATED) By arxiv.org Published On :: We give a complete (and surprisingly simple) description of the affine Hecke category for $ ilde{A}_2$ in characteristic zero. More precisely, we calculate the Kazhdan-Lusztig polynomials, give a recursive formula for the projectors defining indecomposable objects and, for each coefficient of a Kazhdan-Lusztig polynomial, we produce a set of morphisms with such a cardinality. Full Article ine Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED) By arxiv.org Published On :: One proves the existence and uniqueness of a generalized (mild) solution for the nonlinear Fokker--Planck equation (FPE) egin{align*} &u_t-Delta (eta(u))+{mathrm{ div}}(D(x)b(u)u)=0, quad tgeq0, xinmathbb{R}^d, d e2, \ &u(0,cdot)=u_0,mbox{in }mathbb{R}^d, end{align*} where $u_0in L^1(mathbb{R}^d)$, $etain C^2(mathbb{R})$ is a nondecreasing function, $bin C^1$, bounded, $bgeq 0$, $Din(L^2cap L^infty)(mathbb{R}^d;mathbb{R}^d)$ with ${ m div}, Din L^infty(mathbb{R}^d)$, and ${ m div},Dgeq0$, $eta$ strictly increasing, if $b$ is not constant. Moreover, $t o u(t,u_0)$ is a semigroup of contractions in $L^1(mathbb{R}^d)$, which leaves invariant the set of probability density functions in $mathbb{R}^d$. If ${ m div},Dgeq0$, $eta'(r)geq a|r|^{alpha-1}$, and $|eta(r)|leq C r^alpha$, $alphageq1,$ $alpha>frac{d-2}d$, $dgeq3$, then $|u(t)|_{L^infty}le Ct^{-frac d{d+(alpha-1)d}} |u_0|^{frac2{2+(m-1)d}},$ $t>0$, and the existence extends to initial data $u_0$ in the space $mathcal{M}_b$ of bounded measures in $mathbb{R}^d$. The solution map $mumapsto S(t)mu$, $tgeq0$, is a Lipschitz contractions on $mathcal{M}_b$ and weakly continuous in $tin[0,infty)$. As a consequence for arbitrary initial laws, we obtain weak solutions to a class of McKean-Vlasov SDEs with coefficients which have singular dependence on the time marginal laws. Full Article ine 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 ine Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization. (arXiv:2005.00989v2 [math.AP] UPDATED) By arxiv.org Published On :: In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique. Full Article ine 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 ine Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization. (arXiv:1912.12110v2 [math.OC] UPDATED) By arxiv.org Published On :: This paper considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange. We first propose a distributed first-order primal-dual algorithm. We show that it converges sublinearly to the stationary point if each local cost function is smooth and linearly to the global optimum under an additional condition that the global cost function satisfies the Polyak-{L}ojasiewicz condition. This condition is weaker than strong convexity, which is a standard condition for proving the linear convergence of distributed optimization algorithms, and the global minimizer is not necessarily unique or finite. Motivated by the situations where the gradients are unavailable, we then propose a distributed zeroth-order algorithm, derived from the proposed distributed first-order algorithm by using a deterministic gradient estimator, and show that it has the same convergence properties as the proposed first-order algorithm under the same conditions. The theoretical results are illustrated by numerical simulations. Full Article ine A homotopy BV algebra for Yang-Mills and color-kinematics. (arXiv:1912.03110v2 [math-ph] UPDATED) By arxiv.org Published On :: Yang-Mills gauge theory on Minkowski space supports a Batalin-Vilkovisky-infinity algebra structure, all whose operations are local. To make this work, the axioms for a BV-infinity algebra are deformed by a quadratic element, here the Minkowski wave operator. This homotopy structure implies BCJ/color-kinematics duality; a cobar construction yields a strict algebraic structure whose Feynman expansion for Yang-Mills tree amplitudes complies with the duality. It comes with a `syntactic kinematic algebra'. Full Article ine Khintchine-type theorems for values of subhomogeneous functions at integer points. (arXiv:1910.02067v2 [math.NT] UPDATED) By arxiv.org Published On :: This work has been motivated by recent papers that quantify the density of values of generic quadratic forms and other polynomials at integer points, in particular ones that use Rogers' second moment estimates. In this paper we establish such results in a very general framework. Namely, given any subhomogeneous function (a notion to be defined) $f: mathbb{R}^n o mathbb{R}$, we derive a necessary and sufficient condition on the approximating function $psi$ for guaranteeing that a generic element $fcirc g$ in the $G$-orbit of $f$ is $psi$-approximable; that is, $|fcirc g(mathbf{v})| le psi(|mathbf{v}|)$ for infinitely many $mathbf{v} in mathbb{Z}^n$. We also deduce a sufficient condition in the case of uniform approximation. Here, $G$ can be any closed subgroup of $operatorname{ASL}_n(mathbb{R})$ satisfying certain axioms that allow for the use of Rogers-type estimates. Full Article ine Infinite dimensional affine processes. (arXiv:1907.10337v3 [math.PR] UPDATED) By arxiv.org Published On :: The goal of this article is to investigate infinite dimensional affine diffusion processes on the canonical state space. This includes a derivation of the corresponding system of Riccati differential equations and an existence proof for such processes, which has been missing in the literature so far. For the existence proof, we will regard affine processes as solutions to infinite dimensional stochastic differential equations with values in Hilbert spaces. This requires a suitable version of the Yamada-Watanabe theorem, which we will provide in this paper. Several examples of infinite dimensional affine processes accompany our results. Full Article ine Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in R^{1+3}. (arXiv:1907.01126v2 [math.AP] UPDATED) By arxiv.org Published On :: This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$. We find that there are two explicit lightlike self-similar solutions to a graph representation of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$, the geometry of them are two spheres. The linear mode unstable of those lightlike self-similar solutions for the radially symmetric membranes equation is given. After that, we show those self-similar solutions of the radially symmetric membranes equation are nonlinearly stable inside a strictly proper subset of the backward lightcone. This means that the dynamical behavior of those two spheres is as attractors. Meanwhile, we overcome the double roots case (the theorem of Poincar'{e} can't be used) in solving the difference equation by construction of a Newton's polygon when we carry out the analysis of spectrum for the linear operator. Full Article ine Representations of the Infinite-Dimensional $p$-Adic Affine Group. (arXiv:1906.08964v2 [math.RT] UPDATED) By arxiv.org Published On :: We introduce an infinite-dimensional $p$-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions. Full Article ine Study of fractional Poincar'e inequalities on unbounded domains. (arXiv:1904.07170v2 [math.AP] UPDATED) By arxiv.org Published On :: The central aim of this paper is to study (regional) fractional Poincar'e type inequalities on unbounded domains satisfying the finite ball condition. Both existence and non existence type results are established depending on various conditions on domains and on the range of $s in (0,1)$. The best constant in both regional fractional and fractional Poincar'e inequality is characterized for strip like domains $(omega imes mathbb{R}^{n-1})$, and the results obtained in this direction are analogous to those of the local case. This settles one of the natural questions raised by K. Yeressian in [ extit{Asymptotic behavior of elliptic nonlocal equations set in cylinders, Asymptot. Anal. 89, (2014), no 1-2}]. Full Article ine Grothendieck's inequalities for JB$^*$-triples: Proof of the Barton-Friedman conjecture. (arXiv:1903.08931v3 [math.OA] UPDATED) By arxiv.org Published On :: We prove that, given a constant $K> 2$ and a bounded linear operator $T$ from a JB$^*$-triple $E$ into a complex Hilbert space $H$, there exists a norm-one functional $psiin E^*$ satisfying $$|T(x)| leq K , |T| , |x|_{psi},$$ for all $xin E$. Applying this result we show that, given $G > 8 (1+2sqrt{3})$ and a bounded bilinear form $V$ on the Cartesian product of two JB$^*$-triples $E$ and $B$, there exist norm-one functionals $varphiin E^{*}$ and $psiin B^{*}$ satisfying $$|V(x,y)| leq G |V| , |x|_{varphi} , |y|_{psi}$$ for all $(x,y)in E imes B$. These results prove a conjecture pursued during almost twenty years. Full Article ine Diophantine Equations Involving the Euler Totient Function. (arXiv:1902.01638v4 [math.NT] UPDATED) By arxiv.org Published On :: We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences. Full Article ine A Class of Functional Inequalities and their Applications to Fourth-Order Nonlinear Parabolic Equations. (arXiv:1612.03508v3 [math.AP] UPDATED) By arxiv.org Published On :: We study a class of fourth order nonlinear parabolic equations which include the thin-film equation and the quantum drift-diffusion model as special cases. We investigate these equations by first developing functional inequalities of the type $ int_Omega u^{2gamma-alpha-eta}Delta u^alphaDelta u^eta dx geq cint_Omega|Delta u^gamma |^2dx $, which seem to be of interest on their own right. Full Article ine A survey of Hardy type inequalities on homogeneous groups. (arXiv:2005.03614v1 [math.FA]) By arxiv.org Published On :: In this review paper, we survey Hardy type inequalities from the point of view of Folland and Stein's homogeneous groups. Particular attention is paid to Hardy type inequalities on stratified groups which give a special class of homogeneous groups. In this environment, the theory of Hardy type inequalities becomes intricately intertwined with the properties of sub-Laplacians and more general subelliptic partial differential equations. Particularly, we discuss the Badiale-Tarantello conjecture and a conjecture on the geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant. Full Article ine The Fourier Transform Approach to Inversion of lambda-Cosine and Funk Transforms on the Unit Sphere. (arXiv:2005.03607v1 [math.FA]) By arxiv.org Published On :: We use the classical Fourier analysis to introduce analytic families of weighted differential operators on the unit sphere. These operators are polynomial functions of the usual Beltrami-Laplace operator. New inversion formulas are obtained for totally geodesic Funk transforms on the sphere and the correpsonding lambda-cosine transforms. 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ine Don't Let Your Diagnosis of TBI and/or PTSD Define You By feedproxy.google.com Published On :: Wed, 04 Dec 2013 00:00:00 EST Adam shares a message of hope to those diagnosed with TBI and/or PTSD: Your life may be different, but you are still the driver and in control. Full Article
ine 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
ine Can Business Save the World From Climate Change? By feedproxy.google.com Published On :: Thu, 31 Aug 2017 20:29:23 +0000 By Bianca Nogrady Ensia A growing number of initiatives are giving corporations the resources to help achieve global climate goals regardless of government support “We are still in.” On June 5, 2017, with these four words a group of U.S. … Continue reading → Full Article Business & Economy adaptation to climate change Business Climate Change corporations Paris Climate Agreement
ine Federal Watchdog Backs Reinstating Ousted Vaccine Expert By feeds.drudge.com Published On :: Fri, 08 May 2020 20:23:47 -0400 A federal watchdog is recommending that ousted vaccine expert Rick Bright be reinstated while it investigates whether the Trump administration retaliated against his whistleblower complaints when it removed him from a key post overseeing the coronavirus response, Bright's lawyers said Friday. Full Article news
ine 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
ine Redefine Creativity – A conversation with Kevin Rose By feedproxy.google.com Published On :: Wed, 11 Dec 2019 14:15:36 +0000 Today I’m sitting down with investor, serial entrepreneur and all around good human, Kevin Rose. If you’re a long timer listener, you might remember Kevin was part of 30 Days of Genius. Now the tables are turned and I’m in the hot seat as a guest on his podcast, the Kevin Rose Show. Of course, it’s always fun sitting down with one of my long time homies to unpack some of my favorite topics, including: How to build your creative muscle and why it’s becoming more important Standing out and why you’re uniquely qualified. Forgetting the “shoulds” is a must do to uncork our richest lives and much more… Big shoutout to Kevin for having me on the show … and if you haven’t already, be sure to check out his podcast The Kevin Rose Show anywhere you listen to podcasts. Enjoy! FOLLOW KEVIN: 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 […] The post Redefine Creativity – A conversation with Kevin Rose appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast Creative Calling creativity entrepreneurship fear Kevin Rose risk
ine Surviving + Thriving with Jasmine Star By feedproxy.google.com Published On :: Tue, 14 Apr 2020 13:15:43 +0000 If you missed my conversation with my dear friend photographer + entrepreneur Jasmine Star, we were LIVE on CreativeLive TV. CreativeLiveTV is a brand-new, free, 24/7 variety show, live-streamed from the very casual living rooms, studios, and kitchen tables of our worldwide community of legendary creators. Worth checking out over at http://creativelive.com/tv. In this episode, we’re coming to you from our living rooms to chat about not just survive in these strange times, but to thrive. In particular, finding, participating, and growing your online community. Enjoy! FOLLOW JASMINE: 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 Surviving + Thriving with Jasmine Star appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast community CreativeLive TV social media
ine Join Our New Online Workshops On CSS, Accessibility, Performance, And UX By feedproxy.google.com Published On :: Thu, 30 Apr 2020 12:00:00 +0000 It has been a month since we launched our first online workshop and, to be honest, we really didn’t know whether people would enjoy them — or if we would enjoy running them. It was an experiment, but one we are so glad we jumped into! I spoke about the experience of taking my workshop online on a recent episode of the Smashing podcast. As a speaker, I had expected it to feel very much like I was presenting into the empty air, with no immediate feedback and expressions to work from. Full Article
ine Meet SmashingConf Live: Our New Interactive Online Conference By feedproxy.google.com Published On :: Tue, 05 May 2020 12:50:00 +0000 In these strange times when everything is connected, it’s too easy to feel lonely and detached. Yes, everybody is just one message away, but there is always something in the way — deadlines to meet, Slack messages to reply, or urgent PRs to review. Connections need time and space to grow, just like learning, and conferences are a great way to find that time and that space. In fact, with SmashingConfs, we’ve always been trying to create such friendly and inclusive spaces. Full Article
ine #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers By feedproxy.google.com Published On :: Fri, 08 May 2020 12:04:34 +0000 With the coronavirus pandemic, many folks switched to working online. Things like teaching, business meetings and other face-to-face activities have been replaced with video calls. Home has become both home and workplace, and admit it: your wardrobe totally reflects this. Creative duo The Workmans shows this “fashion crossover” in their latest photo series #COVIDwear. The […] The post #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers appeared first on DIY Photography. Full Article Inspiration Alex Workman Chelsea Workman Coronavirus COVID-19 funny portraits quarantine self-isolation The Workmans
ine In Praise of the Diagonal Reference Line By eagereyes.org Published On :: Tue, 24 Mar 2020 05:51:19 +0000 Annotations are what set visual communication and journalism apart from just visualization. They often consist of text, but some of the most useful annotations are graphical elements, and many of them are very simple. One type I have a particular fondness for is the diagonal reference line, which has been used to provide powerful context […] Full Article Blog 2020 COVID-19 Visual Communication
ine On the affine Hecke category. (arXiv:2005.02647v2 [math.RT] UPDATED) By arxiv.org Published On :: We give a complete (and surprisingly simple) description of the affine Hecke category for $ ilde{A}_2$ in characteristic zero. More precisely, we calculate the Kazhdan-Lusztig polynomials, give a recursive formula for the projectors defining indecomposable objects and, for each coefficient of a Kazhdan-Lusztig polynomial, we produce a set of morphisms with such a cardinality. Full Article
ine Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED) By arxiv.org Published On :: One proves the existence and uniqueness of a generalized (mild) solution for the nonlinear Fokker--Planck equation (FPE) egin{align*} &u_t-Delta (eta(u))+{mathrm{ div}}(D(x)b(u)u)=0, quad tgeq0, xinmathbb{R}^d, d e2, \ &u(0,cdot)=u_0,mbox{in }mathbb{R}^d, end{align*} where $u_0in L^1(mathbb{R}^d)$, $etain C^2(mathbb{R})$ is a nondecreasing function, $bin C^1$, bounded, $bgeq 0$, $Din(L^2cap L^infty)(mathbb{R}^d;mathbb{R}^d)$ with ${ m div}, Din L^infty(mathbb{R}^d)$, and ${ m div},Dgeq0$, $eta$ strictly increasing, if $b$ is not constant. Moreover, $t o u(t,u_0)$ is a semigroup of contractions in $L^1(mathbb{R}^d)$, which leaves invariant the set of probability density functions in $mathbb{R}^d$. If ${ m div},Dgeq0$, $eta'(r)geq a|r|^{alpha-1}$, and $|eta(r)|leq C r^alpha$, $alphageq1,$ $alpha>frac{d-2}d$, $dgeq3$, then $|u(t)|_{L^infty}le Ct^{-frac d{d+(alpha-1)d}} |u_0|^{frac2{2+(m-1)d}},$ $t>0$, and the existence extends to initial data $u_0$ in the space $mathcal{M}_b$ of bounded measures in $mathbb{R}^d$. The solution map $mumapsto S(t)mu$, $tgeq0$, is a Lipschitz contractions on $mathcal{M}_b$ and weakly continuous in $tin[0,infty)$. As a consequence for arbitrary initial laws, we obtain weak solutions to a class of McKean-Vlasov SDEs with coefficients which have singular dependence on the time marginal laws. Full Article
ine 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
ine Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization. (arXiv:2005.00989v2 [math.AP] UPDATED) By arxiv.org Published On :: In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique. Full Article
ine 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
ine Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization. (arXiv:1912.12110v2 [math.OC] UPDATED) By arxiv.org Published On :: This paper considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange. We first propose a distributed first-order primal-dual algorithm. We show that it converges sublinearly to the stationary point if each local cost function is smooth and linearly to the global optimum under an additional condition that the global cost function satisfies the Polyak-{L}ojasiewicz condition. This condition is weaker than strong convexity, which is a standard condition for proving the linear convergence of distributed optimization algorithms, and the global minimizer is not necessarily unique or finite. Motivated by the situations where the gradients are unavailable, we then propose a distributed zeroth-order algorithm, derived from the proposed distributed first-order algorithm by using a deterministic gradient estimator, and show that it has the same convergence properties as the proposed first-order algorithm under the same conditions. The theoretical results are illustrated by numerical simulations. Full Article
ine A homotopy BV algebra for Yang-Mills and color-kinematics. (arXiv:1912.03110v2 [math-ph] UPDATED) By arxiv.org Published On :: Yang-Mills gauge theory on Minkowski space supports a Batalin-Vilkovisky-infinity algebra structure, all whose operations are local. To make this work, the axioms for a BV-infinity algebra are deformed by a quadratic element, here the Minkowski wave operator. This homotopy structure implies BCJ/color-kinematics duality; a cobar construction yields a strict algebraic structure whose Feynman expansion for Yang-Mills tree amplitudes complies with the duality. It comes with a `syntactic kinematic algebra'. Full Article
ine Khintchine-type theorems for values of subhomogeneous functions at integer points. (arXiv:1910.02067v2 [math.NT] UPDATED) By arxiv.org Published On :: This work has been motivated by recent papers that quantify the density of values of generic quadratic forms and other polynomials at integer points, in particular ones that use Rogers' second moment estimates. In this paper we establish such results in a very general framework. Namely, given any subhomogeneous function (a notion to be defined) $f: mathbb{R}^n o mathbb{R}$, we derive a necessary and sufficient condition on the approximating function $psi$ for guaranteeing that a generic element $fcirc g$ in the $G$-orbit of $f$ is $psi$-approximable; that is, $|fcirc g(mathbf{v})| le psi(|mathbf{v}|)$ for infinitely many $mathbf{v} in mathbb{Z}^n$. We also deduce a sufficient condition in the case of uniform approximation. Here, $G$ can be any closed subgroup of $operatorname{ASL}_n(mathbb{R})$ satisfying certain axioms that allow for the use of Rogers-type estimates. Full Article
ine Infinite dimensional affine processes. (arXiv:1907.10337v3 [math.PR] UPDATED) By arxiv.org Published On :: The goal of this article is to investigate infinite dimensional affine diffusion processes on the canonical state space. This includes a derivation of the corresponding system of Riccati differential equations and an existence proof for such processes, which has been missing in the literature so far. For the existence proof, we will regard affine processes as solutions to infinite dimensional stochastic differential equations with values in Hilbert spaces. This requires a suitable version of the Yamada-Watanabe theorem, which we will provide in this paper. Several examples of infinite dimensional affine processes accompany our results. Full Article
ine Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in R^{1+3}. (arXiv:1907.01126v2 [math.AP] UPDATED) By arxiv.org Published On :: This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$. We find that there are two explicit lightlike self-similar solutions to a graph representation of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$, the geometry of them are two spheres. The linear mode unstable of those lightlike self-similar solutions for the radially symmetric membranes equation is given. After that, we show those self-similar solutions of the radially symmetric membranes equation are nonlinearly stable inside a strictly proper subset of the backward lightcone. This means that the dynamical behavior of those two spheres is as attractors. Meanwhile, we overcome the double roots case (the theorem of Poincar'{e} can't be used) in solving the difference equation by construction of a Newton's polygon when we carry out the analysis of spectrum for the linear operator. Full Article
ine Representations of the Infinite-Dimensional $p$-Adic Affine Group. (arXiv:1906.08964v2 [math.RT] UPDATED) By arxiv.org Published On :: We introduce an infinite-dimensional $p$-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions. Full Article
ine Study of fractional Poincar'e inequalities on unbounded domains. (arXiv:1904.07170v2 [math.AP] UPDATED) By arxiv.org Published On :: The central aim of this paper is to study (regional) fractional Poincar'e type inequalities on unbounded domains satisfying the finite ball condition. Both existence and non existence type results are established depending on various conditions on domains and on the range of $s in (0,1)$. The best constant in both regional fractional and fractional Poincar'e inequality is characterized for strip like domains $(omega imes mathbb{R}^{n-1})$, and the results obtained in this direction are analogous to those of the local case. This settles one of the natural questions raised by K. Yeressian in [ extit{Asymptotic behavior of elliptic nonlocal equations set in cylinders, Asymptot. Anal. 89, (2014), no 1-2}]. Full Article
ine Grothendieck's inequalities for JB$^*$-triples: Proof of the Barton-Friedman conjecture. (arXiv:1903.08931v3 [math.OA] UPDATED) By arxiv.org Published On :: We prove that, given a constant $K> 2$ and a bounded linear operator $T$ from a JB$^*$-triple $E$ into a complex Hilbert space $H$, there exists a norm-one functional $psiin E^*$ satisfying $$|T(x)| leq K , |T| , |x|_{psi},$$ for all $xin E$. Applying this result we show that, given $G > 8 (1+2sqrt{3})$ and a bounded bilinear form $V$ on the Cartesian product of two JB$^*$-triples $E$ and $B$, there exist norm-one functionals $varphiin E^{*}$ and $psiin B^{*}$ satisfying $$|V(x,y)| leq G |V| , |x|_{varphi} , |y|_{psi}$$ for all $(x,y)in E imes B$. These results prove a conjecture pursued during almost twenty years. Full Article
ine Diophantine Equations Involving the Euler Totient Function. (arXiv:1902.01638v4 [math.NT] UPDATED) By arxiv.org Published On :: We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences. Full Article
ine A Class of Functional Inequalities and their Applications to Fourth-Order Nonlinear Parabolic Equations. (arXiv:1612.03508v3 [math.AP] UPDATED) By arxiv.org Published On :: We study a class of fourth order nonlinear parabolic equations which include the thin-film equation and the quantum drift-diffusion model as special cases. We investigate these equations by first developing functional inequalities of the type $ int_Omega u^{2gamma-alpha-eta}Delta u^alphaDelta u^eta dx geq cint_Omega|Delta u^gamma |^2dx $, which seem to be of interest on their own right. Full Article
ine A survey of Hardy type inequalities on homogeneous groups. (arXiv:2005.03614v1 [math.FA]) By arxiv.org Published On :: In this review paper, we survey Hardy type inequalities from the point of view of Folland and Stein's homogeneous groups. Particular attention is paid to Hardy type inequalities on stratified groups which give a special class of homogeneous groups. In this environment, the theory of Hardy type inequalities becomes intricately intertwined with the properties of sub-Laplacians and more general subelliptic partial differential equations. Particularly, we discuss the Badiale-Tarantello conjecture and a conjecture on the geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant. Full Article
ine The Fourier Transform Approach to Inversion of lambda-Cosine and Funk Transforms on the Unit Sphere. (arXiv:2005.03607v1 [math.FA]) By arxiv.org Published On :: We use the classical Fourier analysis to introduce analytic families of weighted differential operators on the unit sphere. These operators are polynomial functions of the usual Beltrami-Laplace operator. New inversion formulas are obtained for totally geodesic Funk transforms on the sphere and the correpsonding lambda-cosine transforms. Full Article