ia Illustrator Tutorial: How to Create an iPhone Icon By feedproxy.google.com Published On :: Fri, 29 Mar 2019 11:57:20 +0000 Welcome back to another Adobe Illustrator based tutorial, in which we're going to take a close look behind the process of creating a simple iPhone icon, using nothing more than some basic geometric shapes that we're going to adjust here and there. 1. Set Up a New Project File As with any new project, we’re […] The post Illustrator Tutorial: How to Create an iPhone Icon appeared first on Bittbox. Full Article How To Illustrator Adobe contacts dialer Featured icon iphone icon line icon phone phone icon UI
ia Illustrator Tutorial: How to Create a Simple Computer Icon By feedproxy.google.com Published On :: Fri, 12 Apr 2019 14:50:36 +0000 In today’s tutorial, we're going to take a close look behind the process of creating a simple computer icon, and see how easy it is to build one of our one using nothing more than some basic geometric shapes. 1. Set Up a New Project File As with any new project, we’re going to kick […] The post Illustrator Tutorial: How to Create a Simple Computer Icon appeared first on Bittbox. Full Article How To Illustrator adobe illustrator computer icon Featured flat icon icon Vector vector icon
ia Illustrator Tutorial: How to Create a Folder Icon By feedproxy.google.com Published On :: Thu, 02 May 2019 02:04:36 +0000 In today’s tutorial, we’re going to take an in-depth look behind the process of creating a folder icon, and see how easy it is to build one from scratch using nothing more than a couple of basic geometric shapes, which we’re going to adjust here and there. So, assuming you already have Illustrator up and […] The post Illustrator Tutorial: How to Create a Folder Icon appeared first on Bittbox. Full Article How To Illustrator Adobe adobe illustrator Design Feature Featured folder folder icon icon Icon Design Vector
ia 5 Essentials To Create Your Own Website Presence By feedproxy.google.com Published On :: Wed, 15 May 2019 18:45:21 +0000 Only a website that has a well-established presence can stand out on the internet. Business owners and individuals hire web designers like yourself to create website presences for them. In order to prove yourself, you need to establish your own presence online first. Get to the point where you can showcase your own website during […] The post 5 Essentials To Create Your Own Website Presence appeared first on Bittbox. Full Article Culture
ia Illustrator Tutorial: How to Create a Watch Icon By feedproxy.google.com Published On :: Mon, 29 Jul 2019 17:02:39 +0000 Welcome back to another Illustrator based tutorial, in which we’re going to learn how to create a simple watch icon, using nothing more than a couple of basic geometric shapes and tools. So, assuming you already have the software running in the background, bring it up and let’s jump straight into it! 1. Set Up […] The post Illustrator Tutorial: How to Create a Watch Icon appeared first on Bittbox. Full Article How To Illustrator Adobe adobe illustrator Feature Featured Icon Design vector icon watch watch icon
ia Illustrator Tutorial: How to Create an Icognito Icon By feedproxy.google.com Published On :: Wed, 11 Sep 2019 18:04:04 +0000 Welcome back to another Illustrator based tutorial, in which we’re going to take a close look behind the process of creating an incognito icon, using nothing more than a couple of simple shapes and tools. So, assuming you already have the software running in the background, bring it up and let’s jump straight into it! […] The post Illustrator Tutorial: How to Create an Icognito Icon appeared first on Bittbox. Full Article How To Illustrator Adobe adobe illustrator Featured icon incognito incognito icon line art line icon Vector vector icon
ia Illustrator Tutorial: How to Create an Ice Cream icon By feedproxy.google.com Published On :: Tue, 01 Oct 2019 04:49:23 +0000 In today’s tutorial, we’re going to take a quick look at the process of creating an Ice Cream icon, and learn how easy it is to build one from scratch using nothing more than a couple of basic geometric shapes that we’re going to adjust here and there. So, assuming you already have the software […] The post Illustrator Tutorial: How to Create an Ice Cream icon appeared first on Bittbox. Full Article How To Illustrator Adobe adobe illustrator Featured ice cream icon icon Icon Design Vector vector icon
ia Illustrator Tutorial: How to Create a Notification Bell Icon By feedproxy.google.com Published On :: Wed, 09 Oct 2019 03:42:01 +0000 n today’s tutorial, we’re going to take a quick look behind the process of creating a notification bell icon, and see how easy it is to do so using nothing more than a couple of basic geometric shapes and tools. So, assuming you already have the software up and running, let’s jump straight into it! […] The post Illustrator Tutorial: How to Create a Notification Bell Icon appeared first on Bittbox. Full Article How To Illustrator Adobe adobe illustrator Featured flat flat icon icon Icon Design Vector vector art
ia Illustrator Tutorial: How to Create a Recycle Bin Notification Icon By feedproxy.google.com Published On :: Tue, 22 Oct 2019 03:56:08 +0000 Welcome back to another Illustrator based tutorial, in which we’re going to learn how to create a recycle bin notification icon, using nothing more than a couple of basic geometric shapes that we’re going to adjust here and there. So, assuming you already have the software running in the background, bring it up and let’s […] The post Illustrator Tutorial: How to Create a Recycle Bin Notification Icon appeared first on Bittbox. Full Article How To Illustrator Adobe adobe illustrator Art Feature Featured flat icon icon Icon Design Vector vector icon
ia METAL INJECTION LIVECAST #537 - Hootie and the No Fish with JINJER's Tatiana Shmayluk By feedproxy.google.com Published On :: Tue, 15 Oct 2019 23:57:50 +0000 We have a very special guest, Jinjer vocalist Tatiana Shmayluk called into the show. She talked about the band's upcoming... The post METAL INJECTION LIVECAST #537 - Hootie and the No Fish with JINJER's Tatiana Shmayluk appeared first on Metal Injection. Full Article Metal Injection Livecast
ia METAL INJECTION LIVECAST #538 – Bush Did Mayhem with Special Guest Riki Rachtman By feedproxy.google.com Published On :: Wed, 23 Oct 2019 06:52:33 +0000 Former host of MTV Headbangers Ball, Riki Rachtman, called into the show to share memories of Headbangers Ball, working at... The post METAL INJECTION LIVECAST #538 – Bush Did Mayhem with Special Guest Riki Rachtman appeared first on Metal Injection. Full Article Metal Injection Livecast
ia METAL INJECTION LIVECAST #541 - Thank You For Your Cervix with STRAY FROM THE PATH's Tom Williams By feedproxy.google.com Published On :: Wed, 13 Nov 2019 01:08:04 +0000 On this week's episode, we were joined by Stray From the Path guitarist Tom Williams. We talk about band's recently... The post METAL INJECTION LIVECAST #541 - Thank You For Your Cervix with STRAY FROM THE PATH's Tom Williams appeared first on Metal Injection. Full Article Metal Injection Livecast
ia 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
ia Where We Go From Here: 10 Thoughts on the Immediate Future of the Web By feedproxy.google.com Published On :: Tue, 01 Oct 2019 16:47:20 +0000 I was asked to close out WordCamp Vancouver with a short 20 minute keynote on something interesting. After some thought, I put together a list of 10 trends I see in the web community and where we are headed in the immediate future. 0. The Future Keeps Arriving In my +15 years working on and with the […] The post Where We Go From Here: 10 Thoughts on the Immediate Future of the Web appeared first on MOR10. Full Article My Opinion internet open source web
ia The Internet is an Essential Service By feedproxy.google.com Published On :: Fri, 24 Apr 2020 17:23:40 +0000 “You can consult canada.ca/coronavirus to get the best updated information about the spread of the virus.” – Justin Trudeau, April 3rd, 2020 A daily mantra rings out from government officials around the world: The call to visit official websites to get the latest information on the COVID-19 pandemic and to access essential services. Yet to many constituents accessing […] The post The Internet is an Essential Service appeared first on MOR10. Full Article Internet My Opinion
ia 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
ia Social Media Content Trends for 2020 By feedproxy.google.com Published On :: Mon, 02 Mar 2020 21:58:14 +0000 Social media is predicted to continue to be a big tool for businesses in 2020. Big surprise. The Social Media Content Trends for 2020 and Beyond infographic from MicroCreatives lays out their predictions for upcoming trends.Before the inception of social media marketing, brands used traditional marketing channels to reach out to and engage with consumers. Online social networks have made communicating with consumers a breeze and marketing easier and highly targeted for brands.By 2020, more than 5 billion people will use social media platforms—that’s roughly two-thirds of the world’s population. Now is the perfect time to get started with social media marketing if you haven’t been doing so already. If you’re already doing it, how is it going for you so far? Perhaps it’s time to evaluate and update your social media content strategy to stay relevant and get ahead of the competition.Here are some content trends we anticipate to be popular across social media in 2020 and the coming years. See what could work for your brand and start planning ahead.Sometimes an infographic is a great way to summarize a larger, in-depth article. This is a good example that keeps the text in the infographic short & sweet because the article contains the longer descriptions.They definitely missed out on using data visualization for the statistics though! Big mistake! They are completely lost in the text, and have no visual impact on the audience.Found on prdaily.com Full Article
ia Scientists to Build Avian Tree of Life By feedproxy.google.com Published On :: Fri, 20 Jul 2018 19:23:38 +0000 From the National Science Foundation Birds — the only surviving descendants of dinosaurs — are used to study a large range of fundamental topics in biology, from understanding the evolution of mating systems to learning about the genetic and environmental … Continue reading → Full Article Animal Kingdom ET News bird evolution birds National Science Foundation
ia California Study: Four Widely Used Neonicotinoid Pesticides Harm Bees By feedproxy.google.com Published On :: Thu, 02 Aug 2018 18:33:52 +0000 Center for Biological Diversity Press Release WASHINGTON – Four commonly used neonicotinoid pesticides can harm bees and other pollinators, according to a new analysis by California’s Department of Pesticide Regulation. The study found that current approved uses of the “neonics” … Continue reading → Full Article Endangered Species ET News Bee California EPA Neonicotinoid Pesticides save the bees
ia 10 diagrams to help you think straight about UX Research By feedproxy.google.com Published On :: Mon, 3 Dec 2018 08:13:11 GMT Some of the problems we work on as UX researchers are simple and are easily solved by getting users in front of our product. But other problems can be complex and it's hard to know how to start solving them. In situations like that, a simple 2x2 diagram can cut through the 'what ifs', the 'how abouts' and the edge cases and provide a simple way of looking at the problem. Here are 10 examples of 2x2 diagrams to simplify UX research discussions. Full Article
ia My Nostalgia is back with Streets of Rage 4 By feedproxy.google.com Published On :: Wed, 06 May 2020 16:31:28 +0000 My Nostalgia is back with Streets of Rage 4 abduzeedoMay 06, 2020 I grew up playing video games. My first console was the Atari 2600. The games were quite primitive, literally a few pixels on the screen moving. Remember, that was the 80s. In the 90s my brother and I got the Sega Mega-Drive (Genesis in US). It was a massive improvement in graphics. A 16bit console, whoah! There are incredible games, however the one that marked was Streets of Rage. I remember seeing some kids playing at this shop and I was blown away. I wanted to play it. We got the game a few weeks later and we used to play it all the time. The soundtrack was phenomenal. Fast-forward a few years and the second installment was released. Everything was better. Graphics, music. My love for the franchise was renewed till this day. I have both games on my phone and tablet. Last week Streets of Rage 4 was released. The long awaited release for me since I learned it was in the works. I got it for the Switch and have been playing every single day and my expectations, which were very high, were met. The game is awesome. The pixelated graphics are no longer. The creators of the series decided to adopt a hand drawn clean look and it works really well. The graphics are beautiful, the scenarios have that 80s gritty look and are full of details. The music doesn’t disappoint either. I’ve been actually listening to the soundtrack on Spotify. As you can see, I am a fan and this game deserves a feature here on Abduzeedo. Streets of Rage Streets of Rage, known as Bare Knuckle (ベア・ナックル Bea Nakkuru) in Japan, is a trilogy of beat 'em up games developed and published by SEGA in the 1990s. Famously known for its non stop action and electronic dance influenced music - scored by Yuzo Koshiro and Motohiro Kawashima - the series has gained the status of cult classic throughout the years. It is considered one of the best beat 'em up series of all time. After many years, Axel and Blaze are finally picking up the fight where they left. Featuring hand-drawn visuals from the team behind 2017’s gorgeous Wonder Boy: The Dragon’s Trap remake, Streets of Rage 4 builds upon the classic trilogy’s gameplay with new mechanics, a fresh story and a gauntlet of dangerous stages with a serious crime problem. Streets of Rage 4 recalls classic gameplay but it stands as an entirely original arcade-style romp thanks to the expertise of Guard Crush Games and Dotemu. Whether players gang up with a friend or clean up the city solo, Streets of Rage 4 is a skull-bashing, chicken-chomping delight all set to a thumping soundtrack sure to get your blood pumping. Screenshots Making of Full Article
ia Social Distancing By jepson.no Published On :: Tue, 07 Apr 2020 06:48:35 +0000 A lot of nice family time during these Corona times. Full Article Blog
ia How to Create an Amazon Affiliate Store (Step by Step) By www.isitwp.com Published On :: Mon, 04 May 2020 08:40:24 +0000 Do you want to add an Amazon affiliate store with WordPress? Amazon is the world’s largest online store that helps thousands of merchants to sell products online across the world. They have an official affiliate system that allows affiliate marketers like you to recommend Amazon products to your website’s audience and earn an affiliate commission. […] The post How to Create an Amazon Affiliate Store (Step by Step) appeared first on IsItWP - Free WordPress Theme Detector. Full Article WordPress Tutorials amazon affiliate store amazon affiliate store with wordpress create an amazon affiliate store create an amazon affiliate store with wordpress how to create an amazon affiliate store
ia 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
ia Every Journey Starts with That First Step, Especially with TBI and/or PTSD By feedproxy.google.com Published On :: Mon, 09 Dec 2013 00:00:00 EST Adam says that like drill and ceremony and calling cadence, which start with a first step, so does recovery from a brain injury and/or PTSD. Full Article
ia 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
ia Troops to receive Purple Hearts for injuries during Iranian missile barrage on al-Asad airbase in Iraq By feedproxy.google.com Published On :: Wednesday, April 29, 2020 - 1:50pm There will be Purple Hearts awarded to troops injured during the Jan. 8 Iranian missile barrage on the al-Asad airbase in Iraq, a defense official told Military Times. Full Article
ia 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
ia Self Reliance + Personal Uprising with John Jantsch By feedproxy.google.com Published On :: Wed, 13 Nov 2019 14:01:38 +0000 John Jantsch is a veteran marketer. He’s written several bestselling books including Duct Tape Marketing and The Referral Engine. He’s out with a new book called the Self-Reliant Entrepreneur: 366 Daily Meditations to Feed Your Soul and Grow Your Business As you might know, I’m a bit of a fan of daily habits, so of course John gives us a little preview into some of the daily explorations of thoughts and writings from notable American authors. Of course, that’s not all… we also get into: We go deep into following your own path and listening to your intuition. What we can learn from rabble rousers of our history and those who embraced counter culture to follow their own beliefs. The role that self-awareness has in pursuing our dreams. and much more. Enjoy! FOLLOW JOHN: facebook | 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 […] The post Self Reliance + Personal Uprising with John Jantsch appeared first on Chase Jarvis Photography. Full Article Business chasejarvisLIVE Podcast Counter Culture Inspiration marketing meditation
ia The Code of the Extraordinary Mind with Vishen Lakhiani By feedproxy.google.com Published On :: Tue, 07 Apr 2020 13:00:01 +0000 Join me + bestselling author Vishen Lakhiani LIVE Tuesday April 7 at 6:30pm PST. Vishen Lakhiani is one of today’s most influential minds in the fields of education and human consciousness. He is the founder of Mindvalley University and its 2 million-strong student base and creator of the Quests learning platform: a next-generation method of online learning, which attains an unheard-of 60% completion rate on courses, in an industry where 8% is average. Vishen’s book, The Code of the Extraordinary Mind, made the New York Times Business Best Sellers List, and hit the coveted #1 spot on Amazon five times in 2017. Enjoy! FOLLOW VISHEN: instagram | facebook | website Listen to the Podcast coming soon … 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 The Code of the Extraordinary Mind with Vishen Lakhiani appeared first on Chase Jarvis Photography. Full Article chasejarvisLIVE Podcast
ia Mirage JS Deep Dive: Understanding Mirage JS Models And Associations (Part 1) By feedproxy.google.com Published On :: Thu, 30 Apr 2020 09:30:00 +0000 Mirage JS is helping simplify modern front-end development by providing the ability for front-end engineers to craft applications without relying on an actual back-end service. In this article, I’ll be taking a framework-agnostic approach to show you Mirage JS models and associations. If you haven’t heard of Mirage JS, you can read my previous article in which I introduce it and also integrate it with the progressive framework Vue.js. Full Article
ia eagereyesTV Episode 2: Unit Charts, Dot Plots, ISOTYPE, and What Makes Them Special By eagereyes.org Published On :: Wed, 09 Oct 2019 07:17:21 +0000 Charts usually show values as visual properties, like the length in a bar chart, the location in a scatterplot, the area in a bubble chart, etc. Unit charts show values as multiples instead. One famous example of these charts is called ISOTYPE, and you may have seen them in information graphics as well. They’re an […] Full Article Blog 2019 eagereyesTV
ia 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
ia Asian Handicap Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:04:59 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/asian-handicap-picks-monday-18-september-2017/Asian Handicap Picks *** Monday *** 18 September 2017 ASIAN HANDICAP PICKS To return: ??? USD Odds: 5.83 Stake: 100 USD Starting in Teams Our Prediction goes for Odds Lokomotiv Moscow - Amkar Soccer: Russia - Premier League L. Moscow -0.5 1.55 Odd -… Full Article asian handicap picks asian handicap tips ASIAN HANDICAP Monday Matches
ia Asian Handicap Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:22 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/asian-handicap-picks-tuesday-19-september-2017/Asian Handicap Picks *** Tuesday *** 19 September 2017 ASIAN HANDICAP PICKS To return: ??? USD Odds: 4.08 Stake: 100 USD Starting in Teams Our Prediction goes for Odds West Ham - Bolton Soccer: England - Carabao Cup West Ham -0.5 1.55 Bologna - Inter Soccer:… Full Article asian handicap picks asian handicap tips ASIAN HANDICAP Tuesday Matches
ia Non-associative Frobenius algebras for simply laced Chevalley groups. (arXiv:2005.02625v1 [math.RA] CROSS LISTED) By arxiv.org Published On :: We provide an explicit construction for a class of commutative, non-associative algebras for each of the simple Chevalley groups of simply laced type. Moreover, we equip these algebras with an associating bilinear form, which turns them into Frobenius algebras. This class includes a 3876-dimensional algebra on which the Chevalley group of type E8 acts by automorphisms. We also prove that these algebras admit the structure of (axial) decomposition algebras. Full Article
ia 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
ia Almost invariant subspaces of the shift operator on vector-valued Hardy spaces. (arXiv:2005.02243v2 [math.FA] UPDATED) By arxiv.org Published On :: In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space. Full Article
ia 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
ia Resonances as Viscosity Limits for Exponentially Decaying Potentials. (arXiv:2005.01257v2 [math.SP] UPDATED) By arxiv.org Published On :: We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to the case of exponentially decaying potentials. That means that the eigenvalues of $-Delta + V - iepsilon x^2$, $|V(x)|leq e^{-2gamma |x|}$ converge, as $ epsilon o 0+ $, to the poles of the meromorphic continuation of $ ( -Delta + V -lambda^2 )^{-1} $ uniformly on compact subsets of $ extrm{Re},lambda>0$, $ extrm{Im},lambda>-gamma$, $arglambda > pi/8$. Full Article
ia 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
ia Complete reducibility: Variations on a theme of Serre. (arXiv:2004.14604v2 [math.GR] UPDATED) By arxiv.org Published On :: In this note, we unify and extend various concepts in the area of $G$-complete reducibility, where $G$ is a reductive algebraic group. By results of Serre and Bate--Martin--R"{o}hrle, the usual notion of $G$-complete reducibility can be re-framed as a property of an action of a group on the spherical building of the identity component of $G$. We show that other variations of this notion, such as relative complete reducibility and $sigma$-complete reducibility, can also be viewed as special cases of this building-theoretic definition, and hence a number of results from these areas are special cases of more general properties. Full Article
ia Lagrangian geometry of matroids. (arXiv:2004.13116v2 [math.CO] UPDATED) By arxiv.org Published On :: We introduce the conormal fan of a matroid M, which is a Lagrangian analog of the Bergman fan of M. We use the conormal fan to give a Lagrangian interpretation of the Chern-Schwartz-MacPherson cycle of M. This allows us to express the h-vector of the broken circuit complex of M in terms of the intersection theory of the conormal fan of M. We also develop general tools for tropical Hodge theory to prove that the conormal fan satisfies Poincar'e duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. The Lagrangian interpretation of the Chern-Schwartz-MacPherson cycle of M, when combined with the Hodge-Riemann relations for the conormal fan of M, implies Brylawski's and Dawson's conjectures that the h-vectors of the broken circuit complex and the independence complex of M are log-concave sequences. Full Article
ia Differentiating through Log-Log Convex Programs. (arXiv:2004.12553v2 [math.OC] UPDATED) By arxiv.org Published On :: We show how to efficiently compute the derivative (when it exists) of the solution map of log-log convex programs (LLCPs). These are nonconvex, nonsmooth optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs. We focus specifically on LLCPs generated by disciplined geometric programming, a grammar consisting of a set of atomic functions with known log-log curvature and a composition rule for combining them. We represent a parametrized LLCP as the composition of a smooth transformation of parameters, a convex optimization problem, and an exponential transformation of the convex optimization problem's solution. The derivative of this composition can be computed efficiently, using recently developed methods for differentiating through convex optimization problems. We implement our method in CVXPY, a Python-embedded modeling language and rewriting system for convex optimization. In just a few lines of code, a user can specify a parametrized LLCP, solve it, and evaluate the derivative or its adjoint at a vector. This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters. We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow. Finally, we present applications to designing queuing systems and fitting structured prediction models. Full Article
ia Triangles in graphs without bipartite suspensions. (arXiv:2004.11930v2 [math.CO] UPDATED) By arxiv.org Published On :: Given graphs $T$ and $H$, the generalized Tur'an number ex$(n,T,H)$ is the maximum number of copies of $T$ in an $n$-vertex graph with no copies of $H$. Alon and Shikhelman, using a result of ErdH os, determined the asymptotics of ex$(n,K_3,H)$ when the chromatic number of $H$ is greater than 3 and proved several results when $H$ is bipartite. We consider this problem when $H$ has chromatic number 3. Even this special case for the following relatively simple 3-chromatic graphs appears to be challenging. The suspension $widehat H$ of a graph $H$ is the graph obtained from $H$ by adding a new vertex adjacent to all vertices of $H$. We give new upper and lower bounds on ex$(n,K_3,widehat{H})$ when $H$ is a path, even cycle, or complete bipartite graph. One of the main tools we use is the triangle removal lemma, but it is unclear if much stronger statements can be proved without using the removal lemma. Full Article
ia Hessian quotient equations on exterior domains. (arXiv:2004.06908v2 [math.AP] UPDATED) By arxiv.org Published On :: It is well-known that a celebrated J"{o}rgens-Calabi-Pogorelov theorem for Monge-Amp`ere equations states that any classical (viscosity) convex solution of $det(D^2u)=1$ in $mathbb{R}^n$ must be a quadratic polynomial. Therefore, it is an interesting topic to study the existence and uniqueness theorem of such fully nonlinear partial differential equations' Dirichlet problems on exterior domains with suitable asymptotic conditions at infinity. As a continuation of the works of Caffarelli-Li for Monge-Amp`ere equation and of Bao-Li-Li for $k$-Hessian equations, this paper is devoted to the solvability of the exterior Dirichlet problem of Hessian quotient equations $sigma_k(lambda(D^2u))/sigma_l(lambda(D^2u))=1$ for any $1leq l<kleq n$ in all dimensions $ngeq 2$. By introducing the concept of generalized symmetric subsolutions and then using the Perron's method, we establish the existence theorem for viscosity solutions, with prescribed asymptotic behavior which is close to some quadratic polynomial at infinity. Full Article
ia On the Asymptotic $u_0$-Expected Flooding Time of Stationary Edge-Markovian Graphs. (arXiv:2004.03660v4 [math.PR] UPDATED) By arxiv.org Published On :: Consider that $u_0$ nodes are aware of some piece of data $d_0$. This note derives the expected time required for the data $d_0$ to be disseminated through-out a network of $n$ nodes, when communication between nodes evolves according to a graphical Markov model $overline{ mathcal{G}}_{n,hat{p}}$ with probability parameter $hat{p}$. In this model, an edge between two nodes exists at discrete time $k in mathbb{N}^+$ with probability $hat{p}$ if this edge existed at $k-1$, and with probability $(1-hat{p})$ if this edge did not exist at $k-1$. Each edge is interpreted as a bidirectional communication link over which data between neighbors is shared. The initial communication graph is assumed to be an Erdos-Renyi random graph with parameters $(n,hat{p})$, hence we consider a emph{stationary} Markov model $overline{mathcal{G}}_{n,hat{p}}$. The asymptotic "$u_0$-expected flooding time" of $overline{mathcal{G}}_{n,hat{p}}$ is defined as the expected number of iterations required to transmit the data $d_0$ from $u_0$ nodes to $n$ nodes, in the limit as $n$ approaches infinity. Although most previous results on the asymptotic flooding time in graphical Markov models are either emph{almost sure} or emph{with high probability}, the bounds obtained here are emph{in expectation}. However, our bounds are tighter and can be more complete than previous results. Full Article
ia The $kappa$-Newtonian and $kappa$-Carrollian algebras and their noncommutative spacetimes. (arXiv:2003.03921v2 [hep-th] UPDATED) By arxiv.org Published On :: We derive the non-relativistic $c oinfty$ and ultra-relativistic $c o 0$ limits of the $kappa$-deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without a cosmological constant. We apply the theory of Lie bialgebra contractions to the Poisson version of the $kappa$-(A)dS quantum algebra, and quantize the resulting contracted Poisson-Hopf algebras, thus giving rise to the $kappa$-deformation of the Newtonian (Newton-Hooke and Galilei) and Carrollian (Para-Poincar'e, Para-Euclidean and Carroll) quantum symmetries, including their deformed quadratic Casimir operators. The corresponding $kappa$-Newtonian and $kappa$-Carrollian noncommutative spacetimes are also obtained as the non-relativistic and ultra-relativistic limits of the $kappa$-(A)dS noncommutative spacetime. These constructions allow us to analyze the non-trivial interplay between the quantum deformation parameter $kappa$, the curvature parameter $eta$ and the speed of light parameter $c$. Full Article
ia Stationary Gaussian Free Fields Coupled with Stochastic Log-Gases via Multiple SLEs. (arXiv:2001.03079v3 [math.PR] UPDATED) By arxiv.org Published On :: Miller and Sheffield introduced a notion of an imaginary surface as an equivalence class of pairs of simply connected proper subdomains of $mathbb{C}$ and Gaussian free fields (GFFs) on them under conformal equivalence. They considered the situation in which the conformal transformations are given by a chordal Schramm--Loewner evolution (SLE). In the present paper, we construct processes of GFF on $mathbb{H}$ (the upper half-plane) and $mathbb{O}$ (the first orthant of $mathbb{C}$) by coupling zero-boundary GFFs on these domains with stochastic log-gases defined on parts of boundaries of the domains, $mathbb{R}$ and $mathbb{R}_+$, called the Dyson model and the Bru--Wishart process, respectively, using multiple SLEs evolving in time. We prove that the obtained processes of GFF are stationary. The stationarity defines an equivalence relation between GFFs, and the pairs of time-evolutionary domains and stationary processes of GFF will be regarded as generalizations of the imaginary surfaces studied by Miller and Sheffield. Full Article
ia Eigenvalues of the Finsler $p$-Laplacian on varying domains. (arXiv:1912.00152v4 [math.AP] UPDATED) By arxiv.org Published On :: We study the dependence of the first eigenvalue of the Finsler $p$-Laplacian and the corresponding eigenfunctions upon perturbation of the domain and we generalize a few results known for the standard $p$-Laplacian. In particular, we prove a Frech'{e}t differentiability result for the eigenvalues, we compute the corresponding Hadamard formulas and we prove a continuity result for the eigenfunctions. Finally, we briefly discuss a well-known overdetermined problem and we show how to deduce the Rellich-Pohozaev identity for the Finsler $p$-Laplacian from the Hadamard formula. Full Article