Research Highlights: The blood thinner apixaban, which treats and prevents blood clots in some people with irregular heart rhythm, is safe and effective in stroke patients. Apixaban is associated with less bleeding, death and hospitalization than ...

Research Highlights: A robot was used to treat brain aneurysms for the first time. The robotic system could eventually allow remote surgery, enabling surgeons to treat strokes from afar. Embargoed until 11:15 a.m. Pacific Time / 2:15 p.m. Eastern ...

Matt Freitas, nurse practitioner, treats people with mental illness, including his daughter, who has schizophrenia. The number of patients seeking treatment for mental illness has tripled over the past three years, Freitas says. Photography, audio and production by Lauren M. Whaley, CHCF Center for Health Reporting.

DALLAS, April 14, 2020 – The American Heart Association has extended the deadline for individual scholarships and school grants offered through Kids Heart Challenge and American Heart Challenge to June 30. As schools nationwide moved to remote learning,...

Some might tell you the only way to manage your association is through a “one size fits all” Association Management System like NOAH. While these tools have their place, they are not the best solution in all situations. In this article, we’ll discuss benefits towards assembling a custom Association Management System using open source tools […]

The post Alternatives to NOAH AMS (Association Management System) appeared first on Psychology of Web Design | 3.7 Blog.

Traumatic brain injury (TBI) is a leading cause of death and disability. Older adults are more likely than younger individuals to sustain TBIs and less likely to survive them. TBI has been called the “silent epidemic,” and older adults are the “silent population” within this epidemic. This study evaluates whether indicators of preinjury health and functioning are associated with risk of incident traumatic brain injury (TBI) with loss of consciousness (LOC) and to evaluate health‐related factors associated with mortality in individuals with incident TBI.

Editor's note: The Gazette sports staff has compiled lists of its top 15 favorite sports movies. Each day, a different staffer will share some insight into one of their favorites. Some of them are...

DES MOINES — The Iowa high school wrestling state duals tournament isn’t going anywhere. The event is remaining at Wells Fargo Arena, taking place the day before the three-day...

Any business can increase revenue with online courses. No physical contact required! Here are the 4 tools you’ll need to get started fast & generate sales!

The post How to Sell Online Courses with Sensei LMS appeared first on WooCommerce.

IOWA CITY — The University of Iowa on Thursday unveiled new sustainability goals for the next decade that — if accomplished — would cut its greenhouse gas emissions in half from...

Nearly 25,000 more Iowans filed unemployment claims in the past week, Iowa Workforce Development reported Thursday. Continuing weekly unemployment claims total 181,358, the department reported. Iowa...

If you are using the cforms II, you may want to head over to Mr. Seidel’s site for more info on the matter.

The post Goodbye to cforms II appeared first on WPCult.

Well, it was a long run, ok, only 24 hours when Mr. Seidel’s announced that he would pull the plug on further updates to the cforms plugin. But after consideration and many emails, he has released a update to a GPL compliant version of his plugin: 10.2.

The post cforms II now GPL compliant appeared first on WPCult.

IOWA CITY — The University of Iowa on Thursday unveiled new sustainability goals for the next decade that — if accomplished — would cut its greenhouse gas emissions in half from a decade ago and transform the campus into a “living laboratory for sustainability education and exploration.”

But the goals fall short of what a collective of Iowa City “climate strikers” have demanded for more than a year — that the UI end coal burning immediately at its power plant, commit to using only renewable energy by 2030 and unite with the city of Iowa City in a “town-gown” climate accord.

“It’s ridiculous for the UI to announce a 2030 climate plan as it continues to burn coal for years and burn methane-spewing natural gas for decades at its power plant,” said Massimo Paciotto-Biggers, 14, a student at Iowa City High and member of the Iowa City Climate Strike group.

The university’s new 2030 goals piggyback off its 2020 goals, which former UI President Sally Mason announced in 2010 in hopes of integrating sustainability into the campus’ mission.

Her goals included consuming less energy on campus in 2020 than in 2010, despite projected growth; diversifying the campus’ energy portfolio by using biomass, solar, wind and the like to achieve 40 percent renewable energy consumption by 2020; diverting 60 percent of solid waste; reducing the campus transportation carbon footprint with a 10 percent cut in per capita transportation and travel; and increasing learning and research opportunities.

The university, according to a new report made public Thursday, met or surpassed many of those goals — including, among other things, a slight dip in total energy use, despite 15 new buildings and major additions across campus.

The campus also reported 40 percent of its energy consumption comes via renewable energy sources, and it reduced annual coal consumption 75 percent.

As for waste production, the university diverted 43 percent from the landfill and reported diverting 70 percent more waste than in 2010.

In just the first phase, the new 2030 goals — a result of collaboration across campus involving a 2030 UI Sustainability Goal Setting Task Force — involve fewer numbers and hard percentages. Aside from the aim to cut greenhouse emissions by 50 percent compared to a 2010 baseline, the phase one goals aim to:

• Institutionalize and embed sustainability into campus culture, allowing individual units across campus to develop plans to meeting campus sustainability goals.

• Expand sustainability research, scholarship and other opportunities.

• Use the campus as a “living laboratory” capable of improving campus sustainability and ecosystems.

• Prepare students to live and work in the 21st century through sustainability education.

• Facilitate knowledge exchange among the campus community and with the state, nation, and world.

PHASE 2 EXPANDS ON GOALS

As the campus moves into phase two of its 2030 plan, it will expand on first-phase goals by identifying specific and measurable tasks and metrics.

Leadership plans to finalize that second phase later in the fall semester.

“This approach has meant including units engaged in activities such as academics, research, operations, planning, engagement, athletics, and student life,” Stratis Giannakouros, director of the Office of Sustainability and the Environment, said in a statement.

‘Ambitious and forward-looking’

Sen. Joe Bolkcom, D-Iowa City, who serves as outreach and community education director for the UI Center for Global and Regional Environmental Research, told The Gazette the new goals are “ambitious and forward-looking.”

“The new goals will engage students and research faculty to help build a sustainable path for the campus and broader community,” he said.

The university recently made big news on the utilities front by entering a $1.165 billion deal with a private French company to operate its utility system for 50 years. The deal nets the university a massive upfront lump sum it can invest and pull from annually. It gives the private operator decades of reliable income.

And the university, in making the deal, mandated its new provider pursue ambitious sustainability goals — promising to impose penalties if it failed to do so.

Comments: (319) 339-3158; vanessa.miller@thegazette.com

Nearly 25,000 more Iowans filed unemployment claims in the past week, Iowa Workforce Development reported Thursday.

Continuing weekly unemployment claims total 181,358, the department reported.

Iowa Workforce Development said 24,693 people filed unemployment claims between April 26 and May 2. That included 22,830 initial claims by people who work in Iowa and 1,863 claims filed by people who work in Iowa but live in another state.

State unemployment insurance benefit payments totaled $50,931,302 for the same week, the department said.

Also this week, a total of $111,378,600 in Federal Pandemic Unemployment Compensation benefits was paid to 164,088 Iowans. Since April 4, a total of $439,126,200 has been paid.

A total of $10,046,089 was paid to 15,612 Iowans receiving Pandemic Unemployment Assistance benefits.

The industries with the most claims were manufacturing, 6,053; industry not available, self-employed, independent contractors, 4,010; health care and social assistance, 2,988; accommodation and food services, 2,200; and retail trade, 1,768.

Gov. Kim Reynolds is continuing to allow more businesses to reopen, which may mean more Iowans going back to work.

On Wednesday, after meeting with President Donald Trump at the White House, Reynolds issued a proclamation permitting a variety of businesses to reopen, including dental services, drive-in movie theaters, tanning facilities and medical spas.

She also relaxed mitigation strategies in the 22 counties that remain under more strict orders because the virus is more widespread there.

Beginning Friday in those 22 counties — which include Linn, Johnson and Black Hawk — malls and retail stores may reopen provided they operate at no more than 50 percent of capacity, and fitness centers may reopen on an appointment basis only.

For more information on the total data for this week’s unemployment claims, visit https://www.iowalmi.gov/unemployment-insurance-statistics.

Comments: (319) 398-8375; james.lynch@thegazette.com

Last weekend, at the Subscribe10 conference, we released Advanced Audio Algorithm Parameters for Multitrack Productions:

We launched our advanced audio algorithm parameters for Singletrack Productions last year. Now these settings (and more) are available for Multitrack Algorithms as well, which gives you detailed control for each track of your production.

• Fore/Background Settings: keep your music/clip tracks unchanged and set a custom background gain
• Multitrack Leveler Parameters: control the stereo panorama, leveling algorithm, dynamic range and compression
• Better Hum and Noise Reduction Controls for each track
• Maximum True Peak Level setting for the final mixdown
• Full API Support

Please join our private beta program and let us know how you use these new features or if you need even more control!

Fore/Background Settings

The parameter Fore/Background controls whether a track should be in foreground, in background, ducked, or unchanged, which is especially important for music or clip tracks.
For more details, please see Automatic Ducking, Foreground and Background Tracks .

Unchanged (Foreground):

We sometimes received complaints from users, which produced very complex music or clip tracks, that Auphonic changes the levels too hard.
If you set the parameter Fore/Background to the new option Unchanged (Foreground), Level relations within this track won’t be changed at all. It will be added to the final mixdown so that foreground/solo parts of this track will be as loud as (foreground) speech from other tracks.

Background Level:

It is now possible to set the level of background segments/tracks (compared to foreground segments) in background and ducking tracks. By default, background and ducking segments are 18dB softer than foreground segments.

Leveler Parameters

Similar to our Singletrack Advanced Leveler Parameters (see this previous blog post), we also released leveling parameters for Multitrack Productions now.
The following advanced parameters for our Multitrack Adaptive Leveler can be set for each track and allow you to customize which parts of the audio should be leveled, how much they should be leveled, how much dynamic range compression should be applied and to set the stereo panorama (balance):

Leveler Preset:

Select the Speech or Music Leveler for this track.
If set to Automatic (default), a classifier will decide if this is a music or speech track.

Dynamic Range:

The parameter Dynamic Range controls how much leveling is applied: Higher values result in more dynamic output audio files (less leveling). If you want to increase the dynamic range by 3dB (or LU), just increase the Dynamic Range parameter by 3dB.
For more details, please see Multitrack Leveler Parameters.

Compressor:

Select a preset for Micro-Dynamics Compression: Auto, Soft, Medium, Hard or Off.
The Compressor adjusts short-term dynamics, whereas the Leveler adjusts mid-term level differences.
For more details, please see Multitrack Leveler Parameters.

Stereo Panorama (Balance):

Change the stereo panorama (balance for stereo input files) of the current track.
Possible values: L100, L75, L50, L25, Center, R25, R50, R75 and R100.

If you understand German and want to know more about our Advanced Leveler Parameters and audio dynamics in general, watch our talk at the Subscribe10 conference:
Video: Audio Lautheit und Dynamik.

Better Hum and Noise Reduction Controls

Noise Reduction Amount:

Maximum noise and hum reduction amount in dB, higher values remove more noise.
In Auto mode, a classifier decides if and how much noise reduction is necessary (to avoid artifacts). Set to a custom (non-Auto) value if you prefer more noise reduction or want to bypass our classifier.

Hum Base Frequency:

Set the hum base frequency to 50Hz or 60Hz (if you know it), or use Auto to automatically detect the hum base frequency in each speech region.

Hum Reduction Amount:

Maximum hum reduction amount in dB, higher values remove more noise.
In Auto mode, a classifier decides how much hum reduction is necessary in each speech region. Set it to a custom value (> 0), if you prefer more hum reduction or want to bypass our classifier. Use Disable Dehum to disable hum reduction and use our noise reduction algorithms only.

Behavior of noise and hum reduction parameter combinations:

Maximum True Peak Level

In the Master Algorithm Settings of your multitrack production, you can set the maximum allowed true peak level of the processed output file, which is controlled by the True Peak Limiter after our Loudness Normalization algorithms.

If set to Auto (which is the current default), a reasonable value according to the selected loudness target is used: -1dBTP for 23 LUFS (EBU R128) and higher, -2dBTP for -24 LUFS (ATSC A/85) and lower loudness targets.

Full API Support

All advanced algorithm parameters, for Singletrack and Multitrack Productions, are available in our API as well, which allows you to integrate them into your scripts, external workflows and third-party applications.

Join the Beta and Send Feedback

Please join our beta and let us know your case studies, if you need any other algorithm parameters or if you have any questions!

Here are some private beta invitation codes:

8tZPc3T9pH VAvO8VsDg9 0TwKXBW4Ni kjXJMivtZ1 J9APmAAYjT Zwm6HabuFw HNK5gF8FR5 Do1MPHUyPW CTk45VbV4t xYOzDkEnWP
9XE4dZ0FxD 0Sl3PxDRho uSoRQxmKPx TCI62OjEYu 6EQaPYs7v4 reIJVOwIr8 7hPJqZmWfw kti3m5KbNE GoM2nF0AcN xHCbDC37O5
6PabLBRm9P j2SoI8peiY olQ2vsmnfV fqfxX4mWLO OozsiA8DWo weJw0PXDky VTnOfOiL6l B6HRr6gil0 so0AvM1Ryy NpPYsInFqm
oFeQPLwG0k HmCOkyaX9R G7DR5Sc9Kv MeQLSUCkge xCSvPTrTgl jyQKG3BWWA HCzWRxSrgW xP15hYKEDl 241gK62TrO Q56DHjT3r4
9TqWVZHZLE aWFMSWcuX8 x6FR5OTL43 Xf6tRpyP4S tDGbOUngU0 5BkOF2I264 cccHS0KveO dT29cF75gG 2ySWlYp1kp iJWPhpAimF

If you have an invitation code, you can enter it here to activate the Multitrack Advanced Audio Algorithm Parameters:
Auphonic Algorithm Parameters Private Beta Activation

I've never thought of myself as a "car person". The last new car I bought (and in fact, now that I think about it, the first new car I ever bought) was the quirky 1998 Ford Contour SVT. Since then we bought a VW station wagon in 2011

We’re delighted to launch the first ever website for this local irrigation company that has been around since 1989! Automated...continue reading

https://blog.pixelic.io/pixelic-for-figma/

You know what sucks? Having to navigate through dozens of tools, all on separate dashboards, just to get one job done. Nowadays, there’s a tool for everything, and while that’s amazing, it’s very overwhelming sometimes. Oftentimes, some tools are forgotten about completely. How on earth do we tackle this situation? I mean, as time goes […]

Read More at Teamstack: Everything You Need, All in One Place

Among all of the design agencies’ headaches, artwork proofing is probably one of the most acute ones. Forwarding countless numbers of requests, following up your approvers with reminders that they have a file to check, searching for their feedback in the endless pile of emails or messages… Quite daunting, to say the least, and quite […]

Access management can be a bit of a nightmare, especially when we realize that we rely on a number of different, independent services that power our organizations. Many businesses use Gmail for email, Google Docs for documents, Slack for communication, GitHub for their codebase, etc. Yet each of these services provides their own permissions screens, […]

The post Teamstack: Easy Automation of Identity Management (Sponsored) appeared first on David Walsh Blog.

Video games are always a fun time, something we desperately need during our COVID lockdown. A few years back I shared how to play retro games on Mac, as well as how to patch games to play popular ROM hacks like Grand Poo World and Invictus. One disadvantage that Macs have, however, is performance — […]

The post How to Play Retro Game ROMs on Windows appeared first on David Walsh Blog.

Recently, I walked you through how to create a simple landing page that used a couple different CSS animation techniques. “Animation” is a loose term, in web design usually referring to anything that involves movement. CSS transitions are one tool we are given to manipulate elements on state changes or mouse events, and when combines […]

The post Easy CSS Animation With Transition & Transforms appeared first on Web Designer Wall.

The success of any organization strongly depends on the marketing strategies they use to reach their potential customers. Law firms are no exception since they also operate in a competitive field...

On this week's episode, we were joined by Stray From the Path guitarist Tom Williams. We talk about band's recently...

The post METAL INJECTION LIVECAST #541 - Thank You For Your Cervix with STRAY FROM THE PATH's Tom Williams appeared first on Metal Injection.

By Jon Queally Common Dreams “This is the stuff that worries me most. We don’t know what we’re doing, not trying to stop it, [and] with big consequences we don’t really understand.” The first global scientific review of its kind … Continue reading →

By Jessica Corbett Common Dreams “The most robust study of the ice mass balance of Antarctica to date,” scientists say, “now puts Antarctica in the frame as one of the largest contributors to sea-level rise.” Scientists are expressing alarm over … Continue reading →

By Jon Queally Common Dreams “This is the stuff that worries me most. We don’t know what we’re doing, not trying to stop it, [and] with big consequences we don’t really understand.” The first global scientific review of its kind … Continue reading →

Some of the problems we work on as UX researchers are simple and are easily solved by getting users in front of our product. But other problems can be complex and it's hard to know how to start solving them. In situations like that, a simple 2x2 diagram can cut through the 'what ifs', the 'how abouts' and the edge cases and provide a simple way of looking at the problem. Here are 10 examples of 2x2 diagrams to simplify UX research discussions.

Everyday consumer products continue to frustrate people. The failure of companies to fully embrace UX is partly to blame, but there is also another reason -- one that is seldom discussed. Consumer product companies pay too much heed to their retail customers and, in so doing, they prevent the development team from getting first-hand knowledge of end users.

Want to send SMS messages to your WordPress users? With automated SMS notification, you can keep your customers updated by sending order notification, shipment delivery status, cancellation notification, and more. In this article, we’ll show you how to send SMS messages to your WordPress users with ease. Sending Automated SMS Messages From WordPress SMS messages […]

The post How to Send SMS Notifications From WordPress (Step by Step) appeared first on IsItWP - Free WordPress Theme Detector.

Want to create “Google Forms style” forms for your WordPress website? A lot of publishers choose Google Forms to create a survey because it provides a distraction-free landing page dedicated to the form. If you want to create a distraction-free landing page specifically for your form, but don’t want to use a third-party app, like […]

The post How to Create a “Google Forms Style” Form in WordPress appeared first on IsItWP - Free WordPress Theme Detector.

Looking to build an online form on your WordPress site? Not sure whether you should use WPForms or Google Forms? Both WPForms and Google Forms are two great options for small and medium scale businesses. But when you dig deeper, you’ll find a few key differences between these 2 form builders. To help you find […]

The post WPForms vs. Google Forms – Which One is Best? (Compared) appeared first on IsItWP - Free WordPress Theme Detector.

Even though I’m an extrovert, I have a feeling the future favors the introvert. Beth Comstock was at the CreativeLive studios in Seattle and I could not help but snag her for a quick moment to pick her brain on one of the most popular topics on my channel — navigating an extroverted world as an introvert. As a self-described introvert, Beth knows what it’s like to find elevate your strengths and have the courage to defend your creative ideas. Beth was named one of the most powerful women in business. After leaving a 27 year career at GE as their Chief Marketing Officer and Vice Chair, she decided to got a completely different direction to focus on new areas such as writing, art, exploration, and discovery. In this episode, Beth shares her advice to embrace your nature, and bring those strengths to any client, team, or situation. Enjoy! If you dig the show, please give a shout out to Beth on social and let her know. ???? FOLLOW BETH: twitter | instagram | 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 […]

The post The Introvert Advantage with Beth Comstock appeared first on Chase Jarvis Photography.

The web is awash with words. They’re everywhere. On websites, in emails, advertisements, tweets, pop-ups, you name it. More people are publishing more copy than at any point in history. That means a lot of information, and a lot of competition. In recent years a slew of ‘readability’ programs have appeared to help us tidy up the things we write. (Grammarly, Readable, and Yoast are just a handful that come to mind.

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:…

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…

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 -…

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter $lambda$ varies. This work continues our research published in arXiv:2004.12583, where $xi equiv 0 $ and in the reaction the parametric term is the singular one.

A topological dynamical system $(X,f)$ induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace.

We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of $(X,f)$. We also consider the entropy order of an invariant measure and a variational principle is established.

We show how to efficiently compute the derivative (when it exists) of the solution map of log-log convex programs (LLCPs). These are nonconvex, nonsmooth optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs. We focus specifically on LLCPs generated by disciplined geometric programming, a grammar consisting of a set of atomic functions with known log-log curvature and a composition rule for combining them. We represent a parametrized LLCP as the composition of a smooth transformation of parameters, a convex optimization problem, and an exponential transformation of the convex optimization problem's solution. The derivative of this composition can be computed efficiently, using recently developed methods for differentiating through convex optimization problems. We implement our method in CVXPY, a Python-embedded modeling language and rewriting system for convex optimization. In just a few lines of code, a user can specify a parametrized LLCP, solve it, and evaluate the derivative or its adjoint at a vector. This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters. We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow. Finally, we present applications to designing queuing systems and fitting structured prediction models.

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.

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 $mathop{mathrm{Aut}}({X_{n}^{mathbb{N}}, sigma_{n}})$.

In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalities of some special (large, indiscrete, inseparated) coarse structures on $omega$, about the interplay between properties of a coarse space and its Higson corona, about some special ultrafilters ($T$-points and cellular $T$-points) related to finitary coarse structures on $omega$, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties.

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.

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.

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.