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eagereyesTV Episode 2: Unit Charts, Dot Plots, ISOTYPE, and What Makes Them Special

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 […]




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Paper: Evidence for Area as the Primary Visual Cue in Pie Charts

How we read pie charts is still an open question: is it angle? Is it area? Is it arc length? In a study I'm presenting as a short paper at the IEEE VIS conference in Vancouver next week, I tried to tease the visual cues apart – using modeling and 3D pie charts. The big […]




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eagereyesTV Episode 3: 3D Pie Charts For Science!

How do we read pie charts? This seems like a straightforward question to answer, but it turns out that most of what you’ve probably heard is wrong. We don’t actually know whether we use angle, area, or arc length. In a short paper at the VIS conference this week I’m presenting a study I ran […]




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eagereyesTV: What is Data? Part 1, File Formats and Intent

We all use data all the time, but what exactly is data? How do different programs know what to do with our data? How is visualizing data different from other uses of data? And isn’t everything inside a computer data in the end? The latest episode of eagereyesTV looks at what data is and what […]




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Review: Alberto Cairo, How Charts Lie

Alberto Cairo’s new book, How Charts Lie, takes readers on a tour of how charts are used and misused, and teaches them how to not be misled. It’s a useful book for both makers and consumers of charts, in the news, business, and pretty much anywhere else. When Alberto started talking about the title on […]




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ISOTYPE Book: Young, Prager, There’s Work for All

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 […]




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eagereyesTV: What Is Data? Part 2, Are Images Data?

Visualization turns data into images, but are images themselves data? There are often claims that they are, but then you mostly see the images themselves without much additional data. In this video, I look at image browsers, a project classifying selfies along a number of criteria, and the additional information stored in HEIC that makes […]




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The Visual Evolution of the “Flattening the Curve” Information Graphic

Communication has been quite a challenge during the COVID-19 pandemic, and data visualization hasn't been the most helpful given the low quality of the data – see Amanda Makulec's plea to think harder about making another coronavirus chart. A great example of how to do things right is the widely-circulated Flatten the Curve information graphic/cartoon. […]




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In Praise of the Diagonal Reference Line

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 […]




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Corners Picks *** Sunday *** 17 September 2017

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




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Half Time Picks *** Sunday *** 17 September 2017

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 -…




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Goals Scored Picks *** Sunday *** 17 September 2017

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…




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Fulltime Result Picks *** Sunday *** 17 September 2017

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…




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Double Chance Picks *** Sunday *** 17 September 2017

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…




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Both teams to score Picks *** Sunday *** 17 September 2017

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:…



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Double Chance Picks *** Monday *** 18 September 2017

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 -…




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Fulltime Result Picks *** Monday *** 18 September 2017

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 -…




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Both teams to score Picks *** Monday *** 18 September 2017

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…



  • both teams to score picks
  • both teams to score tips
  • Both teams to score
  • Monday Matches

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Corners Picks *** Monday *** 18 September 2017

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




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Asian Handicap Picks *** Monday *** 18 September 2017

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 -…




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Goals Scored Picks *** Monday *** 18 September 2017

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…




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Half Time Picks *** Monday *** 18 September 2017

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…




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Goals Scored Picks *** Tuesday *** 19 September 2017

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 -…




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Half Time Picks *** Tuesday *** 19 September 2017

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…




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Asian Handicap Picks *** Tuesday *** 19 September 2017

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:…




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Double Chance Picks *** Tuesday *** 19 September 2017

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…




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Fulltime Result Picks *** Tuesday *** 19 September 2017

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…




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Corners Picks *** Tuesday *** 19 September 2017

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




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Both teams to score Picks *** Tuesday *** 19 September 2017

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 -…



  • both teams to score picks
  • both teams to score tips
  • Both teams to score
  • Tuesday Matches

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Non-associative Frobenius algebras for simply laced Chevalley groups. (arXiv:2005.02625v1 [math.RA] CROSS LISTED)

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.




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The entropy of holomorphic correspondences: exact computations and rational semigroups. (arXiv:2004.13691v1 [math.DS] CROSS LISTED)

We study two notions of topological entropy of correspondences introduced by Friedland and Dinh-Sibony. Upper bounds are known for both. We identify a class of holomorphic correspondences whose entropy in the sense of Dinh-Sibony equals the known upper bound. This provides an exact computation of the entropy for rational semigroups. We also explore a connection between these two notions of entropy.




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Regular Tur'an numbers of complete bipartite graphs. (arXiv:2005.02907v2 [math.CO] UPDATED)

Let $mathrm{rex}(n, F)$ denote the maximum number of edges in an $n$-vertex graph that is regular and does not contain $F$ as a subgraph. We give lower bounds on $mathrm{rex}(n, F)$, that are best possible up to a constant factor, when $F$ is one of $C_4$, $K_{2,t}$, $K_{3,3}$ or $K_{s,t}$ when $t>s!$.




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A Marstrand type slicing theorem for subsets of $mathbb{Z}^2 subset mathbb{R}^2$ with the mass dimension. (arXiv:2005.02813v2 [math.CO] UPDATED)

We prove a Marstrand type slicing theorem for the subsets of the integer square lattice. This problem is the dual of the corresponding projection theorem, which was considered by Glasscock, and Lima and Moreira, with the mass and counting dimensions applied to subsets of $mathbb{Z}^{d}$. In this paper, more generally we deal with a subset of the plane that is $1$ separated, and the result for subsets of the integer lattice follow as a special case. We show that the natural slicing question in this setting is true with the mass dimension.




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On the finiteness of ample models. (arXiv:2005.02613v2 [math.AG] UPDATED)

In this paper, we generalize the finiteness of models theorem in [BCHM06] to Kawamata log terminal pairs with fixed Kodaira dimension. As a consequence, we prove that a Kawamata log terminal pair with $mathbb{R}-$boundary has a canonical model, and can be approximated by log pairs with $mathbb{Q}-$boundary and the same canonical model.




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Arthur packets for $G_2$ and perverse sheaves on cubics. (arXiv:2005.02438v2 [math.RT] UPDATED)

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.




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Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED)

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.