k Old and broken – but oh so beautiful By feedproxy.google.com Published On :: Thu, 15 Nov 2018 16:29:09 +0000 For years now I’ve had a thing for old doorways with big old locks – now on Cyprus it escalated a bit due to the number of absolutely beautiful old doors. Many of them not restored but broken or run […] Full Article Photo Trip
k Why Collaborative Coding Is The Ultimate Career Hack By feedproxy.google.com Published On :: Fri, 24 Apr 2020 10:30:00 +0000 Taking your first steps in programming is like picking up a foreign language. At first, the syntax makes no sense, the vocabulary is unfamiliar, and everything looks and sounds unintelligible. If you’re anything like me when I started, fluency feels impossible. I promise it isn’t. When I began coding, the learning curve hit me — hard. I spent ten months teaching myself the basics while trying to stave off feelings of self-doubt that I now recognize as imposter syndrome. Full Article
k Implementing Dark Mode In React Apps Using styled-components By feedproxy.google.com Published On :: Tue, 28 Apr 2020 10:30:00 +0000 One of the most commonly requested software features is dark mode (or night mode, as others call it). We see dark mode in the apps that we use every day. From mobile to web apps, dark mode has become vital for companies that want to take care of their users’ eyes. Dark mode is a supplemental feature that displays mostly dark surfaces in the UI. Most major companies (such as YouTube, Twitter, and Netflix) have adopted dark mode in their mobile and web apps. Full Article
k 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
k A Complete Guide To Mechanical Keyboards By feedproxy.google.com Published On :: Wed, 06 May 2020 10:30:00 +0000 About six years ago, a colleague I’ll call Tom, because that’s his name, forwarded me a link to the ‘WASD CODE’; a keyboard focused on the needs of programmers, designed with the help of Stack Overflow’s Jeff Atwood. I had no idea at the time that there were people actually dedicating themselves to creating keyboards beyond the stock fare shipping with computers. As I read and re-read the blurb, I was smitten. Full Article
k Reducing Design Risk By feedproxy.google.com Published On :: Thu, 07 May 2020 10:30:00 +0000 Lean, agile, do more with less. Again, and again, design culture urges us to move quickly and trim research and design operations to the point where design becomes a mere thread in the larger corporate spool. Author and designer Nikki Anderson explains the consequences of this pressure to conduct research at lightning speed: “When we’re asked to synthesize at the speed of light, user research becomes a way for teams to take a shortcut — to invent assumptions based on quickly made correlations, opinions, and quotes. Full Article
k DJI’s new Matrice 300 RTK drone offers a ridiculous 55-minutes of flight time and 2.7kg payload By feedproxy.google.com Published On :: Thu, 07 May 2020 22:27:23 +0000 DJI has announced their new Matrice 300 RTK “flying platform” (big drone) and the Zenmuse H20 hybrid camera series, to provide “a safer and smarter solution” to their enterprise customers. The M300 RTK, DJI says, is their first to integrate modern aviation features, advanced AI, 6-direction sensing and positioning, a UAV health management system and […] The post DJI’s new Matrice 300 RTK drone offers a ridiculous 55-minutes of flight time and 2.7kg payload appeared first on DIY Photography. Full Article DIY dji DJI M300 RTK DJI Matrice 300 RTK Matrice 300 RTK
k Photography Life makes all their paid premium courses free By feedproxy.google.com Published On :: Fri, 08 May 2020 09:10:59 +0000 Photography Life has just contributed to the selection of online courses that you can take for free. While their premim courses are normally paid $150 per course, you can now access them free of charge. The founders have released them on YouTube, available for everyone to watch. The Photography Life team came to the decision […] The post Photography Life makes all their paid premium courses free appeared first on DIY Photography. Full Article news Course free class online courses Photography Life
k Nikon has confirmed that their flagship D6 DSLR will start shipping on May 21st By feedproxy.google.com Published On :: Fri, 08 May 2020 11:06:35 +0000 It feels like forever since Nikon announced their newest flagship DSLR; the Nikon D6. It’s actually only been three months, but that hasn’t stopped some people getting anxious. Recently, customers were being told that the D6 would start shipping right about now, but now Nikon has officially come out to announce that the Nikon D6 […] The post Nikon has confirmed that their flagship D6 DSLR will start shipping on May 21st appeared first on DIY Photography. Full Article news Availability Nikon D6
k #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
k Watch YouTube’s most informed sock puppet teach you how to shoot with manual exposure By feedproxy.google.com Published On :: Fri, 08 May 2020 17:29:41 +0000 For those who’ve never seen TheCrafsMan SteadyCraftin on YouTube, you’re in for a treat – even if you already understand everything contained within this 25-minute video. For those who have, you know exactly what to expect. I’ve been following this rather unconventional channel for a while now. It covers a lot of handy DIY and […] The post Watch YouTube’s most informed sock puppet teach you how to shoot with manual exposure appeared first on DIY Photography. Full Article Tutorials exposure Exposure Triangle photography basics SteadyCraftin TheCraftsMan
k Godox’s new SL150/SL200 Mark II LED lights offer fanless “silent mode” operation By feedproxy.google.com Published On :: Sat, 09 May 2020 11:14:24 +0000 The Godox SL series LED lights have proven to be extremely popular due to their low cost. Two of the models in that range, the SL150 and SL200 have seen a Mark II update today, according to an email that Godox has been sending out today. One of the features of the new SL150II and […] The post Godox’s new SL150/SL200 Mark II LED lights offer fanless “silent mode” operation appeared first on DIY Photography. Full Article news Gear Announcement godox LED lights SL150II SL200II
k 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
k Prolific, the (Much Better) Mechnical Turk Alternative By eagereyes.org Published On :: Tue, 05 Nov 2019 07:17:08 +0000 Prolific is a crowd-sourcing platform for running studies. In contrast to the widely-used Mechanical Turk, it’s specific to studies, has a much better interface, pricing that’s fair to participants, and useful filters to find the right people for your study. Amazon's Mechanical Turk is used for many empirical studies published in the visualization literature, but […] Full Article Blog 2019
k ISOTYPE Book: Young, Prager, There’s Work for All By eagereyes.org Published On :: Mon, 02 Dec 2019 01:54:26 +0000 This book from 1945 contains a very interesting mix of different charts made by the ISOTYPE Institute, some classic and some quite unusual. As a book about labor and unemployment, it also makes extensive use of Gerd Arntz’s famous unemployed man icon. Michael Young and Theodor Prager’s There’s Work for All is part of a […] Full Article ISOTYPE Books isotype
k Corners Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:05:08 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/corners-picks-sunday-17-september-2017/Corners Picks *** Sunday *** 17 September 2017 MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD Starting in Teams Our Prediction Odds Chelsea - Arsenal Soccer: Premier League OVER 9.5 CORNERS 1.55 Full Article corners free picks corners tips and picks MATCH CORNERS Sunday Matches
k Half Time Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:14:31 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/half-time-picks-sunday-17-september-2017/Half Time Picks *** Sunday *** 17 September 2017 HALF TIME PICKS To return: ??? USD Odds: 7.43 Stake: 100 USD Starting in Teams Half Time Our Pick Odds Alaves - Villarreal Soccer: Spain - LaLiga HALF TIME X 2.01 Zenit Petersburg - Ufa Soccer: Russia -… Full Article halftime picks and tips halftime predictions HALF TIME RESULT Sunday Matches
k Goals Scored Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:14:54 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/goals-scored-picks-sunday-17-september-2017/Goals Scored Picks *** Sunday *** 17 September 2017 MATCH GOALS PICKS To return: ??? USD Odds: 6.44 Stake: 100 USD Starting in Teams Our Prediction Odds Amiens - Marseille Soccer: France - Ligue 1 UNDER 2.5 1.85 AC Milan - Udinese Soccer: Italy - Serie A… Full Article over 2.5 goals tips under 2.5 goals tips MATCH GOALS Sunday Matches
k Fulltime Result Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:44:09 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/fulltime-result-picks-sunday-17-september-2017/Fulltime Result Picks *** Sunday *** 17 September 2017 FULLTIME PICKS To return: ??? USD Odds: 3.88 Stake: 100 USD Starting in Teams Our Prediction Odds Waregem - Mouscron Soccer: Belgium - Jupiler League 1 1.61 Sassuolo - Juventus Soccer: Italy - Serie… Full Article fulltime predictions fulltime tips and picks FULLTIME RESULT Sunday Matches
k Double Chance Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:45:05 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/double-chance-picks-sunday-17-september-2017/Double Chance Picks *** Sunday *** 17 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.80 Stake: 100 USD Starting in Teams Our Prediction Odds Las Palmas - Ath Bilbao Soccer: Spain - LaLiga X2 1.45 Chievo - Atalanta Soccer: Italy - Serie… Full Article double chance picks double chance tips DOUBLE CHANCE Sunday Matches
k Both teams to score Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:52:01 -0400 We have a new preview on https://www.007soccerpicks.com/sunday-matches/teams-score-picks-sunday-17-september-2017/Both teams to score Picks *** Sunday *** 17 September 2017 BOTH TEAMS TO SCORE To return: ??? USD Odds: 5.36 Stake: 100 USD Starting in Teams BTS Our Pick Odds Tosno - Spartak Moscow Soccer: Russia - Premier League Both to score NO 1.53 Chelsea - Arsenal Soccer:… Full Article both teams to score picks both teams to score tips Both teams to score Sunday Matches
k Double Chance Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:01:41 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/double-chance-picks-monday-18-september-2017/Double Chance Picks *** Monday *** 18 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.03 Stake: 100 USD Starting in Teams Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga 1X 1.29 AFC Eskilstuna - Sundsvall Soccer: Sweden -… Full Article double chance picks double chance tips DOUBLE CHANCE Monday Matches
k Fulltime Result Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:02:01 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/fulltime-result-picks-monday-18-september-2017/Fulltime Result Picks *** Monday *** 18 September 2017 FULLTIME PICKS To return: ??? USD Odds: 3.77 Stake: 100 USD Starting in Teams Our Prediction Odds Plzen - Zlin Soccer: Czech Republic - 1. Liga 1 1.39 Odd - Aalesund Soccer: Norway -… Full Article fulltime predictions fulltime tips and picks FULLTIME RESULT Monday Matches
k Both teams to score Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:02:38 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/teams-score-picks-monday-18-september-2017/Both teams to score Picks *** Monday *** 18 September 2017 BOTH TEAMS TO SCORE To return: ??? USD Odds: 5.26 Stake: 100 USD Starting in Teams BTS Our Pick Odds Lokomotiv Moscow - Amkar Soccer: Russia - Premier League Both to score NO 1.50 Astra - FC… Full Article both teams to score picks both teams to score tips Both teams to score Monday Matches
k Corners Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:03:55 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/corners-picks-monday-18-september-2017/Corners Picks *** Monday *** 18 September 2017 MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD Starting in Teams Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga OVER 9.5 CORNERS 1.55 Full Article corners picks corners predictions MATCH CORNERS Monday Matches
k 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
k Goals Scored Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:06:27 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/goals-scored-picks-monday-18-september-2017/Goals Scored Picks *** Monday *** 18 September 2017 MATCH GOALS PICKS To return: ??? USD Odds: 4.56 Stake: 100 USD Starting in Teams Our Prediction Odds Astra - FC Viitorul Soccer: Romania - Liga 1 UNDER 2.5 1.60 Espanyol - Celta Vigo Soccer: Spain - LaLiga… Full Article over 2.5 goals tips under 2.5 goals tips MATCH GOALS Monday Matches
k Half Time Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:07:40 -0400 We have a new preview on https://www.007soccerpicks.com/monday-matches/half-time-picks-monday-18-september-2017/Half Time Picks *** Monday *** 18 September 2017 HALF TIME PICKS To return: ??? USD Odds: 8.39 Stake: 100 USD Starting in Teams Half Time Our Pick Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga HALF TIME X 2.07 Lokomotiv Moscow - Amkar Soccer: Russia… Full Article halftime picks and tips halftime predictions HALF TIME RESULT Monday Matches
k Goals Scored Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:01 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/goals-scored-picks-tuesday-19-september-2017/Goals Scored Picks *** Tuesday *** 19 September 2017 MATCH GOALS PICKS To return: ??? USD Odds: 6.27 Stake: 100 USD Starting in Teams Our Prediction Odds Burnley - Leeds Soccer: England - Carabao Cup OVER 2.5 2.00 Schalke - Bayern Munich Soccer: Germany -… Full Article over 2.5 goals tips under 2.5 goals predictions MATCH GOALS Tuesday Matches
k Half Time Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:21 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/half-time-picks-tuesday-19-september-2017/Half Time Picks *** Tuesday *** 19 September 2017 HALF TIME PICKS To return: ??? USD Odds: 6.93 Stake: 100 USD Starting in Teams Half Time Our Pick Odds Crystal Palace - Huddersfield Soccer: England - Carabao Cup HALF TIME X 2.10 FC Augsburg - RB… Full Article halftime picks halftime predictions and tips HALF TIME RESULT Tuesday Matches
k 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
k Double Chance Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:25 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/double-chance-picks-tuesday-19-september-2017/Double Chance Picks *** Tuesday *** 19 September 2017 DOUBLE CHANCE PICKS To return: ??? USD Odds: 1.95 Stake: 100 USD Starting in Teams Our Prediction Odds Bournemouth - Brighton Soccer: England - Carabao Cup 1X 1.20 Wolfsburg - SV Werder Bremen Soccer: Germany… Full Article double chance predictions double chance tips DOUBLE CHANCE Tuesday Matches
k Fulltime Result Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:34 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/fulltime-result-picks-tuesday-19-september-2017/Fulltime Result Picks *** Tuesday *** 19 September 2017 FULLTIME PICKS To return: ??? USD Odds: 5.40 Stake: 100 USD Starting in Teams Our Prediction Odds GAIS - Frej Soccer: Sweden - Superettan 1 1.82 Bologna - Inter Soccer: Italy - Serie… Full Article fulltime picks fulltime predictions and tips FULLTIME RESULT Tuesday Matches
k Corners Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:38 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/corners-picks-tuesday-19-september-2017/Corners Picks *** Tuesday *** 19 September 2017 MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD Starting in Teams Our Prediction Odds Valencia - Malaga Soccer: Spain - LaLiga OVER 9.5 CORNERS 1.55 Full Article corners free tips corners picks MATCH CORNERS Tuesday Matches
k Both teams to score Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:07:46 -0400 We have a new preview on https://www.007soccerpicks.com/tuesday-matches/teams-score-picks-tuesday-19-september-2017/Both teams to score Picks *** Tuesday *** 19 September 2017 BOTH TEAMS TO SCORE To return: ??? USD Odds: 4.75 Stake: 100 USD Starting in Teams BTS Our Pick Odds Schalke - Bayern Munich Soccer: Germany - Bundesliga Both to score YES 1.60 Leicester -… Full Article both teams to score picks both teams to score tips Both teams to score Tuesday Matches
k 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
k Arthur packets for $G_2$ and perverse sheaves on cubics. (arXiv:2005.02438v2 [math.RT] UPDATED) By arxiv.org Published On :: This paper begins the project of defining Arthur packets of all unipotent representations for the $p$-adic exceptional group $G_2$. Here we treat the most interesting case by defining and computing Arthur packets with component group $S_3$. We also show that the distributions attached to these packets are stable, subject to a hypothesis. This is done using a self-contained microlocal analysis of simple equivariant perverse sheaves on the moduli space of homogeneous cubics in two variables. In forthcoming work we will treat the remaining unipotent representations and their endoscopic classification and strengthen our result on stability. Full Article
k 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
k 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
k 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
k Output feedback stochastic MPC with packet losses. (arXiv:2004.02591v2 [math.OC] UPDATED) By arxiv.org Published On :: The paper considers constrained linear systems with stochastic additive disturbances and noisy measurements transmitted over a lossy communication channel. We propose a model predictive control (MPC) law that minimizes a discounted cost subject to a discounted expectation constraint. Sensor data is assumed to be lost with known probability, and data losses are accounted for by expressing the predicted control policy as an affine function of future observations, which results in a convex optimal control problem. An online constraint-tightening technique ensures recursive feasibility of the online optimization and satisfaction of the expectation constraint without bounds on the distributions of the noise and disturbance inputs. The cost evaluated along trajectories of the closed loop system is shown to be bounded by the optimal predicted cost. A numerical example is given to illustrate these results. Full Article
k The Shearlet Transform and Lizorkin Spaces. (arXiv:2003.06642v2 [math.FA] UPDATED) By arxiv.org Published On :: We prove a continuity result for the shearlet transform when restricted to the space of smooth and rapidly decreasing functions with all vanishing moments. We define the dual shearlet transform, called here the shearlet synthesis operator, and we prove its continuity on the space of smooth and rapidly decreasing functions over $mathbb{R}^2 imesmathbb{R} imesmathbb{R}^ imes$. Then, we use these continuity results to extend the shearlet transform to the space of Lizorkin distributions, and we prove its consistency with the classical definition for test functions. Full Article
k Weak-strong uniqueness for an elastic plate interacting with the Navier Stokes equation. (arXiv:2003.04049v2 [math.AP] UPDATED) By arxiv.org Published On :: We show weak-strong uniqueness and stability results for the motion of a two or three dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic plate of Koiter type. The plate is situated at the top of the fluid and as such determines the variable part of a time changing domain (that is hence a part of the solution) containing the fluid. The uniqueness result is a consequence of a stability estimate where the difference of two solutions is estimated by the distance of the initial values and outer forces. For that we introduce a methodology that overcomes the problem that the two (variable in time) domains of the fluid velocities and pressures are not the same. The estimate holds under the assumption that one of the two weak solutions possesses some additional higher regularity. The additional regularity is exclusively requested for the velocity of one of the solutions resembling the celebrated Ladyzhenskaya-Prodi-Serrin conditions in the framework of variable domains. Full Article
k 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
k $5$-rank of ambiguous class groups of quintic Kummer extensions. (arXiv:2003.00761v2 [math.NT] UPDATED) By arxiv.org Published On :: Let $k ,=, mathbb{Q}(sqrt[5]{n},zeta_5)$, where $n$ is a positive integer, $5^{th}$ power-free, whose $5-$class group is isomorphic to $mathbb{Z}/5mathbb{Z} imesmathbb{Z}/5mathbb{Z}$. Let $k_0,=,mathbb{Q}(zeta_5)$ be the cyclotomic field containing a primitive $5^{th}$ root of unity $zeta_5$. Let $C_{k,5}^{(sigma)}$ the group of the ambiguous classes under the action of $Gal(k/k_0)$ = $<sigma>$. The aim of this paper is to determine all integers $n$ such that the group of ambiguous classes $C_{k,5}^{(sigma)}$ has rank $1$ or $2$. Full Article
k Solitary wave solutions and global well-posedness for a coupled system of gKdV equations. (arXiv:2002.09531v2 [math.AP] UPDATED) By arxiv.org Published On :: In this work we consider the initial-value problem associated with a coupled system of generalized Korteweg-de Vries equations. We present a relationship between the best constant for a Gagliardo-Nirenberg type inequality and a criterion for the existence of global solutions in the energy space. We prove that such a constant is directly related to the existence problem of solitary-wave solutions with minimal mass, the so called ground state solutions. To guarantee the existence of ground states we use a variational method. Full Article
k Three-point Functions in $mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence. (arXiv:2002.07216v2 [hep-th] UPDATED) By arxiv.org Published On :: We compute non-extremal three-point functions of scalar operators in $mathcal{N}=4$ super Yang-Mills at tree-level in $g_{YM}$ and at finite $N_c$, using the operator basis of the restricted Schur characters. We make use of the diagrammatic methods called quiver calculus to simplify the three-point functions. The results involve an invariant product of the generalized Racah-Wigner tensors ($6j$ symbols). Assuming that the invariant product is written by the Littlewood-Richardson coefficients, we show that the non-extremal three-point functions satisfy the large $N_c$ background independence; correspondence between the string excitations on $AdS_5 imes S^5$ and those in the LLM geometry. Full Article
k EMSx: A Numerical Benchmark for Energy Management Systems. (arXiv:2001.00450v2 [math.OC] UPDATED) By arxiv.org Published On :: Inserting renewable energy in the electric grid in a decentralized manneris a key challenge of the energy transition. However, at local scale, both production and demand display erratic behavior, which makes it delicate to match them. It is the goal of Energy Management Systems (EMS) to achieve such balance at least cost. We present EMSx, a numerical benchmark for testing control algorithms for the management of electric microgrids equipped with a photovoltaic unit and an energy storage system. EMSx is made of three key components: the EMSx dataset, provided by Schneider Electric, contains a diverse pool of realistic microgrids with a rich collection of historical observations and forecasts; the EMSx mathematical framework is an explicit description of the assessment of electric microgrid control techniques and algorithms; the EMSx software EMSx.jl is a package, implemented in the Julia language, which enables to easily implement a microgrid controller and to test it. All components of the benchmark are publicly available, so that other researchers willing to test controllers on EMSx may reproduce experiments easily. Eventually, we showcase the results of standard microgrid control methods, including Model Predictive Control, Open Loop Feedback Control and Stochastic Dynamic Programming. Full Article
k 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
k Unbounded Kobayashi hyperbolic domains in $mathbb C^n$. (arXiv:1911.05632v2 [math.CV] UPDATED) By arxiv.org Published On :: We first give a sufficient condition, issued from pluripotential theory, for an unbounded domain in the complex Euclidean space $mathbb C^n$ to be Kobayashi hyperbolic. Then, we construct an example of a rigid pseudoconvex domain in $mathbb C^3$ that is Kobayashi hyperbolic and has a nonempty core. In particular, this domain is not biholomorphic to a bounded domain in $mathbb C^3$ and the mentioned above sufficient condition for Kobayashi hyperbolicity is not necessary. Full Article