Modern parenting can be difficult, but SolePath's Dr. Debra Ford believes that those parents who adopt the SolePath method into their parenting will be able to create a stronger bond between themselves and their child.

Gymnastics Fantastic is an online store for professional and beginner athletes. It offers a 10% discount or free delivery for rhythmic gymnastics competition leotards if you place your order as a team.

Today, a reliable brand of sports products is offering a 20% discount for rhythmic gymnastics leotards, accessories, and other products. Gymnastics Fantastic is known for its high-class training uniforms for all ages.

A famous trademark of sports goods for people of all ages has launched a new collection for the next year. It includes marvelous competition dresses for figure skating and comfortable gymnastic shorts.

Shareholders will be ecstatic, with their stake up 30% over the past week following ObsEva SA's (NASDAQ:OBSV) latest...

I love, love, love the colors!!!! Fantastic!!!!

Online angel investment platform, Angels Partners, announced this year had been exceptional in connecting entrepreneurs and investors across different locations (India, USA & EU) and industries.

Two of our crew have played the first couple hours of Ori and the Will of the Wisps, and they have nothing but good news to report. Plus: GDC's cancellation, Xbox Series X's Quick Resume feature is even better than we thought, and more!

With time-series decomposition, we were able to infer that the consumers were waiting for the highest sale of the year rather than buying up-front.

Paul Saffo, technology forecaster and author of the HBR article "Six Rules for Effective Forecasting."

J. Martinez & Company fine coffees would like to discuss the recent rise in coffee tastings.

Jorge Silva/Reuters

• As some countries have started to lift their lockdown measures, public places have been making changes to adapt to government-issued social distancing measures. 
• More public places are using tape, floor markers and plastic dividers to help people comply with social distancing guidelines. 
• Photos show how people are trying to adapt to a new way of life during the coronavirus pandemic.
• Visit Business Insider's homepage for more stories.

As some countries begin to lift their coronavirus lockdown measures, public places have been getting creative to adjust to social distancing guidelines.

From waiters wearing personal protective equipment to schools using plastic dividers between children, these photos show the world is adjusting to life under the coronavirus pandemic.

As countries begin to slowly lift their lockdown measures, many changes have to be made to public life in an effort to prevent second waves of COVID-19.

One of the places that have to adapt the most is restaurants. Some have been coming up with creative ways to enforce social distancing measures, including putting up dividers on tables.

But in some places, a plastic divider is not enough. Diners in this Bangkok restaurant, for example, have been asked to sit diagonally from each other to maximize their distance.

See Also:

• Shanghai Disneyland cast members told to wear face masks and avoid guest contact ahead of next week's reopening as China emerges from pandemic
• A West Virginia worker told us what it was like living at his factory for 28 days to help make PPE, and says he would 'absolutely' do another 'lock-in' to help
• These photos show thousands flocking to New York's parks over the weekend after Mayor de Blasio said that good weather 'is very much a threat to us'

SEE ALSO: LA's skies are smog-free and peacocks are roaming the streets of Dubai. Photos show how nature has returned to cities shut down by the coronavirus pandemic.

Each t-shirt saves approximately 27 litres of water, uses 50% less energy to produce and reduces carbon emission by over 54%.

Paradoxically and fatally, just when risk of a downturn is at its highest, optimism also ends up peaking! So be careful with your forecasts; and even more careful with the forecasts of others.

Gymnastics is a great combination of strength, balance, flexibility and grace.

RBI's Monetary Policy Report forecasts global recession, says India's growth outlook "drastically altered"

Stallion Spotlight offers stud farm representatives a chance to address breeders and answer questions as they finalize their mating decisions for the 2020 breeding season. In this edition, Tom Hamm, director of stallion seasons at Three Chimneys, talks about Funtastic, a Grade 1 winner whose first foals are arriving in 2020. Funtastic Gr. or ro. h., […]

The post Stallion Spotlight: Tom Hamm Of Three Chimneys On Funtastic appeared first on Horse Racing News | Paulick Report.

Kostya Medvedovsky writes: I wanted to direct your attention to the University of Texas COVID-19 Modeling Consortium’s new projections. They’re very similar to the IMHE model you’ve covered before, and had some calibration issues. However, per the writeup by Spencer Woody et al., they do three things you may be interested in: They fix an […]

College students from around the country participated in Alternative Spring Break by helping Grand Canyon National Park's wildland firefighting crew. https://www.nps.gov/grca/learn/news/alternative-spring-break.htm

This new research has outlined yet another benefit to intermittent fasting—that may arise from the time you eat, rather than what you eat.

The post New Intermittent Fasting Program Shown to Suppress Cancer and Metabolic Disease in Mice and Humans appeared first on Good News Network.

A New York company called Veles is selling an all-purpose cleaner made of food waste collected from Manhattan cafeterias, and ditches plastic spray bottles.

The post All-Purpose Cleaner is Made Entirely of Food Waste Collected in NYC—and Ditches Plastic Spray Bottles appeared first on Good News Network.

Rather than just delivering milk to people's doorsteps, Loop is creating a circular delivery of groceries with all packaging being washed and reused.

The post They’re Fixing The World’s Plastic Problem Using ‘The Milkman’ Concept – With All Your Favorite Products appeared first on Good News Network.

The Danish toy company has reworked some of their equipment to produce more than 13,000 protective plastic face masks every day.

The post LEGO Factory is Now Producing Thousands of Protective Plastic Face Masks for Medical Workers appeared first on Good News Network.

WestProPlus is an add-in program developed to work with Microsoft Excel to simulate the growth and management of all-aged Douglas-fir-western hemlock (Pseudotsuga menziesii (Mirb.) Franco-Tsuga heterophylla (Raf.) Sarg.) stands in Oregon and Washington. Its built-in growth model was calibrated from 2,706 permanent plots in the Douglas-fir-western hemlock forest type in Oregon and Washington. Stands are described by the number of trees per acre in each of nineteen 2-in diameter classes in four species groups: Douglas-fir, other shadeintolerant species, western hemlock, and other shade-tolerant species. WestProPlus allows managers to predict stand development by year and for many decades from a specific initial state. The simulations can be stochastic or deterministic. The stochastic simulations are based on bootstrapping of the observed errors in models of stand growth, timber prices, and interest rate. When used in stochastic simulations, this bootstrap technique simulates random variables by sampling randomly (with replacement) from actual observations of the variable, rather than from an assumed distribution. Users can choose cutting regimes by specifying the interval between harvests (cutting cycle) and a target distribution of trees remaining after harvest. A target distribution can be a reverse-J-shaped distribution or any other desired distribution. Diameterlimit cuts can also be simulated. Tabulated and graphic results show diameter distributions, basal area, volumes by log grade, income, net present value, and indices of stand diversity by species and size. This manual documents the program installation and activation, provides suggestions for working with Excel, and gives background information on West-ProPlus's models. It offers a comprehensive tutorial in the form of two practical examples that explain how to start the program, enter simulation data, execute a simulation, compare simulations, and plot summary statistics.

Over the last several decades, the overall air quality goal in the United States has been to protect public health and clear skies by reducing emissions. At the same time, however, the risk of catastrophic fire has been rising in forests around the country as overly dense trees and understory brush crowd the stands.

SPANISH BROADCASTING SYSTEM joined with the SOUTH FLORIDA HISPANIC CHAMBER OF COMMERCE, HOLIDAY BAKERY, and ART DECO SUPERMARKET AND CAFETERIA to deliver 100 hot meals and treats for … more

Catch up to the latest in the brave new world of podcasting with ALL ACCESS' Podcasting section, courtesy of News-Talk-Sports Editor PERRY MICHAEL SIMON and Next Steps columnist SETH … more

So legendary QUEEN guitarist BRIAN MAY, known for being very active on INSTAGRAM, revealed, "Reality check! For me. No - the Virus didn’t get me yet - thank God. Hope you’re … more

I shared my work from home setup in a post earlier this month, but I’ve since had to set up…

By Lauren McCauley Common Dreams At this rate, plastics production will account for 20 percent of total oil consumption and 15 percent of the global annual carbon budget by 2050. The weight of plastic waste clogging the world’s oceans threatens … Continue reading →

By TEDxCharleston Eight million tons. That’s a lot of plastic to swallow, and a lot of straws to bear even if you’re the world’s oceans (yes, who knew we use 300 million plastic straws a day?). Or rather, especially if … Continue reading →

By David Suzuki David Suzuki Foundation The fossil fuel era must end, or it will spell humanity’s end. The threat isn’t just from pollution and accelerating climate change. Rapid, wasteful exploitation of these valuable resources has also led to a … Continue reading →

You’ve probably had the experience of browsing other people’s graphic projects and wishing you could achieve such effects too. In order to accomplish that, you should expand your knowledge by...

Simon Scarr and Marco Hernandez at Reuters created Drowning in Plastic, visualizing the amount of plastic bottles we consume, recycle and throw away every hour, day, month, year and decade.

Around the world, almost 1 million plastic bottles are purchased every minute. As the environmental impact of that tide of plastic becomes a growing political issue, major packaged goods sellers and retailers are under pressure to cut the flow of the single-use bottles and containers that are clogging the world’s waterways.

Plastic production has surged in the last 50 years, leading to widespread use of inexpensive disposable products that are having a devastating effect on the environment. Images of plastic debris-strewn beaches and dead animals with stomachs full of plastic have sparked outrage.

Polyethylene terephthalate (PET) bottles are commonly used for soft drinks and mineral water, but can also be used in other household or personal care products. Data from Euromonitor International, shows that more than 480 billion of these bottles were sold last year alone. That’s almost 1 million every minute, as shown in the animation at the top of this page. The illustrations below show what that pile of plastic would look like if it was collected over a longer period of time.

The visuals of massive piles of plastic bottles next to recognizable landmarks helps provide context and scale to readers.

They also provided a nice Sankey Diagram showing the fate of most plastic bottles is to end up in the landfill.

Found on FlowingData

The paper considers constrained linear systems with stochastic additive disturbances and noisy measurements transmitted over a lossy communication channel. We propose a model predictive control (MPC) law that minimizes a discounted cost subject to a discounted expectation constraint. Sensor data is assumed to be lost with known probability, and data losses are accounted for by expressing the predicted control policy as an affine function of future observations, which results in a convex optimal control problem. An online constraint-tightening technique ensures recursive feasibility of the online optimization and satisfaction of the expectation constraint without bounds on the distributions of the noise and disturbance inputs. The cost evaluated along trajectories of the closed loop system is shown to be bounded by the optimal predicted cost. A numerical example is given to illustrate these results.

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.

This paper deals with an optimal control problem associated to the Kuramoto model describing the dynamical behavior of a network of coupled oscillators. Our aim is to design a suitable control function allowing us to steer the system to a synchronized configuration in which all the oscillators are aligned on the same phase. This control is computed via the minimization of a given cost functional associated with the dynamics considered. For this minimization, we propose a novel approach based on the combination of a standard Gradient Descent (GD) methodology with the recently-developed Random Batch Method (RBM) for the efficient numerical approximation of collective dynamics. Our simulations show that the employment of RBM improves the performances of the GD algorithm, reducing the computational complexity of the minimization process and allowing for a more efficient control calculation.

Miller and Sheffield introduced a notion of an imaginary surface as an equivalence class of pairs of simply connected proper subdomains of $mathbb{C}$ and Gaussian free fields (GFFs) on them under conformal equivalence. They considered the situation in which the conformal transformations are given by a chordal Schramm--Loewner evolution (SLE). In the present paper, we construct processes of GFF on $mathbb{H}$ (the upper half-plane) and $mathbb{O}$ (the first orthant of $mathbb{C}$) by coupling zero-boundary GFFs on these domains with stochastic log-gases defined on parts of boundaries of the domains, $mathbb{R}$ and $mathbb{R}_+$, called the Dyson model and the Bru--Wishart process, respectively, using multiple SLEs evolving in time. We prove that the obtained processes of GFF are stationary. The stationarity defines an equivalence relation between GFFs, and the pairs of time-evolutionary domains and stationary processes of GFF will be regarded as generalizations of the imaginary surfaces studied by Miller and Sheffield.

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

We 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.

We consider the stochastic 2-dimensional Cahn-Hilliard equation which is driven by the derivative in space of a space-time white noise. We use two different approaches to study this equation. First we prove that there exists a unique solution $Y$ to the shifted equation (see (1.4) below), then $X:=Y+{Z}$ is the unique solution to stochastic Cahn-Hilliard equaiton, where ${Z}$ is the corresponding O-U process. Moreover, we use Dirichlet form approach in cite{Albeverio:1991hk} to construct the probabilistically weak solution the the original equation (1.1) below. By clarifying the precise relation between the solutions obtained by the Dirichlet forms aprroach and $X$, we can also get the restricted Markov uniquness of the generator and the uniqueness of martingale solutions to the equation (1.1).

The article is devoted to the expansion of iterated Stratonovich stochastic integrals of arbitrary multiplicity $k$ $(kinmathbb{N})$ based on the generalized iterated Fourier series. The case of Fourier-Legendre series as well as the case of trigonotemric Fourier series are considered in details. The obtained expansion provides a possibility to represent the iterated Stratonovich stochastic integral in the form of iterated series of products of standard Gaussian random variables. Convergence in the mean of degree $2n$ $(nin mathbb{N})$ of the expansion is proved. Some modifications of the mentioned expansion were derived for the case $k=2$. One of them is based of multiple trigonomentric Fourier series converging almost everywhere in the square $[t, T]^2$. The results of the article can be applied to the numerical solution of Ito stochastic differential equations.

We present a method for optimal path planning of human walking paths in mountainous terrain, using a control theoretic formulation and a Hamilton-Jacobi-Bellman equation. Previous models for human navigation were entirely deterministic, assuming perfect knowledge of the ambient elevation data and human walking velocity as a function of local slope of the terrain. Our model includes a stochastic component which can account for uncertainty in the problem, and thus includes a Hamilton-Jacobi-Bellman equation with viscosity. We discuss the model in the presence and absence of stochastic effects, and suggest numerical methods for simulating the model. We discuss two different notions of an optimal path when there is uncertainty in the problem. Finally, we compare the optimal paths suggested by the model at different levels of uncertainty, and observe that as the size of the uncertainty tends to zero (and thus the viscosity in the equation tends to zero), the optimal path tends toward the deterministic optimal path.

We study SLE$_{kappa}$ theory with elements of Quasi-Sure Stochastic Analysis through Aggregation. Specifically, we show how the latter can be used to construct the SLE$_{kappa}$ traces quasi-surely (i.e. simultaneously for a family of probability measures with certain properties) for $kappa in mathcal{K}cap mathbb{R}_+ setminus ([0, epsilon) cup {8})$, for any $epsilon>0$ with $mathcal{K} subset mathbb{R}_{+}$ a nontrivial compact interval, i.e. for all $kappa$ that are not in a neighborhood of zero and are different from $8$. As a by-product of the analysis, we show in this language a version of the continuity in $kappa$ of the SLE$_{kappa}$ traces for all $kappa$ in compact intervals as above.

We present a sound and complete method for the verification of qualitative liveness properties of replicated systems under stochastic scheduling. These are systems consisting of a finite-state program, executed by an unknown number of indistinguishable agents, where the next agent to make a move is determined by the result of a random experiment. We show that if a property of such a system holds, then there is always a witness in the shape of a Presburger stage graph: a finite graph whose nodes are Presburger-definable sets of configurations. Due to the high complexity of the verification problem (non-elementary), we introduce an incomplete procedure for the construction of Presburger stage graphs, and implement it on top of an SMT solver. The procedure makes extensive use of the theory of well-quasi-orders, and of the structural theory of Petri nets and vector addition systems. We apply our results to a set of benchmarks, in particular to a large collection of population protocols, a model of distributed computation extensively studied by the distributed computing community.

Fashion trend forecasting is a crucial task for both academia and industry. Although some efforts have been devoted to tackling this challenging task, they only studied limited fashion elements with highly seasonal or simple patterns, which could hardly reveal the real fashion trends. Towards insightful fashion trend forecasting, this work focuses on investigating fine-grained fashion element trends for specific user groups. We first contribute a large-scale fashion trend dataset (FIT) collected from Instagram with extracted time series fashion element records and user information. Further-more, to effectively model the time series data of fashion elements with rather complex patterns, we propose a Knowledge EnhancedRecurrent Network model (KERN) which takes advantage of the capability of deep recurrent neural networks in modeling time-series data. Moreover, it leverages internal and external knowledge in fashion domain that affects the time-series patterns of fashion element trends. Such incorporation of domain knowledge further enhances the deep learning model in capturing the patterns of specific fashion elements and predicting the future trends. Extensive experiments demonstrate that the proposed KERN model can effectively capture the complicated patterns of objective fashion elements, therefore making preferable fashion trend forecast.

Selecting an appropriate model to forecast product demand is critical to the manufacturing industry. However, due to the data complexity, market uncertainty and users' demanding requirements for the model, it is challenging for demand analysts to select a proper model. Although existing model selection methods can reduce the manual burden to some extent, they often fail to present model performance details on individual products and reveal the potential risk of the selected model. This paper presents DFSeer, an interactive visualization system to conduct reliable model selection for demand forecasting based on the products with similar historical demand. It supports model comparison and selection with different levels of details. Besides, it shows the difference in model performance on similar products to reveal the risk of model selection and increase users' confidence in choosing a forecasting model. Two case studies and interviews with domain experts demonstrate the effectiveness and usability of DFSeer.

A Non-terrestrial Network (NTN) comprising Low Earth Orbit (LEO) satellites can enable connectivity to underserved areas, thus complementing existing telecom networks. The high-speed satellite motion poses several challenges at the physical layer such as large Doppler frequency shifts. In this paper, an analytical framework is developed for statistical characterization of Doppler shift in an NTN where LEO satellites provide communication services to terrestrial users. Using tools from stochastic geometry, the users within a cell are grouped into disjoint clusters to limit the differential Doppler across users. Under some simplifying assumptions, the cumulative distribution function (CDF) and the probability density function are derived for the Doppler shift magnitude at a random user within a cluster. The CDFs are also provided for the minimum and the maximum Doppler shift magnitude within a cluster. Leveraging the analytical results, the interplay between key system parameters such as the cluster size and satellite altitude is examined. Numerical results validate the insights obtained from the analysis.