text:
A frame from the offending Moneyman ad.
Use of Papantla Flyers in ad called offensive and discriminatory
Members of the administration have branded the campaign as 'racist'
Published on Monday, June 28, 2021
The president has branded a commercial featuring the Papantla Flyers as racist, after it was also criticized by the Ministry of Culture.
An advertisement for Mexican cash loans provider Moneyman shows the Dance of the Flyers ceremony in full motion and asks: "Do you know what the number of flyers' spins and your first Moneyman loan have in common? Both will generate zero interest."
A block of text displaying "$4,000" — the maximum zero interest payment — then falls from the top of the screen to extinguish a flute player.
The pre-Hispanic ritual, which is principally practiced in Veracruz and Puebla, was named an intangible cultural heritage by UNESCO in 2009. In the ceremony, participants climb a 30-meter pole tied by ropes, before they jump towards the ground and spin around the pole 13 times. One participant remains at the top, dancing and playing a flute and drum.
The president stated his disapproval at Monday morning's press conference, the mañanera: "A few days ago there was a questioning of the dance of the Voladores de Papantla: racist," he said.
Culture Minister Alejandra Frausto Guerrero had already condemned the commercial in similar terms: "An advertisement where the ceremony is offended, discriminated against, devalued and ridiculed; which is considered sacred by the preservers of this ancestral practice … This is one more example of the racism of certain social groups in Mexico toward indigenous peoples," she said.
Frausto also offered her support for cultural organizations which promote the tradition. "We energetically join the pronouncements that have been made against this commercial and offer our full support to the Council for the Protection and Preservation of the Ritual Ceremony of the Flyers," said added.
The actor in the commercial, Arath de la Torre, apologized on social media after thousands of complaints. "I feel a deep admiration for the Papantla Flyers and pride for all the traditions that are part of our culture, so under no circumstances do I want to collaborate in any campaign where my participation could be interpreted as offensive to any person," he said.
The tradition is believed to have originated with the Nahua, Huastec and Otomí peoples in pre-Hispanic central Mexico.
The 13 rotations completed by each Papantla Flyer are a symbolic representation of falling through the 13 heavens of the Sun God, and together equal 52 spins: the number of years in an Aztec "century," or calendar round.
With reports from Milenio and El Sol de San Juan del Río
Tangled lines create anxious moments for Papantla Flyers
A tangled rope caused all four dancers to crash into the steel pole, further tangling the lines. But all managed to climb down to safety.
Papantla flyer falls 15 meters during performance in Hidalgo
555sharesA young male Papantla flyer was gravely injured Wednesday in Hidalgo when he fell during a performance. The acrobat, identified FULL STORY


text:
Q: Checking if there is whitespace between two elements in a String I am working with Strings where I need to separate two chars/elements if there is a whitespace between them. I have seen a former post on SO about the same however it still has not worked for me as intended yet. As you would assume, I could just check if the String contains(" ") and then substring around the space. However my strings could possibly contains countless whitespaces at the end despite not having whitespace in between characters. Hence my question is "How do I detect a whitespace between two chars (numbers too) " ?
//Example with numbers in a String
    String test = "2 2";

    final Pattern P = Pattern.compile("^(\\d [\\d\\d] )*\\d$");

    final Matcher m = P.matcher(test);

    if (m.matches()) {
        System.out.println("There is between space!");
    }

A: You would use String.strip() to remove any leading or trailing whitespace, followed by String.split(). If there is a whitespace, the array will be of length 2 or greater. If there is not, it will be of length 1.
Example:
String test = "    2 2   ";
test = test.strip(); // Removes whitespace, test is now "2 2"
String[] testSplit = test.split(" "); // Splits the string, testSplit is ["2", "2"]
if (testSplit.length >= 2) {
    System.out.println("There is whitespace!");
} else {
    System.out.println("There is no whitespace");
}

If you need an array of a specified length, you can also specify a limit to split. For example:
"a b c".split(" ", 2); // Returns ["a", "b c"]

If you want a solution that only uses regex, the following regex matches any two groups of characters separated by a single space, with any amount of leading or trailing whitespace:
\s*(\S+\s\S+)\s*

A: Positive lookahead and lookbehind may also work if you use the regex (?<=\\w)\\s(?=\\w)

*

*\w : a word character [a-zA-Z_0-9]

*\\s : whitespace

*(?<=\\w)\\s : positive lookbehind, matches if a whitespace preceeded by a \w

*\\s(?=\\w) : positive lookahead, matches if a whitespace followed by a \w

List<String> testList = Arrays.asList("2 2", " 245  ");

Pattern p = Pattern.compile("(?<=\\w)\\s(?=\\w)");
for (String str : testList) {

    Matcher m = p.matcher(str);

    if (m.find()) {
        System.out.println(str + "\t: There is a space!");
    } else {
        System.out.println(str + "\t: There is not a space!");
    }
}

Output:
2 2 : There is a space!
 245    : There is not a space!

A: The reason you pattern does not work as expected is because ^(\\d [\\d\\d] )*\\d$ which can be simplified to (\\d \\d )*\\d$ starts by repeating 0 or more times what is between the parenthesis.
Then it matches a digit at the end of the string. As the repetition is 0 or more times, it is optional and it would also match just a single digit.

If you want to check if there is a single space between 2 non whitespace chars:
\\S \\S

Regex demo | Java demo
final Pattern P = Pattern.compile("\\S \\S");
final Matcher m = P.matcher(test);

if (m.find()) {
    System.out.println("There is between space!");
}

A: Here is the simplest way you can do it:
String testString = "   Find if there is a space.   ";
testString.trim(); //This removes all the leading and trailing spaces
testString.contains(" "); //Checks if the string contains a whitespace still

You can also use a shorthand method in one line by chaining the two methods:
String testString = "   Find if there is a space.   ";
testString.trim().contains(" ");

A: Use
String text = "2 2";
Matcher m = Pattern.compile("\\S\\s+\\S").matcher(text.trim());
if (m.find()) {
    System.out.println("Space detected.");
}

Java code demo.
text.trim() will remove leading and trailing whitespaces, \S\s+\S pattern matches a non-whitespace, then one or more whitespace characters, and then a non-whitespace character again.

redpajama_set_name: RedPajamaStackExchange


text:
PH Money Matters: This Week in Washington
This Week in Washington for October 26, 2020
By Dina Ellis on Oct 26, 2020
Posted in Weekly Update
For the latest advice for businesses dealing with the coronavirus, be sure to check out Paul Hastings' targeted alert series: https://www.paulhastings.com/coronavirus
The United States reported over 80,000 new coronavirus cases on Friday, its highest daily total since the outset of the pandemic. As hospitalization and death rates begin to creep up, public health officials warn the country is entering a concerning phase, where the virus has taken root nationally. Tensions between the President and top infectious disease expert Dr. Anthony Fauci were evident on the campaign trail, with the President disparaging Fauci as a "disaster" but acknowledging the blowback if he were fired would be akin to a "bomb." A second outbreak tied to the White House came to light over the weekend, with five aides to Vice President Mike Pence testing positive for the virus.
President Trump and former Vice President Joe Biden faced off for the final time Thursday evening at their second debate in Nashville. The evening was a calmer and more substantive affair than their first meeting, with the candidates discussing their plans to deal with the pandemic, healthcare, immigration, and sparring over their tax histories and family entanglements. With one week to go before Election Day, both campaigns are embarking on a last push to energize voters. Nearly 60 million early and mail-in ballots have already been cast, dwarfing the early turnout in 2016.
On Thursday, all 12 Republican members of the Senate Judiciary Committee voted to advance Judge Amy Coney Barrett's nomination to serve on the Supreme Court, while all of the Democratic members of the panel boycotted the vote. Senate Majority Leader Mitch McConnell held a rare weekend session, in order to enable the full chamber to hold a confirmation vote on Monday evening.
Stimulus negotiations between Treasury Secretary Steven Mnuchin and House Speaker Nancy Pelosi continued throughout the week, and while some progress was made, several sticking points remain—including liability protections, state and local aid, and school funding amounts. President Trump indicated he supported a large package, but that position put him at odds with many Senate Republicans. On Wednesday, Democrats blocked Republicans' US$500B "skinny" bill, calling the measure insufficient as hope remained for a comprehensive package. Time is running short for a deal prior to the election, though over the weekend Pelosi expressed optimism that an agreement could still come together.
Other highlights of last week include:
The President announced the normalization of relations between Israel and Sudan, as part of a US brokered agreement.
The FBI and DHS issued an alert that Russian and Iranian actors are behind a series of cyberattacks targeting state and local governments in the run-up to the election.
An additional 787,000 Americans filed for unemployment benefits last week.
LAST WEEK ON THE HILL
Warren Urges More Rigorous Bank Merger Reviews as the Justice Department Looks to Update Its Guidelines: Sen. Elizabeth Warren (D-MA) sent a letter to Assistant Attorney General Makan Delrahim, head of the DOJ's Antitrust Division, to raise concerns that in updating its 1995 Bank Merger Competitive Review guidelines for the first time in 25 years, DOJ "seeks to weaken the already insufficient process currently in place to review bank mergers, making it even easier for these mergers to occur."
Senate Democrats Call on SEC to Withdraw Form 13F Proposal: On Thursday, a group of Senate Democrats wrote to Chair Jay Clayton urging the SEC to withdraw the proposed changes that would dramatically increase the Form 13F reporting threshold for institutional investment managers. The lawmakers stressed the proposal would undermine transparency in the U.S. stock market and eliminate critical information used by public companies and the SEC. The Senators called on the agency to withdraw the rule and pursue reforms that increase transparency.
Brown Urges CFPB to Delay Planned Reorganization of Supervision, Enforcement, And Fair Lending Division: On Thursday, Sen. Sherrod Brown (D-OH) demanded that CFPB Director Kathy Kraninger delay implementing a proposed reorganization of the agency's Division of Supervision, Enforcement, and Fair Lending (SEFL). Brown, in his letter, made clear that the agency's move is inappropriate ahead of an election that could determine a future CFPB Director. "After seeing details of the SEFL reorganization, I am even more convinced that it is misguided and will weaken the Bureau's ability to protect consumers from exploitation, abuse, and discrimination in the marketplace. If you insist on going down this ill-advised path, you should at least not move forward with the SEFL reorganization until it is clear that you will continue as Director," wrote Senator Brown.
Senate Rejects CRA Resolution of Disapproval: On Monday, the Senate voted 43 to 48 to reject H.J. Res. 90, a Congressional Review Act resolution introduced by House Financial Services Committee Chair Maxine Waters
(D-CA), which would have nullified the OCC's rule revamping the Community Reinvestment Act.
LEGISLATION INTRODUCED AND PROPOSED
S. 4818: Sen. Ben Cardin (D-MD) introduced S. 4818, which would provide assistance to small businesses affected by COVID-19.
S. 4820: Sen. Pat Toomey (R-PA) introduced S. 4820, which would amend the Internal Revenue Code of 1986 to expand the use of retirement plan funds to obtain long-term care insurance.
Fair Access to Financial Services Act: Senators Sherrod Brown (D-OH), Tina Smith (D-MN), Cory Booker
(D-NJ), Bob Menendez (D-NJ), Elizabeth Warren (D-MA), and Chris Van Hollen (D-MD) introduced the Fair Access to Financial Services Act, a bill that would prohibit banks and other financial institutions from discrimination in providing goods or services on the basis of race, color, religion, national origin, sex, gender identity, or sexual orientation.
Agencies Finalize Rule to Reduce the Impact of Large Bank Failures: On Tuesday, the Federal Reserve, FDIC, and OCC finalized a rule to limit the interconnectedness and reduce the impact from failure of the largest banking organizations. To discourage the largest banking organizations from purchasing TLAC debt, the final rule prescribes a more stringent regulatory capital treatment for holdings of TLAC debt. The regulatory capital treatment in the final rule will help to reduce the interconnectedness between the largest banking organizations and, if a GSIB were to fail, reduce the impact on the U.S. financial system from that failure.
Agencies Issue Final Rule to Strengthen Resilience of Large Banks: On Tuesday, the Federal Reserve, FDIC, and OCC finalized a rule strengthening the resilience of large banks by requiring them to maintain a minimum level of stable funding over a one-year period. The net stable funding ratio, or NSFR, final rule will require large banks to maintain a minimum level of stable funding, relative to each institution's assets, derivatives, and commitments. As a result, the NSFR rule will support the ability of banks to lend to households and businesses in both normal and adverse economic conditions by reducing liquidity risk and enhancing financial stability.
Agencies Invite Comment on Proposed Rule under Bank Secrecy Act: On Friday, FinCEN and the Federal Reserve invited comment on a proposed rule that would amend the recordkeeping and travel rule regulations under the Bank Secrecy Act. FinCEN and the Board, pursuant to their shared authority, are proposing amendments to the recordkeeping rule jointly, while FinCEN, pursuant to its sole authority, is proposing amendments to the travel rule.
Fed Chairman Discusses Digital Currency: On Monday, Fed Chairman Jerome Powell discussed the potential for the bank issuing a digital currency. He said a decision had not yet been made, as the issue needs "extensive" public consultation, emphasizing that it is more important to "get it right than be first," adding, "we are committed to carefully and thoughtfully evaluating the potential costs and benefits of a central bank digital currency for the U.S. economy and payments system."
Financial Action Task Force Adopts New Standards on Proliferation Financing: On Friday, the Financial Action Task Force concluded its 32nd plenary meeting by agreeing to revise its standards to further strengthen the global response to the financing of proliferation related to weapons of mass destruction. The FATF also continued its focus on the impact of the COVID-19 pandemic on detecting and countering fraud, including attempts to defraud government backed stimulus programs. The task force also adopted an updated report on trade-based money laundering and recognized progress by a number of jurisdictions in rectifying their AML/CFT deficiencies. "The collaboration of the FATF is vital to addressing global illicit financial activity, including fraud associated with the COVID-19 pandemic, proliferation financing risk, and other AML/CFT priorities," said Secretary Mnuchin.
SEC and CFTC Approve Final Rule on Security Futures Margin and Request for Comment on Portfolio Margining: On Thursday, at their first joint open meeting to vote on rulemaking initiatives, the SEC and CFTC approved: (1) a joint final rule to harmonize the minimum margin level for security futures held in a futures account with the minimum margin level for security futures held in a securities portfolio margin account, and (2) the issuance of a joint request for comment on the portfolio margining of uncleared swaps and non-cleared security-based swaps.
SEC to Host Panel with Women Entrepreneurs of Color on October 28: On Thursday, the SEC announced that it will host a virtual forum featuring women entrepreneurs and investors of color from Los Angeles and Atlanta, discussing their business experiences and ways to improve access to capital for minorities and women. The discussion, titled "Women of Color Entrepreneurs on Being Powerful Voices for Access to Capital," will take place on October 28.
CFTC and BoE Sign New MOU for Supervision of Cross-Border Clearing Organizations: On Tuesday, the CFTC and Bank of England announced that they have signed an updated Memorandum of Understanding regarding cooperation and the exchange of information in the supervision and oversight of clearing organizations that operate on a cross-border basis in the United States and in the United Kingdom. The MoU strengthens the relationship between the regulators responsible for the resilience of the largest and most important derivatives markets and central counterparties in the world.
CFTC Staff Issues Advisory on Virtual Currency for Futures Commission Merchants: On Wednesday, the CFTC's Division of Swap Dealer and Intermediary Oversight issued an advisory to futures commission merchants regarding the holding of virtual currency in segregated accounts. The advisory provides guidance to FCMs on how to hold and report certain deposited virtual currency from customers in connection with physically-delivered futures contracts or swaps. The advisory also provides guidance that FCMs should follow when designing and maintaining risk management programs concerning the acceptance of virtual currencies as customer funds.
CFPB Issues Final Rule Extending the GSE Patch: On Tuesday, the CFPB issued a final rule to extend the Government-Sponsored Enterprise (GSE) Patch until the mandatory compliance date of a final rule amending the General Qualified Mortgage (QM) loan definition in Regulation Z. The GSE Patch was scheduled to expire on January 10, 2021. The Bureau is not amending the provision in Regulation Z; stating that the GSE Patch will expire if the GSEs (Fannie Mae and Freddie Mac) exit conservatorship.
CFPB Releases Advance Notice of Proposed Rulemaking on Consumer Access to Financial Records: On Thursday, the CFPB issued an advance notice of proposed rulemaking, requesting information related to consumer access to financial records. In issuing the ANPR, the Bureau is asking the public how it might most efficiently and effectively develop regulations to implement Section 1033 of the Dodd-Frank Act, which provides for consumer rights to access financial records. While consumer access to financial records can enable the development of innovative and beneficial consumer financial products, it can also present consumer risks. The Bureau's ANPR seeks comments and information on costs and benefits of consumer data access; competitive incentives; standard-setting; access scope; consumer control and privacy; and data security and accuracy.
SEC Issues Record $114 Million Whistleblower Award: On Thursday, the SEC announced an award of over $114 million to a whistleblower whose information and assistance led to the successful enforcement of SEC and related actions. The $114 million award consists of an approximately $52 million award in connection with the SEC case and an approximately $62 million award arising out of the related actions by another agency. The combined $114 million reward marks the highest award in the program's history, and eclipses the next highest award of $50 million, made to an individual in June 2020.
FDIC Releases Household Banking Survey: On Monday, the FDIC released its biennial survey entitled "How America Banks: Household Use of Banking and Financial Services," which reported that a record 95 percent of U.S. households had a bank or credit union account in 2019. The report also found that a record low 5.4 percent of U.S. households were unbanked in 2019.
FDIC Approves Interim Final Rule to Provide Temporary Relief from Part 363 Audit and Reporting Requirements: On Tuesday, the FDIC issued an interim final rule (IFR) to provide relief for insured depository institutions that, absent regulatory action, would be required to incur substantial costs on a temporary basis. The FDIC's IFR would allow IDIs that have experienced growth to determine whether they are subject to the requirements of Part 363 of the FDIC's regulations for fiscal years ending in 2021 based on the consolidated total assets as of December 31, 2019. Such IDIs, whose asset growth may be temporary but significant, would be otherwise required to develop processes and systems to comply with the annual independent audits and reporting requirements of Part 363 on a potentially short-term basis.
FDIC Announces Meeting of Advisory Committee on Community Banking: On Friday, the FDIC announced it will host a meeting of its Advisory Committee on Community Banking on Wednesday, October 28. Committee members will discuss local banking conditions; proposed changes to the FDIC's supervisory appeals process; the FDIC's Rapid Prototyping Competition; and a potential voluntary certification program to promote new technologies. The agenda also includes updates on supervision matters, insurance and research issues, and the work of the Minority Depository Institutions Subcommittee.
FHFA Extends Temporary Policy Allowing Purchase of Qualified Loans in Forbearance: On Wednesday, the FHFA approved an extension of the current temporary policy that allows for the purchase of certain single-family mortgages in forbearance that meet specific eligibility criteria as set by Fannie Mae and Freddie Mac (the Enterprises). The policy is extended for loans originated through November 30, 2020.
HUD Secretary Ben Carson Hosts Discussion on Federal Government's Response to Homelessness: On Wednesday, HUD Secretary Ben Carson held a roundtable in Austin, Texas, on the federal response to homelessness. The U.S. Interagency Council on Homelessness unveiled a new strategic plan to reduce homelessness, "Expanding the Toolbox: The Whole-of-Government Response to Homelessness," which shares strategies to increase self-sufficiency by considering homelessness beyond a sole issue of housing and instead focusing on the root causes of homelessness for each individual and family experiencing homelessness.
COMINGS AND GOINGS AT THE AGENCIES
New York Fed Launches Search for New First Vice President: On Tuesday, the Federal Reserve Bank of New York announced the search for a new first vice president and chief operating officer, following the retirement of Michael Strine.
Supreme Court Agrees to Hear Challenge to Administration's Border Wall and Asylum Policies: On Monday, the Supreme Court agreed to review the administration's immigration initiatives on border wall funding and policy that asylum seekers remain in Mexico while their applications remain pending.
OTHER NOTEWORTHY NEWS
NYDFS to Host First-Ever Techsprint: New York Superintendent of Financial Services Linda Lacewell announced DFS' first-ever techsprint—an initiative to convene regulators and industry stakeholders to work towards a common goal of Digital Regulatory Reporting (DRR), which aims to give regulators instant access to data provided by firms under their supervision. This effort comes in the context of a trend by global financial regulators to employ techsprints as a mechanism to rapidly prototype technology solutions to key supervisory problems.
Paul Hastings' Government Relations team is monitoring these issues. We help our clients craft strategies to address federal legislative and regulatory matters. Please reach out to us if your organization needs assistance with congressional or regulatory relations.
Dina Ellis Rochkind

redpajama_set_name: RedPajamaCommonCrawl


text:
\section{Introduction}
\label{scintr}

Averaging is an important tool for investigation of dynamical systems. It helps to describe main part of the behavior of solutions to equations.

The averaging principle for stochastic partial differential equations was investigated for different types of equations with different stochastic integrators. For example, two-time-scales system driven by two independent Wiener processes was considered in~\cite{fudu11},  the infinite-dimensional case was studied by~\cite{cerfre}, \cite{breh12}, \cite{wang12}. Weak convergence in the averaging scheme was investigated by \cite{cerr09}, \cite{fu17}.

\cite{peis17} considered the system with the slow component driven by a fractional Brownian motion, case with Poisson random measure was studied in~\cite{peip17}, with $\alpha$-stable noise -- in \cite{bao17}.

In these and other studies, stochastic processes should have finite moments or satisfy some regularity conditions. We will study the case of the more general integrator.

In this paper we consider convergence of the solutions of the one-dimensional stochastic heat equations, which can formally be written as
\begin{equation}
\label{eqhshf}
du_{\varepsilon}(t, x)=\frac{\partial^2 u_{\varepsilon}(t, x)}{\partial x^2}dt +f(x, u_{\varepsilon}(t, x))dt+ \sigma(t/ \varepsilon,x)d\mu(x),\
u_{\varepsilon}(0, x)=u_0(x)\, .
\end{equation}
Here $\varepsilon>0$, $(t, x)\in [0, T]\times\ensuremath{\mathbb{R}}$, and $\mu$ is a stochastic measure defined on Borel
$\sigma$-algebra on $\ensuremath{\mathbb{R}}$. For $\mu$ we assume $\sigma$-additivity in probability only, assumptions for $f,\ \sigma$
and $u_0$ are given in Section~\ref{scprob}.

We will study convergence $u_{\varepsilon}(t, x)\to\bar{u}(t, x),\  \varepsilon\to 0$,
were $\bar{u}$ is the solution of the averaged equation
\begin{equation}
\label{eqhshfav}
d\bar{u}(t, x)=\frac{\partial^2 \bar{u}(t, x)}{\partial x^2}dt +{f}(x, \bar{u}(t, x))dt+ \bar{\sigma}(x)\,d{\mu}(x) ,\
\bar{u}(0, x)=u_0(x)\, .
\end{equation}
We consider solutions to the formal equations~(\ref{eqhshf}) and (\ref{eqhshfav}) in the mild
form (see~(\ref{eqhsife}) and~(\ref{eqhsifb}) below), $\bar{\sigma}$ is defined in~(\ref{eqbarf}).

In comparison with the papers mentioned above, we do not have a special equation for the fast component and study the case of additive noise. The reason is that we cannot properly define the integral of random function with respect to $\mu$ in general case.

Existence, uniqueness, and some regularity properties
of mild solution of~(\ref{eqhshf}) were obtained in~\cite{rads09}. Generalization for the parabolic equation, driven by a stochastic measure was obtained in~\cite{bodumj}. Some other stochastic equations with such integrator were studied in \cite{radc14,radt15}.

The rest of this paper is organized as follows. In Section~\ref{scprel} we give the basic facts about stochastic measures. Section~\ref{scprob} contains the exact formulation of the problem and our assumptions. Formulation and proof of the main result are given in Section~\ref{scaver}.

\section{Preliminaries}
\label{scprel}

Let ${\sf L}_0={\sf L}_0(\Omega, {\mathcal F}, {\sf P} )$ be the set of all real-valued
random variables defined on the complete probability space $(\Omega, {\mathcal F}, {\sf P} )$. Convergence in ${\sf L}_0$ means the convergence in probability. Let ${\mathcal{B}}$ be a Borel $\sigma$-algebra on ${\mathbb R}$.

\begin{definition}
A $\sigma$-additive mapping $\mu:\ {\mathcal{B}}\to {\sf L}_0$ is called {\em stochastic measure} (SM).
\end{definition}

In other words, $\mu$ is a vector measure with values in ${\sf L}_0$. We do not assume additional measurability conditions, positivity or moment existence
for SM.

For a deterministic measurable function $g:\ensuremath{\mathbb{R}}\to\ensuremath{\mathbb{R}}$, $A\in{\mathcal{B}}$ and SM~$\mu$, an integral of the form $\int_{A}g\,d\mu$ is defined and studied in~\cite[Chapter 7]{kwawoy}. In particular, every bounded measurable $g$ is integrable with respect to (w.~r.~t.) any~$\mu$. An analog of the Lebesgue dominated convergence theorem holds for
this integral, see \cite[Proposition 7.1.1]{kwawoy}.

Examples of SMs are the following. Let $M_{t}$ be a square integrable martingale. Then $\mu(A)=\int_0^T {\bf 1}_{A}(t)\,dM_{t}$ is an SM.
If $W^H_{t}$ is a fractional Brownian motion with Hurst index~$H>1/2$ and $g: [0,
T]\to\mathbb{R}$ is a bounded measurable function then $\mu(A)=\int_0^T g(t){\bf 1}_{A}(t)\,dW^H_{t}$ is an SM, as follows from~\cite[Theorem~1.1]{memiva}.
An $\alpha$-stable random measure defined on ${\mathcal{B}}$ is an SM too, see \cite[Chapter 3]{samtaq}.

By $C$ and $C(\omega)$ we will denote a positive finite constants and positive random finite constants respectively whose exact values are not important.

We will use the following statement.

\begin{lem} \label{lmfkmu} (Lemma~3.1 in~\cite{rads09})
Let $\phi_l:\ {\ensuremath{\mathbb{R}}}\to \ensuremath{\mathbb{R}},\ l\ge 1$ be measurable functions such that
$ \tilde{\phi}(x)=\sum_{l=1}^{\infty} \left|{\phi_l}(x)\right|$ is integrable w.r.t.~$\mu$. Then
$\sum_{l=1}^{\infty}\left(\int_{\ensuremath{\mathbb{R}}} \phi_l\,d\mu \right)^2<\infty\ \mbox{\textrm ~a.~s.}$
\end{lem}

We will consider the Besov spaces $B^\alpha_{22}([c, d])$. Recall that the norm in this classical space for
$0<\alpha< 1$ may be introduced by
\begin{equation}
\label{eqbssn}
\|g\|_{B^\alpha_{22}([c, d])}=\|g\|_{L_{2}([c, d])}+\left(\int_0^{d-c}\ {\left(w_2(g, r)\right)^2}{r^{-2\alpha-1}}
\,dr\right)^{1/2},
\end{equation}
where
\[
w_2(g, r)=\sup_{0\le h\le r}\left(\int_{c}^{d-h} \left|g(y+h)-g(y)\right|^2\,dy\right)^{1/2}
\]
(see~\cite{kamont}). For any $j\in \ensuremath{\mathbb{Z}}$ and all $n\ge 0$, put
\[
d_{kn}^{(j)}=j+k 2^{-n},\quad 0\le k\le 2^n,\quad \Delta_{kn}^{(j)}=\left(d_{(k-1)n}^{(j)}, d_{kn}^{(j)}\right],\quad
1\le k\le 2^n\, .
\]

The following lemma is a key tool for estimates of the stochastic integral.

\begin{lem}\label{lmessih} (Lemma~3 in~\cite{radt15})
Let $Z$ be an arbitrary set, and function $q(z,s):
Z\times [j, j+1]\to\ensuremath{\mathbb{R}}$ is such that all paths $q(z,\cdot)$ are continuous on $[j,j+1]$. Denote
$$
q_n(z,s)=q\big(z,j\big){\bf 1}_{\{j\}}(s)+\sum_{1\le k\le 2^n}q\big(z,{d}_{(k-1)n}^{(j)}\big){\bf 1}_{\Delta_{kn}^{(j)}}(s).
$$
Then the random function
$
\eta(z)=\int_{(j,j+1]}\,q(z, s)\,d\mu(s),\ z\in Z,
$
has a version
\begin{eqnarray*}
\widetilde{\eta}(z)=\int\limits_{(j,j+1]} \,q_0(z,s)\,d\mu(s
 +\sum_{n\ge 1}
\Bigl(\int\limits_{(j,j+1]} \,q_n(z,s)\,d\mu(s)-\int\limits_{(j,j+1]}\,q_{n-1}(z,s)\,d\mu(s)\Bigr)
\end{eqnarray*}
such that for all $\beta>0$, $\omega\in\Omega$, $z\in Z$
\begin{eqnarray}
|\widetilde{\eta}(z)|\le|q(z,j)\mu((j,j+1])|\nonumber\\
 + \Bigl\{\sum_{n\ge 1}2^{n\beta}
\sum_{1\le k\le 2^{n}}|q(z,d_{kn}^{(j)})-q(z,d_{(k-1)n}^{(j)})|^2\Bigr\}^{1/2}\nonumber\\
\times\Bigl\{\sum_{n\ge 1}2^{-n\beta}\sum_{1\le k\le 2^{n}}|\mu(\Delta_{kn}^{(j)})|^2
\Bigr\}^{1/2}.\label{eqesqm}
\end{eqnarray}
\end{lem}
Theorem~1.1 of~\cite{kamont} implies that for $\alpha=(\beta+1)/2$,
\begin{equation}\label{eqesbs}
 \Bigl\{\sum_{n\ge 1}2^{n\beta}
\sum_{1\le k\le 2^{n}}|q(z,d_{kn})-q(z,d_{(k-1)n})|^2\Bigr\}^{1/2}\le C \|q(z, \cdot)\|_{B^\alpha_{22}([j, j+1])}.
\end{equation}

\section{The problem}\label{scprob}

Consider the heat equation~(\ref{eqhshf}) in the following mild sense
\begin{eqnarray}
\label{eqhsife} u_{\varepsilon}(t, x)=\int_{\ensuremath{\mathbb{R}}}{p}(t, x-y)u_0(y)\,dy\nonumber\\
+\int_0^t ds \int_{\ensuremath{\mathbb{R}}}{p}(t-s, x-y)f(y, u_{\varepsilon}(s, y))\,dy\nonumber\\
+\int_{\ensuremath{\mathbb{R}}} d\mu(y) \int_0^t {p}(t-s, x-y)\sigma(s / \varepsilon, y)\,ds\, .
\end{eqnarray}

Here ${p}(t,  x) = (2\sqrt{\pi t})^{-1}\, e^{-\frac{x^2}{4t}}$
is the Gaussian heat kernel, $u_{\varepsilon}(t, x)=u_{\varepsilon}(t, x, \omega):[0, T]\times{\ensuremath{\mathbb{R}}}\times\Omega\to\ensuremath{\mathbb{R}}$ is an unknown measurable
random function, $\mu$ is a stochastic measure defined on Borel $\sigma-$algebra of $\ensuremath{\mathbb{R}}$. For each $(t,x)$ equation~(\ref{eqhsife}) holds a.~s.

We make the following assumptions throughout the paper.

\begin{ass}\label{ass1} $u_0(y)=u_0(y, \omega):{\ensuremath{\mathbb{R}}}\times\Omega\to\ensuremath{\mathbb{R}}$ is measurable and bounded,
\[
|u_0(y)|\le C(\omega),\quad \left|u_0(y_1)-u_0(y_2)\right|\le C(\omega)\left|y_1-y_2\right|^{\beta(u_0)},\quad \beta(u_0)\ge 1/6\, .
\]
\end{ass}

\begin{ass}\label{ass3} $f(y, z):{\ensuremath{\mathbb{R}}}^2\to\ensuremath{\mathbb{R}}$ is measurable, bounded, and
\[
\left|f(y_1, z_1)-f(y_2, z_2)\right|\le L_f \left(\left|y_1-y_2\right| + \left|z_1-z_2\right|\right)\, .
\]
\end{ass}

\begin{ass}\label{ass5} $\sigma(s, y):{\ensuremath{\mathbb{R}}_+}\times{\ensuremath{\mathbb{R}}}\to\ensuremath{\mathbb{R}}$ is measurable, bounded, and
\[
\left|\sigma(s, y_1)-\sigma(s, y_2)\right|\le L_{\sigma}\left|y_1-y_2\right|^{\beta(\sigma)},\quad 1/2<\beta(\sigma)<1.
\]
\end{ass}

\begin{ass}\label{ass6}
$|y|^{\tau}$ is integrable w.r.t. $\mu$ on $\ensuremath{\mathbb{R}}$ for some $\tau>5/2$.
\end{ass}

Recall that for some $C,\ \lambda >0$
\begin{equation}\label{estpx}
\left|\frac{\partial p(t,x)}{\partial x}\right|\leq
\frac{C}{t}e^{-\frac{\lambda x^2}{t}}.
\end{equation}

Assume that there exist the following limit
\begin{equation}\label{eqbarf}
\bar{\sigma}(y)=\lim_{t\to\infty}\frac{1}{t}\int_0^t \sigma(s,y)\,ds.
\end{equation}
It is easy to see that $\bar{\sigma}(y)$ satisfies Assumption~A\ref{ass5}.

We will consider solution $\bar{u}$ to the equation
\begin{eqnarray}
\label{eqhsifb}
\bar{u}(t, x)=\int_{\ensuremath{\mathbb{R}}}{p}(t, x-y)u_0(y)\,dy+\int_0^t ds \int_{\ensuremath{\mathbb{R}}}{p}(t-s, x-y){f}(y, \bar{u}(s, y))\,dy\nonumber\\
+\int_{\ensuremath{\mathbb{R}}} d\mu(y) \int_0^t {p}(t-s, x-y)\bar{\sigma}(y)\,ds\, ,
\end{eqnarray}
that is a mild form of~(\ref{eqhshfav}).

Theorem of~\cite{rads09} and Assumptions A\ref{ass1}--A\ref{ass6} give that solutions of~(\ref{eqhsife}) and~(\ref{eqhsifb}) exist, are unique, and have continuous in $(t,x)$ versions.

We also impose the following additional condition.

\begin{ass}\label{ass8}
Function $G_{\sigma}(r,y)=\int_0^{r} (\sigma(s,y)-\bar{\sigma}(y))\,ds,\ r\in\ensuremath{\mathbb{R}}_+,\ y\in\ensuremath{\mathbb{R}}$
is bounded.
\end{ass}

This holds, for example, if $\sigma(s,y)$ is periodic in $s$ for each fixed $y$, and the set of values of minimal periods is bounded.

\section{Averaging principle}\label{scaver}

\begin{lem}\label{lmpers}
Let $h(r, y)$ and $\bar{h}(y)$ be measurable and functions
\begin{eqnarray*}
H(r,y)=h(r, y)-\bar{h}(y),\ G(r,y)=\int_0^{r} (h(v, y)-\bar{h}(y))dv,\
r\in\ensuremath{\mathbb{R}}_+,\ y\in\ensuremath{\mathbb{R}}^d
\end{eqnarray*}
are bounded. Then
$$
\sup_{y\in\ensuremath{\mathbb{R}}^d,D>0,\varepsilon>0,t\in (0,T]}\Bigl|\frac{1}{\sqrt{\varepsilon}}\int_0^t \frac{e^{-\frac{D}{t-s}}}{\sqrt{t-s}}\,(h(s/\varepsilon,
y)-\bar{h}(y))\,ds\Bigr|<+\infty.
$$
\end{lem}

\begin{proof} Using the substitution $v=(t-s)/\varepsilon$, we obtain
\begin{eqnarray*}
\int_0^t \frac{e^{-\frac{D}{t-s}}}{\sqrt{t-s}}\left({h}(s/\varepsilon, y)-\bar{h}(y)\right)\,ds
{=}
\sqrt{\varepsilon}\int_0^{t/\varepsilon}
\frac{e^{-\frac{D}{v\varepsilon}}}{\sqrt{v}}\,(h(t/\varepsilon-v, y)-\bar{h}(y))\,dv.
\end{eqnarray*}
Let $|h(r, y)-\bar{h}(y)|\le C_h$, and  we denote
\[
F_{\varepsilon}(r)=\int_0^{r} (h(t/\varepsilon-v, y)-\bar{h}(y))\,dv,\quad 0\le r\le t/\varepsilon.
\]
Then $F_{\varepsilon}(r)$ is bounded, $|F_{\varepsilon}(r)|\le C_F$, $C_F$ does not depend of~$\varepsilon$. We have
\begin{eqnarray*}
\Bigl|\int_0^{1}\frac{e^{-\frac{D}{v\varepsilon}}}{\sqrt{v}}\,(h(t/\varepsilon-v, y)-\bar{h}(y))\,dv\Bigr|\le C_h\int_0^{1}\frac{dv}{\sqrt{v}}=C,\\
\Bigl|\int_1^{t/\varepsilon}
\frac{e^{-\frac{D}{v\varepsilon}}}{\sqrt{v}}\,(h(t/\varepsilon-v, y)-\bar{h}(y))\,dv\Bigr|=\Bigl|\int_1^{t/\varepsilon}
\frac{e^{-\frac{D}{v\varepsilon}}}{\sqrt{v}}\,dF_{\varepsilon}(v)\Bigr|\\
=\Bigl|\frac{e^{-\frac{D}{v\varepsilon}}}{\sqrt{v}}F_{\varepsilon}(v)\Bigr|_1^{t/\varepsilon}
-\int_1^{t/\varepsilon}F_{\varepsilon}(v)\Bigl(\frac{De^{-\frac{D}{v\varepsilon}}}{\varepsilon\sqrt{v^{5}}}-
\frac{e^{-\frac{D}{v\varepsilon}}}{2\sqrt{v^{3}}}\Bigr)\,dv\Bigr|\\
\le 2C_F+C_F\int_1^{t/\varepsilon}\frac{De^{-\frac{D}{v\varepsilon}}}{\varepsilon\sqrt{v^{5}}}\,dv+C_F\int_1^{t/\varepsilon} \frac{1}{2\sqrt{v^{3}}}\,dv \stackrel{(*)}{\le}C,
\end{eqnarray*}
where in (*) we used that $\max_{D>0} De^{-\frac{D}{v\varepsilon}}={v\varepsilon}e^{-1}$.
\end{proof}

Note that function $H_{\sigma}(r,y)=\sigma(r,y)-\bar{\sigma}(y),\ r\in\ensuremath{\mathbb{R}}_+,\ y\in\ensuremath{\mathbb{R}}$
is bounded, as follows from A\ref{ass5}. The main result of our paper is the following.

\begin{thm} Assume than Assumptions A\ref{ass1}--A\ref{ass8} hold. Then there exist versions of  $u_{\varepsilon}$ and $\bar{u}$ such that for any $\gamma_1<\frac{1}{2}\Bigl(1-\frac{1}{2\beta(\sigma)}\Bigr)$
$$
\sup_{\varepsilon>0,t\in [0,T],x\in\ensuremath{\mathbb{R}}} \varepsilon^{-\gamma_1}|u_{\varepsilon}(t, x)-\bar{u}(t, x)|<+\infty\ a.~s.
$$
\end{thm}

\begin{proof}
We take the versions of stochastic integrals defined by Lemma~\ref{lmessih} and continuous versions of $u_{\varepsilon}$ and $\bar{u}$.

\textbf{Step 1.} First, we estimate
\begin{eqnarray*}
\xi_{\varepsilon}=\int_{\ensuremath{\mathbb{R}}} d\mu(y) \int_0^t {p}(t-s, x-y)\sigma(s/\varepsilon, y)ds \\
- \int_{\ensuremath{\mathbb{R}}} d\mu(y) \int_0^t {p}(t-s, x-y)\bar{\sigma}(y)ds.
\end{eqnarray*}
We will show that
\begin{equation}\label{eqesxi}
|{\xi_\varepsilon}|\le C(\omega){\varepsilon}^{\gamma_1}\ \textrm{a.~s.}
\end{equation}

For fixed $z=(t,x)$ denote
$$
g(z,y)=\int_0^t {p}(t-s,x-y)(\sigma(s/\varepsilon, y)-\bar{\sigma}(y))\,ds.
$$
Thus,
\begin{equation}\label{eqxiva}
\xi_{\varepsilon}=\int_{\ensuremath{\mathbb{R}}} g(z,y)\,d\mu(y)=\sum_{j\in\ensuremath{\mathbb{Z}}}\int_{(j, j+1]} g(z,y)\,d\mu(y),
\end{equation}
and we will estimate $\int_{(j, j+1]} g(z,y)\,d\mu(y)$ using the Besov space norm, inequality~(\ref{eqesbs}), and Lemma~\ref{lmessih}. Consider
\begin{eqnarray*}
g(z,y+h)-g(z,y)\\
 =C\int_0^t \frac{e^{-\frac{|x-y|^2}{4(t-s)}}}{\sqrt{t-s}}(\sigma(s/\varepsilon,
y+h)-\sigma(s/\varepsilon, y)-\bar{\sigma}(y+h)+\bar{\sigma}(y))\,ds\\
+ C\int_0^t \frac{\sigma(s/\varepsilon, y+h)-\bar{\sigma}(y+h)}{\sqrt{t-s}}(e^{-\frac{|x-y-h|^2}{4(t-s)}}-
e^{-\frac{|x-y|^2}{4(t-s)}})\,ds
=: I_1+I_2 .
\end{eqnarray*}
We have
\begin{eqnarray*}
\int_0^t \frac{e^{-\frac{|x-y|^2}{4(t-s)}}}{\sqrt{t-s}}(\sigma(s/\varepsilon,
y+h)-\sigma(s/\varepsilon, y))\,d
\stackrel{{A\ref{ass5}}}{\le} L_{\sigma}h^{\beta(\sigma)}\int_0^t \frac{ds}{\sqrt{t-s}}=C h^{\beta(\sigma)}.
\end{eqnarray*}
By similar way we estimate terms with $\bar{\sigma}$ and obtain that $|I_1|\le C h^{\beta(\sigma)}$.

Note that for any $b>0$
\begin{equation}
\int_0^t\frac{1}{v} e^{-\frac{b}{v}} dv \stackrel{z=b/v}{=}\int_{b/t}^{\infty}\frac{e^{-z}}{z}dz
\le \int_{b/t}^1\frac{dz}{z}+\int_1^{\infty} e^{-z}dz
\le \left|\ln{\frac{T}{b}}\right|+1.\label{eqestr}
\end{equation}

Further, for $|x-y|\le 2$ we have
\begin{eqnarray*}
|I_2|\stackrel{{A\ref{ass5}}}{\le} C \int_0^t \frac{|e^{-\frac{|x-y-h|^2}{4(t-s)}}-
e^{-\frac{|x-y|^2}{4(t-s)}}|}{\sqrt{t-s}}\,d
=C\int_0^t ds \Bigl|\int_{x-y-h}^{x-y}\frac{\partial p(t-s,r)}{\partial r}\,dr\Bigr|\\
\stackrel{(\ref{estpx})}{\le} C \int_0^t ds \int_{x-y-h}^{x-y}\frac{e^{-\frac{\lambda r^2}{t-s}}}{t-s}dr
\stackrel{v=t-s}{=} C \int_{x-y-h}^{x-y}dr \int_0^t \frac{e^{-\frac{\lambda r^2}{v}}}{v}dv\\
\stackrel{(\ref{eqestr})}{\le}
C\int_{x-y-h}^{x-y}\left(\left|\ln{\frac{T}{\lambda r^2}}\right|
+1\right)dr
\stackrel{|x-y|\le 2}{\le} C|h\ln h|.
\end{eqnarray*}
If $|x-y|> 2$ then $|x-y-h|> 1$, and
$$
|I_2|{\le} C \int_0^t ds \int_{x-y-h}^{x-y}\frac{e^{-\frac{\lambda r^2}{t-s}}}{t-s}dr\stackrel{r\ge 1}{\le} Ch.
$$
In both cases, $|I_2|\le Ch^{\beta(\sigma)}$ (recall that $\beta(\sigma)<1$). We arrive at
\begin{equation}\label{est2}
(w_2(g,r))^2\leq 2\sup\limits_{0\leq h\leq r}\int_{j}^{j+1-h}I_1^2dy+
2\sup\limits_{0\leq h\leq r}\int_{j}^{j+1-h}I_2^2dy\le Cr^{2\beta(\sigma)}.
\end{equation}

Also, we need to estimate $w_2(g,r)$ using the value of~$\varepsilon$.
From A\ref{ass5}, A\ref{ass8}, and Lemma~\ref{lmpers} it follows that
\begin{equation}\label{eqggce}
|g(z,y+h)|+|g(z,y)|\le C\sqrt{\varepsilon}.
\end{equation}
Therefore
\begin{equation}\label{est3}
(w_2(g,r))^2\le C\varepsilon.
\end{equation}

Multiply (\ref{est2}) in power $1-\theta$ and (\ref{est3})
in power $\theta$ for some $0<\theta<1$, and obtain
$
 (w_2(g,r))^2\leq Cr^{2\beta(\sigma)(1-\theta)}\varepsilon^{\theta}.
$
For finiteness of integral in (\ref{eqbssn}) we need
$$
2\beta(\sigma)(1-\theta)>2\alpha \Leftrightarrow \beta(\sigma)\theta<\beta(\sigma)-\alpha.
$$
For  $\alpha\rightarrow1/2+$, we get
$\theta\rightarrow \Bigl(1-\frac{1}{2\beta(\sigma)}\Bigr)-$.

We have $\gamma_1< 1/2$, therefore from (\ref{eqggce}) we obtain
\[
 |g(z,j)|\leq C\varepsilon^{\gamma_1},\qquad
 \|g(z,\cdot)\|_{L_2([j,j+1])}\leq C\varepsilon^{\gamma_1}.
\]

Thus, for any $\gamma_1<\frac{1}{2}\Bigl(1-\frac{1}{2\beta(\sigma)}\Bigr)$ exists $\alpha>1/2$ such that
\[
 \|g(z,\cdot)\|_{B_{22}^\alpha([j,j+1])}\leq C \varepsilon^{\gamma_1}.
\]

Using (\ref{eqxiva}), (\ref{eqesqm}), (\ref{eqesbs}), and the Cauchy--Schwarz inequality, get
\begin{eqnarray*}
 |\xi_{\varepsilon}|
\le \sum_{j\in\ensuremath{\mathbb{Z}}}\left|\int_{(j, j+1]} g(z,y)\,d\mu(y)\right|
 \leq\sum_{j\in\ensuremath{\mathbb{Z}}} \left|g(z,j)\mu\left((j, j+1]\right)\right|\\
+ C \sum_{j\in\ensuremath{\mathbb{Z}}} \left\|g(z,\cdot)\right\|_{B^\alpha_{22}\left([j, j+1]\right)}
\left\{\sum_{n\ge 1}2^{n(1-2\alpha)}
\sum_{1\le k\le 2^{n}}\left|\mu\left(\Delta_{kn}^{(j)}\right)\right|^2 \right\}^{1/2}\\
\leq C \varepsilon^{\gamma_1}\left[\sum_{j\in\ensuremath{\mathbb{Z}}} \left|\mu\left((j, j+1]\right)\right|
+\sum_{j\in\ensuremath{\mathbb{Z}}} \left\{\sum_{n\ge 1}2^{n(1-2\alpha)}\sum_{1\le k\le 2^{n}}
\left|\mu\left(\Delta_{kn}^{(j)}\right)\right|^2 \right\}^{1/2}\right] \\
\leq C \varepsilon^{\gamma_1}
\left[ \left(\sum_{j\in\mathbb{Z}}(|j|+1)^{\rho}\left(\mu\left((j, j+1]\right)\right)^2
\right)^{1/2}\left(\sum_{j\in\mathbb{Z}}(|j|+1)^{-\rho}\right)^{1/2}
\right.\\
+\left. \left(\sum_{j\in\ensuremath{\mathbb{Z}}}\sum_{n\ge 1} \sum_{1\le k\le 2^n}
(|j|+1)^{\rho} 2^{n(1-2\alpha)}
\left|\mu\left({\Delta_{kn}^{(j)}}\right)\right|^2\right)^{1/2}
\left(\sum_{j\in\mathbb{Z}}(|j|+1)^{-\rho}\right)^{1/2}\right].
\end{eqnarray*}

For all $\rho>1$ we have $\sum_{j\in\mathbb{Z}}(|j|+1)^{-\rho}<+\infty$, and sum with stochastic integrals are
 $\sum_{l=1}^{\infty}\left(\int_{\sf x} \phi_l\,d\mu \right)^2$, where
\begin{eqnarray*}
\left\{\phi_l (y),\ l\geq 1\right\}= \left\{\left(|j|+1\right)^{\rho/2}\, {\bf 1}_{(j, j+1]}(y),\
j\in \ensuremath{\mathbb{Z}}\right\},\\
\left\{\phi_l (y), l\ge 1\right\}= \Bigl\{\left(|j|+1\right)^{\rho/2}2^{n(1-2\alpha)/2}
{\bf 1}_{\Delta_{kn}^{(j)}}(y),j\in \ensuremath{\mathbb{Z}}, n\ge 1,
 1\le k\le 2^{n}\Bigr\}.
\end{eqnarray*}
From $\sum_{l=1}^\infty|\phi_l(y)|\le C(|y|^{\tau}+1)$
for $\tau=\rho/2$, using integrability of $|y|^\tau$, by Lemma~\ref{lmfkmu}
we arrive at~(\ref{eqesxi}).

\textbf{Step 2.} Using Step~1, A\ref{ass3}, and equality $\int_{\ensuremath{\mathbb{R}}}{p}(s, y)\,dy=1$, obtain
\begin{eqnarray*}
|u_{\varepsilon}(t, x)- \bar{u}(t, x)|\\
\le \Bigl|\int_0^t ds \int_{\ensuremath{\mathbb{R}}}{p}(t-s, x-y)(f(y,
u_{\varepsilon}(s, y))-f(y, \bar{u}(s, y)))\,dy\Bigr|
+ C(\omega) {\varepsilon}^{\gamma_1}\\
{\le} L_f \int_0^t ds \int_{\ensuremath{\mathbb{R}}}{p}(t-s, x-y)|u_{\varepsilon}(s, y)-\bar{u}(s,
y)|\,dy+ C(\omega) {\varepsilon}^{\gamma_1}\\
\le  L_f \int_0^t\sup_{y\in\ensuremath{\mathbb{R}}}|u_{\varepsilon}(s, y)-\bar{u}(s, y)|  ds \int_{\ensuremath{\mathbb{R}}}{p}(t-s, x-y)\,dy+ C(\omega) {\varepsilon}^{\gamma_1}\\
=L_f \int_0^t\sup_{y\in\ensuremath{\mathbb{R}}}|u_{\varepsilon}(s, y)-\bar{u}(s, y)| \,ds+ C(\omega) {\varepsilon}^{\gamma_1}.
\end{eqnarray*}

Thus, we get
\[
\sup_{x\in\ensuremath{\mathbb{R}}}|u_{\varepsilon}(t, x)- \bar{u}(t, x)|\le L_f \int_0^t\sup_{y\in\ensuremath{\mathbb{R}}}|u_{\varepsilon}(s, y)-\bar{u}(s, y)| \,ds+C(\omega){\varepsilon}^{\gamma_1}.
\]
By Gronwall's inequality we obtain
$
\sup_{x\in\ensuremath{\mathbb{R}}}|u_{\varepsilon}(t, x)- \bar{u}(t, x)|\le C(\omega){\varepsilon}^{\gamma_1},
$
that finishes the proof. \end{proof}

\textbf{Remark.} It was assumed that $\beta(\sigma)>\frac{1}{2}$, therefore we can choose $\gamma_1>0$. For smooth $\sigma$ we can take any $\gamma_1<\frac{1}{4}$. The order of convergence equal to $\frac{1}{4}$ was obtained in~\cite{peip17} for the system driven by Brownian motion and Poisson random measure. Convergence rate equal to $\frac{1}{2}-$ was achieved in \cite{breh12} and \cite{wang12} for systems driven by Brownian motions only.

\section*{Acknowledgments}

This work was supported by Alexander von Humboldt Foundation, grant 1074615.
The author is grateful to Prof. M.~Z\"{a}hle for fruitful discussions during the preparation of this paper and thanks the Friedrich-Schiller-University of Jena for its hospitality.

redpajama_set_name: RedPajamaArXiv


Don Millar is one of Australia's most well-known and respected professional Muay Thai kickboxing trainers, Don was nominated for the 2013 Australian Muay Thai awards for trainer of the year. He is a former Australian Champion, trained in Thailand, who always goes out of his way to propel the Australian Muay Thai scene forward.
His current team of fighters consist of Australian and Victorian Champions who have fought internationally in Thailand, Japan, Singapore, Canada and New Zealand. Don sends his most dedicated fighters to train in Thailand every year with Muay Thai kickboxing legend Sangtiennoi, 'The Deadly Kisser', at Pathumthani just out of Bangkok. Don is registered with the World Muay Thai Council, and is also a certified Muay Thai Judge and Official.
Our Thailand based 57-60kg Professional fighter.
Sam Bark ( Sammon Decker ) is a world famous fighter who lived full time in Thailand for 3 years and has fought for me many times in Australia.
UK fighter / trainer based at SFG, takes ladies morning class and PT's.
Tiff Lam is Victoria's No.1 57-60kg fighter and also a trainer at SFG available for group or single PT's male and female and kids PT's.
Working fitness and technical skill as well as authentic Muay Thai style. Great for beginners to advance level.
Working basic all the way up to future champions.
Class for those at competent level with pad work / clinching and good fitness.
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text:
A Modern St. Patrick's Day Dinner with Cathal Armstrong
The Restaurant Eve chef updates traditional Irish dishes for an elegant holiday feast
By Lauren Salkeld
‹ previous | intro
For a sweet finish to his St. Patrick's Day feast, Armstrong recalled one of his favorite childhood treats, his mother's Bakewell Tart. Different versions of this classic English dessert exist, but the Armstrong Irish rendition features a flaky puff-pastry base, jam filling, and a moist cakelike top layer. "It's cake and pie," says Armstrong. "I mean, how can you go wrong?"
Armstrong's recipe, an update on his mother's, calls for a "quick puff," which is just a simplified take on traditional French puff pastry. The trick, Armstrong explains, is a "light, delicate touch." With practice, you'll get a feel for how much water to use and how to work with the pastry. In the meantime, prepared puff pastry from the supermarket freezer, or even your favorite pie dough, can be used. Feel free to play around with the filling, personalizing the tart with your favorite jam or preserves. According to Armstrong, just about anything works—even lemon curd.
‹ previous: roasted cauliflower


t*rexes and tiaras: Sunday Shoes 148..
Well, it's been a little while since my last one of these posts, hasn't it?! And here's the stack of boxes I'm yet to open up, take photos and share, let alone wear.. most of these were the result of a combination of the IC "Rainbow Week" (their version of Black Friday) and a discount code which I'd been sent which was almost due to expire. I've been dipping in and out of the site lately and whilst the big releases such as the Muppets and the new Santa heels didn't take my fancy, I honed the list of new styles which I'd been wanting to add to my collection.
In actual fact, the first pair to share actually came to me via eBay - a cheeky "best offer" which was actually accepted. When they arrived, I realised they were in even better condition than I'd been expecting, which was a lovely surprise. They don't look to have been worn before.
The style is called Heel the World and are a beautiful blue and white gingham with tiny flowers in the fabric, too. They have two bows at the front to tie the two sets of straps and a contrasting candy striped heel. Super, super cute. I'm dreaming of summer picnics to wear them, I think.
Oh pretty - gingham and daisies, lovely!


Not really! Apar of Random Ruminations tagged me yet again 🙂 This time though it was a tag I loved doing. As you can see from the very nature of my blog, I love sharing. My personal life, my hurts, my successes and occasionally pictures.
The rule of this tag is to publish an old (10 years old or more) candid picture of you. I am bending the rule some simply because I do not have any candid pictures of myself. All the pictures I have are posed. 😦 I have plenty of candid pics of my family, friends specially since I am click happy with a camera in hand. After much thought I decided to pick this one.
I love this picture not only because it is natural. I am posing yes but in the shy awkward way only a child can. I remember the day this was taken. In 1984. I was in middle school I think or just starting middle school. I was at my maternal grandma's home on the occasion of my Uncle's visit. He was the only one we knew who had a camera and wanted to take a picture of his then favorite niece. I had woken up but no where near picture ready. My mom hurriedly put a spot of kumkumam on my forehead and tied a black ribbon around my waist since the dress was way too big for me. I remember posing happily that mama wanted a picture of me.
In the background barely noticeable is my maternal great grand father in the picture and the pillar that is the hallmark of a home in an agraharam. This photo represents to me all the nostalgia and happiness that childhood represents. By sharing this, I am sharing a very sacred part of my life.
I am tagging no one in particular since I know many of them are wary of uploading personal pictures online. However, if you do decide to post a picture of you ten years or older, do leave a comment and I would LOVE to check it out.
Very natural photo, loved your description on the history of the picture.
Beautiful picture Laksh, brimming with innocence 🙂 The black ribbon fits so naturally with the dress.
Cute pic Laksh. Definitely brings out the innocence as a child. I can so much relate to the happy memories that flood one's thoughts when seeing a old photo. As Suman says, the black ribbon goes very well with the dress.
Mom's designer touch with the black ribbon really worked.thanks for sharing the pic, story and the innocence of the childhood. It's not all lost; your face did not change much from then!
Remember seeing this picture during one of those late night sessions in our first shared room – the first thought then that came to my mind was "a pretty frock and you haven't changed much" and that is what I thought this morn when I looked at this picture.
I am totally confused!! I posted the previous comment using my credentials as "Naan", however the previous comment of me, points to a different blog address. Do you know why?
awwwwwww!! you really haven't changed much since then!
Yes very candid and beautiful blog and picture. I read your blogs regularly and like them but never commented on one. But this blog tops them all. Kudos, you express yourself so well!
Beautiful pic and the only change that I find in your pics if I compare is the big smile that is missing in this shy little girl snap. Love the post too.
@Mitr: Thank you. This photo is special to me.
@naan: Thank you! Old photos have a charm much like the eastman color movies.
@Akay: Thank you! Thank you!
@naan: Fixed your link. Not sure how it got changed.
@Shalu: I look at your pict at my wedding and your recent ones and go awwww!
@sl: Thanks for writing in. I am touched. Thank you again.
@Rupa: The word "frock" itself brings back so much memories.
@Abi: Thank you. Nice to retain something of our childhood in us right?


text:
Indian Fashion Model Land a Successful Career in The Film Industry
Abhijit Singh
Fashion industry has been termed as the most booming sector in this world. So many people use to opt for the fashion industry so that they can draw reputation and money. More of all it's the shine of the fashion industry seems to be the most important factors that are exactly drawing most attention for this business. It's the glamorous world that is now drawing people from every part of the world.
Several new fashion designers are moving for this trend in order to gain a foothold in this market. At the same time the competition level in this market is also high. So, if you want to become a fashion model, then you need to get prepared for the whole business with a better approach.
If you are trying to join the Indian fashion segment, then things can become really tough for you. There are so many Indian fashion models available in this segment and these people have already managed to collect many responses due to their unique style, physique and the dressing category. It's the colorful world where success seems to be really tough to achieve. But if someone will follow the strict rules and will remain flexible with his or her approach for the fashion industry, then things can become bit easier.
There are so many Indian actors who have started their career as an Indian fashion model and now they have moved for the Bollywood to try their hand in the acting field. Most of the Indian actors are having a good physique and loaded with a great sense of humor. Some of them are:
Rahul Bose
Dino Morio
These people are not only loaded with a unique style and physique but also they have managed to collect the real tricks of acting for their account and that seems to be drawing more success for them. Garments were sold at the unbelievable prices because designers had decided getting themselves noticed just by making the showy outfits & getting linked with right shows, celebrities as well as events. Later, the Indian fashion shows shifted to the competitive events and attempting out do other in the theme, the guest list as well as media coverage.
For newcomer, fashion business was number one art that time. And for global fashion industry, India is big exporter of the fabrics & accessories. And all across the world, the Indian ethnic designs & materials are considered as the significant facet for fashion houses & garment makers. In the fabrics, when sourcing for the fashion wear, India plays important role as the biggest players in international fashion arena.
India has been considered as the default source in embroidered garment segment, however changes of rupee with dollar has decreased prices, and thus attracting buyers. So international fashion walk away with the customized stuff, also in an end crafted works are then sold at a cheap rate.Indian kalakar is platform for indian actors,singers,indian fashion models and singer.Create your profile of indian fashion model and join our community of artists and singers. – SooperArticles
This author has not added a biography. Meanwhile Abhijit Singh has contributed 287 posts.	Click here	to view them.
Interview with Designer Teena By Hina Butt
Why did you take up fashion designing? I always wanted to open my own fashi
TAURUS Collection by Designers Dhruv and Pallavi
MONOCHROME casts off its Sixties connotations for good, as designers Dhruv
Krishna Mehta Bridal Collection at Lakme Fashion Week W/F 2015
This evening, Krishna Mehta showcased her Winter/Festive 2015 Bridal Coutur
Awesome Mora Mahiya Video Song from Calendar Girls
A fresh track from Madhur Bhandarkar's upcoming video, 'Calendar Girl�
10 Facts Know Learn About Neeru Bajwa
1) Neeru Bajwa was created 26 August 1980. She was raised in Vancouver, Bri
Veera Ek Veer Ki Ardaas
Upcoming Bollywood Movies in May 2013


Lisboa polyloom ice has subtle bright colors, timeless design en great comfort. Choose your favorite garden chairs and combine them with one of the 4 Seasons Outdoor garden tables.
Aluminium frame or Teak frame, Hularo wicker. Download our free app and try which Lisboa dining set fits your garden best!


text:
The History of Canterbury Castle
January 1, 2022 Luke Franklin English Castles Leave a comment
Location Canterbury, Kent, England (Google Maps)
Open for Visitors Yes
Owned by Canterbury City Council
Official Website No
Rooms Available No
Built in the Norman Style of architecture, Canterbury Castle was constructed in the 11th century in the southwest quarter of the city. The castle is a five-minute walk from the Canterbury East Station and is a beautiful destination to spend your mornings.
3 Movie Features
4.1 Why is Canterbury Castle closed?
4.2 Why was Canterbury castle built?
4.3 How far is Leeds Castle from Canterbury?
4.4 You Might Also Be Interested In
4.5 Nearby Castles
Canterbury Castle was fortified by the Romans in the 3rd century AD. In the 1060s, the Normans built a motte-bailey fortification, and the walls of the castle that we see today were still there. In the late eleventh century, an actual castle replaced this structure, and the town walls were rebuilt in the fourteenth century. In total, there were three castles built, out of which the present one is known as Canterbury castle. The other two are Rochester Castle and Dover Castle. These three were the original royal castles of Kent. This castle was built right after the Battle of Hastings when Canterbury submitted to William the Conqueror in October 1066. This is why these castles were built in motte-bailey fortification style to guard the critical route.
"Canterbury – Castle02", by Whn64, is licensed under CC BY-SA 3.0
Much of the castle isn't left because a substantial part has been destroyed. What's left is just a tiny section of the town wall. The walls act as an essential feature of the castle because they tell the story of the arrival of William the Conqueror. In the fourteenth century, when the threat of invasion by France remained, more walls were built to protect the castle. Many bastions were constructed along with the walls wherein a few of the gun ports are still visible.
A good amount of stone front keep of the castle has been taken away for reuse elsewhere so that the inner rubble core is visible. The orders for repairs were passed in 1170 when the first repairs of the castle were carried out. Investigations reveal a specific first floor of the castle that was destroyed due to its damage during this time. The castle was besieged twice, once by the Dauphin Louis and then by Wat Tyler and his followers that led the castle prisoners free in the supposed rebellion. By the 17th century, the castle had already fallen into ruins. Later in the 19th century, the castle was also used as a storage facility by the Canterbury Gas Light and Coke Company.
The Canterbury City Council purchased the castle in 1928 and restored it to its current condition.
Castles: Britain's Fortified History (2014)- Canterbury Castle was featured in the first episode titled "Instruments of Invasion" of the series.
Why is Canterbury Castle closed?
Established in County Kent, Canterbury Castle is currently closed due to the falling masonry of the castle. The Canterbury City Council decided to shut down the castle due to health and safety fears. The castle is also a sparkling jewel in Canterbury's heritage crown.
Why was Canterbury castle built?
The route of the castle was essential for William the conqueror. The castle was built for protection purposes, mainly to guard the vital route.
How far is Leeds Castle from Canterbury?
There are four ways to reach Leeds Castle from Canterbury, which is by rail, bus, or simply a drive to the castle. You can catch a train from Canterbury West to Hollingbourne and walk for approximately 32 minutes to reach the castle. You can also take a bus from Canterbury Bus Station, get off at Maidstone, King Street, take a bus from there and reach Hollingbourne, Broomfield Turning, walk for 12 minutes and reach Leeds castle. You can also drive for 30 minutes to get to the castle.
"Canterbury Castle", by N Chadwick, is licensed under CC BY-SA 2.0
"Canterbury Castle Flintstones", by Gulielmus Bild, is licensed under CC BY-SA 2.0
"Interior of Canterbury Castle 2009", by Chris Brown, is licensed under CC BY 2.0
Have you visited this castle before? If yes, why not share some beautiful pictures with us!
You can email us your pictures of the castle at castrumtocastle@gmail.com. Please use the name of the castle in the subject line.
Also, don't forget to mention your name and social media profile link if you want the credits!
The History of Vaduz Castle
LocationVaduz, Liechtenstein (Google Map Location)Owner of Vaduz CastlePrincely family of LiechtensteinVisitors AllowedNo Vaduz Castle is…
The History of Inverallochy Castle
Inverallochy Castle is a lovely ruin situated near the village of Inverallochy in the Buchan…
The History of Rose Castle
Rose Castle is a stunning 16,244 square feet (1,509.1 m2) fortified house. It is situated in Cumbria,…
The Loveliest Castle in The World – Leeds Castle The History of Deal Castle
CanterburyKent
Previous Post: The History of Deal Castle
Next Post: The History of Donnington Castle


text:
fig:
	rlwrap lein figwheel

# packager in another terminal:

packager:
	react-native start

# then launch the app using Xcode.

redpajama_set_name: RedPajamaGithub


We will have two seminars in April: CPI Church Planting NEXT STEPS Seminar on April 12th ~ 13th and Private World (Ministry and Private Life) on April 24th ~ 25th. Both seminars will be held at Ochanomizu Church of Christ 7F Conference Room and are bi-lingual.
Global Church Planting Network – East Asia Regional Network – 2017 Regional Meeting will be held at Kansai Bible Institute, Ikoma, on September 26-28th.
2017 CPI National Conference Oct. 25-27th Pre-Conference October 24-25th Join us for a great lineup of main speakers like Joshua Harris, Robert Greene, Akira Mori, Makoto Fukuda and Carlton Walker. Seita Sakaguchi will again lead Worship. See Registration and our web site for more details. Please also enjoy the variety of 23 practical equipping seminars.
We have Saturate Japan one day training in Japanese in April 8th, Four Fields Four Day Intensive in April 20th to 23rd, and T4T/Four Fields Mid-Level Training in April 17th to 18th.


text:
import * as React from "react";

import { cssValue } from "./helpers/unitConverter";
import { LoaderHeightWidthRadiusProps } from "./helpers/props";
import { createAnimation } from "./helpers/animation";

const scale = createAnimation(
  "ScaleLoader",
  "0% {transform: scaley(1.0)} 50% {transform: scaley(0.4)} 100% {transform: scaley(1.0)}",
  "scale"
);

function ScaleLoader({
  loading = true,
  color = "#000000",
  speedMultiplier = 1,
  cssOverride = {},
  height = 35,
  width = 4,
  radius = 2,
  margin = 2,
  ...additionalprops
}: LoaderHeightWidthRadiusProps): JSX.Element | null {
  const wrapper: React.CSSProperties = {
    display: "inherit",
    ...cssOverride,
  };

  const style = (i: number): React.CSSProperties => {
    return {
      backgroundColor: color,
      width: cssValue(width),
      height: cssValue(height),
      margin: cssValue(margin),
      borderRadius: cssValue(radius),
      display: "inline-block",
      animation: `${scale} ${1 / speedMultiplier}s ${i * 0.1}s infinite cubic-bezier(0.2, 0.68, 0.18, 1.08)`,
      animationFillMode: "both",
    };
  };

  if (!loading) {
    return null;
  }

  return (

  );
}

export default ScaleLoader;


text:
Q: How to show MySQL results in a table format when I execute queries from a text file? At this moment if I execute my SQL script file from terminal the output like below (Output 1):
mysql> sudo mysql  < sql_command.sql
ID  LastName    FirstName   Age
3   islam   saiful  23
4   NULL    sytul   40
5   NULL    Jakir   40
9   NULL    manus   NULL
90  NULL    manus   NULL

However, my expected result is (Output 2):
mysql> select * from Persons;
+----+----------+-----------+------+
| ID | LastName | FirstName | Age  |
+----+----------+-----------+------+
|  3 | islam    | saiful    |   23 |
|  4 | NULL     | sytul     |   40 |
|  5 | NULL     | Jakir     |   40 |
|  9 | NULL     | manus     | NULL |
| 90 | NULL     | manus     | NULL |
+----+----------+-----------+------+

The first result does not show the rows and columns in the right position. Please see the last column field "Age". Its values do not appear under Age.
How can I achieve output2?

A: MySQL 8:
Add this command line option: --result-format=table
MySQL 5.7
Add this command line option: -t


A fantasy illustration done in my spare time.
The Cave Dragon started out as a Crude Zbrush model painted over in Photoshop.
Special thanks to my good friend Justin for providing his likeness for our soon to be snacked upon treasure hunter.


IS FEAR STOPPING YOU FROM ACHIEVING?
Most people fear coming to the gym for the first time.
A lot of people fear starting their weight/ fat loss journey because they're not confident about how to go about it. Unfortunately, this is the case, but we need to try and change this.
A saying that I have recently came across is this: "the cave you fear to enter holds the treasure you seek" and I couldn't have put it better myself.
Those things that you fear to do are obstacles in the way of you finding success. They are the obstacles that you NEED to remove, and unfortunately a lot of the time they can't be bypassed. You have to face them to find the true rewards.
I have experienced my own fears in my health and fitness journey and in my journey in the fitness industry. Facing these fears can be difficult but luckily for you there are people who can help. People who can shine a light and guide you through the cave. Make you feel comfortable in the gym, guiding you through your health and fitness journey, people like myself.
So how can we strive to suppress this feeling of fear?
No one joins the gym immediately knowing how to use every machine and what machines will help them to reach their end goal. There's nothing wrong with asking for advice and guidance with this- in fact it will probably be a huge benefit to you. As part of your membership with Lifestyle Fitness we offer a free gym induction and PT consultation. This is a great opportunity for us to find out what you want to achieve, create a gym plan for you, but also for you to ask us any queries you may have. Take advantage of this and you'll be ready to smash your goals.
Following on from this, stepping out of your comfort zone and trying machines that you wouldn't usually venture towards is a great step to overcoming gym fear. You may have been going to the gym for years and never stepped foot in the weights area. You never know, this may be the key step to overcoming any anxiety and feeling comfortable to carry on with your fitness.
It is true what they say, to overcome a fear you must tackle it head on. The more you go to the gym, the more confident and comfortable you will feel. Try pushing yourself to go that little bit more until you're eventually at a stage that you're comfortable with.
We always feel more confident when we have a friend by our side, so why not bring a friend along to try out the gym and help you to progress along the way. Having a friend can even help you to stay at the gym longer, so this is a bonus.
Fitness classes are a fun and social way of working out, but also to meet new gym goers who could help you in the future. There's a sense of 'safety in numbers' at a fitness class, plus being shown by an instructor how to exercise effectively means that even if you're not the most experienced, you'll know what you're doing.
Everyone is on their own fitness journey and has different goals that are probably different to yours. Focus on your own goals and you'll be the one celebrating when you achieve them!


text:
Q: Obtain float[] or int[] from BufferedImage I am trying to use the tone mapping code here. It has a function:
public void toneMap(final float[] image, final byte[] rgbOut) {
         for (int i = 0; i < image.length; i++) {
            final float clamped = Math.max(0, Math.min(1f, image[i]));
            rgbOut[i] = (byte) (0xFF & (short) (clamped * 255.0));
         }
      }

It takes in a float array and a byte array of images and clearly applies a simple clamping to the pixel values.
I tried:
int[]rbg=((DataBufferInt) image.getRaster().getDataBuffer()).getData();

But I got the following exception:
java.lang.ClassCastException: java.awt.image.DataBufferByte cannot be cast to java.awt.image.DataBufferInt

Other stackoverflow answers have clearly explained as to why it was so.
I have an image file want to apply this function to that file. I know that I can read the image into a BufferedImage using ImageIO.read(). But how do I get a float[] rgb from it?
Is it possible? Or are there any other libraries available which can help me do this conversion from image to a float[] rgb array of pixels?
EDIT:
As few people have mentioned in their comments that the code above would do nothing to the pixel values as they are in range of 0..255. But I want to apply above code to HDR images, like the .exr format image , which have an infinite range.


There was a particular type of soft Scandinavian Modernism that greatly appealed to British architects. It was a humanised, bricky style with gently pitched roofs and Protestant self-effacement. The Stockholm suburb of Årsta dates precisely from this movement. Designed in the years following the Second World War by architect brothers Erik and Tore Ahlsén, Årsta is a gentle, socially cohesive suburb on a rocky site built around a core of community structures. Johan Celsing's new church abuts one of these community buildings at the rocky edge of the settlement.
The existing buildings on the site exist from 1968 - and a slender campanile already stands in a kind of profane space, setting up a civic realm that has been patiently waiting for a church for decades. The new building is, in its way, every bit as Scandinavian as its neighbours yet also radically different from the gentle suburbanity of Swedish modernity. Instead, it is rooted in an offshoot of that style, something closer to the raw, elemental experience of the churches of Lewerentz or of Celsing's father, one of the great and relatively unsung 20th-century church architects, Peter Celsing.
The massing is blocky and severe, the volume clad in stark brown brick and capped in a layer of concrete, which also forms the head of the huge windows, suggesting that there must be something dramatic going on inside. The church may be entered either from the existing community centre or from its own western door - a tight lobby squeezed by a children's chapel to the right and a sacristy to the left. The space for worship is a generous more-or-less cube, 13m square by 10m high, a powerful, impressive volume.
Celsing explained to me that he had initially spent much effort attempting to create unseen light sources - to bring a spirit of numinosity through cleverly concealed illumination, but that he ultimately felt he was trying too hard and that this was, after all, a church and not an art gallery. Instead, the walls are given a classical tripartite sub-division with a 2.3m datum of glazed brick acting as a base and a 5m plane of limewashed render, which also accommodates the enormous windows capped by that in-situ cast concrete crown.
The base is characterised by a built-in glazed brick bench, which envelops the whole interior, creating a kind of skirting and a surface for candles. The glazed brick above this is perforated, producing an almost woven effect, a Semperian idea of wall as fabric and an evocation of the oldest notion of the church as a mobile tabernacle. That same idea is made deliberately visible elsewhere, in gestures that knit the liturgical furniture into the fabric of the architecture.
The limestone baptismal font is placed on the central axis and its round basin is pulled towards the western entrance (like a slipped fried egg) in a gesture of arrival emphasising the principal direction of the church. However, the stone font is also embedded into the floor, its base intricately woven into the brick in a complex tessellation. The starkly simple, almost clinical glazed brick altar is similarly bonded into the brick at its base. This means that when the church is being used for other activities than worship, the principal liturgical elements stay rooted in its physical fabric as reminders of the purpose of the building.
Conversely, the seating is loose and almost ephemeral. Celsing says he conceived the space in the spirit of a standing Orthodox congregation and consequently the building's sheer verticality, together with the almost anthropomorphic scale of the tall windows and the attenuated font, appear to lend themselves to a standing rather than a sitting position, as if sitting might be centrifugally pushed to the glazed brick benches.
After the rigorous cubic nature of the interior and a geometry defined by the critical humanising unit of the brick, the ceiling is a surprise. Deep cast concrete beams do not run orthogonally but are irregularly splayed. This introduces a discordant note, a hint that not everything may be as regular or as easy as the geometry below suggests. The depth of the beams also casts dark shadows on the perforated ceiling plane, creating a complex, mysterious crown from which hang delightfully simple white glazed light fittings, which the architect salvaged from the neighbouring community centre.
Celsing has clearly and deliberately eschewed making a big issue out of the junction between the existing and the new buildings. Both are enveloped in brick and there is a marginally more handmade quality to the construction of the new church. In making the church part of a larger community facility, he has been able to create a richer and more complex structure, which melds an existing and established pattern of use and familiarity with this more symbolic building. In this way, both the old and the new structures add meaning and depth to each other.
That this is a building for a Lutheran congregation is never in doubt. Sparse, elegant and pared-down (without being reductive), it is nevertheless clearly a building for a specific place and a specific community. The church both enriches and is enriched by a Swedish tradition of an austere, ineffably elegant architecture of contemplation and a blending of the humane and the existentially harsh. It comes as no surprise to learn that Celsing is currently working on the Woodland Cemetery, where Asplund and Lewerentz created the tradition in which he is so eloquently operating.


The Short Story: VCU women's lacrosse traveled to North Carolina to battle Davidson on Friday. Molly Barcikowski recorded her fourth hat-trick of the season in a 19-9 loss to the Wildcats.
Just over a minute into the contest, Barcikowski put the Rams on the board early, scoring the first goal of the game.
The Wildcats responded with five unanswered scores to take a 5-1 advantage.
Sky Hyatt ended the run with her first of two goals on the day.
Back-to-back scores from Blaire Langeler made it a one-goal game at 5-4.
The Wildcats responded wtih four-straight to add to their lead.
Hyatt's second score dug into the lead, but Davidson answered with two more.
Sofia Emond and Ryann Shaughnessy added second half scores.
Barcikowski found the net twice in the final minutes of the game to complete the hat-trick.
Chloe Mujwit scored less than two minutes into the contest to tie the game 1-1. Mujwit added two more goals for her first career hat trick.
Barcikowksi's hat-tick ties her with Hyatt for most on the team. The forward also picked up an assist and continues to be one of the best in the Atlantic 10 at setting up her teammates.
Hyatt's two goals pushes her over thirty on the season. Hyatt leads the Rams in goals and has scored in each game this season. The midfielder also won three draws, scooped two groundballs and caused a turnover.
Kelly O'Brien caused two turnovers and picked up two groundballs on defense.
VCU returns home to take on Goerge Washington in A-10 action on Sunday, April 17th. Game time is scheduled for noon.


King College Prep High School was one of several schools in eight different cities that performed in a virtual concert broadcasted around the world. The goal was to raise awareness about the importance of keeping music in school.
Backed by the jazz band, 18-year-old Khalil "Syncere" Lewis is center stage at the Bridging the Gap virtual concert. The massive screen was a window to eight different cities including Granada Hills, CA; Kent, WA and San Fernando, CA.
Music programs from each of the schools took turns performing.
"Since I'm an artist I write music as well so it helps me form metaphors and similes, everything correlates," said Lewis, a King College Prep student.
Chicago native and radio personality Shirley Strawberry hosted the virtual concert. She said students around the country are losing out on culture because of budget cuts.
"What I love about it is how happy these students are… I would hate to see the schools around the country lose it just because of funding," said Strawberry in an interview with FOX 32's Tisha Lewis.
Song writer and performer Jackson Browne made a surprise appearance at the Wednesday night event.
Principal David Narain said virtual instruction and concerts, like this one, help show the importance of arts education.
"There is lots of research that will show you that having students participate in fine arts and performing arts makes them a better student and well-rounded person but it's easier to cut than let's say math classes which is required," said Narain.
Chicago Public Schools said campuses without music education partner with organizations that provide instruction to students.
This example of virtual instruction is a public and private partnership with Cisco.
"Benjamin Washington has done an unbelievable job with this program, but think about being able to have Benjamin Washington at 100 high schools at Chicago Public Schools, right? And this technology allows you to do that," said Jerry Rocco with Cisco Chicago's Public Sector Relations.
This is the fourth year that Cisco's Bridging the Gap virtual concert has connected students at different schools nationwide.


text:
CAMBIO is a pop/rock band with
Antonio Guida as lead vocalist
Michele Cumar as bass guitar player and backing vocalist
Luca Valentino as guitar and keyboards player
The band was founded in Zurich at the beginning of 2007 by Antonio Guida. Lorenzo Weibel joined later at the drums, Guido Egger at the guitar, Sal Nurrito at the bass guitar and Nicola Curcio at the second guitar. The first album, 'Evadere' was released in 2007.
In 2008 Sal Nurrito and Nicola Curcio decide to leave the band and Michele Cumar and Luca Valentino joined the group.
The Euro 2008 football championships held in Austria and Switzerland motivated the band to compose the single 'Gioco di Testa', a song dedicated to the Italian national team.
During the following years the band performed live in Switzerland and Germany on various stages and worked at the same time on a new music project which concluded with the recording of a new album, 'Il Tempo', released in 2015, One of the songs of this album is regularly sent byRadio Swiss Pop.
In 2016 Guido and Lorenzo left the band and in 2017 two new musicians joined it: Koni Peter as drummer and Christian Bürge as guitar player. This new setup brought new styles and ideas to the group whose sound is now a result of funk jazz/fusion and pop rock fusion.
In 2018 Koni and Christian decided to leave the band which is now working on new project to come back with new songs.
2007 Evadere
2008 Gioco Di Testa
2015 Il Tempo


text:
Q: After update from Angular 8 to Angular 9, 'ng generate component' generates a .css file instead of .scss In my project I had set up SCSS as the style. Now after the update from Angular 8 to 9, when I use the CLI to generate a new component, a CSS file is generated where I expect an SCSS file to be generated.

A: To fix it, open angular.json and search for styleext (it's in the schematics section). Rename styleext to style.
Explanation: This name has changed from styleext in version 8 to style in version 9 of Angular. However the ng update command did not take account of this. They have fixed it in the meantime so future ng updates will work properly:
https://github.com/angular/angular-cli/issues/16949

A: Just to clarify the already accepted answer:
As of Angular 9+ , I've fixed it in 'angular.json' file as follows: I've added/updated 'schematics' option as shown below
  "projects": {...},
  "schematics": {
    "@schematics/angular:component": {
      "style": "scss"
    }
  },


Stephane Mbia has confirmed he invoked a clause in his contract which allows him terminate his contract with French club, Toulouse.
The 32 year old midfielder who only joined the French club five months ago found games hard to come by and was only limited to five appearances Les Violets.
"Stephane wishes to thank the TFC for allowing him a return to the French league and wishes the club, its leaders and its supporters a beautiful second half of the season.
"I am sorry to the fans, but I wanted to quit Toulouse. I had the possibility to terminate my contract in January and I have done that.
Prior to his move to Toulouse Mbia had been a free agent since leaving Hebei China Fortune in March 2017 after two years with the Chinese club.