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.

For the first time, it seems, the entire world knows what it’s like to live inside my head.

Theme: Debauchery Submit your best work expressing your view/perspective of what debauchery means to you. Solo exhibition and an accompanying Book during our Winter season. Image requirements: 10 [...]

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Sections: Open Color (PID color) Open Monochrome (PID monochrome) Nature (ND) Travel (PTD) The maximum number of works is four (4) per section. (Total 16 [...]

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By Melissa Hellmann Yes! Magazine A new report revealed surprising results when Oakland overhauled its lunch menu at 100-plus schools by serving less meat and more fruits and vegetables. When her eldest son was in elementary school in the Oakland … Continue reading →

By David Suzuki David Suzuki Foundation When the Aztecs founded Tenochtitlán in 1325, they built it on a large island on Lake Texcoco. Its eventual 200,000-plus inhabitants relied on canals, levees, dikes, floating gardens, aqueducts and bridges for defence, transportation, … Continue reading →

By Rachel Cernansky Ensia When the Clean Air Act of 1970 became law, members of the business community in the United States responded with opposition. Such regulations are a drag on growth, some economists say, for individual businesses and for … Continue reading →

By Mason Adams Yes! Magazine A program in eastern Kentucky is retraining miners in industries that help mitigate the environmental impacts of mining on communities. Like many men raised in eastern Kentucky, Frank Morris spent a chunk of his working … Continue reading →

The United States faces a major meat shortage due to virus infections at processing plants. It means millions of pigs could be put down without ever making it to table. This is what the predicament looks like on a Minnesota farm. ... According to the Minnesota Pork Producers Association, an estimated 10,000 pigs are being euthanised every day in the state. ... [Farmer Mike Boerboom:] "On the same day that we're euthanising pigs - and it's a horrible day - is the same day that a grocery store 10 miles away may not get a shipment of pork. It's just that the supply chain is broken at this point."

The notoriously independent-minded federal judge who once said he was disgusted by the conduct of Michael Flynn could block the administration's bid to drop criminal charges against the former adviser to President Donald Trump, legal experts said.

Astronomers have produced a remarkable new image of Jupiter, tracing the glowing regions of warmth that lurk beneath the gas giant's cloud tops. The picture was captured in infared by the Gemini North Telescope in Hawaii, and is one of the sharpest observations of the planet ever made from the ground.

Today’s episode is going to rock your world … pun fully intended because today’s guest is an actual rock star. You may remember a band called Presidents of the United States of America. They took the world by storm in 1995 with their self titled album, Presidents of the United States of America playing songs like Lump and Peaches. Yes, that’s right. My guest today is frontman Chris Ballew. Chris and I have been friends for years, including collaborating on a music video together and at least one live performance (gotta listen to find out ;). Of course we get into his musical journey, a meteoric rise to success, and then realizing something was missing. We take some deep dives into Chris’ creative process, including his method for capturing his small bits and later using those to write new works, including his new project Casper Babypants. In this episode: Consider what kind of artist you are and how you relate to other artists. For years Chris played in bands, but what he learned about himself is his work is actually solo. Don’t censor yourself while you’re creating. Get it out, no matter how crazy or ridiculous or unusual and then […]

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Chris Guillebeau has traveled to 193 countries. And just to be clear, that is all of the countries recognized on the planet. He is the first person to do it before the age of 35. More importantly, he has built online businesses, side hustles, and mastered the art of a non-conforming lifestyle since he was 19 years old. There’s almost nobody better person equipped to talk about starting lots of businesses. He has a daily podcast called Side Hustle School where he’s featured more than 850 different side hustle businesses + featured many in his new book called 100 Side Hustles. Chris also started half a dozen or more himself, started one of my favorite conferences, The World Domination Summit, and is a New York Times bestselling author of books like the $100 Start Up and The Art of Non-Conformity and many others. This guy is a beast and he’s so savvy, so humble. In this episode: We go into details about some of Chris’ favorite side hustle businesses he’s come across in his podcast & writing this book – what are some of the most common traits and failures. Chris shares his experience with depression, how he’s faced it, […]

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As creators and entrepreneurs, getting our ideas out in the world is critical. And today, I have my long time friend Jason Harris in the hot seat to help us with just that. Jason is the founder and CEO of the award winning creative agency Mekanism. He is one of Creativity Mag’s most creative people in business, Top 100 People Who Make Advertising Great and about 52 other awards in the creative space. You’ve certainly seen his work if you’ve watched Superbowl commercials or heard of Peloton, Ben & Jerrys, HBO, and more. He also is one of the people that I look up to as a model of giving back. He donates a huge amount of his time to causes in which he believes and uses his marketing savvy for doing good in the world. I’m super inspired by our conversation today for so many reasons, but here’s handful to whet your palette: Of course we get into his new book The Soulful Art of Persuasion, in which Jason breaks down the art of sharing our ideas in an honest and authentic ways We talk about the ups and downs living life identifying as a professional creator, including the […]

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In small, daily actions you’re creating outcomes for yourself and by extension, creating your life. My man Tim Ferriss is a master at deconstructing the work of others and de-stilling it into a working practice. In fact, he wrote his book Tools of Titans as a reference of some of the tactics, routines, and habits of billionaires. In this quick episode, he shares the 3 key themes he’s seen in over 200 hundred people he’s interviewed. Enjoy! FOLLOW TIM: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode  This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

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You know her, the award-winning host, author and speaker, Marie Forleo returns to the podcast to talk about her new book , Everything Is Figureoutable. In the New York Times Best-Selling book, Marie gives readers tactics to look at setbacks positively and overcome obstacles creatively, so you can start reaching your dreams.  In this episode, we sit down to talk about how her life experiences influenced the book. She shares stories of fear, failure and always having fun have impacted her life. And we discuss a quote of hers (that I repeat all the time) that can help you get into the creative zone. Enjoy! FOLLOW MARIE: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode  This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

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Ever felt STUCK with something in your life? Blocked, like you can’t get past this mental state, this hurdle, this creative block, this bad habit, this… Wait a minute. Why am I even asking that question? Of course you’ve been stuck before. We’ve literally ALL been stuck before. And by extension we all know how much it sucks to be in this state of mind. AND – on the flipside – how amazing it is when you can reclaim your life and get back to the things you want to be thinking, doing, and becoming. I’m obsessed with overcoming the mental blockers that try to keep me down – and I think it’s been a big piece of my personal success. Which is why I thought this little nugget might help. ENTER: Lewis Howes. My good friend Lewis Howes was in the studio shooting his newest CreativeLive course last week and I was able to snag him for a few minutes to chat about his new book and his amazingly simple, yet powerful process for reclaiming our lives and live our biggest dreams. In this episode, Lewis shares a powerful experience from his life and how- on reflection – it helped […]

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Today we’re going back to San Francisco with myself and Jason Calacanis on stage during my tour stop for my book Creative Calling. Jason is an investor and long time host of the This Week in Startups podcast. And, of course, Jason wastes no time in our conversation. He goes right to the heart of the matter by getting into failure, venture capitol, knowing when to quit, and when to push through. Enjoy! FOLLOW JASON: 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 York Times best selling authors and the best entrepreneurs of our times.

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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 […]

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Every holiday season, I get an influx of DMs, tweets, texts and messages from followers, friends and family asking for my photo gear recommendations. This year, rather than putting together a list of all the high-tech cameras and lenses that come with high-price tags to match – I wanted share some affordable add-ons that thrifty photographers should have in their arsenal. As I like to say, the best camera is the one you have with you and most of the time that’s the one in your pocket ????  If you are looking for gift ideas for the photographer on your list these are my go-tos under $100(ish).   Moment Lens  These pocket size lenses will transform your mobile device into a lightweight DSLR. With a variety of lenses from fisheye to macro, Moment add-ons are durable, easy-to-use and have incredible clarity. Compatible with almost every smartphone, these compact lens take the camera in your pocket up a notch.          Shure Mic Shure has transformed mobile audio with its line of mobile mics. Regardless of your price point, the audio company creates options that will take your sound from distorted to crystal clear. As a photographer and podcaster […]

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Today’s guest is one many of you have been asking for oh-so-long. He’s one of the top travel, outdoor, and landscape photographers in the world, bringing us to some of the most untamed and powerful landscapes in the pursuit of powerful stories, hidden surf, and a good adventure. Of course in this episode we get into his new book, At Glacier’s End, but we also get into some meaty topics such as: the power of exploring personal projects and how it can shape new opportunities the sacrifice that comes as pursing your passions personal growth and how it evolves over time and so much more Enjoy! FOLLOW CHRIS: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode  This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

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There are 7106 languages on earth and yet there are a few universal languages that transcends the language barrier. In this episode we explore one of the first universal languages of human history: music. My guest today is Clemency Burton-Hill. From underground DJ to the Creative Director at New York Public Radio, she is an author, a musician, and host of multiple podcasts including The Open Ears Project, Classical Fix, and Moments that Made Me. Her latest book, Year of Wonder helps readers explore and experience a new classical musical piece every day. In this episode: Classical music has a bad rap for being stuffy, boring, and largely inaccessible. Clemency expands on what’s available, and how it’s really the soundtrack of our lives. The universality of music and how we use music to explore, express, and share. Of course, Clemency drops so many names of musical artists to explore who are crushing it today. Enjoy! FOLLOW CLEMENCY: instagram | twitter | website Listen to the Podcast  Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in […]

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Corey Rich is a director, writer, and one of the top action sports photographers of our time. He has built a life and a career around his passions for travel and adventure by documenting some of the world’s greatest athletes in extreme locations spanning the globe. From alpine climbing in Pakistan’s Karakoram Mountains to ultramarathon racing in the Sahara Desert of Morocco, freight-train hopping in the American West, underwater cave exploration in the Yucatan and snowboarding in Papua New Guinea – if you’re an outdoor adventure lover, you’ve likely seen his work gracing the pages of your favorite magazines and video screens. Corey is a long-time friend and a master storyteller, so when he released his latest book, Stories Behind the Images, I couldn’t wait to have him on the show. In this episode, Corey takes us on a journey behind the scenes of his life and career. We get into: Doing what you love. The process of chasing the things we know we’re supposed to be doing in our heart. Sacrifice. I don’t know a single person at the top of their game who hasn’t sacrificed something to be where they are today. Corey reflects on what what he’s sacrificed […]

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This week I’m in the hot seat with one of the leading experts in mindset training. Dr. Michael Gervais is a high performance psychologist working in the trenches of high-stakes environments with some of the best in the world. His clients include world record holders, Olympians, internationally acclaimed artists, MVPs from every major sport and Fortune 100 CEOs. Dr. Gervais is also the co-founder of Compete to Create, an educational platform for mindset training. Today I’m on his podcast Finding Mastery which unpacks & decodes each guest’s journey to mastery through mindset skills and practices. If you’ve been a listener for awhile, you’ll know this is one of my favorite topics and something I wholeheartedly credit to unlocking my best work. In this episode: How I learned to trust my intuition Dr. Gervais aptly calls out two journeys to mastery: one of self, and one of craft. I share my perspective on how mastery of craft is a required step to mastering oneself We’re taught that making mistakes is bad so we should avoid them. What we really should be taught is it’s not about avoiding mistakes, it’s about error recovery. and much more… Enjoy! FOLLOW MICHAEL: instagram | twitter […]

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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.

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In any uncertain time there, we can both feel anxious, upset, curious and we can also look for opportunities. Opportunities for reinvention, for connection, and community in ways we haven’t seen before. That’s the theme of today’s episode with some of my good friends Mark and Brian Canlis + James Beard Award Winning Chef Brady Williams in a conversation we recorded for CreativeLive TV. Mark and Brian run an iconic restaurant in Seattle named Canlis. It’s been a family business for over 70 years. Faced with these uncertain times, they share how they’ve reinvented their business 3 times over the last couple of months. No matter what industry you’re in, their story of overcoming obstacles, problem solving and heart is wisdom for all of us. Enjoy! FOLLOW CANLIS: instagram | website Listen to the Podcast Subscribe   Watch the Episode This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors […]

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Legendary musician Yo-Yo Ma called my guest today the future of classical music in America. Joshua Roman is a cellist, accomplished composer and curator whose performances embrace musical styles from Bach to Radiohead. At 22, he became the youngest principal cellist in the Seattle Symphony. Now as a soloist, his performances have been viewed by millions. I was able to catch up with Joshua on this special LIVE performance CreativeLive TV. Wherever you are in the world, hope this episode lifts you up. Please be sure to give Joshua a shout on the socials. Enjoy! FOLLOW JOSHUA: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

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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.

In this episode of the Smashing Podcast, we’re talking about building apps on a tight timeline. How can you quickly turn around a project to respond to an emerging situation like COVID-19? Drew McLellan talks to Phil Smith to find out. Show Notes CardMedic React Native React Native for Web Expo Apiary Phil’s company amillionmonkeys Phil’s personal blog and Twitter Weekly Update Getting Started With Nuxt Implementing Dark Mode In React Apps Using styled-components How To Succeed In Wireframe Design Mirage JS Deep Dive: Understanding Mirage JS Models And Associations (Part 1) Readability Algorithms Should Be Tools, Not Targets Transcript Drew McLellan: He is director of the full-stack web development studio amillionmonkeys, where he partners with business owners and creative agencies to build digital products that make an impact.

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.

Rimouski, Bas-St-Laurent, Québec

St-Donat, Bas-St-Laurent, Québec

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 […]

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 […]

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 […]

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 […]

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 […]

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 […]

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. […]

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 […]

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.

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.

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$, $arglambda > pi/8$.

Let $1 le r < n$ be integers. We give a proof that the group $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ of automorphisms of the one-sided shift on $n$ letters embeds naturally as a subgroup $mathcal{h}_{n}$ of the outer automorphism group $mathop{mathrm{Out}}(G_{n,r})$ of the Higman-Thompson group $G_{n,r}$. From this, we can represent the elements of $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$ by finite state non-initial transducers admitting a very strong synchronizing condition.

Let $H in mathcal{H}_{n}$ and write $|H|$ for the number of states of the minimal transducer representing $H$. We show that $H$ can be written as a product of at most $|H|$ torsion elements. This result strengthens a similar result of Boyle, Franks and Kitchens, where the decomposition involves more complex torsion elements and also does not support practical extit{a priori} estimates of the length of the resulting product.

We also give new proofs of some known results about $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$.

This paper considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange. We first propose a distributed first-order primal-dual algorithm. We show that it converges sublinearly to the stationary point if each local cost function is smooth and linearly to the global optimum under an additional condition that the global cost function satisfies the Polyak-{L}ojasiewicz condition. This condition is weaker than strong convexity, which is a standard condition for proving the linear convergence of distributed optimization algorithms, and the global minimizer is not necessarily unique or finite. Motivated by the situations where the gradients are unavailable, we then propose a distributed zeroth-order algorithm, derived from the proposed distributed first-order algorithm by using a deterministic gradient estimator, and show that it has the same convergence properties as the proposed first-order algorithm under the same conditions. The theoretical results are illustrated by numerical simulations.

We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients.

We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles $N$ to infinity and the regularization $epsilon$ in the Biot-Savart kernel to $0$, as a suitable function of $N$.

We show that the local equivalence class of the collapsed link Floer complex $cCFL^infty(L)$, together with many $Upsilon$-type invariants extracted from this group, is a concordance invariant of links. In particular, we define a version of the invariants $Upsilon_L(t)$ and $ u^+(L)$ when $L$ is a link and we prove that they give a lower bound for the slice genus $g_4(L)$. Furthermore, in the last section of the paper we study the homology group $HFL'(L)$ and its behaviour under unoriented cobordisms. We obtain that a normalized version of the $upsilon$-set, introduced by Ozsv'ath, Stipsicz and Szab'o, produces a lower bound for the 4-dimensional smooth crosscap number $gamma_4(L)$.