If you’d have told us at WPZOOM about the current situation we find ourselves in six months ago, we wouldn’t have believed you. It’s all we can see if we turn on the TV and it’s clear right now, humanity has taken a break. Worrying about loved ones, ensuring we stay safe, and for heaven’s sake, stay inside. Staying inside […]

Boutique Boutique offers you full means to create a tremendous on-line retailer. It’s trendy design and completely different layouts and limitless potentialities will aid you to place your merchandise in focus, It’s also fully responsive and you won’t worry how your prospects reach your store (It really works fantastic with both desktops and smartphones) Boutique […]

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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.

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.

It happens less frequently these days but there are times when we need to accommodate for a HTTP request timing out. The service could be down, under heavy traffic, or just poorly coded, or any host of other issues. Whenever I need to simulate a long HTTP request, I use a bit of PHP to […]

The post How to Simulate Long HTTP Requests appeared first on David Walsh Blog.

JavaScript promises have always been a major win for the language — they’ve led to a revolution of asynchronous coding that has vastly improved performance on the web. One shortcoming of native promises is that there’s no true way to cancel a fetch…until now. A new AbortController has been added to the JavaScript specification that […]

The post How to Cancel a Fetch Request appeared first on David Walsh Blog.

Whether you’ve just purchased the Nikon D750 or you’re still in the research phase, you likely already know this is a DSLR with an amazing price point. It’s still one of the top rated cameras, even after more than 5 years on the market. Lightweight and extremely reliable, with excellent dynamic range, the Nikon D750 is a full frame DSLR Continue Reading

The post Nikon D750: Answers to Your Real Questions appeared first on Photodoto.

Fonts took on a revival in handmade styles this year, from calligraphic, script and handwritten to brush painted and block-printed. Combined with the great visual appeal of hero images and typographic layouts in web design, handwriting fonts are a trend that you can expect to see more of. In this article you’ll find a fresh […]

The post 75+ High Quality Free Fonts: Handwriting, Script & Brush Fonts appeared first on Web Designer Wall.

By Sarah Anderson Other Words How poverty, climate change, and bad policy put poor people at greater risk from pest-borne diseases. OK, I admit it, I’m a freeloader. My neighbors asked if I’d go in on a mosquito control service … Continue reading →

Every day thousands of business cards exchange hands, and these business cards often get lost in mounds of other cards. Often, clients are unable to reach you just because they couldn't find your...

I thought we (i.e. me) could use a break, so I made these abstract charts to represent the most popular quotes about hope.

Tags: hope, quote

““I always hated that word—marketing—and I hate it now. Because for me, and this may sound simplistic, the key to marketing is to make something people want. When they want it, they buy it. When they buy it, you have sales. So the product has to speak. The product is what markets things.””

- Interview with Tom Ford.

“

What is deceptive, especially in the West, is our assumption that repetitive and mindless jobs are dehumanizing. On the other hand, the jobs that require us to use the abilities that are uniquely human, we assume to be humanizing. This is not necessarily true. The determining factor is not so much the nature of our jobs, but for whom they serve.

‘Burnout’ is a result of consuming yourself for something other than yourself. You could be burnt out for an abstract concept, ideal, or even nothing (predicament). You end up burning yourself as fuel for something or someone else. This is what feels dehumanizing. In repetitive physical jobs, you could burn out your body for something other than yourself. In creative jobs, you could burn out your soul. Either way, it would be dehumanizing. Completely mindless jobs and incessantly mindful jobs could both be harmful to us.

“In conceptual art the idea or concept is the most important aspect of the work. When an artist uses a conceptual form of art, it means that all of the planning and decisions are made beforehand and the execution is a perfunctory affair. The idea becomes a machine that makes the art. This kind of art is not theoretical or illustrative of theories; it is intuitive, it is involved with all types of mental processes and it is purposeless. It is usually free from the dependence on the skill of the artist as a craftsman.”

- Artist Sol Lewitt on conceptual art.

We're back and this week, we're talking to Avatar's colorful frontman Johannes Eckerström. If you've ever seen the band live,...

The post Squared Circle Pit #54 - AVATAR Frontman Johannes Eckerström Talks Wrestling Unlocking His Love of Metal Frontmen appeared first on Metal Injection.

Comic artist Box Brown is the guest on the show this week. We kick things off talking about his comic...

The post Squared Circle Pit #55 - Comic Artist Box Brown Talks AEW vs. NXT appeared first on Metal Injection.

We're back and super excited to welcome the Hot Topic senior buyer Joe Enriquez to the show. Joe tells the...

The post Squared Circle Pit #56 - Hot Topic's Joe Enriquez talks AEW, ECW and Thrash Metal appeared first on Metal Injection.

We're so excited to finally have British death match legend Jimmy Havoc on the show. We talked about how he...

The post Squared Circle Pit #57 - Jimmy Havoc Talks Death Match Wrestling appeared first on Metal Injection.

By University of Illinois Extension In an era of increasing energy prices, many Americans insulate and seal up their homes during the winter months. Although this can result in savings on the monthly power bill, sealing the home can concentrate … Continue reading →

Personas are antiquated… this coming from someone who has relied on and written about them for years. For years at 3.7 Designs, we’ve created personas during the design discovery phase. I recently realized that the traditional marketing persona is no longer a relevant practice. The keyword here is “traditional.” At 3.7 we’ve adopted a practice […]

The post Why personas are antiquated (and what you should use instead) appeared first on Psychology of Web Design | 3.7 Blog.

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.

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.

Storytelling is one of the oldest art forms. It connects us. Our brains our wired for it. Story is not only a way for us to share and connect with others, but a path to deeper understanding and vulnerability. That’s why I’m very excited to have on the show award winning Poet, Author, and Performer, IN-Q. In addition to his poetry, live performances and storytelling workshops, IN-Q is a multi-platinum songwriter having worked with Selena Gomez, Aloe Black, Miley Cyrus, Mike Posner, and Foster the People. Oprah named him on her SuperSoul 100 list of the world’s most influential thought leaders. He’s been featured all over the place including A&E, ESPN, HBO, and companies such as Nike, Instagram, Spotify, and many more. In our conversation, we get into his new book, Inquire Within. In fact, he reads a bit of it on the show. It’s an awe-inspiring rhythmic exploration of transforming love, loss, and forgiveness into growth. Super excited for you to hear it. We also get into: Developing your own voice by focusing on what’s moving and meaningful for you How to find calm in the chaos Using vulnerability to short-cut and deepen relationships in our lives and much, […]

The post Start in a Place That’s True with IN-Q appeared first on Chase Jarvis Photography.

With the coronavirus pandemic, many folks switched to working online. Things like teaching, business meetings and other face-to-face activities have been replaced with video calls. Home has become both home and workplace, and admit it: your wardrobe totally reflects this. Creative duo The Workmans shows this “fashion crossover” in their latest photo series #COVIDwear. The […]

The post #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers appeared first on DIY Photography.

Rimouski, Bas-St-Laurent, Québec

St-Donat, Bas-St-Laurent, Québec

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.

For a smooth projective variety $X$, we study analogs of Quot functors in hearts of non-standard $t$-structures of $D^b(mathrm{Coh}(X))$. The technical framework is that of families of $t$-structures, as studied in arXiv:1902.08184. We provide several examples and suggest possible directions of further investigation, as we reinterpret moduli spaces of stable pairs, in the sense of Thaddeus (arXiv:alg-geom/9210007) and Huybrechts-Lehn (arXiv:alg-geom/9211001), as instances of Quot schemes.

In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique.

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.

The $(q, mathbf{Q})$-current algebra associated with the general linear Lie algebra was introduced by the second author in the study of representation theory of cyclotomic $q$-Schur algebras. In this paper, we study the $(q, mathbf{Q})$-current algebra $U_q(mathfrak{sl}_n^{langle mathbf{Q} angle}[x])$ associated with the special linear Lie algebra $mathfrak{sl}_n$. In particular, we classify finite dimensional simple $U_q(mathfrak{sl}_n^{langle mathbf{Q} angle}[x])$-modules.

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.

It is well-known that a celebrated J"{o}rgens-Calabi-Pogorelov theorem for Monge-Amp`ere equations states that any classical (viscosity) convex solution of $det(D^2u)=1$ in $mathbb{R}^n$ must be a quadratic polynomial. Therefore, it is an interesting topic to study the existence and uniqueness theorem of such fully nonlinear partial differential equations' Dirichlet problems on exterior domains with suitable asymptotic conditions at infinity. As a continuation of the works of Caffarelli-Li for Monge-Amp`ere equation and of Bao-Li-Li for $k$-Hessian equations, this paper is devoted to the solvability of the exterior Dirichlet problem of Hessian quotient equations $sigma_k(lambda(D^2u))/sigma_l(lambda(D^2u))=1$ for any $1leq l<kleq n$ in all dimensions $ngeq 2$. By introducing the concept of generalized symmetric subsolutions and then using the Perron's method, we establish the existence theorem for viscosity solutions, with prescribed asymptotic behavior which is close to some quadratic polynomial at infinity.

We relate the $L^p$-mapping properties of the Bergman projections on two domains in $mathbb{C}^n$, one of which is the quotient of the other under the action of a finite group of biholomorphic automorphisms. We use this relation to deduce the sharp ranges of $L^p$-boundedness of the Bergman projection on certain $n$-dimensional model domains generalizing the Hartogs triangle.

Connections between set theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and twisted algebras and we derive the associated defining algebra relations for $R$-matrices being Baxterized solutions of the $A$-type Hecke algebra ${cal H}_N(q=1)$. We show in the case of the reflection algebra that there exists a "boundary" finite sub-algebra for some special choice of "boundary" elements of the $B$-type Hecke algebra ${cal B}_N(q=1, Q)$. We also show the key proposition that the associated double row transfer matrix is essentially expressed in terms of the elements of the $B$-type Hecke algebra. This is one of the fundamental results of this investigation together with the proof of the duality between the boundary finite subalgebra and the $B$-type Hecke algebra. These are universal statements that largely generalize previous relevant findings, and also allow the investigation of the symmetries of the double row transfer matrix.

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.

Let $k ,=, mathbb{Q}(sqrt[5]{n},zeta_5)$, where $n$ is a positive integer, $5^{th}$ power-free, whose $5-$class group is isomorphic to $mathbb{Z}/5mathbb{Z} imesmathbb{Z}/5mathbb{Z}$. Let $k_0,=,mathbb{Q}(zeta_5)$ be the cyclotomic field containing a primitive $5^{th}$ root of unity $zeta_5$. Let $C_{k,5}^{(sigma)}$ the group of the ambiguous classes under the action of $Gal(k/k_0)$ = $<sigma>$. The aim of this paper is to determine all integers $n$ such that the group of ambiguous classes $C_{k,5}^{(sigma)}$ has rank $1$ or $2$.

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.

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.

In this paper we design suboptimal control laws for an unknown linear system on the basis of measured data. We focus on the suboptimal linear quadratic regulator problem and the suboptimal H2 control problem. For both problems, we establish conditions under which a given data set contains sufficient information for controller design. We follow up by providing a data-driven parameterization of all suboptimal controllers. We will illustrate our results by numerical simulations, which will reveal an interesting trade-off between the number of collected data samples and the achieved controller performance.

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 $gamma_4(L)$.

We examine Chern-Simons theory as a deformation of a 3-dimensional BF theory that is partially holomorphic and partially topological. In particular, we introduce a novel gauge that leads naturally to a one-loop exact quantization of this BF theory and Chern-Simons theory. This approach illuminates several important features of Chern-Simons theory, notably the bulk-boundary correspondence of Chern-Simons theory with chiral WZW theory. In addition to rigorously constructing the theory, we also explain how it applies to a large class of closely related 3-dimensional theories and some of the consequences for factorization algebras of observables.

We prove the following result: Let $(M,g_0)$ be a compact manifold of dimension $ngeq 12$ with positive isotropic curvature. Then $M$ is diffeomorphic to a spherical space form, or a compact quotient manifold of $mathbb{S}^{n-1} imes mathbb{R}$ by diffeomorphisms, or a connected sum of a finite number of such manifolds. This extends a recent work of Brendle, and implies a conjecture of Schoen in dimensions $ngeq 12$. The proof uses Ricci flow with surgery on compact orbifolds with isolated singularities.

Let $chi_{Delta}(mathbb{R}^{n})$ denote the minimum number of colors needed to color $mathbb{R}^{n}$ so that there will not be a monochromatic equilateral triangle with side length $1$. Using the slice rank method, we reprove a result of Frankl and Rodl, and show that $chi_{Delta}left(mathbb{R}^{n} ight)$ grows exponentially with $n$. This technique substantially improves upon the best known quantitative lower bounds for $chi_{Delta}left(mathbb{R}^{n} ight)$, and we obtain [ chi_{Delta}left(mathbb{R}^{n} ight)>(1.01446+o(1))^{n}. ]