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Three Principles to Remember for Successful Recovery

When it comes to TBI and PTSD, everyone's recovery is different. But Adam shares three key principles that can be crucial for everyone.




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At College, Move Beyond the Stigma of Asking for Help After a Brain Injury

If extra time on a test or memory aids can make life easier during college, why not use them? Adam talks about moving past the "stigma" of using disability services and getting the help you need to succeed in college.




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BrainLine Military Blogger Adam Anicich Says Thank You and Goodbye for Now

Adam thanks you — his blog viewers and supporters — and encourages you to continue the discussion and awareness raising about TBI and PTSD; the battle does not stop here.




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5 Product Image Tips For High Converting Landing Pages

They say that a picture is worth a thousand words, but have you ever stopped to think what your Ecommerce images are saying about the products you’re trying to sell online? Are your photos helping your products to jump off the screen and convince shoppers to buy them? Or, are your product images quite simply […]

Original post: 5 Product Image Tips For High Converting Landing Pages

The post 5 Product Image Tips For High Converting Landing Pages appeared first on Daily Blog Tips.





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Inform user about automatic comment closing time

To prevent spammers from flooding old articles with useless comments you can set WordPress to close comments after a certain […]




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Article: 25 Beautifully Dark-Schemed Landing Pages for Inspiration

There is something instantly remarkable about a website with a strong, dark color scheme.





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Troops to receive Purple Hearts for injuries during Iranian missile barrage on al-Asad airbase in Iraq

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.




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Electric Cars and Surging Solar Spell Market Doom for Fossil Fuels

By Jessica Corbett Common Dreams Analyses show how demand for electric vehicles and rapidly falling renewable energy prices could take down oil and gas industry As an increasing number of nations make plans for banning gas and diesel vehicles within … Continue reading



  • Business & Economy

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You Know Clean Air is Good for Your Health. It’s Good for the Economy, Too.

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




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the quest for personal style (with pal Alex Strohl)

One of the most common questions I get is about how to stand out + how to develop personal style. So when fellow photographer Alex Strohl stopped by the studio, I wanted to get his take on this ever-popular question. If you’re not familiar with Alex’s work, a quick spin on instagram will fill in the blanks. He’s a photographer that tells stories through pictures and film. And when you see his work, there is a distinct thumbprint on it. Developing a personal style is critical. It’s the reason why someone would seek you out vs someone else. It’s the thing that differentiates your work from everyone else. There’s a thousand ways to develop your personal style. In our conversation, Alex shares some of his insights he’s gained along the way. Though each of us may take a different path to get there, there is one constant, and that’s doing a lot of work. So take a listen and then get back to work. ???? Enjoy and subscribe to the podcast below if you dig.  Please give Alex a shout on social @alexstrohl ???? FOLLOW ALEX: twitter | instagram | website Listen to the Podcast Subscribe   Watch the Episode  […]

The post the quest for personal style (with pal Alex Strohl) appeared first on Chase Jarvis Photography.




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Everything is Figureoutable with Marie Forleo

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.

The post Everything is Figureoutable with Marie Forleo appeared first on Chase Jarvis Photography.




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My Favorite Gifts For Photographers Under $100(ish)

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 […]

The post My Favorite Gifts For Photographers Under $100(ish) appeared first on Chase Jarvis Photography.




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Getting Comfortable with Being Uncomfortable

Being uncomfortable isn’t usually fun. In fact, we’re probably more likely to try to avoid uncomfortable situations than actually run toward them. Yet, it is a valuable skill. Not only in dealing with adversity but giving us confidence and trust in ourselves to recover quickly from failure, manage our fears, and explore the unknown. In today’s episode, we dive a big deeper into this topic and I share a few ways we can all practice getting comfortable with being uncomfortable. Enjoy! FOLLOW CHASE: instagram | twitter | website Listen to the Podcast Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

The post Getting Comfortable with Being Uncomfortable appeared first on Chase Jarvis Photography.




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Setting New Project Managers Up for Success

At Viget, we’ve brought on more than a few new Project Managers over the past couple of years, as we continue to grow. The awesome new people we’ve hired have ranged in their levels of experience, but some of them are earlier in their careers and need support from more experienced PMs to develop their skills and flourish.

We have different levels of training and support for new PMs. These broadly fall into four categories:

  • Onboarding: Learning about Viget tools and processes
  • Shadowing: Learning by watching others
  • Pairing: Learning by doing collaboratively
  • Leading: Learning by doing solo

Onboarding

In addition to conducting intro sessions to each discipline at Viget, new Viget PMs go through a lengthy set of training sessions that are specific to the PM lab. These include intros to:

PM tools and resourcesProject processes
Project typesProject checklists
Project taskingProject planning
Budgets, schedules, and resourcingRetrospectives
Working with remote teamsProject kickoffs
Thinking about developmentGithub and development workflow
Tickets, definition, and documentationQA testing
Account management

Shadowing

After PMs complete the onboarding process, they start shadowing other PMs’ projects to get exposure to the different types of projects we run (since the variety is large). We cater length and depth of shadowing based on how much experience a PM has coming in. We also try to expose PMs to multiple project managers, so they can see how PM style differs person-to-person.

We’ve found that it can be most effective to have PMs shadow activities that are more difficult to teach in theory, such as shadowing a PM having a difficult conversation with a client, or shadowing a front-end build-out demo to see how the PM positions the meeting and our process to the client. More straightforward tasks like setting up a Harvest project could be done via pairing, since it’s easy to get the hang of with a little guidance.

Pairing

While shadowing is certainly helpful, we try to get PMs into pairing mode pretty quickly, since we’ve found that most folks learn better by doing than by watching. Sometimes this might mean having a new PM setting up an invoice or budget sheet for a client while a more experienced PM sits next to them, talking them through the process. We’ve found that having a newer PM lead straightforward activities with guidance tends to be more effective than the newer PM merely watching the more experienced PM do that activity.

Another tactic we take is to have both PMs complete a task independently, and then meet and talk through their work, with the more experienced PM giving the less experienced PM feedback. That helps the newer PM think through a task on their own, and gain experience, but still have the chance to see how someone else would have approached the task and get meaningful feedback.

Leading

Once new PMs are ready to be in the driver’s seat, they are staffed as the lead on projects. The timing of when someone shifts into a lead role depends on how much prior experience that person has, as well as what types of projects are actively ready to be worked on.

Most early-career project managers have a behind-the-scenes project mentor (another PM) on at least their first couple projects, so they have a dedicated person to ask questions and get advice from who also has more detailed context than that person’s manager would. For example, mentors often shadow key client and internal meetings and have more frequent check-ins with mentees. This might be less necessary at a company where all the projects are fairly similar, but at Viget, our projects vary widely in scale and services provided, as well as client needs. Because of this, there’s no “one size fits all” process and we have a significant amount of customization per project, which can be daunting to new PMs who are still getting the hang of things.

For these mentorship pairings, we use a mentorship plan document (template here) to help the mentor and mentee work together to define goals, mentorship focuses, and touchpoints. Sometimes the mentee’s manager will take a first stab at filling out the plan, other times, the mentor will start that process.

Management Touchpoints

Along the way, we make sure new PMs have touchpoints with their managers to get the level of support they need to grow and succeed. Managers have regular 1:1s with PMs that are referred to as “project 1:1s”, and are used for the managee to talk through and get advice on challenges or questions related to the projects they’re working on—though really, they can be used for whatever topics are on the managee’s mind. PMs typically have 1:1s with managers daily the first week, two to three times per week after that for the first month or so, then scale down to once per week, and then scale down to bi-weekly after the first six months.

In addition to project 1:1s, we also have monthly 1:1s that are more bigger-picture and focused on goal-setting and progress, project feedback from that person’s peers, reflection on how satisfied and fulfilled they’re feeling in their role, and talking through project/industry interests which informs what projects we should advocate for them to be staffed on. We have a progress log template that we customize per PM to keep track of goals and progress.

We try to foster a supportive environment that encourages growth, feedback, and experiential learning, but also that lets folks have the autonomy to get in the driver’s seat as soon as they’re comfortable. Interested in learning more about what it’s like to work at Viget? Check out our open positions here.




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CLI Equivalents for Common MAMP PRO and Sequel Pro Tasks

Working on website front ends I sometimes use MAMP PRO to manage local hosts and Sequel Pro to manage databases. Living primarily in my text editor, a terminal, and a browser window, moving to these click-heavy dedicated apps can feel clunky. Happily, the tasks I have most frequently turned to those apps for —starting and stopping servers, creating new hosts, and importing, exporting, deleting, and creating databases— can be done from the command line.

I still pull up MAMP PRO if I need to change a host's PHP version or work with its other more specialized settings, or Sequel Pro to quickly inspect a database, but for the most part I can stay on the keyboard and in my terminal. Here's how:

Command Line MAMP PRO

You can start and stop MAMP PRO's servers from the command line. You can even do this when the MAMP PRO desktop app isn't open.

Note: MAMP PRO's menu icon will not change color to reflect the running/stopped status when the status is changed via the command line.

  • Start the MAMP PRO servers:
/Applications/MAMP PRO.app/Contents/MacOS/MAMP PRO cmd startServers
  • Stop the MAMP PRO servers:
/Applications/MAMP PRO.app/Contents/MacOS/MAMP PRO cmd stopServers
  • Create a host (replace host_name and root_path):
/Applications/MAMP PRO.app/Contents/MacOS/MAMP PRO cmd createHost host_name root_path

MAMP PRO-friendly Command Line Sequel Pro

Note: if you don't use MAMP PRO, just replace the /Applications/MAMP/Library/bin/mysql with mysql.

In all of the following commands, replace username with your user name (locally this is likely root) and database_name with your database name. The -p (password) flag with no argument will trigger an interactive password prompt. This is more secure than including your password in the command itself (like -pYourPasswordHere). Of course, if you're using the default password root is not particular secure to begin with so you might just do -pYourPasswordHere.

Setting the -h (host) flag to localhost or 127.0.0.1 tells mysql to look at what's on localhost. With the MAMP PRO servers running, that will be the MAMP PRO databases.

# with the MAMP PRO servers running, these are equivalent:
# /Applications/MAMP/Library/bin/mysql -h 127.0.0.1 other_options
# and
# /Applications/MAMP/Library/bin/mysql -h localhost other_options

/Applications/MAMP/Library/bin/mysql mysql_options # enter. opens an interactive mysql session
mysql> some command; # don't forget the semicolon
mysql> exit;
  • Create a local database
# with the MAMP PRO servers running
# replace `username` with your username, which is `root` by default
/Applications/MAMP/Library/bin/mysql -h localhost -u username -p -e "create database database_name"

or

# with the MAMP PRO servers running
# replace `username` (`root` by default) and `database_name`
/Applications/MAMP/Library/bin/mysql -h localhost -u username -p # and then enter
mysql> create database database_name; # don't forget the semicolon
mysql> exit

    MAMP PRO's databases are stored in /Library/Application Support/appsolute/MAMP PRO/db so to confirm that it worked you can

ls /Library/Application Support/appsolute/MAMP PRO/db
# will output the available mysql versions. For example I have
mysql56_2018-11-05_16-25-13     mysql57

# If it isn't clear which one you're after, open the main MAMP PRO and click
# on the MySQL "servers and services" item. In my case it shows "Version: 5.7.26"

# Now look in the relevant MySQL directory
ls /Library/Application Support/appsolute/MAMP PRO/db/mysql57
# the newly created database should be in the list
  • Delete a local database
# with the MAMP PRO servers running
# replace `username` (`root` by default) and `database_name`
/Applications/MAMP/Library/bin/mysql -h localhost -u username -p -e "drop database database_name"
  • Export a dump of a local database. Note that this uses mysqldump not mysql.
# to export an uncompressed file
# replace `username` (`root` by default) and `database_name`
/Applications/MAMP/Library/bin/mysqldump -h localhost -u username -p database_name > the/output/path.sql

# to export a compressed file
# replace `username` (`root` by default) and `database_name`
/Applications/MAMP/Library/bin/mysqldump -h localhost -u username -p database_name | gzip -c > the/output/path.gz

  • Export a local dump from an external database over SSH. Note that this uses mysqldump not mysql.

# replace `ssh-user`, `ssh_host`, `mysql_user`, `database_name`, and the output path

# to end up with an uncompressed file
ssh ssh_user@ssh_host "mysqldump -u mysql_user -p database_name | gzip -c" | gunzip > the/output/path.sql

# to end up with a compressed file
ssh ssh_user@ssh_host "mysqldump -u mysql_user -p database_name | gzip -c" > the/output/path.gz
  • Import a local database dump into a local database
# with the MAMP PRO servers running
# replace `username` (`root` by default) and `database_name`
/Applications/MAMP/Library/bin/mysql -h localhost -u username -p database_name < the/dump/path.sql
  • Import a local database dump into a remote database over SSH. Use care with this one. But if you are doing it with Sequel Pro —maybe you are copying a Craft site's database from a production server to a QA server— you might as well be able to do it on the command line.
ssh ssh_user@ssh_host "mysql -u username -p remote_database_name" < the/local/dump/path.sql


For me, using the command line instead of the MAMP PRO and Sequel Pro GUI means less switching between keyboard and mouse, less opening up GUI features that aren't typically visible on my screen, and generally better DX. Give it a try! And while MAMP Pro's CLI is limited to the essentials, command line mysql of course knows no limits. If there's something else you use Sequel Pro for, you may be able to come up with a mysql CLI equivalent you like even better.



  • Code
  • Front-end Engineering
  • Back-end Engineering

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Should you use Userbase for your next static site?

During the winter 2020 Pointless Weekend, we built TrailBuddy (working app coming soon). Our team consisted of four developers, two project managers, two front-end developers, a digital-analyst, a UXer, and a designer. In about 48 hours, we took an idea from Jeremy Field’s head to a (mostly) working app. We broke up the project in two parts:. First, a back-end that crunches trail, weather, and soil data. That data is exposed via a GraphQL API for a web app to consume.

While developers built the API, I built a static front end using Next.js. Famously, static front-ends don’t have a database, or a concept of “users.” A bit of functionality I wanted to add was saving favorite trails. I didn’t want to be hacky about it, I needed some way to add users and a database. I knew it’d be hard for the developers to set this up as part of the API, they had their hands full with all the #soil-soil-soil-soil-soil (a slack channel dedicated solely to figuring out our soil data problem—those were plentiful.) I had been looking for an excuse to use Userbase, and this seemed like as good a time as any.

A textbook Userbase use case

“When would I use it?” The Usebase site lists these reasons:

  • If you want to build a web app without writing any backend code.
  • If you never want to see your users' data.
  • If you're tired of dealing with databases.
  • If you want to radically simplify your GDPR compliance.
  • And if you want to keep things really simple.

This was a perfect fit for my problem. I didn’t want to write any more backend code for this. I didn’t want to see our user’s data, I don’t care to know anyone’s favorite trails.* A nice bonus to not having users in our backend was not having to worry about keeping their data safe. We don’t have their data at all, it’s end-to-end encrypted by Userbase. We can offer a reasonable amount of privacy for free (well for the price of using Userbase: $49 a year.) I am not tired of dealing with databases, but I’d rather not. I don’t think anyone doesn’t want to simplify their GDPR compliance. Finally, given our tight timeline I wanted nothing more than to keep things really simple.

A sign up form that I didn't have to write a back-end for

Using Userbase

Userbase can be tried for free, so I set aside thirty minutes or so to do a quick proof of concept to make sure this would work out for us. I made an account and followed their Quickstart. Userbase is a fundamentally easy tool to use, but their quickstart is everything I’d want out of a quickstart:

  • Written in the most vanilla way possible (just HTML and vanilla JS). This means I can adapt it to my needs, in this case React using Next.js
  • Easy to follow, it does the most barebones tour of the functionality you can expect to get out of the SDK (software development kit.) In other words it is quick and it is a start
  • It has a live demo and code samples you can download and run yourself

It didn’t take long after that to integrate Userbase into our app with more help from their great docs. I debated whether to add code samples of what we did here, and I didn’t because any reader would be better off using the great quickstart and docs Userbase provides—they are that clear, and that good. Depending on your use case you’ll need to adapt the examples to your needs, for us the trickiest things were creating a top level authentication context to manage users in the app, and a custom hook to encapsulate all the logic for setting, updating, and deleting favourite trails in the app. Userbase’s SDK worked seamlessly for us.

A log in form that I didn't have to write a back-end for

Is Userbase for you?

Maybe. I am definitely a fan, so much so that this blog post probably reads like an advert. Userbase saved me a ton of time in this project. It reminded me of “The All Powerful Front End Developer” talk by Chris Coyer. I don’t fully subscribe to all the ideas in that talk, but it is nice to have “serverless” tools like Userbase, and all the new JAMstacky things. There are limits to the Userbase serverless experience in terms of scale, and control. Obviously relying on a third party for something always carries some (probably small) risk—it’s worth noting Usebase includes a note on their pricing page that says “You can host it yourself always under your control, or we can run it for you for a full serverless experience”—Still, I wouldn’t hesitate this to use in future projects.

One of the great things about Viget and Pointless Weekend is the opportunity to try new things. For me that was Next.js and Userbase for Trailbuddy. It doesn’t always work out (in fact this is my first pointless weekend where a risk hasn’t blown up in my face) but it is always fun. Getting to try out Userbase and beginning to think about how we may use it in the future made the weekend worthwhile for me, and it made my job on this project much more enjoyable.

*I will write a future post about privacy conscious analytics in TrailBuddy when I’ve figured that out. I am looking into Fathom Analytics for that.



  • Code
  • Front-end Engineering

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Wix Video — a great marketing tool for any website.

Increases time on page and boosts engagement with your site Thanks to the ever-increasing internet speeds, videos are in high demand. Right now, video is everywhere on social media, websites, and apps. We are watching them on all our screens, desktops, tablets, phones and smart TVs. It is expected a growth in video content up …

Wix Video — a great marketing tool for any website. Read More »




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Join Our New Online Workshops On CSS, Accessibility, Performance, And UX

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.




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Watch YouTube’s most informed sock puppet teach you how to shoot with manual exposure

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.





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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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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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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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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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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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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.




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Resonances as Viscosity Limits for Exponentially Decaying Potentials. (arXiv:2005.01257v2 [math.SP] UPDATED)

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$, $arglambda > pi/8$.




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Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method. (arXiv:2004.14721v2 [math.SP] UPDATED)

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




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On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations. (arXiv:2004.12660v3 [math.AP] UPDATED)

In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously.




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Convergent normal forms for five dimensional totally nondegenerate CR manifolds in C^4. (arXiv:2004.11251v2 [math.CV] UPDATED)

Applying the equivariant moving frames method, we construct convergent normal forms for real-analytic 5-dimensional totally nondegenerate CR submanifolds of C^4. These CR manifolds are divided into several biholomorphically inequivalent subclasses, each of which has its own complete normal form. Moreover it is shown that, biholomorphically, Beloshapka's cubic model is the unique member of this class with the maximum possible dimension seven of the corresponding algebra of infinitesimal CR automorphisms. Our results are also useful in the study of biholomorphic equivalence problem between CR manifolds, in question.




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Equivalence of classical and quantum completeness for real principal type operators on the circle. (arXiv:2004.07547v3 [math.AP] UPDATED)

In this article, we prove that the completeness of the Hamilton flow and essential self-dajointness are equivalent for real principal type operators on the circle. Moreover, we study spectral properties of these operators.




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The Shearlet Transform and Lizorkin Spaces. (arXiv:2003.06642v2 [math.FA] UPDATED)

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.




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Weak-strong uniqueness for an elastic plate interacting with the Navier Stokes equation. (arXiv:2003.04049v2 [math.AP] UPDATED)

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.




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Solitary wave solutions and global well-posedness for a coupled system of gKdV equations. (arXiv:2002.09531v2 [math.AP] UPDATED)

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.




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Willems' Fundamental Lemma for State-space Systems and its Extension to Multiple Datasets. (arXiv:2002.01023v2 [math.OC] UPDATED)

Willems et al.'s fundamental lemma asserts that all trajectories of a linear system can be obtained from a single given one, assuming that a persistency of excitation condition holds. This result has profound implications for system identification and data-driven control, and has seen a revival over the last few years. The purpose of this paper is to extend Willems' lemma to the situation where multiple (possibly short) system trajectories are given instead of a single long one. To this end, we introduce a notion of collective persistency of excitation. We will then show that all trajectories of a linear system can be obtained from a given finite number of trajectories, as long as these are collectively persistently exciting. We will demonstrate that this result enables the identification of linear systems from data sets with missing data samples. Additionally, we show that the result is of practical significance in data-driven control of unstable systems.




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EMSx: A Numerical Benchmark for Energy Management Systems. (arXiv:2001.00450v2 [math.OC] UPDATED)

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.




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Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization. (arXiv:1912.12110v2 [math.OC] UPDATED)

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.




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Quasistatic evolution for dislocation-free finite plasticity. (arXiv:1912.10118v2 [math.AP] UPDATED)

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.




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Regularized vortex approximation for 2D Euler equations with transport noise. (arXiv:1912.07233v2 [math.PR] UPDATED)

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 $N$.




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A homotopy BV algebra for Yang-Mills and color-kinematics. (arXiv:1912.03110v2 [math-ph] UPDATED)

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'.




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Khintchine-type theorems for values of subhomogeneous functions at integer points. (arXiv:1910.02067v2 [math.NT] UPDATED)

This work has been motivated by recent papers that quantify the density of values of generic quadratic forms and other polynomials at integer points, in particular ones that use Rogers' second moment estimates. In this paper we establish such results in a very general framework. Namely, given any subhomogeneous function (a notion to be defined) $f: mathbb{R}^n o mathbb{R}$, we derive a necessary and sufficient condition on the approximating function $psi$ for guaranteeing that a generic element $fcirc g$ in the $G$-orbit of $f$ is $psi$-approximable; that is, $|fcirc g(mathbf{v})| le psi(|mathbf{v}|)$ for infinitely many $mathbf{v} in mathbb{Z}^n$. We also deduce a sufficient condition in the case of uniform approximation. Here, $G$ can be any closed subgroup of $operatorname{ASL}_n(mathbb{R})$ satisfying certain axioms that allow for the use of Rogers-type estimates.




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Equivariant Batalin-Vilkovisky formalism. (arXiv:1907.07995v3 [hep-th] UPDATED)

We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant extension of AKSZ solutions of the classical master equation (CME). As examples of the construction, we recover the equivariant extension of supersymmetric Yang-Mills in 2d and of Donaldson-Witten theory.




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Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in R^{1+3}. (arXiv:1907.01126v2 [math.AP] UPDATED)

This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$. We find that there are two explicit lightlike self-similar solutions to a graph representation of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$, the geometry of them are two spheres. The linear mode unstable of those lightlike self-similar solutions for the radially symmetric membranes equation is given. After that, we show those self-similar solutions of the radially symmetric membranes equation are nonlinearly stable inside a strictly proper subset of the backward lightcone. This means that the dynamical behavior of those two spheres is as attractors. Meanwhile, we overcome the double roots case (the theorem of Poincar'{e} can't be used) in solving the difference equation by construction of a Newton's polygon when we carry out the analysis of spectrum for the linear operator.




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Decentralized and Parallelized Primal and Dual Accelerated Methods for Stochastic Convex Programming Problems. (arXiv:1904.09015v10 [math.OC] UPDATED)

We introduce primal and dual stochastic gradient oracle methods for decentralized convex optimization problems. Both for primal and dual oracles the proposed methods are optimal in terms of the number of communication steps. However, for all classes of the objective, the optimality in terms of the number of oracle calls per node in the class of methods with optimal number of communication steps takes place only up to a logarithmic factor and the notion of smoothness. By using mini-batching technique we show that all proposed methods with stochastic oracle can be additionally parallelized at each node.




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Grothendieck's inequalities for JB$^*$-triples: Proof of the Barton-Friedman conjecture. (arXiv:1903.08931v3 [math.OA] UPDATED)

We prove that, given a constant $K> 2$ and a bounded linear operator $T$ from a JB$^*$-triple $E$ into a complex Hilbert space $H$, there exists a norm-one functional $psiin E^*$ satisfying $$|T(x)| leq K , |T| , |x|_{psi},$$ for all $xin E$. Applying this result we show that, given $G > 8 (1+2sqrt{3})$ and a bounded bilinear form $V$ on the Cartesian product of two JB$^*$-triples $E$ and $B$, there exist norm-one functionals $varphiin E^{*}$ and $psiin B^{*}$ satisfying $$|V(x,y)| leq G |V| , |x|_{varphi} , |y|_{psi}$$ for all $(x,y)in E imes B$. These results prove a conjecture pursued during almost twenty years.