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Church Publishing is the foundational imprint owned by the Church Pension Group (which provides pensions for clergy and lay employees of our churches). Launched as the Church Hymnal Corporation, the original church publishing house was dedicated to publishing a single work, The Hymnal 1918, which remains in print to this day.
In the nearly 100 years since its first publication, Church Publishing has emerged as an important provider of liturgical and musical resources for The Episcopal Church, along with works on church leadership, pastoral care and Christian formation. With its growing portfolio of professional books and resources, Church Publishing is recognized as the official publisher for the General Convention of the Episcopal Church in the United States and publishes documents authorized by the General Convention. Through the years, Church Publishing has consciously broadened its program, reach, and service to the church by publishing books for and about the worldwide Anglican Communion.
Morehouse Publishing was independently founded in 1884 and specializes in works for laity, "the people in the pews." Like Church Publishing, Morehouse serves The Episcopal Church and the Anglican Communion, but the Morehouse program also reaches out to the broader Christian community with works designed to provide spiritual enrichment and practical guidance to people from all walks of faith. Morehouse seeks to expand and deepen the Church's ministry by publishing leading-edge titles in genres including faith and spirituality, women's issues, youth, and family.
Seabury Books is our "trade" imprint, targeting the retail book market at large. Seabury titles reflect the rich and diverse world of religious belief, thought, theory and application. Seabury Books publishes fresh, new works and classic titles for general readers, professionals, students, and scholars, from the viewpoints of many faith traditions. The Seabury Books imprint has become a progressive, ecumenical trade imprint, publishing a rich and diverse list of thought-provoking books in areas including theology, ethics, culture and society, Scripture, and homiletics.
Morehouse Church Supplies (MCS) provides a single-source solution for securing high quality church-related products in many categories. While the Episcopal Church is its largest customer group, MCS also caters to parishes, congregations, church schools, and professionals from many denominations.
Product lines include Episcopal gifts, jewelry, certificates, stationery, and others. Parish registers and forms are also in the product mix as well as items for individual and corporate worship and prayer, including lectionary bulletins, and annual planning calendars.
Morehouse Education Resources (MER) is the CPI division publishing exciting Christian formation and curriculum programs such as Living the Good News, Godly Play®, and Weaving God's Promises. Some MER programs are specific to The Episcopal Church (Weaving God's Promises) while others, like Godly Play®, are ecumenically focused.
Church Publishing Incorporated is also a provider of useful and relevant online and downloadable e-Products for use in worship planning and other ministries. Examples of these important resources include The Rite Stuff, ritebrain, ritesong, riteworship, and Preparing for Sunday. The diocese pays for a license for the ritesong for all of our churches so they are able to use music, print lyrics in their bulletins, etc.

redpajama_set_name: RedPajamaCommonCrawl


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Home/india/BCCI Chief Executive Rahul Johri says he "discharged" after being corrected in the case of sexual harassment
BCCI Chief Executive Rahul Johri says he "discharged" after being corrected in the case of sexual harassment
india November 21, 2018 india, Sport
The sexual harassment allegations against BCCI Rahul Johri Chief Executive were rejected as "misconduct and fabric" by the BCCI Administrator Committee crew panel on Wednesday. And after the ruling, Rahul Johri becomes a liberation man. Responding to the development, Johri said, "I am releasing my faith in God that I will become clear in this mess." Earlier on Wednesday, the head of the Justice investigating committee (retd) Rakesh Sharma said his findings and said, "The allegations of sexual harassment in the office or elsewhere are false, unfounded and made and & # 39; Produced with a further incentive to damage Mr. Rahul Johri … "The three member search panel also included former Chair of the Women's Commission of the Commission, Barkha Singh, and lawyer worker Veena Gowda. Johri had been on enforcement leave for the last three weeks but it can now resume office although one member of the researchers' committee recommends it "sex sensitivity counseling".
The two members of the CoA were split on the matter.
Although the chair of Vinod Rai has approved Johri joining, Diana Edulji said his resignation on the basis of some recommendations, including counseling.
Veena Gowda recommended advising Johri because of his "inappropriate behavior" with one of the complainants during the Champions Trophy in Birmingham. However, he maintained that there was no cause of sexual harassment against Johri. The committee, which was formed on October 25, was given 15 days to complete the audit by the CoA.
His report would also be presented to the Supreme Court. Edulji did not want the report to be published on Wednesday and asked him to be given at least a few days to study.
However, Rai opened the report in the presence of members of the panel as well as the day-to-day BCCI legal team.
Edulji was against the formation of the panel and wanted Johri to be dismissed on the grounds of the allegations while Rai felt that "principles of natural justice" demanded an investigation before any action.
The first allegation against Johri was an unknown e-mail accusing her of sexual misconduct, shared with dealing with Twitter, and later deleting. The defendant claimed he was a former Johri colleague in a previous position.
Thereafter there were two other allegations, one of Singapore's media professionals and another daughter, who worked with Johri as one of the previous organizations.
Both women were deposited through Skype, along with the main BCCI Anti-Pollution Unit, Neeraj Kumar, BCCI Treasurer, Anirudh Chaudhry, IPL Petitioner, Aditya Verma, and former captain Shishir Hattangadi.
There were also allegations against Johri about inappropriate behavior with the BCCI female employee. However, the employee concerned did not turn aside for deposits as widely quoted. Johri was the last person to decode and has spread over two days.
(With PTI input)
Japan capsule with asteroid samples retrieved in Australia
Rare Apple-1 Goes For Sale; Offer Starting at $ 50,000
My COVID story: "Fatigue and weakness were my mother's first COVID symptoms"
140 people hospitalized as mysterious disease hits Eluru town
He saw Anil Kapoor on the streets of Chandigarh doing his favorite form of cardio; watch: The Indian Tribune
Maruti Discounts Dec 2020 – Alto, Swift, Dzire, WagonR, Brezza, Ertiga


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Tag: NASA Wallops
Cygnus Heads to Space Station with Scientific Experiments, Radishes & a New Toilet
An Antares rocket lifts off with the Cygnus resupply ship on Oct. 2, 2020. (Credit: NASA)
WALLOPS ISLAND, Va. (NASA PR) — A Northrop Grumman Cygnus resupply spacecraft is on its way to the International Space Station with nearly 8,000 pounds of scientific investigations, technology demonstrations, commercial products, and other cargo after launching at 9:16 p.m. EDT Friday from NASA's Wallops Flight Facility on Wallops Island, Virginia.
The spacecraft launched on an Antares rocket from the Virginia Mid-Atlantic Regional Spaceport's Pad 0A at Wallops and is scheduled to arrive at the space station around 5:20 a.m. Monday, Oct. 5. Coverage of the spacecraft's approach and arrival will begin at 3:45 a.m. on NASA Television and the agency's website.
Three U.S. Launches Scheduled This Week
September 28, 2020 September 28, 2020 News 0
The United Launch Alliance Delta IV Heavy rocket launches NASA's Parker Solar Probe to touch the Sun, Sunday, Aug. 12, 2018, from Launch Complex 37 at Cape Canaveral Air Force Station, Florida. (Credits: NASA/Bill Ingalls)
Launcher: Delta IV Heavy
Payload: NROL-44 reconnaissance satellite
Launch Time: 12:02 a.m. EDT (0402 GMT)
Launch Site: Cape Canaveral Air Force Station, Fla.
Company: United Launch Alliance
Webcast: www.ulalaunch.com
Launcher: Falcon 9
Payload: GPS 3 SV04 navigation satellite
Launch Window: 9:55-10:10 p.m. EDT (0155-0210 GMT on Sept. 30th)
Company: SpaceX
Webcast: www.spacex.com
Launcher: Antares
Payload: Cygnus ISS resupply ship
Launch Time: 9:38 p.m. EDT (0138 GMT on Oct. 2)
Launch Site: Wallops Flight Facility, Va.
Company: Northrop Grumman
Webcast: http://nasa.gov/ntv
Launch Vehicle: Falcon 9
Payloads: 60 Starlink satellite broadband spacecraft
Location: Kennedy Space Center, Fla.
The launch was scrubbed on Monday due to weather constraints. SpaceX has not announced a new date yet.
Northrop Grumman Set to Launch 14th Cargo Delivery Mission to ISS
September 28, 2020 News 0
The U.S. Cygnus space freighter from Northrop Grumman is pictured moments after being released from the space station's Canadarm2 robotic arm. (Credit: NASA)
WALLOPS, Va., Sept. 28, 2020 (Northrop Grumman PR) – Northrop Grumman Corporation (NYSE: NOC) is set to launch the company's 14th resupply mission (NG-14) to the International Space Station under NASA's Commercial Resupply Services-2 contract. The NG-14 mission's Cygnus spacecraft will launch aboard the company's Antares rocket with nearly 8,000 pounds (approximately 3,600 kg) of scientific research, supplies and hardware for the astronauts aboard the station.
FAA Issues Launch Operator Licence to Rocket Lab for Wallops Island Pad
September 4, 2020 September 3, 2020 News 0
Electron booster on the launch pad at Wallops Island. (Credit: Rocket Lab)
LONG BEACH, Calif., September 1, 2020 (Rocket Lab PR) – Rocket Lab, a space systems company and global leader in dedicated small satellite launch, has been granted a five-year Launch Operator License by the Federal Aviation Administration (FAA) for Electron missions from Rocket Lab Launch Complex 2.
NASA TV to Air Northrop Grumman's Cygnus Departure from Space Station
HOUSTON (NASA PR) — Nearly three months after delivering several tons of supplies and scientific experiments to the International Space Station, Northrup Grumman's unpiloted Cygnus cargo craft is scheduled to depart the International Space Station on Monday, May 11.
Live coverage of the spacecraft's release will air on NASA Television and the agency's website beginning at 11:45 a.m. EDT, with release scheduled for noon.
NASA Science, Cargo Heads to Space Station on Northrop Grumman Mission
February 15, 2020 News 0
A Northrop Grumman Cygnus resupply spacecraft launched on an Antares 230+ rocket from the Virginia Mid-Atlantic Regional Spaceport's Pad 0A at Wallops at 3:21 p.m. EST Saturday, Feb. 15, 2020. (Credits: NASA)
WALLOPS, Va. (NASA PR) — A Northrop Grumman Cygnus resupply spacecraft is on its way to the International Space Station with about 7,500 pounds of science investigations and cargo after launching at 3:21 p.m. EST Saturday from NASA's Wallops Flight Facility in Virginia.
The spacecraft launched on an Antares 230+ rocket from the Virginia Mid-Atlantic Regional Spaceport's Pad 0A at Wallops and is scheduled to arrive at the space station at about 4:05 a.m. Tuesday, Feb. 18. Coverage of the spacecraft's approach and arrival will begin at 2:30 a.m. on NASA Television and the agency's website.
NASA Coverage Set for Rescheduled Cygnus Launch on Friday
February 13, 2020 February 13, 2020 News 0
Antares with Cygnus CRS-13 spacecraft on the launch pad on Wallops Island. (Credit: NASA)
WALLOPS, Va. (NASA PR) — Northrop Grumman's next NASA resupply services mission to the International Space Station is targeted for launch at 3:43 p.m. EST Friday, Feb. 14. Live coverage of the launch and briefings will begin at 3:15 p.m., on NASA Television and the agency's website.
The company's 13th commercial resupply services mission using its Cygnus cargo spacecraft will launch on its Antares rocket from the Mid-Atlantic Regional Spaceport at NASA's Wallops Flight Facility in Virginia.
Northrop Grumman Scrubs Antares Launch
February 9, 2020 February 9, 2020 News 0
WALLOPS ISLAND, Va. (NASA PR) — Northrop Grumman scrubbed tonight's Antares launch after off-nominal readings from a ground support sensor. Northrop Grumman and NASA have set the next launch attempt to no earlier than Feb. 13 at 4:06 p.m. EST, due to an unfavorable weather forecast over the next two days, and time required to address the ground support issue.
NASA TV coverage of the launch will begin at 3:30 p.m. EST. Teams will refresh 24-hour late load cargo the day before. The Antares rocket and Cygnus spacecraft remain healthy. A launch Thursday would result in a capture of Cygnus on Saturday, Feb. 15. For more information on this mission, please visit www.nasa.gov/northropgrumman and NASA's homepage.
Follow launch activities at the launch blog and @NASA_Wallops and learn more about space station activities by following @space_station and @ISS_Research on Twitter as well as the ISS Facebook and ISS Instagram accounts.
NASA to Provide Coverage of Next Cygnus Resupply Mission
The U.S. Cygnus space freighter is pictured as the Canadarm2 robotic arm, guided by NASA astronaut Jessica Meir with fellow Flight Engineer Christina Koch as her back up, reaches out to grapple the 12th resupply ship from Northrop Grumman on November 4, 2019. (Credits: NASA)
WALLOPS ISLAND, Va. (NASA PR) — Northrop Grumman's next NASA resupply services mission to the International Space Station is targeted for launch at 5:39 p.m. EST Sunday, Feb. 9. Live coverage of the launch and briefings will begin at 5 p.m. on NASA Television and the agency's website.
The company's 13th commercial resupply services mission using its Cygnus cargo spacecraft is scheduled to launch on its Antares rocket from the Mid-Atlantic Regional Spaceport at NASA's Wallops Flight Facility in Virginia.
New Research Launching to Station Aboard Northrop Grumman's 13th Resupply Mission
January 30, 2020 January 29, 2020 News 0
Nov. 4, 2019: International Space Station Configuration. Four spaceships are attached to the space station including the Northrop Grumman Cygnus resupply ship and Russia's Progress 73 resupply ship and Soyuz MS-13 and MS-15 crew ships.
HOUSTON (NASA PR) — Investigations studying tissue culturing, bone loss and phage therapy will be launching, along with more scientific experiments and supplies, to the International Space Station on a Northrop Grumman Cygnus spacecraft. The vehicle launches no earlier than Feb. 9 from NASA's Wallops Flight Facility in Virginia.
Rocket Lab Opens Second Launch Complex on Wallops Island
December 12, 2019 December 12, 2019 News 0
Rocket Lab's launch complex on Wallops Island. (Credit: Rocket Lab)
Ten months after the first pilings were driven in, Rocket Lab declared its new launch complex on Wallops Island, Va., open and ready to serve the U.S. military's need for rapid response launches with the company's Electron booster.
"We're proud to call Wallops Island in Virginia our home. We're very proud to deliver a new launch capability to the United States. We're very proud to support U.S. missions with a U.S. launch vehicle on U.S. soil," CEO Peter Beck said during a press conference.
NASA Eyes Sounding Rocket Launches From Australia
June 3, 2019 News 8
A Black Brant IX sounding rockets lifts off from the Wallops Flight Facility with the ASPIRE experiment on board on Sept. 7, 2018. (Credit: NASA/Allison Stancil)
ADELAIDE, South Australia, 31 May 2019 (Australia Space Agency PR) — NASA is looking to Australian company Equatorial Launch Australia (ELA) to conduct rocket launches.
NASA's Goddard Space Flight Center/Wallops Flight Facility has indicated it would like to progress discussions with ELA on their 2020 sounding rocket campaign. The campaign would provide temporary southern hemisphere launch facilities for sounding rockets for scientific investigations.
The proposed launch activities fall under the Space Activities Act 1998. The amended legislation to come into effect on 31 August 2019 (the Space (Launches and Returns) Act 2018). The Australian Space Agency is responsible for administering this legislation, including the relevant licenses and permits for launch sites and launch activities.
The Agency is also currently consulting with industry on draft rules under the amended Act. Ensuring the rules are in place for space activities is a priority for the Agency.
Head of the Australian Space Agency, Dr Megan Clark AC said, "NASA's interest in conducting a sounding rocket campaign in Australia shows the increasing importance of commercial launch activities from Australia.
"As these activities build momentum, the Agency will continue its focus on creating a supportive regulatory environment that fosters industry growth, while ensuring public safety and considering our international obligations."
Third ASPIRE Test Confirms Mars 2020 Parachute a Go
October 29, 2018 October 28, 2018 News 1
PASADENA, Calif. (NASA PR) — In the early hours of Sept. 7, NASA broke a world record.
Less than 2 minutes after the launch of a 58-foot-tall (17.7-meter) Black Brant IX sounding rocket, a payload separated and began its dive back through Earth's atmosphere. When onboard sensors determined the payload had reached the appropriate height and Mach number (38 kilometers altitude, Mach 1.8), the payload deployed a parachute. Within four-tenths of a second, the 180-pound parachute billowed out from being a solid cylinder to being fully inflated.
Rocket Lab Selects Wallops Island for U.S. Launch Site
October 17, 2018 October 18, 2018 News 18
Electron launch (Credit: Rocket Lab)
RICHMOND, Va. (Virginia Governor's Office PR)—Governor Ralph Northam announced today that Rocket Lab, a California-based company, has chosen Virginia Space and the Mid-Atlantic Regional Spaceport as the location for Launch Complex-2 (LC-2), Rocket Lab's first launch facility located in the United States.
Small Packages to Test Big Space Technology Advances
The RainCube 6U CubeSat with fully-deployed antenna. (Credit: NASA/JPL-Caltech)
WALLOPS ISLAND, Va. (NASA PR) — This weekend, when the next cargo resupply mission to the International Space Station lifts off from NASA Wallops Flight Facility in Virginia, it will be carrying among its supplies and experiments three cereal box-sized satellites that will be used to test and demonstrate the next generation of Earth-observing technology.


Just chilling in the backyard ya know ?
Who else is a music enthusiast ???
Who remembers 🙂 ?? Pizzzza life #repost ?
Kinda tired but it's alright 🙂 and the diet is still going strong ! ?
One of the best days of my Life !! I got the results : I progress to the next grade (3rd year of engineering), I'm so happy rn ?
Good night ! Btw, should I cut my Hair ?
BUSY week for me ? I didn't post that much lately, so be ready for next week I will post more content. But for the moment, I have a long and crazy week-end that is waiting !!
I just realised that I have 2 weeks left to work my exams ?? but the sun is here so I'm still happy ?
I got told so many times that I look like Shawn Mendes, what do you think ?
Went running this afternoon. I feel so nice when the good weather is coming back ! Who else is enjoying life right now ? ☀?
Just a random pic of me studying ? For those who ignore it, I'm doing engineering studies ?
Exams over !!! Time for relax, I can finally go out ??? (I look angry cause tired af after this week ;)) By the way for those who ask, I'm in an engineering school, so no, exams aren't easy … At all !
When I was tanned & cut 🙂 Back at this in 1 or 2 month ! ? I've been working this week, first exam tomorrow . how was your day ??


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Copper in all scrap contributed about 31% of the U.S. copper supply in 2016. Old scrap provided 170,000 tons of copper, equivalent to 9% of apparent consumption. New scrap, generated during product fabrication processes, yielded 640,000 tons of contained copper.
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text:
\section{Introduction}

	\subsection{Background}
	Let $X$ be a proper algebraic variety defined over a number field $K.$
	Let $\Omega_K$ be the set of all nontrivial places of $K.$

	Let $K_v$ be the completion of $K$ at $v\in \Omega_K.$

	We say that $X$ violates the \defi{local-global principle} if $X(K_v)\neq\emptyset$ for all $v\in\Omega_K,$ whereas $X(K)=\emptyset.$

	The Hasse-Minkowski theorem states that an algebraic variety defined by a quadratic form satisfies the local-global principle. As a consequence, the local-global principle holds for every smooth, projective and geometrically connected curve of genus-0.  The first genus-1 curve violating the local-global principle was discovered by Lind \cite{Li40} and Reichardt \cite{Re42}.
	A simple one is Selmer's cubic curve defined over $\QQ$ by
	$3w_0^3+4w_1^3+5w_2^3=0$ in $\PP^2$ with homogeneous coordinates $(w_0:w_1:w_2),$ cf. \cite{Se51}.
	Poonen \cite{Po10a} proved that there exist curves over every global field violating the local-global
	principle. Clark \cite[Section 5 Conjecture 1]{Cl09} conjectured that genus-1 curve will be enough, i.e. for any given global field, there exists a genus-1 curve over this field violating the local-global principle.

	Our goal is to prove that Clark's conjecture \cite[Section 5 Conjecture 1]{Cl09} holds for any number field not containing $\QQ(i).$ More exactly, we will prove the following theorem.

	\begin{thm}[Theorem \ref{thm: main theorem}]
		For any number field $K$ not containing $\QQ(i),$ there exists an elliptic curve $E$ defined over $K$ such that $\Sha (K,E)[2]\neq 0.$ Here  $\Sha (K,E)[2]$ is the $2$-torsion subgroup of the Shafarevich-Tate group of $E.$
	\end{thm}

	The way to prove this theorem is to give an explicit construction of genus-1 curve violating the local-global principle. The curves that we consider in this paper, are
	the smooth projective models of plane curves defined by the equation
		\begin{equation}\label{equation}
		qy^2=x^4-p
	\end{equation}
    in $K[x,y]$ such that $p,~q$ are coprime integers in $K.$ These are genus-1 curves. We give smooth compactifications of these curves in Section \ref{Compactification}. We discuss in which case these curves have local points in Section \ref{section: existence of local points}, and give sufficient conditions about whether they don't exist $K$-rational points in Section \ref{section: no rational points}. In Section \ref{section: check the assumption}, we will prove that if the number field $K$ does not contain $\QQ(i),$ then we can choose parameters satisfying all conditions of Subsection \ref{subsection: assumption on a number field} so that the chosen curve violates the local-global principle. Then the Jacobian of the chosen curve will meet the needs of Theorem \ref{thm: main theorem}.

    Although we believe that for any number field, the curve given by the equation (\ref{equation}) can positively answer Clark's conjecture \cite[Section 5 Conjecture 1]{Cl09} completely, it seems unreachable now. Our paper in progress will answer Clark's conjecture \cite[Section 5 Conjecture 1]{Cl09} completely, but the proof is not given by an explicit construction.

	\section{Notation}
Given a number field $K,$ let $\Ocal_K$ be the ring of its integers, and let $\Omega_K$ be the set of all its nontrivial places. Let $\infty_K\subset \Omega_K$ be the subset of all archimedean places, and let $2_K\subset \Omega_K$ be the subset of all $2$-adic places. Let $\infty_K^r\subset \infty_K$ be the subset of all real places, and let $\Omega_K^f=\Omega_K\backslash \infty_K$ be the set of all finite places of $K.$ Let $K_v$ be the completion of $K$ at  $v\in \Omega_K.$
 For $v\in \Omega_K^f,$  let $\FF_v$ be its residue field.
We say that an element is a \defi{prime element}, if the ideal generated by this element is a prime ideal.

	\section{Compactification}\label{Compactification}
	In this section, we construct the smooth projective models of plane curves defined by the equation (\ref{equation}).

\subsection{Zero loci in projective space bundles}\label{subsection: compactification}
Let $B$ be a smooth, projective, and geometrically connected variety over a number field $K.$ Let $\Lcal$ be a line bundle on $B,$ and we assume the set of global sections $\Gamma(B,\Lcal^{\otimes2})\neq 0.$ Let $\Ecal=\Ocal_B\oplus \Lcal$ be the rank-$2$ vector bundle on $B.$ Let $a\in K^\times$ be a constant, and let $s\in \Gamma(B,\Lcal^{\otimes2})$ be a nonzero global section. The zero locus of $(a,-s)\in\Gamma(B,\Ocal_B\oplus\Lcal^{\otimes2})\subset\Gamma(B,\Sym^2\Ecal)$ in the projective space bundle $\Proj(\Ecal)$ is  a projective scheme, denoted by $X$ with the natural projection $\alpha\colon X\to B.$ We have the following lemma to ensure the smoothness of $X.$

\begin{lemma}\label{lemma smoothness criterion}
	Given a number field $K,$ we use the notation as in Subsection \ref{subsection: compactification}. The locus defined by $s=0$ in $B$ is smooth, if and only if $X$ is smooth
\end{lemma}

\begin{proof}
	By the Jacobian criterion and local computation, this lemma follows.
\end{proof}

\begin{remark}\label{remark: smooth compactification}
	Consider the case that $B=\PP^1$ and $\Lcal=\Ocal(n_0)$ for some fixed positive integer $n_0.$ Let  $s\in \Gamma(\PP^1,\Ocal(2n_0))$ be a global section, and let $s(x)\in K[x]$ be a dehomogenization of $s.$ By Lemma \ref{lemma smoothness criterion}, in order to ensure the smoothness of $X,$ we assume that the polynomial $s(x)$ is separable of degree $2n_0.$ Then $X$ is a smooth, projective, and geometrically connected curve, and it is the smooth compactification of the affine curve given by the equation $ay^2=s(x)\in \AA^2$ with affine coordinates $(x,y).$
\end{remark}

Next, we consider the plane curve defined by the equation (\ref{equation}). By Remark \ref{remark: smooth compactification}, we choose the smooth projective model as in Subsection \ref{subsection: compactification}.

\begin{cor}\label{cor: genus =1}
	Given a number field $K,$ let $C$ be
	the smooth projective model of the plane curve defined by the equation (\ref{equation}).
	 Then the genus of $C$ is one.
\end{cor}

\begin{proof}
	Since the polynomial $x^4-p$ is separable over $K,$ by Lemma \ref{lemma smoothness criterion} and Remark \ref{remark: smooth compactification}, we consider its smooth compactification as in \ref{subsection: compactification}, and let $\alpha\colon C\to \PP^1$ be the natural projection. By Hurwitz's Theorem \cite[Chapter IV. Corollary 2.4]{Ha97}, the genus of $C$ is one.
\end{proof}
\section{Existence of local points}\label{section: existence of local points}

	In this section, we discuss in which case the curve defined by the equation (\ref{equation}) has local points. By Lang-Weil estimate \cite{LW54}, a given curve over a number field $K$ has local points for almost all\footnote{The phrase "almost all" means "all but finite".} places of $K.$
	 The following proposition tells all possible places where it doesn't have local points. It is essential to judge whether the curve has local points.

   	\begin{proposition}\label{prop: exist local points}	Given a number field $K,$ let $C^0$ be the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y]$ such that $p,~q$ are coprime integers in $K.$ Let $S= \infty_K^r \cup 2_K\cup \{v\in \Omega_K^f | v(pq)\neq 0\}$ be a finite set.
   		 Then $C^0(K_v)\neq \emptyset$ for all $v\in \Omega_K\backslash S.$
\end{proposition}

    \begin{proof}
    		Let $C$ be the smooth compactification of $C^0.$ By the implicit function theorem, we only need to check that $C(K_v)\neq \emptyset.$
    		 Suppose that  $v\in \Omega_K\backslash S,$ then $v$ is an odd place. If $q\in K_v^{\times 2},$ then the curve $C^0$ admits a $K_v$-point with $v(x)<0.$ Next, we consider the case $q\notin K_v^2.$ The curve $C$ has good reduction over $K_v.$ Let $\tilde{C}$ be its reduction. Since any point in $\tilde{C}(\FF_v)$ can be lifted to a point in $C(K_v),$ we only need to prove that $\tilde{C}(\FF_v)\neq \emptyset.$ Let $C'$ be the smooth compactification of the curve defined by
    		 $y^2=x^4-p$ in $K[x,y],$ and $\tilde{C}'$ be its reduction. By Remark \ref{remark: smooth compactification} and Corollary \ref{cor: genus =1}, the curve  $\tilde{C}'$ is an elliptic curve over $\FF_v.$ By Hasse's bound for elliptic over finite field \cite[Chapter V, Theorem 1.1]{Si09}, we have $\sharp \tilde{C}'(\FF_v)\leq 1+\sharp\FF_v+2\sqrt{\sharp\FF_v}.$ So, we get $\sharp \tilde{C}'(\FF_v)<2(1+\sharp\FF_v).$ If the polynomial $x^4-p$ has a $\FF_v$-root, then $\tilde{C}(\FF_v)\neq \emptyset.$ Otherwise, we consider the map $\alpha\colon \tilde{C}'\to \PP^1$ given by $(x,y)\mapsto x,$ the same as in Subsection \ref{subsection: compactification}. Then $\sharp \alpha(\tilde{C}'(\FF_v))=\sharp\tilde{C}'(\FF_v)/2<1+\sharp\FF_v.$ So $\PP^1(\FF_v)\backslash \alpha(\tilde{C}'(\FF_v))\neq \emptyset.$ In this case, there exists an element $\overline{x_0}\in \FF_v$ such that $\overline{x_0}^4-p\notin\FF_v^2.$ For $q\notin K_v^2,$ the equation $qy^2=x^4-p$ with affine coordinates $(x,y)$ has a $\FF_v$-solution with $x=\overline{x_0}.$ So in each case, we have
    		 $\tilde{C}(\FF_v)\neq \emptyset.$ So $C^0(K_v)\neq \emptyset.$
    	    \end{proof}

    We put some additional conditions for the parameters $p,~q$ so that the curve in Proposition \ref{prop: exist local points} has local points for all places.

   \begin{cor}\label{Cor: exist local points}
   	Given a number field $K,$ let $C^0$ be the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y]$ such that $p,~q$ are coprime integers in $K.$ Let $S_1=\infty_K^r \cup 2_K\cup \{v\in \Omega_K^f | v(q)\neq 0\}.$ Additionally, we assume that $p$ is a prime element, and $p\in K_v^{\times 4}$ for all $v\in S_1.$ Then $C^0(K_v)\neq \emptyset$ for all $v\in \Omega_K.$
   \end{cor}
    		   \begin{proof}
    		   	By Proposition \ref{prop: exist local points}, we only need to check the case that $v\in S_1\cup\{v_{p}\}.$

    		   	Suppose that $v\in  S_1.$ By assumption that $p\in K_v^{\times 4},$ then the equation $qy^2=x^4-p$ with affine coordinates $(x,y)$ has a $K_v$-solution with $y=0.$\\
    		   	Suppose that $v=v_p,$ then $v$ is an odd place. By the product formula $\prod_{v\in \Omega_K}(p,q)_v= 1,$ we have $q\in K_v^{\times 2}.$ By Hensel's lemma, the curve $C^0$ admits a $K_v$-point with $v(x)<0.$

    		   	So $C^0(K_v)\neq \emptyset$ for all $v\in \Omega_K.$
    		\end{proof}

    \section{The local-global principle for genus one curves}\label{section: no rational points}
    \subsection{The \BMo}
        	Let $C^0$ be a curve defined over a number field $K$ as in Proposition \ref{prop: exist local points}, and let $C$ be its smooth compactification. Let $K(C^0)$ be the function field of $C^0.$ According to \cite[Cor. 1.8]{Gr68II}, we have an inclusion $\Br(C)\hookrightarrow\Br(K(C^0)).$
    Next, we consider the quaternion algebra class $(y,p)\in \Br(K(C^0))[2].$ It is proved in \cite[Example 6.3.3]{CTS21} that this quaternion algebra class indeed belongs to $\Br(C)[2].$ They proved it in a purely algebraic way. To fit into the context of this paper, we will give another proof by explicit calculations of local invariants.

    \begin{lemma}\label{lemma: Brauer group extension}
    	Given a number field $K,$ let $C^0$ be the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y]$ such that $p,~q$ are coprime integers in $K.$ Then the quaternion algebra class $A=(y,p)\in \Br(K(C^0))[2]$ belongs to $\Br(C)[2].$
    \end{lemma}

    \begin{proof}
    	By Harari's formal lemma \cite[Th\'eor\`eme 2.1.1]{Ha94}, it will be sufficient to prove that for almost all $v\in \Omega_K,$ the local invariant $\invap=0$ for all $P_v\in C^0(K_v)$ with $y(P_v)\neq 0.$

    	Let $S= \infty_K^r \cup 2_K\cup \{v\in \Omega_K^f | v(pq)\neq 0\}$ be a finite set.   Suppose that $v\in \Omega_K\backslash S,$ then $v$ is an odd place. Take an arbitrary $P_v\in C^0(K_v)$ with $y(P_v)\neq 0.$ If $\invap=1/2,$ then $(y,p)_v=-1$ at $P_v.$ By Chevalley-Warning theorem  \cite[Chapter I \S 2, Corollary 2]{Se73}, the valuation $v(y)$ is odd at $P_v,$ which implies $v(y)>0.$ So the polynomial $x^4-p$ has a $\FF_v$-root. By Hensel's lemma, we have $p\in K_v^{\times 2},$ which contradicts $(y,p)_v=-1.$ So $\invap=0.$
    \end{proof}

	We make the following assumption on the base field and the parameters of the equation (\ref{equation})  so that the curve given by this equation violates the local-global principle.

\subsection{Assumption on a number field}\label{subsection: assumption on a number field}Let $K$ be a number field. For the ideal class group of $K$ is finite, we take a positive integer $N$ such that $\Ocal_K[1/N]$ is a principle ideal domain. Let $S_2=\infty_K^r\cup 2_K\cup \{v\in \Omega_K^f | v(N)\neq 0\}$ be a finite set.  We make the following assumption on the number field $K.$
\begin{assumption}\label{assumption: assumption on a number field} For a number field $K,$ we assume that there exist a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying the following assumption.
	\begin{enumerate}

		\item\label{assumption 1} $p$ is a prime element,
		\item\label{assumption 2} $p\in K_v^{\times 4}$  for all $v\in S_2,$
		\item\label{assumption 3} $q\in K_p^{\times 2}\backslash K_p^{\times 4},$
		\item\label{assumption 4}  $\sharp \FF_{v_0}\equiv 3\mod 4,$
		\item\label{assumption 5}  $v_0(q)=1,$
		\item\label{assumption 6} $\{v\in \Omega_K^f | v(q)\neq 0\}\backslash \{v_0\} \subset \{v\in \Omega_K^f | v(N)\neq 0\}.$

	\end{enumerate}
\end{assumption}

\subsection{The local-global principle}
The following proposition states that the curve given by the equation (\ref{equation}) with parameters satisfy Assumption \ref{assumption: assumption on a number field} has local points.
\begin{prop}\label{proposition: exist of local point}
	For a number field $K,$ we assume that there exist a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying Assumption \ref{assumption: assumption on a number field}. let $C^0$ be the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y].$ Then $C^0(K_v)\neq \emptyset$ for all $v\in \Omega_K.$
\end{prop}

\begin{proof}
	We will check that the parameters satisfy all conditions of Corollary \ref{Cor: exist local points}.  Let $S_1=\infty_K^r \cup 2_K\cup \{v\in \Omega_K^f | v(q)\neq 0\}$ as in Corollary \ref{Cor: exist local points}, and let $S_2=\infty_K^r\cup 2_K\cup \{v\in \Omega_K^f | v(N)\neq 0\}$ as in Subsection \ref{assumption: assumption on a number field}, then $S_1\backslash \{v_0\}\subset S_2.$ By the choice of $p$ and Corollary \ref{Cor: exist local points}, we only need to prove that $p\in K_{v_0}^{\times 4}.$ By the product formula $\prod_{v\in \Omega_K}(p,q)_v=1$ and $q\in K_p^{\times 2},$ we have $(p,q)_{v_0}=1.$ By Assumption (\ref{assumption 5}), the reduction $\bar{p}\in \FF_{v_0}^{\times 2}.$ By Assumption (\ref{assumption 4}) that $\sharp \FF_{v_0}\equiv 3\mod 4,$ we have $\FF_{v_0}^{\times 2}=\FF_{v_0}^{\times 4},$ so $\bar{p}\in \FF_q^{\times 4}.$ By Hensel's lemma, we have $p\in K_{v_0}^{\times 4}.$
\end{proof}

By Lemma \ref{lemma: Brauer group extension}, the quaternion algebra class $A=(y,p)\in \Br(K(C^0))[2]$ belongs to $\Br(C)[2].$
For the curve given in Proposition \ref{proposition: exist of local point}, we calculate the local invariant $\invap$ for all $P_v\in C(K_v)$ and all $v\in \Omega_K.$

\begin{lemma}\label{lemma: violating local-global principle}
		For a number field $K,$ we assume that there exist a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying Assumption \ref{assumption: assumption on a number field}. Let $C$ be the smooth projective model of the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y].$ Let $A=(y,p)\in \Br(C)[2].$ Then, for any $v\in \Omega_K,$ and any $P_v\in C(K_v),$
			\begin{equation*}
				\inv_v(A(P_v))=\begin{cases}
					0& if\quad v\neq v_p,\\
					1/2 & if \quad v= v_p.
				\end{cases}
			\end{equation*}
\end{lemma}

\begin{proof}
	For the evaluation of $A$ on $C(K_v)$ is locally constant, the implicit function theorem implies that we only need to calculate $\inv_v(A(P_v))$ for all $P_v\in C^0(K_v)$ with $y(P_v)\neq 0.$

		Let $S= \infty_K^r \cup 2_K\cup \{v\in \Omega_K^f | v(pq)\neq 0\}$ be a finite set. As in the proof of Lemma \ref{lemma: Brauer group extension}, for any $v\in \Omega_K\backslash S,$ and any $P_v\in C^0(K_v)$ with $y(P_v)\neq 0,$ we have $\inv_v(A(P_v))=0.$ \\
			Suppose that $v\in S\backslash \{v_0,v_p\}.$ Let $S_2=\infty_K^r\cup 2_K\cup \{v\in \Omega_K^f | v(N)\neq 0\}$ as in Subsection \ref{assumption: assumption on a number field}, then $v\in S_2.$ By Assumption (\ref{assumption 2}), we have $\inv_v(A(P_v))=0$ for all  $P_v\in C^0(K_v)$  with $y(P_v)\neq 0.$\\
		Suppose that  $v=v_0.$ By the same argument as in the proof of Proposition \ref{proposition: exist of local point}, we have  $p\in K_{v}^{\times 4},$ which implies  $\inv_v(A(P_v))=0$ for all  $P_v\in C^0(K_v)$  with $y(P_v)\neq 0.$

		Suppose that  $v=v_p.$ Take an arbitrary $P_v\in C^0(K_v).$   By comparing the valuation of the equation (\ref{equation}), we have $v(x)\leq 0$ and $x^4-p\in K_v^{\times 4}$ at $P_v.$ By Assumption (\ref{assumption 3}), we have $q\in K_v^{\times 2}\backslash K_v^{\times 4}.$ Then $y\notin K_v^{2},$ so $\inv_v(A(P_v))=1/2$ at $P_v.$
\end{proof}
	Combining Lemma \ref{lemma: violating local-global principle} with the global reciprocity law, we have
the following proposition that the curve given by the equation (\ref{equation}) with parameters satisfying Assumption \ref{assumption: assumption on a number field} has no $K$-rational point.

\begin{prop}\label{proposition: no rational point}
	For a number field $K,$ we assume that there exist a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$
	satisfying Assumption \ref{assumption: assumption on a number field}. Let $C$ be the smooth projective model of the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y].$ Then $C(K)= \emptyset.$
\end{prop}

\begin{proof}
	If  the curve $C$ has a $K$-rational point $P,$ then by the global reciprocity law, the sum $\sum_{v\in \Omega_K}\inv_v(A(P))=0$ in $\QQ/\ZZ.$ But by Lemma \ref{lemma: violating local-global principle}, 	the sum is $1/2$, which is nonzero in $\QQ/\ZZ.$
\end{proof}

Applying Proposition \ref{proposition: no rational point}, the Jacobian of $C$ will have the following proposition.
	\begin{prop}\label{prop: nontrivial Sha}
	For a number field $K,$ we assume that there exist a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying Assumption \ref{assumption: assumption on a number field}. Then there exists an elliptic curve $E$ defined over $K$ such that $\Sha (K,E)[2]\neq 0.$
\end{prop}

\begin{proof}
	Let $C$ be the smooth projective model of the plane curve defined by the equation $qy^2=x^4-p$ in $K[x,y].$ Let $E$ be the Jacobian of $C.$ By Corollary \ref{Cor: exist local points}, the curve $E$ is an elliptic curve. Consider the class $[C]\in H^1(K, E).$ By Proposition \ref{proposition: exist of local point}, the set $C(K_v)\neq \emptyset$ for every $v\in \Omega_K,$ which implies $[C]\in \Sha (K,E).$ By Proposition \ref{proposition: no rational point}, the set $C(K)=\emptyset,$ which implies $[C]\neq 0.$ For $C(K(\sqrt{q}))\neq\emptyset,$  the standard restriction-corestriction argument implies $2[C]=0,$ so $[C]\in \Sha (K,E)[2]$ is a nonzero element.
\end{proof}

    \section{Assumption \ref{assumption: assumption on a number field} holds for number fields not containing $\QQ(i)$}\label{section: check the assumption}

    Let $K$ be a number field not containing $\QQ(i).$  In this section, we will find a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying Assumption \ref{assumption: assumption on a number field}.

    The following lemma is a consequence of the \v{C}ebotarev density theorem.

       		\begin{lemma}\label{lemma mod 4=3 prime element}
       			Let $K$ be a number field not containing $\QQ(i).$ Let $P_K$ be the set of prime numbers $p$ such that
       			\begin{itemize}
       				\item  $p$ splits over $K,$ i.e. there exists a place $v\in \Omega_K$ such that $K_v\cong \QQ_p.$
       				\item $p\equiv 3\mod 4.$
       			\end{itemize}
       			 Then the set $P_K$ is a infinite set.

    \end{lemma}

    \begin{proof}
	 Let $\overline{K}$ be an algebraic closure field of $K.$ Let $L$ be the Galois closure of $K/\QQ$ in $\overline{K}.$ For $\QQ(i)\nsubseteq K,$ the extension $L(i)/K$ is a nontrivial Galois extension. Take an element $\sigma\in \Gal(L(i)/K)$ such that the restriction of $\sigma$ on $K(i)$ is nontrivial. Let $P_{L(i)}$ be the set of all prime numbers $p$ such that there exists a place $v|p$ in $\Omega_{L(i)}$ satisfying that the subgroup group $\Gal(L(i)_{v}/\QQ_p)\subset \Gal(L(i)/\QQ)$ is generated by $\sigma.$
    	 Similar to the proof of \cite[Chapt. VII Theorem 13.4]{Ne99}, the set $P_{L(i)}$ has positive density. Take an arbitrary prime number $p_0\in P_{L(i)}$  unramified over $L(i).$ Then there exists a place $v_0|p_0$ in $\Omega_{L(i)}$ such that $\Gal(L(i)_{v_0}/\QQ_{p_0})$ is generated by $\sigma.$ Let $w_0',~w_0$ be the restriction of $v_0$ on $K(i)$ and $K$ respectively. Then $K_{w_0}\cong \QQ_{p_0},$ and $K(i)_{w_0'}/K_{w_0}$ is a nontrivial unramified extension. So $p_0$ splits over $K,$ and $p_0\equiv 3\mod 4.$ So the set $P_K$ is a infinite set.
    \end{proof}

        \begin{remark}
    	One can calculate that the density $d(P_K)\geq \frac{1}{2[K:\QQ]}.$ Here $[K:\QQ]$ is the degree of the extension $K/\QQ.$
    \end{remark}

Given a number field $K$ not containing $\QQ(i),$ let $N$ and $S_2=\infty_K^r\cup 2_K\cup \{v\in \Omega_K^f | v(N)\neq 0\}$ be as in Subsection \ref{subsection: assumption on a number field}. We will choose $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying Assumption \ref{assumption: assumption on a number field}.
\begin{prop}\label{prop: existence of parameters}
	Let $K$ be a number field not containing $\QQ(i).$
	Then there exist a pair of coprime integers $(p,~q)$ and an odd place $v_0\in \Omega_K$ satisfying Assumption \ref{assumption: assumption on a number field}.
\end{prop}

\begin{proof}
		Let $\mfr_{\infty}$ be the product of all places in $\infty_K^r,$ and let $\mfr=16N^2 \mfr_{\infty}$ be a modulus of $K.$ Let $K_\mfr$ be the ray class field of modulus $\mfr,$ then $\QQ(i)\subset  K_\mfr.$

	Let $I_\mfr$ be the group of fractional ideals that are prime to  $16N^2.$ Let $P_\mfr\subset I_\mfr$ be the subgroup of principal ideals generated by some $a\in K^\times$ with $a\equiv 1 \mod 16N^2$ and $\tau_v(a)>0$ for all $v\in \infty_K^r.$ Then by Artin reciprocity law
	(cf. \cite[Chapter VI Theorem 7.1 and Corollary 7.2]{Ne99}), the classical Artin homomorphism $\theta$ gives an exact sequence:
	\begin{equation}\label{artin exact sequence}
		0\to P_\mfr\hookrightarrow I_\mfr \stackrel{\theta}\to \Gal(K_\mfr/K)\to 0.
	\end{equation}
	By Lemma \ref{lemma mod 4=3 prime element}, we take a place $v_0\in \Omega_K$ such that $\sharp \FF_{v_0}\equiv 3 \mod 4,$ and $v_0$ unramified over $K_\mfr.$ For $\Ocal_K[1/N]$ is a principle ideal domain, we can take $q\in \Ocal_K$ satisfying Assumption (\ref{assumption 5})  and Assumption (\ref{assumption 6}). For $v_0$ is unramified over $K_\mfr$ and $v_0(q)=1,$ the Galois group $\Gal(K_\mfr(\sqrt[4]{q})/K_\mfr)\cong \ZZ/4\ZZ$ denoted a generator by $\sigma.$
	By \v{C}ebotarev density theorem \cite[Chapt. VII Theorem 13.4]{Ne99}, there exist a place $v_1'$ in $\Omega_{K_\mfr(\sqrt[4]{q})}$ and its restriction $v_1\in \Omega_K$ such that $\Gal(K_\mfr(\sqrt[4]{q})_{v_1'}/K_{v_1})$ is generated by $\sigma^2.$ Then $v_1$ splits completely in $K_\mfr.$ By \cite[Chapt. VI Corollary 7.4]{Ne99} and the exact sequence (\ref{artin exact sequence}), the place $v_1$ is associated to a prime element $p\in P_\mfr.$ So Assumption (\ref{assumption 1}) and Assumption (\ref{assumption 2}) hold. By the choice of $v_1,$ the assumption $q\in K_p^{\times 2}\backslash K_p^{\times 4}$ holds.
\end{proof}

	Combining Proposition \ref{prop: nontrivial Sha} and Proposition \ref{prop: existence of parameters}, we get our theorem.

	\begin{thm}\label{thm: main theorem}
	For any number field $K$ not containing $\QQ(i),$ there exists an elliptic curve $E$ defined over $K$ such that $\Sha (K,E)[2]\neq 0.$
\end{thm}

	\begin{footnotesize}
		\noindent\textbf{Acknowledgements.} The author would like to thank D.S. Wei, Y. Xu and C. Lv for many fruitful discussions.  The author is grateful to B. Poonen and anonymous referees for their valuable suggestions. The author was partially supported by NSFC Grant No. 12071448.
	\end{footnotesize}

\begin{bibdiv}
	\begin{biblist}

		\bib{Cl09}{article}{
			author={Clark, P.~L.},
			title={Curves over global fields violating the hasse principle},
			date={2009},
			journal={Preprint, arXiv:0905.3459 [math.NT]},
		}

		\bib{CTS21}{book}{
			author={Colliot-Th\'el\`ene, J.-L.},
			author={Skorobogatov, A.N.},
			title={The {B}rauer-{G}rothendieck group},
			series={Ergebnisse der Mathematik und Ihrer Grenzgebiete},
			publisher={Springer-Verlag},
			date={2021},
			volume={3. Folge, 71},
		}

		\bib{Gr68II}{book}{
			author={Grothendieck, A.},
			title={Le groupe de {B}rauer {II}: {E}xemples et compl\'ements. {I}n},
			subtitle={Dix expos\'es sur la cohomologie des sch\'emas},
			language={French},
			series={Advanced Studies in Pure Mathematics},
			publisher={North-Holland},
			date={1968},
			volume={3},
			note={pp. 66-87},
		}

		\bib{Ha94}{article}{
			author={Harari, D.},
			title={M{\'e}thode des fibrations et obstruction de manin},
			date={1994},
			journal={Duke Math. J.},
			volume={75},
			pages={221\ndash 260},
		}

		\bib{Ha97}{book}{
			author={Hartshorne, R.},
			title={Algebraic geometry},
			series={Graduate Texts in Mathematics},
			publisher={Springer-Verlag},
			date={1997},
			volume={52},
		}

		\bib{Li40}{article}{
			author={Lind, C.-E.},
			title={Untersuchungen {\"u}ber die rationalen {P}unkte der ebenen
				kubischen {K}urven vom {G}eschlecht {E}ins},
			language={German},
			date={1940},
			journal={Thesis, University of Uppsala},
			volume={1940},
			pages={97},
		}

		\bib{LW54}{article}{
			author={Lang, S.},
			author={Weil, A.},
			title={Number of points of varieties in finit fields},
			date={1954},
			journal={Amer. J. Math.},
			volume={76},
			pages={819\ndash 827},
		}

		\bib{Ne99}{book}{
			author={Neukirch, J.},
			title={Algebraic number theory},
			publisher={Springer-Verlag},
			date={1999},
		}

		\bib{Po10a}{article}{
			author={Poonen, B.},
			title={Curves over every global field violating the local-global
				principle},
			date={2010},
			journal={J. Math. Sci.},
			volume={171},
			number={6},
			pages={782\ndash 785},
		}

		\bib{Re42}{article}{
			author={Reichardt, H.},
			title={Einige im {K}leinen {\"u}berall l{\"o}sbare, im {G}rossen
				unl{\"o}sbare diophantische {G}leichungen},
			language={German},
			date={1942},
			journal={J. reine angew. Math.},
			volume={184},
			pages={12\ndash 18},
		}

		\bib{Se51}{article}{
			author={Selmer, E.S.},
			title={The {D}iophantine equation $ax^3+by^3+cz^3=0$},
			date={1951},
			journal={Acta Math.},
			volume={85},
			pages={203\ndash 362},
		}

		\bib{Se73}{book}{
			author={Serre, J.-P.},
			title={A course in arithmetic},
			series={Graduate Texts in Mathematics},
			publisher={Springer-Verlag},
			date={1973},
			volume={7},
		}

		\bib{Si09}{book}{
			author={Silverman, J.},
			title={The arithmetic of elliptic curves},
			series={Graduate Texts in Mathematics},
			publisher={Springer-Verlag},
			date={2009},
			volume={106},
		}

	\end{biblist}
\end{bibdiv}

\end{document}

		 \bibliographystyle{alpha}

redpajama_set_name: RedPajamaArXiv


On Tuesday, Niagara County Legislator Clyde L. Burmaster recognized The Sentinel for the positive impact it has had in the community for the past 30 years. At the Niagara River Region Chamber of Commerce office, Burmaster gave out a proclamation to The Sentinel publishers, Skip Mazenauer and his wife, Judy Mazenauer, and one each for Editor-in-Chief Terry Duffy and Managing Editor Joshua Maloni.
Burmaster said newspapers rarely receive proclamations. He saluted The Sentinel for being an honest newspaper and a reliable source of information.
Pictured, from left: Jennifer Pauly (Chamber of Commerce president), Maloni, Judy Mazenauer, Burmaster, Skip Mazenauer and Duffy outside of the Chamber of Commerce office in Lewiston.


text:
<?php

namespace Tests\AppBundle\Controller;

use Symfony\Bundle\FrameworkBundle\Test\WebTestCase;

class DefaultControllerTest extends WebTestCase
{
    /**
     * Test landing page
     */
    public function testLandingPage()
    {
        $client = static::createClient();

        $crawler = $client->request('GET', '/');

        $this->assertEquals(200, $client->getResponse()->getStatusCode());
        $this->assertContains('Login', $crawler->filter('#login a')->text());
    }
}

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New Wave Pattern (Hard Copy) by Libs Elliott. 12 Pages. The Libs Elliott New Wave Quilt is a super colorful quilt that can be made two different ways, in 4 different sizes. Use with Libs' Mixtape fabric collection (Andover Fabrics) or customize your own using the included coloring worksheets.


A few years ago I made several EFHW both the main station use and for /P. Unfortunately all that material from those projects has been lost. The good news is I am starting again and have a 20M EFHW at the house and am making the portable version again.
More information and photographs to follow.


text:
Oct 1, 2020 eBay
eBay Inc. To Report Classifieds Business as Discontinued Operations and Releases Updated Historical Financials
During the third quarter of 2020, eBay Inc. announced that it had entered into a definitive agreement to transfer its Classifieds business to Adevinta and determined that it met the criteria for the classification of held-for-sale accounting and discontinued operations.
SAN JOSE, Calif., Oct. 1, 2020 — During the third quarter of 2020, eBay Inc. (Nasdaq: EBAY) announced that it had entered into a definitive agreement to transfer its Classifieds business to Adevinta and determined that it met the criteria for the classification of held-for-sale accounting and discontinued operations. Accordingly, Classifieds' financial results will be reflected in eBay's condensed consolidated financial statements as discontinued operations beginning in the third quarter of 2020. Please refer to the 8-K filed today for a restatement of historical financial results.
Cautions Regarding Forward Looking Statements
Certain statements herein are "forward-looking statements" within the meaning of Section 27A of the Securities Act of 1933, as amended, and Section 21E of the Exchange Act. Such forward-looking statements are often identified by words such as "anticipate," "approximate," "believe," "commit," "continue," "could," "estimate," "expect," "hope," "intend," "may," "outlook," "plan," "project," "potential," "should," "would," "will" and other similar words or expressions. Such forward-looking statements reflect eBay's current expectations or beliefs concerning future events and actual events may differ materially from historical results or current expectations. The reader is cautioned not to place undue reliance on these forward-looking statements, which are not a guarantee of future performance and are subject to a number of uncertainties, risks, assumptions and other factors, many of which are outside the control of eBay. The forward-looking statements in this document address a variety of subjects including, for example, the closing of the transaction pursuant to which eBay will transfer certain subsidiaries which operate its Classifieds business (the "Transaction") and the potential benefits of the Transaction. The following factors, among others, could cause actual results to differ materially from those described in these forward-looking statements: the possibility that regulatory and other approvals and conditions to the Transaction are not received or satisfied on a timely basis or at all; the possibility that eBay may not fully realize the projected benefits of the Transaction; changes in the anticipated timing for closing the Transaction; business disruption during the pendency of or following the Transaction; diversion of management time on Transaction-related issues; the reaction of customers and other persons to the Transaction; and other events that could adversely impact the completion of the Transaction, including the ongoing COVID-19 pandemic and other industry or economic conditions outside of our control. In addition, actual results are subject to other risks and uncertainties that relate more broadly to eBay's overall business, including those more fully described in eBay's filings with the Securities and Exchange Commission ("SEC"), including its annual report on Form 10-K for the fiscal year ended December 31, 2019 and subsequent quarterly reports on Form 10-Q. The forward-looking statements in this document speak only as of this date. We undertake no obligation to revise or update publicly any forward-looking statement, except as required by law.
Topic: Announcements
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Q: Datatables header align when sidebar is collapsed: trigger class change I'm using datatables with scrollY actived and AdminLTE2 theme:
acquisitionTable = $('#acquisitionsTable').DataTable({
            responsive: true,
//          "bLengthChange": false,
            deferRender:    true,
            scrollY:        '60vh',
            scrollCollapse: true,
            scroller:       true,

the problem is the header align when sidebar is collapsed

and this problem is widespread but all the solutions that I tryed have failed.
I thought to call acquisitionTable.columns.adjust(); but how can I catch the collapse and expand events?
This is the sidebar:

                 Online

MAIN NAVIGATION

  Dashboard

  Administration
                    5
....

From the documentation (and I check it with debug mode) when the sidebar is collapsed the class .sidebar-collapse is added to body tag.
Thanks

A: At the moment I fixed the problem with this code:
divW = jQuery("#contentAreaId").width();
setInterval(function(){
    var w = jQuery("#contentAreaId").width();
    if (w != divW) {
        acquisitionTable.columns.adjust();
        divW = w;
    }
},100);

A: Have you tried css min-width option, such as :
.dataTables_scrollHead table {
    min-width: 100%;
}

also you may want to add :
table-layout: fixed;

redpajama_set_name: RedPajamaStackExchange


The Neonatology Unit at Al Zahra Hospital Sharjah has a 12 bedded NICU capable of handling Preterm babies more than 22 weeks gestation, Babies with Respiratory distress, Neonatal seizures, Birth asphyxia, Neonatal jaundice and Neonatal Sepsis. NICU has provision of two Isolation rooms.
Baby Friendly Hospital where Doctors and Nurses focus on Mother's milk and assist in Lactation management.


How to stop scamming in the translation sector?
Beware scammers are next door!
On their website 'Translator Scammers Directory' have been listing scammers since 2013, Slator reports. At the time I am writing the article, over 5050 scammers are listed! Scamming is a big issue.
Right now, you can read the names used by scammers, their email, and the name of our unfortunate scammed colleagues worldwide.
As you probably know, Proz is also offering a notification service to share scamming attempt. No need to be a paid user to get the notification. Trust me, by subscribing to the service will prevent you from uneasy moments.
I once had a bad experience, when I was ordered a wonderful project -too good to be true in fact. I soon realized that something did not sound clear, and I was right. I received a check with a large amount, much higher than the advance payment. What a surprise, when a) I read that the drawee was a company located in my region in France, b) the bank was a French one (they have an office close to my house), although the client was in a foreign country. Moreover the signature did not correspond with his name. The bank agency confirmed the French company reported they were stolen check books some months ago. This was an ordinary scam affair! Immediately I emailed the 'client' that I wanted to stop the project. Then, the scammer began sending threatening emails. This stage was really difficult, I felt vulnerable.
Dear colleagues do not hesitate to share scamming notifications in your professional groups. Being scammed is not a shame!
I wish you a New Year filled with prosperity, joy, and contentment!


Well, that's one response I was not expecting! Not to my taste, frankly... but, as The Sandmonkey (among others) have pointed out, it shows an undeniable Jewish sense of humor about the whole cartoon kerfuffle (and the Muslim response to it). "We'll show the world we can do the best, sharpest, most offensive Jew hating cartoons ever published!" said Sandy. "No Iranian will beat us on our home turf!"
Anyone want to take bets on the chances of a similar Iranian contest?
And no, I have no intention of contributing to this contest. But I wish Amitai Sandy well. After all, the stated intent of the Iranian Holocaust-cartoon contest is to "prove" that the West isn't as devoted to free press as it claims. I enjoy the thought of showing that, yes, the Western world is willing to go a lot farther than Iran is.
In an NPR interview on the subject, Amitai points out that the Iranians would never dare hold an anti-Arab cartoon contest... because they're lacking the self-confidence to publicly ridicule themselves (or their Muslim brethren in this case). An Israeli antisemitic cartoon contest, on the other hand, barely qualifies as news!!
Wow. What a crazy world we live in. And thank God for the crazies with a sense of humor.
UPDATE II: Here's a great Dutch animation, titled "Gevoelig" ("sensitive"). Hat tip: Michelle Malkin.
How is it possible that CNN does not see the blatant double-standard here? And how can CNN possibly justify this behavior to themselves, other than to admit that they are frightened of Muslims but not of Jews? And what does that admission do, to whatever shreds of journalistic integrity CNN might have left?


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Care Points: The Current State of Point of Care Diagnostics
Speed, convenience, and cost are driving innovation in the global point-of-care market.
Microfluidics has driven advancements in blood glucose strips, lateral flow assays, and immunoassay diagnostics. Image courtesy of 3M.
Preco Inc.'s new FlexStacker. Image courtesy of Preco Inc.
Abbott & NIH Team Up to Advance Neuroscience Research
Abbott Launches Next Gen of the World's First Smartphone-Compatible Implantable Heart Monitor
Abbott, DoD, and TRACK-TBI Partner to Study PoC Test for Concussions
Late-Breaking Analyses from Landmark COAPT Trial Show Benefits of Abbott's MitraClip
Abbott's Alinity m Diagnostics System and Assays Gain CE Mark
Michael Barbella, Managing Editor06.13.19
Chris Troyanos knows his place among marathoners.
For more than four decades, he's walked the delicate line between love and hate, acting as the yin to runners' yang, the moon to their sun. He's friend and foe wrapped in one—a prize to some, a persona non grata to others.
Troyanos, 62, owns Sports Medicine Consultants Inc., a 23-year-old Plymouth, Mass.-based firm that provides medical management, onsite medical care, and volunteer recruitment services for large-scale athletic events. A certified athletic trainer, Troyanos has coordinated and supervised medical coverage for dozens of sizable races throughout the United States and Canada, including the grueling 26.2-mile Boston Marathon.
Coordinating medical coverage for New England's most widely viewed sporting event is quite the undertaking: Besides preparing for almost any running-related injury (shattered femurs, included) Troyanos also supervises 1,700 volunteer clinicians and the 28 medical tents along the eight-town route. The job requires some mastery of psychology as well, since no sprinter really wants to see Troyanos on race day.
"Runners need to understand what their limitations are and not try to push them," Troyanos told Boston Magazine last month. "Boston has a tendency for people to want to do their best. We get that. But if you're aware of your body's limitations and how you're feeling and don't push that, the likelihood is you're not going to see us in the medical tent."
Sound advice for sure, but Troyanos will likely always have company in the tents, thanks to a bipolar Mother Nature and an incredibly strong human spirit. Both forces have detoured droves of marathoners in recent years, forcing them to retreat under heated blankets or in ice baths, or to rejuvenate themselves via Gatorade or a bag of potato chips.
This year's casualty count was down from past races, despite the meteorological mayhem that ensued throughout the day (a bit of everything: clouds, wind, rain, lightning, sun). The Boston Athletic Association reported that 2,095 runners received medical attention along the route, with 950 of those participants undergoing treatment after the finish line and 77 runners eventually transported to area hospitals. Most of the injuries sustained during the race were minor (blisters, cramps, dehydration, hypothermia), though the sun's unexpected appearance generated a rash of heatstroke victims within a two-and-a-half-hour period.
"[When the] sun came out, all of a sudden [there were] probably about 30 or 40 exertional heat strokes on the course and in this tent," Troyanos divulged to WBZ-TV (CBS) after the April 15 race. "That's pretty significant. Those are very serious illnesses. We handled them well, everyone is doing great."
To ensure such a favorable prognosis, Troyanos used a handheld blood analyzation system from Abbott that produces lab-quality results within minutes from virtually any location. The company's i-STAT technology measures 26 different analytes (substances in the body), including cardiac markers, gases, chemistries/electrolytes, coagulation, lactate, and hematology, from just two to three drops of blood.
First released in 1992, the i-STAT system is designed specifically for use at various points of care—from radiology and emergency departments to the intensive care unit and the operating room. More than 75,000 i-STAT systems are currently in operation, according to Abbott, with one in three U.S. hospitals employing the device to increase efficiency and quality of care.
The technology, however, has become fairly prevalent outside the hospital too—the paradigm shift to value-based healthcare has helped propel the i-STAT's spread to outpatient clinics, doctor's offices, long-term care facilities, emergency services vehicles, and rural institutions. The U.S. and Indian governments have used the device as well.
Athletic trainers and sporting event coordinators are perhaps the i-STAT system's biggest fans, as the tool—evidenced by its presence at the Boston Marathon and numerous Abbott World Marathon Majors races—has helped legions of competitors return to play quicker than they would with conventional treatment.
"Without this portable tool, these runners showing signs of severe dehydration or hypernatremia would likely be transported to the hospital for diagnostic tests and follow up," said Dr. Paul Jarvis, director of global medical affairs for Abbott's point-of-care (POC) diagnostic business. "The fact that we can bring diagnostics right to the runner's side is truly the power of [the i-STAT]. It's wonderful for runners to have access to a tool like this that can help with very quick treatment. The power to finish the race is priceless. It's a big win for runners."
It's also been a big win for Abbott, adding hundreds of millions of dollars to the multinational's coffers and bolstering its share of the fast-growing global POC diagnostics/testing market, valued at $18.09 billion last year. Grand View Research data show this sector expanding 3.3 percent annually through 2025, with cancer marker testing growing at a higher pace over the forecast period due to a sharp rise in malignancies and the development of home testing kits.
Those same factors are expected to shape the POC diagnostics/testing market for years to come as an aging world population grapples with the various hellions of maturity—namely, cardiac disease, diabetes, Parkinson's disease, and Alzheimer's. Demand for home-based diagnostic devices and wearables as well as technological advancements that beget faster, easier-to-use products also are likely to drive market growth.
Such advancements are quickly coming to bear. Abbott, for example, has released newer, improved i-STAT models with Cloud connectivity, 2D barcode tracking ability, customizable range settings, and upgraded software. One of the versions—the i-STAT Alinity—was specifically designed for clinicians: The easy-grip handled tool offers on-screen guidance during the testing process and can identify both problems and potential solutions in real time; additionally, audio and light cues alert users to critical range test results that require immediate action. Moreover, the i-STAT Alinity is built for future sustainability.
"It was built to be 'future-proofed,' meaning it's compatible with a variety of testing cartridges, including those designed for our current i-STAT platform, as well as tests that will be developed in the future," Narendra Soman, Ph.D., R&D director for Abbott's Point of Care Diagnostics business, noted in a company-sponsored Q&A about the Alinity. "In fact, we've designed i-STAT Alinity with the ability to add more testing cartridges and capabilities over time, such as ones that may be developed in the future, like [those] for concussion, blood clotting, or molecular tests, allowing healthcare providers to conduct an even broader range of important tests with one handheld platform."
Abbott currently is working on one such future assay, having charged more than 120 of its scientists to develop a brain injury blood test for the Alinity. The test would measure levels of glial fibrillary acidic protein (GFAP) and ubiquitin C-terminal hydrolase L1 (UCH-L1), biomarkers typically released from the brain into the bloodstream after a head injury. Plasma concentrations of these proteins can indicate whether patients with head injuries suffer from intracranial lesions (brain bleeds).
Currently, intracranial lesions are detectable only through computed tomography (CT) scans—effective yet costly procedures that produce potentially harmful ionizing radiation. Blood tests like the FDA-cleared Brain Trauma Indicator from Alachua, Fla.-based Banyan Biomarkers Inc. certainly can help reduce healthcare costs and radiation exposure risk, but they are not without their own limitations. Case in point: Banyan's test is nearly 99 percent accurate but must be administered within the first 12 hours after injury, and results take three to four hours.
Contrarily, Abbott's proposed solution would produce results within minutes. Ironically, Abbott has enlisted Banyan's help with its solution, licensing the smaller company's traumatic brain injury (TBI) blood biomarkers—UCH-L1 and GFAP—for use on its core laboratory instruments. The U.S. Department of Defense (DoD) and the Transforming Research and Clinical Knowledge in Traumatic Brain Injury (TRACK-TBI) Network are lending support as well: Both organizations have partnered with Abbott on a clinical trial to evaluate the efficacy of the company's POC blood testing technology. As part of the trial, researchers will evaluate suspected TBI patients within 24 hours of injury and compare their blood test results against traditional clinical assessments, CT scans, magnetic resonance imaging scans, and clinical outcomes.
"Whether on the battlefield or in the emergency room, we need quick and accurate information to help assess a person who may have sustained brain injury," Geoffrey T. Manley, M.D., Ph.D., principal investigator of TRACK-TBI, neurosurgeon and neurosurgery professor at the University of California-San Francisco, said upon announcing the network's partnership with Abbott in late April. "Our goal with this partnership is to validate the scientific rigor behind new technologies like this blood test, and how they can help ensure the best care for our troops and patients."
Those validation efforts are a bit belated, though. Boston-based BioDirection Inc. already has proven the efficacy of its Tbit POC blood test for concussion diagnosis and earlier this year secured FDA breakthrough device designation for the prediction of positive CT scans after TBI. Like Abbott, BioDirection's assay measures protein biomarker levels after head trauma, but calibrates the amount through patented biosensing nanowire technology. The company claims its system is highly sensitive and can deliver objective results within 90 seconds from a single drop of blood.
A preclinical study completed in 2017 concluded the Tbit System provides actionable outcomes in POC settings and can potentially reduce the number of unnecessary CT scans by more than 40 percent. The trial evaluated the Tbit System's ability to screen TBI patients for a CT positive or negative test; results showed a 100 percent sensitivity with no false negative results, and a 41 percent specificity level.
"Blunt trauma injuries that impact the head and brain require rapid identification of comorbidities to rule out or confirm the potential of intracranial hemorrhage that may require some form of surgical intervention," Brian McGlynn, founder and chief technical officer of BioDirection, said when the Tbit System received its Breakthrough Device Designation. "The Tbit System has the potential to deliver actionable information to the physician where minutes matter. Longer term, our technology has the potential to support a full continuum of care ranging from stratification of injury, prognosis and return to play and activity."
Indeed, injury classification, rapid diagnosis, and lifestyle maintenance wield major clout in the POC product development arena, as they help empower real-time caregiver collaboration, improve treatment access, and enrich patients' overall experience. These Muses also can engender optimized workflows, better healthcare delivery accountability/transparency, and lower costs—factors that are key to survival (and success) in today's value-based ecosystem.
POC technologies reduce healthcare expenditures in various ways, the most obvious of which is speedy diagnoses. Quick (sometimes instantaneous) results spare hospitals and clinics from incurring equipment expenses (no syringes, blood collection tubes needed), as well as transportation, storage, and separation (centrifuging) costs.
POC systems also can save healthcare dollars by alleviating the economic burden of disease and increasing patient survival rates in resource-poor areas. The Massachusetts Medical Device Development Center (M2D2) is addressing the former issue (disease burden), having created a new center to help U.S. entrepreneurs develop and commercialize POC technologies for heart, lung, blood, and sleep disorders; industry data show these conditions account for 41 percent of U.S. deaths and cost the nation's healthcare system $400 billion annually.
Supported by a five-year, $7.9 million grant from the National Heart, Lung and Blood Institute, the new entity—appropriately dubbed the Center for Advancing Point-of-Care Technologies (CAPCaT)—will facilitate entrepreneurial partnerships between private industry and academia (UMass-Lowell, UMass Medical School). The center is one of four being launched with National Institutes of Health support to improve patient care and will provide inventors with both seed funding and access to numerous stakeholders, including patients, caregivers, and clinicians.
Examples of innovations to be developed at the center include portable devices and sensors to measure medication amounts in blood, products employing smart devices to record heart or respiratory rates, and technologies that alert patients to health changes such as worsening asthma. The center also seeks to support technologies that promote holistic methods to managing diseases, including devices that measure stress levels or promote mindfulness.
"The new business accelerator will facilitate collaborations between faculty researchers and private industry to commercialize new technologies more quickly and efficiently," M2D2 Co-Director Nate Hafer, Ph.D., director of operations at UMass Center for Clinical and Translational Science at UMass Medical School, said in unveiling the CAPCaT initiative last fall. "The goal of these new tools is to help clinicians and healthcare systems deliver higher quality care at a lower cost."
That's quite a tall order, considering the two are still somewhat mutually exclusive. But better care certainly can help lower overall health expenses, particularly in remote areas of the world with limited access to medical testing and treatment.
In sub-Saharan Africa, for example, resources to diagnose and treat conditions like HIV, sickle cell disease, tuberculosis, hepatitis B, and emerging infections (Ebola, SARS) are virtually non-existent. POC technologies, however, can offer healthcare practitioners a relatively inexpensive way to screen and treat large swaths of underserved populations, thereby helping to mitigate global disease epidemics and ease the financial strain on government health systems.
Los Angeles-based diagnostics developer Silver Lake Research Corporation is targeting the sickle cell scourge with its HemoType SC, an assay that works similar to a pregnancy test. HemoType features test strips containing proteins that can detect abnormal amounts of hemoglobin polypeptides in whole blood. The test also can identify the sickle cell trait, which is present in people who inherit one hemoglobin S or C gene and one normal hemoglobin A gene.
Abbott, meanwhile, is focusing its disease control efforts on hepatitis B and HIV, recently winning CE mark and World Health Organization (WHO) sanctioning of POC diagnostic tests for both diseases. The company received CE mark approval in February for its Determine HBsAg 2, a rapid diagnostic test for hepatitis B virus detection in serum, plasma, or whole blood. Boasting an analytical sensitivity of 0.1 IU/mL, Determine HBsAg 2 verifies the presence of HBV infection in 15 minutes.
Abbott is confident its Determine BHsAG 2 assay will be a critical part of the global battle plan against hepatitis B. WHO has set baseline targets to diagnose 30 percent of HBV-infected individuals by 2020 and 90 percent by 2030.
The agency has set equally ambitious targets in its fight against HIV: It recommends those receiving antiretroviral therapy (ART) undergo a viral load test at six and 12 months, and annually thereafter to monitor for treatment failure. Such monitoring is difficult for people in developing countries or remote areas, though.
Abbott, however, is attempting to increase access to ART monitoring through its CE-marked m-PIMA HIV-1/2 VL, a portable test designed specifically for use in "resource-limited settings." Granted Prequalification approval by WHO in early May, the assay is a quantitative nucleic acid amplification test for viral load measurement of HIV type 1 groups M/N and O, and HIV-2 in plasma samples. The test produces results in 70 minutes, which allows for immediate treatment decisions and reduces the number of patients lost to follow-up, according to Abbott.
"In vitro and point-of-care diagnostic tests are becoming more critical to the healthcare space generally. The developing world and the need for lower-cost [diagnostic] tests are going to drive the market," noted David Franta, leader of the Microfluidics Global Business in 3M's Medical Solutions Division. "Molecular diagnostic testing is of particular interest right now. It has quite a bit of capability from a specificity standpoint and sensitivity that other tests don't, so there's a lot of people looking into molecular testing and saying, 'That may be an area where there will be some significant growth.' Molecular tests can include infectious disease testing such as flu A/B or other pathogens—there is a big market already there. With molecular diagnostics, the technology can be applied in multiple places, and depending on the probes you are looking to develop, it can be applied to many different disease states."
Molecular diagnostics technology can be applied in various ways, too. One approach entails microfluidics— the study of fluid manipulation in "microchannels." This discipline increasingly is being summoned for POC innovations due largely to its portability, low sample and reagent consumption, high throughput and sensitivity, large surface-to-volume ratio, and other miniaturization-related benefits.
Some of the more predominant POC microfluidic applications are lab-on-a-chip/lab-on-a-disc and blood glucose test strips. Though various types of strips have been developed over the last several decades, they all work the same way: Blood reacts with an enzyme (glucose oxidase) on the strip to produce gluconic acid as the glucometer sends a current through the portion of the strip attached to the device. Using the electric terminals on the strip, the meter measures the current; the amount of gluconic acid produced from blood glucose determines the amount of current generated between the terminals. The meter then uses an algorithm to calculate the blood glucose level based on the difference in current.
Microfluidic test strips and cartridges must be precisely manufactured and cost-efficient to compete and survive in the market. The largest expenses for microfluidic technology are material and machining costs.
Preco Inc. is reducing machining costs through its FlexStacker, a custom-build piece of equipment introduced last year that laminates and assembles multiple layers to create an aligned, precisely registered and stacked microfluidics testing device (lab-on-a-chip). The system removes any discrepancies encountered in hand or blind lamination, and removes many of the necessary steps involved in single robot stacking.
"With four stack-up stations, an inline press, and three cameras per placement head, the FlexStacker was specifically designed with microfluidics in mind," explained Kim Hill and Terry Rusch, director of medical sales and senior project engineer, respectively, at Preco, a Lenexa, Kan.-based contract manufacturing service provider offering laser cutting, scoring, perforating, welding, cladding, heat treating, and die cutting services.
"Cards can be fully assembled in an enclosed clean environment via four different robotic placement heads. Each of these placement heads has three cameras to achieve the best alignment possible between layers," the pair continued. "If the card is larger then four layers, we simply assemble the first four layers and run it through the FlexStacker as needed until all the needed layers are assembled. Cost efficiencies are a major factor and is equal in importance to performance requirements."
Early design input is just as important, though, as it can help accelerate time to market and provide device manufacturers with new ways to treat age-old health issues.
"With some of the leading-edge device designs, the sooner that 3M is involved in the process, the better the outcome could be," 3M's Franta advised. "A lot of times a customer may have our material and has created a device that works, but if they involve us earlier in the process we may help with differentiated solutions. Early on in the development process is key, because there's usually more than one way to solve a problem. 3M can work with a designer to either come up with work-arounds to make a device perform, or come up with a novel idea that is a differentiated solution and could help improve the performance or reduce costs."
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Widening Scope: An Endoscopy Device Report
Minimally invasive surgical techniques and AI are spawning advancements in endoscope design and function.
Michael Barbella, Managing Editor 06.02.21
Outward Appearance: Reviewing Surface Treatment Options
Surface modifications and coatings imbue medical devices with a slew of valuable properties.
Sam Brusco , Associate Editor 04.01.21
Diagnostic Desperation: A Look at IVD Trends During COVID-19
Diagnostics manufacturers and supply chain partners have adapted to accommodate the enormous demand for COVID-19 tests amid disrupted operations.
Resourceful Resources: Materials Make a Difference During the Pandemic
Materials science has proven itself invaluable throughout the coronavirus pandemic.
Surface Service: Examining Coatings and Surface Treatment
Coatings and surface treatment experts can create significant value by altering the outer layer of a medical device.
Mark Crawford, Contributing Writer 07.21.20
A Matter of Substance: Medical Device Materials
Medtech manufacturers are leveraging cleaner, more lightweight materials to meet increasing demand for home healthcare solutions and wearable devices.
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Delivering the Goods: The Evolving World of Combination Products
This extremely diverse market fosters relationships between medical device and pharmaceutical companies.
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Exact Science: A Micromolding Roundtable
In-vitro diagnostics and a shift toward point-of-care devices are creating a growing need for micromolded components.
Cardiovascular | Contract Manufacturing | Diagnostics | Digital Health | Electronics | Neurological | Patient Monitoring | R&D & Design
Customized Connections: A Discussion on Custom Electronics
Demand for more complex, traceable, integrated solutions are driving innovation in the fast-changing medical electronics market.
Beyond the Surface: Examining Coatings and Surface Treatment Options
Advancements in coatings technologies enable greater benefits to manufacturers for their devices.
Cardiovascular | Contract Manufacturing | Diagnostics | Molding | Surgical
Once or Again? Single-Use Products Are Gaining Attention
Bolstered by recent study findings and their infection control prowess, the single-use device market is primed for growth.
Materials | R&D & Design
Sum and Substance: Material Considerations for Changing Design Needs
Material science and medical device development have a symbiotic relationship; advancement in one encourages innovation in the other.
3D/Additive Manufacturing | Contract Manufacturing | Machining & Laser Processing | Materials
Smooth Operator: Addressing Machining's Talent Gap
Skilled machinists must be cultivated through education and apprenticeships to gain complete knowledge of their tools and craft.
3D/Additive Manufacturing | Materials
Additive Manufacturing: A Tool for Driving Innovation
Production applications for additive manufacturing are growing, but there are considerations to keep in mind.
Tom Fripp, Founder and Managing Director, Addition Design & Research 01.30.19
Diagnostics | Surgical
Past Dues: Medtech's 2018 Year in Review
The industry confronted old ghosts in 2018 as it defended itself against a documentary and crammed for regulatory changes.


text:
Truth's Last Bastion
Op-Ed: This Is America
Eric StrikerMay 29, 2020 | 1010 words 5,692
MORE:Current Events
In the last month, the left and the right have erected an evermore complicated game of twister for white people to play.
The McMichaels must be punished for going beyond dialing 911. Amy Cooper must be punished for dialing 911. Derek Chauvin must be punished for being 911, and having a violent felon who did too much cocaine and had a heart attack die during apprehension. A white small business owner accepts 911 is useless and shoots looters coming into his store during a race riot -- he too must go to the gallows. It's rigged so you always lose.
Not a single right-wing platform, figure or politician will defend their rights or tell their side of the story. This Is America.
The asymmetrical nature of American power keeps both the left and the right in permanent political confusion.
Why is Mayor Jacob Frey actively encouraging the mobs burning down his police department's precinct? Why is the President of the United States reduced to impotently begging Yoel Roth to let him tweet? Why has Trump decided to let Minneapolis burn as he cowers under his desk inside the White House, all while the NYPD under "woke" Bill De Blasio viciously brutalizes people protesting for the same cause? Traditional understandings of how power is brokered and administrated do not apply.
There is bipartisan support -- Dianne Feinstein, Jerrold Nadler and Lindsay Graham -- to have hearings on how to make it so that black men are not subjected to law enforcement, but only when they have a dispute with a white person. There was no urge for restraint or racial sensitivity when Mayor De Blasio ordered the NYPD to subject the black neighbors of Brooklyn Jews to the same conditions Palestinians next to West Bank settlers are under.
The two Jewish Democrats and Lindsay Graham are among the most hawkish Zionists in Congress. If they were interested in ending police brutality, they would oppose the Anti-Defamation League's "deadly exchange" program that trains thousands of American police officers in Israel on how to violate our civil rights like they do to Palestinians.
A perfect example was the senseless murder of a young white man who was asleep in his bed and had no criminal record. He was executed by the Montgomery County Police Department, which is trained by Israel. Police killings like this do not start conversations or lead to Congressional hearings, and under the current system, they never will.
We are on the cusp of graduating from four years of Trump University. The Trump administration and Republican Party has created the present circumstances by sucking up all the oxygen out of white organizing and then using the opportunity to pin our arms back as the Bill Barr Department of Justice sends the FBI to investigate "hate crimes" based off nothing but the color of the skin of the man who had no choice but to fire his gun when a black criminal tried to take it from him. The prosecutors who obeyed objective legal protocols and didn't charge them are under investigation too.
As the American empire declines, it begins to grow more brutal against its domestic enemy: white people who just want to be left alone. Depoliticization is no longer an option, nor will it keep you safe.
That Donald Trump and Mike Pence have speech writers programming them to engage in discourse that until very recently was only reserved for the most extreme campus Black Lives Matter organizer demonstrates the absurd banality of investing oneself in "left" vs "right" partisanship.
There is only one group in charge, and whatever prefabricated ideologies they promote to you is merely a cover for the preservation of their power and interests. We do not have to use their language, respect their taboos, or otherwise make ourselves palatable to them. We have a moral right to dignity and existence.
All white people are targets, no white person can expect either of the existing parties to the rescue. When November comes around, we must vote no-confidence. This is America, and its system is out to destroy you.


Bottom line: Despite Facebook's outward appearance, it is far more than a mere social media platform. Indeed, one of its subsidiaries -- PointView -- could be working on something completely different: space lasers designed to communicate with satellites hovering in Earth's orbit.
In theory, this tech would pave the way for faster data transfer speeds than traditional radio signals, while also boasting some major security improvements (it's much harder to hack a laser, after all).
What Facebook plans to use PointView's work for is unknown, but it's possible that the company hopes a laser communication system will help it bring high-speed internet to areas that don't already have it.
Speculation aside, what actual evidence is there that PointView (and Facebook) is working on such tech? Construction documents obtained by Spectrum IEEE reveal that PointView has been building two "detached" observatories on Mount Wilson in California for some time now - development allegedly began as early as July 2018.
Though the exact contents of those observatories have not yet been disclosed, all tertiary evidence seems to point toward communication-oriented space lasers. Previous tests conducted by Facebook that utilized similar technology have been successful in the past, and scientific papers published by some of Facebook's top researchers throughout 2017 and 2018 describe "orbital laser" technology.
Regardless, we'll know what PointView is truly working on when it launches its project -- codenamed "Athena" -- sometime in the coming months.


Supplied by Nestle, these goodies will sure to be a hit with your guests.
We best describe these lollies as Lozenges.
We recommend this Confectionery for Corner Shop / Take-Away / Deli / Mini Mart,DVD Shop,Entertainment Venue (ie. Luna Park).
You will be left wanting more of this confectionery as the delectable flavour of Butter sets in.


The Eastern regional police command has arrested five persons in connection with the fatal robbery attack on Chinese Nationals Undertaking One -District -One Factory Project at Asuboi in the Ayensuano District of the Eastern region leading to the death of one of the expatriates Identified as Song Zhao Sheng, 58.
The suspects, Yegbe Saviour, Richard Offei, Kwaku Djin, Dennis Atta Kwabena Snr and his twin brother, Daniel Atta Kwabena Jnr, allegedly attacked the Chinese contractors who were working on the 1District-1Factory project in the community.
The suspects during the attack allegedly struck the head of one of the contractors with a moulded cement block killing him instantly.
According to the police, the suspects who made away with money and other items belonging to their victims were arrested at separate hideouts.
The Public Relations Officer of the regional police command, DSP Ebenezer Tettey said on Monday, 15 April 2019 that: "When we arrested them, we retrieved some mobile phones and some dry leaves suspected to be Indian hemp from their custody.
"We're aware these Chinese nationals were not only robbed but mobile phones and laptops were also taken from them. So, investigations are ongoing, we want to try as much as possible, to link this persons to what happened there and then we take it from there.
"But they've been arrested based on reasonable suspicion because they went to the place, and that evening, the robbery took place. As it is now, we have not concluded our investigations but I can tell you on authority that they'll be remanded into police custody to enable the police to conduct further investigations into the matter", he told Accra-based Citi FM.
DSP Tettey also assured the public of the service's protection for the Chinese contractors while they work on the project.
"Moving forward, we're going to ensure that, at least, we provide them with security to go about their duties, especially while they're putting up the factory, which will, in the long run, provide a lot of job opportunities for people in and around Suhum."he indicated.


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