This report updates data and comparisons from previous reports (Curtis and others 2000, Curtis 2008) on a series of precommercial thinning and yield trials in high-elevation true fir–hemlock stands, using data from the 12 replicates for which 20-year data are now available. The stands were varying mixtures of Pacific silver fir (Abies amabilis (Douglas ex Loudon) Douglas ex Forbes), western hemlock (Tsuga heterophylla (Raf.) Sarg.), and noble fir (Abies procera Rehder). Trends noted in the 2008 report continue. Increment in top height was somewhat reduced at wide spacings. Volume increment and basal area increment increased as the residual number of trees increased. There was a small increase in diameter increment of the 80 largest trees per acre at wide spacing. Relative stand densities on the unthinned plots, as measured by stand density index (SDI) and relative density (RD), are still increasing; it appears that the maximum (not yet attained) is probably at least 20 to 25 percent greater than values observed in Douglas-fir.

This list of recent publications and other products of the Pacific Northwest PNW Research Station is published four times a year. The first section shows items published by the PNW Research Station. The second section shows publications available elsewhere. In each section, items are grouped alphabetically by authors within categories. The list is available online and in pdf format.

This report investigates the interactions between household location decisions and community characteristics, including green space.

Understanding the capacity to reduce wildfire risk and restore dry forests on Western national forests is a key part of prioritizing new accelerated restoration programs initiated by the Forest Service.

Epiphytic lichens are bioindicators of climate, air quality, and other forest conditions and may reveal how forests will respond to global changes in the U.S. Pacific States of Alaska, Washington, Oregon, and California. We explored climate indication with lichen communities surveyed by using both the USDA Forest Service Forest Inventory and Analysis (FIA) and Alaska Region (R10) methods. Across the Pacific States, lichen indicator species and ordination “climate scores” reflected associations between lichen community composition and climate. Indicator species are appealing targets for monitoring, while climate scores at sites resurveyed in the future can indicate climate change effects.

This report describes the evidence for invasion of Pacific Northwest streams by Atlantic salmon (Salmo salar) that have escaped from marine salmon farms, and assesses the potential impact of farmed salmon invasion on native fishes inhabiting streams on National Forest System lands. The current risk to streams on National Forest lands in the Pacific Northwest from Atlantic salmon invasions appears to be low and is limited to a few areas in northwest Washington and southeast Alaska. However, long-term risks may be substantial if fish continue to escape from marine rearing pens or freshwater hatcheries. The two greatest threats appear to be that (1) Atlantic salmon could transmit a serious disease or parasite to native fishes, and (2) escaped salmon could eventually adapt to local conditions, leading to self-sustaining populations. If Atlantic salmon populations are eventually established, this species' preference for swiftly flowing stream habitats could facilitate competition with currently at-risk species such as steelhead (Oncorhynchus mykiss). This could result in a pattern of expansion similar to that observed in other nonnative aquatic plants and animals, in which a prolonged early colonization period is followed by a rapid phase of exponential growth as breeding populations adapt to local conditions.

During September 19-20, 2006, a conference was held at the University of Washington Botanic Gardens, Seattle, WA, with the title "Meeting the challenge: invasive plants in Pacific Northwest Ecosystems." The mission of the conference was to create strategies and partnerships to understand and manage invasions of non-native plants in the Pacific Northwest. The audience included over 180 professionals, students, and citizens from public and private organizations responsible for monitoring, studying, or managing non-native invasive plants. This proceedings includes twenty-seven papers based on oral presentations at the conference plus a synthesis paper that summarizes workshop themes, discussions, and related information. Topics include early detection and rapid response; control techniques, biology, and impacts; management approaches; distribution and mapping of invasive plants; and partnerships, education, and outreach.

Nonnative plants affect the composition and function of natural and managed ecosystems and have large economic effects through lost or degraded land use and eradication costs. In spite of their importance, very little comprehensive information on the abundance, distribution, and impact of nonnative invasive plants is available.

Transportation corridors (notably roads) affect wildlife habitat, populations, and entire ecosystems. Considerable effort has been expended to quantify direct effects of roads on wildlife populations and ecological communities and processes. Much less effort has been expended toward quantifying indirect effects. In this report, we provide a comprehensive review of road/transportation corridor ecology; in particular, how this new field of ecology has advanced worldwide. Further, we discuss how research thus far has shaped our understanding and views of the ecological implications of transportation infrastructures, and, in turn, how this has led to the current guidance, policies, and management options. We learned that the impacts of transportation infrastructures are a global issue, with the potential to affect a wide variety of taxonomically diverse species and ecosystems. Because the majority of research to date has focused on the direct and more aesthetic and anthropocentric implications of transportation corridors, mainly wildlife-vehicle collisions, it is a fairly standard practice to incorporate underpasses, green bridges (i.e., overpasses), fencing, and barriers into road corridors to alleviate such impacts. Few studies, however, have been able to demonstrate the efficiency of these structures. Furthermore, it is becoming increasingly evident that the indirect implications of transportation infrastructures (i.e., behavioral responses of wildlife individuals to roads) may be more pervasive, at least from the standpoint of biological diversity. Understanding how road corridors influence the functional connectivity of landscapes is crucial if we are to effectively manage species of concern. With these issues in mind, we propose a program of study that addresses the indirect and cumulative implications of transportation infrastructure on species distributions, community structure and ecosystem function

Once gathered only for subsistence and cultural purposes, wild huckleberries are now also harvested commercially. Drawing on archival research as well as harvester and producer interview and survey data, an inventory of North American wild huckleberry plant genera is presented, and the wild huckleberry harvesting patterns of early Native Americans and nonindigenous settlers are described. The social, technological, and environmental changes that gave rise to the commercial industry in the Pacific Northwest by the 1920s and the industry's demise after World War II are explained. The resurgence of the commercial wild huckleberry industry in the mid-1980s and national forest management issues related to the industry are presented as are possible strategies that land managers could develop to ensure wild huckleberry, wildlife, and cultural sustainability.

The Pacific Northwest Research Station launched a Biodiversity Initiative to assist natural resource professionals in integrating complex biodiversity concepts into natural resource management processes. We canvassed clients from various affiliations to determine the main challenges they face in biodiversity management, to define their information needs, and to understand how best to deliver biodiversity information within a collaborative framework. The biodiversity management challenges that emerged included (1) the lack of well-defined biodiversity management policies, (2) understanding and quantifying the interaction effects between a number of factors (e.g., disturbance types, management practices) and biodiversity, (3) the lack of applied biodiversity monitoring strategies, (4) difficulty in locating and accessing biodiversity information, and (5) balancing conflicting values relating to biodiversity. We also list the biodiversity information product needs of clients, as well as preferred technology transfer methods, and we discuss the future direction of the Biodiversity Initiative.

YAMANAIR CREATIVE, has launched an “Emergency Creative Relief Package” (ECRP) for the industry. The package allows radio sellers to custom order, via a simple web portal, any type … more

The E.W. SCRIPPS COMPANY's first quarter revenues jumped 48% year-to-year to $431 million, boosted by the addition of 8 TV stations spun off from the NEXSTAR acquisition of TRIBUNE MEDIA … more

HUBBARD RADIO Chairman/CEO GINNY MORRIS released a company-wide memo which ALL ACCESS has obtained, regarding the downsizings. Hello Everyone, Today is a very tough and unprecedented day at … more

WASHINGTON, D.C., 1 de abril del 2020 – 28 grupos de pacientes y consumidores que representan a millones de personas en todo el país con afecciones de salud preexistentes emitieron la siguiente declaración sobre la decision de la administración de no...

DALLAS, 4 de abril del 2020 — El día de ayer, se publicó una investigación en Circulation, la revista insignia de la American Heart Association, cuyo objetivo es ayudar a generar aún más conciencia sobre las manifestaciones cardiovasculares del ...

WASHINGTON, D. C., 3 de abril del 2020— Hoy, más de 200 organizaciones de protección de pacientes, médicas y de salud pública enviaron una carta a altos funcionarios de la administración de Donald Trump, en la cual se apela a la Administración para que...

DALLAS, 8 de abril del 2020— El impacto mundial del COVID-19 continúa aumentando y, cada día, la comunidad científica aprende más sobre el efecto y la interacción de las enfermedades cardiovasculares con el COVID-19. Juntos, la American Heart Association...

Statements Highlights: Adverse social factors, such as insurance status, food insecurity, lack of funds for medication and others, may lead to worse heart failure outcomes. Caregiving by family and friends of people with heart failure is increasingly...

Aspectos destacados de las declaraciones: Los factores sociales adversos, como el estado de los seguros, la inseguridad alimentaria, la falta de fondos para medicamentos y otros, pueden causar resultados clínicos negativos de la insuficiencia...

The final flight of space shuttle Atlantis represents the end of NASA's shuttle program. In this special report, we compile shuttle program news, photos, facts and history. From the launch of Columbia in 1981, to the tragedy of Challenger in 1986, to the final flight of Atlantis in 2011, with videos, photo galleries, a shuttle trivia quiz and more.

DALLAS, 3 de abril del 2020 – Debido al esfuerzo de médicos, científicos e investigadores de todo el mundo por comprender la pandemia del coronavirus (COVID-19), la American Heart Association está desarrollando un nuevo registro para agregar datos y...

DALLAS, 3 de abril del 2020 – Con la pandemia de COVID-19, más pacientes presentan disnea (dificultad para respirar) y necesitan ventiladores para ayudarlos a respirar. Debido a que los volúmenes de pacientes en hospitales y unidades de cuidados...

Botones para compartir de AddThis Compartir en Facebook Compartir en Twitter Compartir por correo electrónico Compartir para imprimir DALLAS y ARLINGTON, 23 de abril del 2020 — Debido a que la ciencia que emerge en torno al COVID-19...

At the same time Vice President Mike Pence was in Iowa on Friday to discuss the nation’s food supply security, U.S. Rep. Dave Loebsack called on the administration to take more measures to...

Gov. Kim Reynolds has put Iowa on the map, and not in a good way. Sioux City and Waterloo/Cedar Falls are now on the list of communities in America with exploding cases of COVID-19. Both communities are now fighting to protect meatpacking workers and the community because company efforts to protect their workers have failed.

The alarms started going off at Iowa’s meatpacking plant in Tama and Columbus Junction in late March. Packing plants in those communities closed on April 6 due to rampant worker sickness from the deadly virus. Now, after repeated complaints, state OSHA inspectors were finally forced to visit Tyson’s plant in Waterloo. Sadly, however, they still have not conducted a single in-person inspection of any other Iowa plants to make sure that workers have protective equipment and are practicing effective infectious disease control.

Instead, Gov. Reynolds has repeatedly praised company executives for their efforts. trust packing plant CEOs without independently verifying what they were doing is now causing sickness, death and supply chain calamity.

Her ideologically motivated decision to block state inspectors from visiting and helping the plants has thrown Iowa livestock farmers into financial and management turmoil.

Now the president says all packing plants must remain open. This is a disaster. Forcing Iowa workers to work in unsafe conditions without state enforceable protections is cruel and will make all Iowans unsafe while further delaying our economic recovery.

Iowans deserve better.

State Sen. Joe Bolkcom

Iowa City

With the throng of websites on the internet vying for people’s attention, it will be hard to stand out if you don’t have an appealing or dependable business website. Investing in building your own website and acquiring a reliable domain and web hosting provider are some of the things you must do right to make […] More

At the same time Vice President Mike Pence was in Iowa on Friday to discuss the nation’s food supply security, U.S. Rep. Dave Loebsack called on the administration to take more measures to protect workers in food processing plants.

Loebsack also questioned the decisions to reopen the economy being made by the Trump administration and Iowa Gov. Kim Reynolds.

“I don’t think we’re ready for that yet, quite honestly,” the Iowa City Democrat said.

“Ready” will be when adequate protections are in place for the people processing America’s food, Loebsack said.

Workers are showing up on the job, but “they fear for their families, they fear for themselves, they fear for everybody,” Loebsack said. “They don’t know if they’re going to catch this thing or not. But they’re there.”

Of particular concern are workers in food processing, such as those in meatpacking plants in Iowa where more than 1,600 cases of COVID-19 have been reported.

“I really believe that we should not open the plants if we do not ensure worker safety,” Loebsack said.

He called for President Donald Trump to use the Defense Production Act, which the president invoked to keep meatpacking plants open, to ensure an adequate supply of personal protective equipment for packing plant workers.

If Pence and the president are concerned about the nation’s food supply, then they need to “keep those workers safe and, therefore, keep those processing plants running” to avoid meat shortages at the grocery store, Loebsack said.

“We can’t have those plants running if workers are not protected. It’s that simple,” he said. “It’s not just the workers, it’s the families, it’s the community at large.”

With unemployment at 14.7 percent — probably higher, Loebsack said, Congress should extend federal coronavirus-related unemployment benefits of $600 a week beyond their current July end date.

He’s also pleased that the last relief package fixed a Small Business Administration Economic Injury Disaster Loan program to allow farmers to apply for assistance.

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

We’ve used hex colors for years but 8-digit hexadecimal is still relatively new. While rgba is simple to understand, 8-digit hex is more difficult, as you need to provide a hex representation of a numeric value. The following is a hexadecimal chart of opacity! Opacity Value Hex Code 100 FF 99 FC 98 FA 97 […]

The post Hex Opacity Table appeared first on David Walsh Blog.

Have you got yourself a Sony Xperia Z1 Compact but not sure how to do something on it? Don’t worry, we’ve come up with a comprehensive guide for all the things your handset is capable of. Navigate the various sections using the links below. If you can’t find what you’re looking for just leave a … Continue reading Sony Xperia Z1 Compact Complete Guide →

The galaxy is a mesmerizing place, even better throught the eyes of visual design artists around our globe, we're delighted to release another freebie for our design community. This flat vector...

COVID-19 (aka Coronavirus) has obviously been a hot topic recently, especially within the media. But how dangerous is this new virus?

The Covid-19 #Coronavirus Infographic Data Pack on Information is Beautiful gathers the current data around the world (version above is from March 31, 2020) and makes the virus more tangible to understand. The infographic makes comparisons to other diseases when it comes to incubation times and number of deaths, as well as reporting who is dying from it.

Created by David McCandless, Omid Kashan, Fabio Bergamaschi, Dr Stephanie Starling, Univers Labs

From Information Is Beautiful:

We made an infographic of the best COVID-19 / Coronavirus charts floating around, plus some of our own – all with the latest data

We’ll plan to keep it updated every few days.

They have also made all of their data accessible with a Google Sheet link: bit.ly/COVID19-DATA

With so many good and bad COVID-19 charts being published at a frantic pace, I can appreciate the design and effort here to gather some of the best data and the best visualizations together in one place.

Ryan Holiday is described by the New York Times as popularizing stoicism, a philosophy of personal ethics which has been practiced by Kings, presidents, artists, writers, and entrepreneurs. His career started at 19 when he dropped out of college at 19 to work with author Robert Greene. Today, he’s a NYT Bestselling author, with 9 books under his belt, including his latest book: Stillness Is the Key which hit #1 on its first week. In this episode: Stillness isn’t a monk-like existence only reserved for the enlightened. Stillness is the idea of being still in a chaotic world and where our best work will come from. Ryan’s personal habits and process during the creation process to find stillness and it doesn’t include meditation. How to say no and build a practice around managing your time. Enjoy! FOLLOW RYAN: 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 […]

The post Finding Stillness in a Fast Paced World with Ryan Holiday appeared first on Chase Jarvis Photography.

Icons packs are among the most desirable freebies around. There are several out there, going from a wide array of topics from user interfaces to personal finance. But sometimes you can find some rather unusual but clever additions to the icons universe. This Vector Audio DJ Pack is a nice example, brought to you exclusively …

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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.

In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.

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.

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

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 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.

We derive the non-relativistic $c oinfty$ and ultra-relativistic $c o 0$ limits of the $kappa$-deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without a cosmological constant. We apply the theory of Lie bialgebra contractions to the Poisson version of the $kappa$-(A)dS quantum algebra, and quantize the resulting contracted Poisson-Hopf algebras, thus giving rise to the $kappa$-deformation of the Newtonian (Newton-Hooke and Galilei) and Carrollian (Para-Poincar'e, Para-Euclidean and Carroll) quantum symmetries, including their deformed quadratic Casimir operators. The corresponding $kappa$-Newtonian and $kappa$-Carrollian noncommutative spacetimes are also obtained as the non-relativistic and ultra-relativistic limits of the $kappa$-(A)dS noncommutative spacetime. These constructions allow us to analyze the non-trivial interplay between the quantum deformation parameter $kappa$, the curvature parameter $eta$ and the speed of light parameter $c$.

In this paper, we develop the theory for classifying all the geometric fibrations of compact, connected, flat $n$-orbifolds, over a 1-orbifold, up to affine equivalence. We apply our classification theory to classify all the geometric fibrations of compact, connected, flat $2$-orbifolds, over a 1-orbifold, up to affine equivalence. This paper is an essential part of our project to give a geometric proof of the classification of all closed flat 4-manifolds.

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.

Starting from the Hamiltonian formulation of ${cal N}{=},2$ supersymmetric Calogero models associated with the classical $A_n, B_n, C_n$ and $D_n$ series and their hyperbolic/trigonometric cousins, we provide their superspace description. The key ingredients include $n$ bosonic and $2n(n{-}1)$ fermionic ${cal N}{=},2$ superfields, the latter being subject to a nonlinear chirality constraint. This constraint has a universal form valid for all Calogero models. With its help we find more general supercharges (and a superspace Lagrangian), which provide the ${cal N}{=},2$ supersymmetrization for bosonic potentials with arbitrary repulsive two-body interactions.

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.

We prove the effectiveness of the canonical bundle of several Hurwitz spaces of degree k covers of the projective line from curves of genus 13<g<20.

We use Ricci flow to obtain a local bi-Holder correspondence between Ricci limit spaces in three dimensions and smooth manifolds. This is more than a complete resolution of the three-dimensional case of the conjecture of Anderson-Cheeger-Colding-Tian, describing how Ricci limit spaces in three dimensions must be homeomorphic to manifolds, and we obtain this in the most general, locally non-collapsed case. The proofs build on results and ideas from recent papers of Hochard and the current authors.

We develop a distributional framework for the shearlet transform $mathcal{S}_{psi}colonmathcal{S}_0(mathbb{R}^2) omathcal{S}(mathbb{S})$ and the shearlet synthesis operator $mathcal{S}^t_{psi}colonmathcal{S}(mathbb{S}) omathcal{S}_0(mathbb{R}^2)$, where $mathcal{S}_0(mathbb{R}^2)$ is the Lizorkin test function space and $mathcal{S}(mathbb{S})$ is the space of highly localized test functions on the standard shearlet group $mathbb{S}$. These spaces and their duals $mathcal{S}_0^prime (mathbb R^2),, mathcal{S}^prime (mathbb{S})$ are called Lizorkin type spaces of test functions and distributions. We analyze the continuity properties of these transforms when the admissible vector $psi$ belongs to $mathcal{S}_0(mathbb{R}^2)$. Then, we define the shearlet transform and the shearlet synthesis operator of Lizorkin type distributions as transpose mappings of the shearlet synthesis operator and the shearlet transform, respectively. They yield continuous mappings from $mathcal{S}_0^prime (mathbb R^2)$ to $mathcal{S}^prime (mathbb{S})$ and from $mathcal{S}^prime (mathbb S)$ to $mathcal{S}_0^prime (mathbb{R}^2)$. Furthermore, we show the consistency of our definition with the shearlet transform defined by direct evaluation of a distribution on the shearlets. The same can be done for the shearlet synthesis operator. Finally, we give a reconstruction formula for Lizorkin type distributions, from which follows that the action of such generalized functions can be written as an absolutely convergent integral over the standard shearlet group.

We consider the most general class of linear inhomogeneous boundary-value problems for systems of ordinary differential equations of an arbitrary order whose solutions and right-hand sides belong to appropriate Sobolev spaces. For parameter-dependent problems from this class, we prove a constructive criterion for their solutions to be continuous in the Sobolev space with respect to the parameter. We also prove a two-sided estimate for the degree of convergence of these solutions to the solution of the nonperturbed problem.