text:
Wireless Road Tolls and Metrolinx
April 6, 2008 | By David Pal
In this month's Toronto Life, Phillip Preville pens a fascinating article Toronto's congestion problems, including an interview with Metrolinx chairman Rob MacIsaac. The piece is ostensibly about congestion, but quickly leaps to the means of reducing it: road pricing.
One of the more interesting methods being considered by Metrolinx goes well beyond traditional road tolls or congestion pricing.
A Toronto company called Skymeter Corporation has developed wireless satellite systems that make it possible to record a vehicle's every move, including its parking times and locations, making both toll booths and parking meters obsolete. Skymeter's system will soon be tested in the Netherlands, which plans to ditch standard road taxes and replace them with a nationwide per kilometre tax by 2016.
The system is infinitely tweakable for every conceivable detail. Different roads can be charged at different rates, and rates can vary by time of day. Fuel-efficient cars could be charged a lower rate than gas guzzlers. But perhaps the most practical application of the technology—and one being contemplated by MacIsaac—is a parking tax, which would help push cars off the road, since people will be less inclined to drive somewhere they can't afford to park. A parking tax is also easier to administer, and Skymeter claims it has the potential to generate more revenue than road pricing ever will.
The catch is that all cars would need transponders.
While Preville considers the idea to be politically unfeasible, the technology has generated interest in policy circles.
Still, planners and policy wonks like the idea of pricing the entire grid because they could charge people for all the car trips they should never make: the ones within three kilometres of their home, which they could comfortably walk or cycle. In other words, it would increase the cost of grocery runs or picking the kids up from school. It would also make things like pizza delivery radically more expensive.
There's more information on Skymeter at the company's website.
Photo by newyork808
Can we stop talking about congestion? It's not the point
Is it time for Canadian cities to think about road pricing? Put it to the people and find out.
Transportation tech bros need to listen to the Vision Zero folks
More posts by David Pal
This system is very interesting but whereas I don't think CCTV cameras are a big deal compared to the views of a few who post here, I can see people being alarmed about their movements being monitored in this case. Again, I would not have a problem with it.
I like the idea though that to use the transport pipeline has an immediate cost just like turning on a tap or a light switch. I also like the idea that there is a cost EVERY time one uses a car. I would still use my car when needed and I don't mind paying to do so.
The comparisons between hydro/water systems are apt. The roads have been a free utility – even though the cars cost a batch to run – it's still a function of overload as per the Tragedy of the Commons, though it's the atmospheric commons that are truly abused.
It's a great picture – near the GO trains and the FSE "fix" to this congestion. But our progressives never bothered to develop and compare a dozen transit options for this quarter-billion project, nor think of using a TDM system like Skymeter.
So we've had five years or more of inaction on this critical corridor from the City, but at least Ontario has been Smart, and has extended the GO trains to 12 cars for more congestion relief than either the FSE or the WWLRT, saving a few hundred million maybe.
Matt L.
Weird — I thought the missing link on road pricing was political will, not technology. The 407 transponder/camera system seems to work well, gas stations are already equipped to collect road charges based on fuel consumption, and paid parking lots could easily collect a parking tax. It seems foolish to latch onto a technology with such huge privacy implications when the non-Big Brother alternatives can be made to work nearly as well.
I agree that this sounds like a technology looking for a problem. This is not the only such example — with the kind of money Metrolinx is expecting to spend on transit, every carpetbagger on earth is trying to flog (sorry, promote) some wonderful new scheme.
Given the Ontario Privacy Commission's feelings about video cameras and tapes, I can just imagine what they would think of a system that could tell you where every car is and was at any instant.
The biggest problem with road pricing is that it assumes we have an alternative in place, and that's a complete myth.
If people want more money, then just raise gas taxes and license fees. Don't waste our time and money on complex technology we don't need.
What is the difference between a road toll on every road and a gas tax?
Mark G: Hundreds of millions of dollars in infrastructure and a costly as hell bureaucracy or private contract.
I'm against road pricing given the current state of our public transit system. GO Trains are bursting at the seams during rush hours, but outside of them, service is sparse or non-existent. The subways are equally crowded and inadequately cover Toronto's geography, streetcars suffer in congested traffic, there's no RT to Pearson, Transit City is still just a pipe dream.
Once better alternatives are in place, and the system has the capacity to handle new riders, then road tolls or congestion charges should be considered.
For now, Metrolinx should encourage more carpooling (more HOV lanes everywhere) and focus on improving GO Transit, including better integration with regional transit authorities.
Steve> how come the privacy Commissioner is not worried about cell phones ? THey basically can target our movements as is and people are clammering for the the new GPS phones which will take it to the next level; we take our cells everywhere which we cant do with our cars. Just a thought.
Erin Ridley
Mark C^ Isn't this a chicken/egg game you're playing? How do we pay for better transit without getting a new revenue source like road pricing?
hamish: "The roads have been a free utility(…)"
Not so for drivers who pay numerous hidden and explicit road taxes. Not so even for non-drivers who pay property taxes, a substantial percentage of which go to building and maintaining roads.
Matt L.: "gas stations are already equipped to collect road charges based on fuel consumption"
Gas stations are already collecting this money for the government in the form of fuel taxes. IIRC, 38% of the cost is taxes, according to those little stickers on PetroCan pumps.
Mark G.: "What is the difference between a road toll on every road and a gas tax?"
The difference is that the government would get to collect these new road tolls on top of the existing gas taxes. So they get two hands in drivers' pockets, instead of one.
I have to agree with the others here who would like to see public transit improved. You really can't punish people enough to make them stop driving when they have no practical alternative. But give them that alternative and the vast majority of drivers will abandon their cars so fast it'll make your head spin.
The difference between gas tax and road pricing is differential pricing. The 407 has differential pricing both against the free 401 and *within the same road* based on time.
A gas tax is a good way of raising revenue for overhead – MTO, snow clearing infrastructure – but doesn't do much for congestion since the tax doesn't lay much additional burden on those who drive to congested but transit provided neighbourhoods – they burn a bit more gas based on sitting in traffic so there is a minor hit.
As for the chicken/egg – you resolve it by borrowing enough money to both implement congestion pricing and add transit capacity in the congestion neighbourhood.
You use the proceeds from the charge to fund direct repayment on the overall loan as agreed with the lender. That way, you enable additional transit from day one and the people paying the charge know that the charge is funding transit rather than going into general revenue with the additional transit never appearing. Ideally the existing 407 billing systems would be transferred to MTO to operate all road pricing schemes in Ontario rather than people having multiple transponders/bills.
The extra buses – all hybrid to reduce downtown air pollution – could be prominently marked "Funded By Congestion Charge" to ensure visibility and the TTC/City Council barred from using them on routes wholly outside the charge area and other clawback of vehicle purchase commitments.
Friend68
Isn't the "catch" that the government would be sanctioned to watch your car's every move? I agree that it would be much simpler to rely on the taxes on gas — as that would also provide an additional incentive for the use of fuel-efficient vehicles.
Two suggestions to make this work.
First, publicly announce, and make sure to actually follow through with actions, that all of the funding will go to improving public transit.
Second, start improving public transit to anticipate the new pricing system, and start publicising the way the new pricing system works, two years (say) before bringing in the actual pricing. In other words, borrow against, or issue bonds in contemplation of, future congestion-priced revenue — approached conservatively — to invest in present-day transit improvements.
Ooh, just read Mark Dowling above. He said it much better than I.
Taxes make up a lower proportion of gas prices now that the price has increased to the $1/L area, because of the three taxes on gas, only the GST is proportional. The federal and provincial gas taxes are absolute (total about 25c/L). At a price of $1/L, taxes make up about 30%. If gas went up to $1.50/L, taxes would decrease to about 21% of that cost.
Political considerations aside, I see one big flaw in this technology: the 'every car needs a transponder' caveat.
What does 'every car' mean? Every car registered in the GTA? In Ontario? How do you keep those from outside the registered area from gaming the system, without making the area improbably huge? The 407 uses the licence-plate backup for this very reason; how would this satellite system compensate?
I am inclined to agree with Kevin (and Steve's first paragraph). We need to think carefully about major complicated technological schemes when there may be simpler, more effective, better enforced, and more cost-effective solutions. In-vehicle transponders works for 407 because it is opt-in, there is a fairly simple backup system (the cameras), it's on a limited network (cameras/transmitters only at interchanges) etc. In-vehicle transponders for GTA-wide mileage-based tolling would be much more complex, potentially needlessly so.
The advantage of using ETR transponders is that Toronto drivers who previously avoided 407 have an incentive to use it rather than 401 knowing they won't get one-off charges which are higher than transponder-equipped cars. Ottawa and other cities could then quickly roll out their systems and use the GTA billing back-end. ETR's billing system isn't perfect but with so many more users there would be incentive to get it right.
The provided example of wireless billing replacing plate taxes, Holland, has an area of 41526 sq. km and 16.4 million people. Ontario has an area of 1076395 sq. km, 26 times the size, and 12.7 million people. The logistics are far more challenging with a far lower density of road users.
Sounds like some people are advocating a big technological fix which if implemented will likely have some fairly hefty upfront costs (plus ongoing administration costs). Wouldn't it be better to invest these amounts in beefing up inter-regional transit systems so that we can get people out of their cars? As others above have pointed out, there are other ways of generating the revenue and discouraging driver behaviour without spending an arm and a leg to do so.


Torch's Rock & Roll Inferno will be featured at the Rodeo. Quite the unique venue, he has opened for bands such as Molly Hatchet, Warrant, LA Guns, and Moonshine Bandits.
Just another way one can enjoy camping in the beautiful Mountain Village at the Rodeo on Wheels this month.
Old Dog Promotions will be hosting the second annual Rodeo on Wheels Thursday, Sept. 20- Sunday, Sept.23.
The event is sponsored by Tony Bolden, John Amador and Dusty Beaver.
The event will offer enthusiastic riders to compete in several events while showing off their riding skills.
Rodeo on Wheels is at the Beaver Creek Rodeo Arena, 200 Beaver Road behind Circle K off U.S. Highway 70. There have been a few changes and additions made to this month's event and what riders and spectators can look forward to.
The process for planning the weekend long event took many months and Bolden had to obtain permits from the City of Ruidoso Downs to have over-night camping, live music and fire pits.
Participants will be able to dry-camp this time and allowed to have small fire pits. There will be Porta Potties and hand washing stations on site. The event will host several bands, many vendors at-hand for all that is motorcycles, competitions and bike judging contests.
Live music will be provided by The Mix, Homegrown Boys and Time to Burn. Rodeo on Wheels is having a scavenger hunt that's a new feature to it. Participants will be given a list of businesses to go to throughout the Village with questions to answer about that venue. There will be prizes given to those with the most correct answers.
"We thought this would make the weekend fun for those who show up. It will give them something more to do while they are here," Bolden said.
Local musicians performing during the May Rodeo On Wheels.
A new feature this time around will be Torch's Rock & Roll Inferno. Chad "Torch" Land, along with his assistant, Heather Spitfire, will perform several tricks with fire from spinning flames, breathing fire, and feats of fire while on a motorcycle, all to the sounds of rock and roll music.
Quite the unique venue, Torch has opened for bands such as Molly Hatchet, Warrant, LA Guns and Moonshine Bandits. Torch will be performing Friday and Saturday during the Rodeo.
Champion Motor Sports and Law Tigers with be there, along with several vendors providing everything from food to motorcycle accessories.
"We want everyone to have a good time. We are including camping this year, so people can stay onsite without having to worry about driving from place to place," Bolden said.
However, the event will be a BYOB and no one under 18 will be allowed in.
A motorcyclist challenges himself in the keg-rolling contest during Rodeo On Wheels this past May.
Some of the games at the Rodeo will include keg rolling on motorcycles, ring toss, jousting with water balloons, giant Jenga, trick riding, and what would a motorcycle rodeo be without a wet T-shirt contest.
"The games are fun for participants especially while riding on their bikes.Everyone has a great time," Bolden said.
"We want to add something extra, new, every year. Everything we do we make sure has been OK'd by the city of the Downs," Bolden said. "We want this rodeo to be a good time for all that participate. It is a way to support our community and bring revenue into the Village. We invite everyone that wants to join in the fun to come on out, bring your bikes, and have a great week."
The event officially starts Thursday with no one being allowed into the venue until Thursday.
Prices for admission are $20 per person for all weekend, $15 per day per person and $10 per day for each campsite. No minors will be allowed due to age appropriate competitions and alcohol on the premises. The event will not be selling any alcoholic beverages.
For more information, go online at rodeoonwheels.com, call Tony Bolden at 575-937-1754 for a list of vendors, an event schedule, admission and camping prices.


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Justia Dockets & Filings Second Circuit New York Southern District AGCS Marine Insurance Company v. GEODIS CALBERSON HUNGARIA LOGISZTIKAIKFT
AGCS Marine Insurance Company v. GEODIS CALBERSON HUNGARIA LOGISZTIKAIKFT
AGCS Marine Insurance Company
GEODIS CALBERSON HUNGARIA LOGISZTIKAI KFT
US District Court for the Southern District of New York
Foley Square Office
Jesse M. Furman
Other Contract
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January 12, 2018 Filing 75 MEMORANDUM OPINION AND ORDER re: 63 MOTION for Reconsideration re; 59 Memorandum & Opinion,/Notice of Motion for Reconsideration or, In the Alternative for Certification Pursuant to 28 U.S.C. Section 1292(b), filed by El al Israel Ai rlines, Ltd., 69 SUPPLEMENTAL MOTION for Reconsideration re; 63 MOTION for Reconsideration re; 59 Memorandum & Opinion,/Notice of Motion for Reconsideration or, In the Alternative for Certification Pursuant to 28 U.S.C. Section 1292 (b), filed by Alliance Ground International, LLC. Third-Party Defendants' motion for reconsideration or, in the alternative, for certification of an interlocutory appeal pursuant to Section 1292(b) is DENIED. The Clerk of the Court is directed to terminate Docket Nos. 63 and 69, and as further set forth herein. (Signed by Judge Jesse M. Furman on 1/12/2018) (ras)
November 28, 2017 Filing 59 OPINION AND ORDER re: 44 MOTION to Dismiss the Third-Party Complaint, filed by El al Israel Airlines, Ltd. Third-Party Defendants' motion after conversion to a motion for summary judgment - is GRANTED to the extent that Geodis see ks damages and DENIED to the extent that it seeks indemnification and contribution. It follows that their request for attorneys' fees, costs, and expenses - a request that rests on the assertion that Geodis's claims are clearly timely barre d under the Montreal Convention (see El Al Mem. 9) - is also DENIED. All dates and deadlines, including the January 20, 2018 fact discovery deadline, the January 22, 2018 pretrial conference, and the March 15, 2018 expert discovery deadline, remain in effect. (Docket No. 47). The Clerk of the Court is directed to terminate Docket No. 44, and as further set forth herein. (Signed by Judge Jesse M. Furman on 11/28/2017) (ras)
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Search for this case: AGCS Marine Insurance Company v. GEODIS CALBERSON HUNGARIA LOGISZTIKAIKFT
Plaintiff: AGCS Marine Insurance Company
Represented By: James Aloysius Saville, Jr.
Defendant: GEODIS CALBERSON HUNGARIA LOGISZTIKAI KFT

redpajama_set_name: RedPajamaCommonCrawl


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I had big problems synchronizing MySQL database from the staging and production servers to my laptop. It could take up to 15 minutes for an simple site, but by adding some simple tweaking to the local MySQL and ensure that all database were running InnoDB.
Add the configuration lines below to /etc/mysql/conf.d/innodb.cnf, if the file do not exists simply create it. The O_DIRECT did the trick for my SSD disk and the other options also increased the performance results.
I use http://www.maatkit.org/ to convert the database form for example MyISAM to InnoDB by running the command shown below. Update: it seems that meetkit has become part of https://launchpad.net/percona-toolkit.


Do we have anything like this for C++ ?
I really don't know about it. I generally code in java. I used to code in c++ but never found anything like this in c++. I have one advice only. Keep searching for plugins for c++ in competitive programming, you may get one. I found this one like that only.
Auto comment: topic has been updated by o_panda_o (previous revision, new revision, compare).
Server time: Apr/23/2019 00:04:41 (e1).


text:
Why Does Lego Rock Band Have The Best Soundtrack?
1 How do you get more songs on Lego Rock Band?
2 Which rock band game is the best?
3 What songs does Lego Rock Band have?
4 Does Lego Rock Band need instruments?
5 How do you get a manager in LEGO Rock Band?
6 Is LEGO Rock Band compatible with Xbox one?
7 Is Rock Band 1 or 2 better?
8 Will there ever be a rock band 5?
9 Who is the best selling rock band of all time?
10 What songs does Rock Band 3 have?
11 Can you play rock band without instruments?
12 Does Lego Rock Band work with Guitar Hero?
How do you get more songs on Lego Rock Band?
Fans can extend their LEGO Rock Band experience with downloadable content that can be purchased through the LEGO Rock Band store. Players will have access to all of the songs in the Rock Band Music Store that have been identified to be suitable for all ages.
Which rock band game is the best?
there's no question, RB3 was the best one. Rock Band 3 is easily the best, but Rock Band 2 had two great features that weren't in 3. 2021 had by this point:
11 very recent songs (2019 – 2021)
3 somewhat recent new to the franchise songs (Fatal Illusion, Paranoia, Running With the Wild Things)
What songs does Lego Rock Band have?
Lego Rock Band Setlist
DS version
"Kung Fu Fighting" Carl Douglas Yes
"Let's Dance" David Bowie Yes
"Life is a Highway" Rascal Flatts Yes
"Make Me Smile (Come Up and See Me)" Steve Harley & Cockney Rebel No
You might be interested: Readers ask: What Does Rock Band 2 Special Edition Include?
Does Lego Rock Band need instruments?
The game, as with other games in the Rock Band series, allows up to four players to use instrument controllers to play lead and bass guitar, drums, and vocals on a number of rock music songs.
Lego Rock Band
Mode(s) Single-player, multiplayer
How do you get a manager in LEGO Rock Band?
You will need to play a couple of songs from the camper van vehicle. Play the "Inspiration!" gig when it unlocks. After 5 songs or so, the "Hot Connections!" gig should be unlocked. Play that to unlock the manager.
Is LEGO Rock Band compatible with Xbox one?
Lego Rock Band / Rock Band 2 tracks now PLAYABLE on Xbox One – EU.
Is Rock Band 1 or 2 better?
Rock band 2 has more songs online to play plus you can play all the songs you had in Rock band1. Rock band 2 has a Drum Trainer mode that allows novices to acclimate and improve their skills on drums. Rock band 1 only had a practice mode on songs for the players.
Will there ever be a rock band 5?
In 2020, Harmonix, Rockstar Games, Spotify, and Razer Inc. all confirmed that Rock Band 5 is currently in development on their Twitter accounts. The game is currently in development, and with it being a fan-made idea and not an actual game it is unknown as of yet, as to when it' ll be released.
Who is the best selling rock band of all time?
Check out the 50 best – selling music artists of all time by album sales:
The Beatles — 183 million units.
Garth Brooks — 156 million units.
Elvis Presley — 146.5 million units.
Eagles — 120 million units.
Led Zeppelin — 111.5 million units.
Billy Joel — 84.5 million units.
Michael Jackson — 84 million units.
You might be interested: Readers ask: How Do I Use Double Pedal On Rock Band 4?
What songs does Rock Band 3 have?
The Complete Rock Band 3 Setlist
Amy Winehouse – "Rehab"
Anthrax – "Caught in a Mosh"
At the Drive-In – "One Armed Scissor"
Avenged Sevenfold – "Beast And The Harlot"
The B-52s – " Rock Lobster"
The Beach Boys – "Good Vibrations" (Live)
Big Country – "In a Big Country"
Blondie – "Heart of Glass"
Can you play rock band without instruments?
The answer is no. Unlike the earlier Guitar Hero games, all Rock Band games require some sort of compatible music game controller.
Does Lego Rock Band work with Guitar Hero?
Lego Rock Band will work with "current" Guitar Hero controllers, Traveller's Tales boss Jonathan Smith has confirmed. "The core Rock Band idea of 'building a band ' is perfectly aligned with the values and playfulness of Lego gaming."
FAQ: What Is The Greatest Rock And Roll Band Of All Time?
How Does Bass Scoring Work Rock Band 4?


basalt, diorite, dolerite, gabbro, granite, rhyolite, tonalite and tuff . crusher types used and the number of stages and also the type of crusher used.
This is apparent locally with the Quartzite quarries around Sioux Falls S.D. versus the local sand and gravel deposits. There are basically two different styles of crushers utilized in our industry: . Normally are used with soft to mild stone.
GRANITE CRUSHERS PLANT IN NIGERIA. granite quarry granitepanies in nigeria. Use of Gypsum stone in Nigeria CGM Crushing Plant.
Whether it is in mining, quarries or riverbeds is not an issue. Soft stone. Why are mobile crushers and mobile screens from RM so in demand for above all because they are flexible in use and built so they all have a long service life.
Generally for dolomite crushing, Jaw crusher is used for primary crushing. After crushing in jaw crusher, impact crusher or cone crusher is used for second.
Stone quarrying is the multistage process by which rock is extracted from the ground and crushed to produce Large scale gyratory crushers can also be used.
Processing of crushed stone for use as construction aggregate consists of blasting, primary 1 Quarry byproducts are produced during crushing and washing operations. . Different types of crushers were used to produce these screenings.
A crusher is a machine designed to reduce large rocks into smaller rocks, gravel, or rock dust. Crushers may be used to reduce the size, or change the form, of waste The earliest crushers were handheld stones, where the weight of the stone provided a boost to muscle power, used against a . Crusher bucket in a quarry.
Unlike any other races nationwide, the Quarry Crusher Run Series allows private expect as much as 18 in areas! through granite cliffs to the quarry floor.
is used here to denote both fine aggregate and quarry fines material <63 microns. with the type of rock and also the type of crusher used. The figures sandstone, limestone and dolomite, igneous diorite, dolerite, granite and lava and.
After a used crusher? At Mascus UK you can browse our range of second hand crushers for sale including top brands Waste Recycling Quarry Equipment.
Understand why the jaw crusher cone crusher are some of the powerful stone crushers used in the mining and quarrying industry at Pilot Crushtec.
May 8, 2017 If the shape of the stone is an issue, an impact crusher will give you a little you want to usepression style crusher, and when youre crushing blast of your quarry or is there a concrete plant outside of your quarry.
because of the use of personal hearing protection, and task ~I~en~atiQfis . of crushed stone prod ucts. Mining consists of. Quarry. Primary crusher.
and use rock crusher plants is fundamental in the production of aggregate. quarry rock available to use in processing in order to choose the appropriate type of crusher crusher classified by the amount of crushed stone produced per hour.


text:
\section{Introduction}

The variational inequality theory has its origin in the works   of Stampacchia (see \cite{S}) and Fichera (see \cite{F}). This theory provides us very powerful techniques for studying problems arising in various  branches of mathematics but also in mechanics,  transportation, economics equilibrium or contact problems in elasticity. For instance, the moving boundary value problem can be characterized by a class of variational inequalities, the traffic assignment problem is a variational inequality problem, the free boundary value problem can be studied effectively in the framework of variational inequalities (see \cite{Bai, Ber-Gaf, Daf}).

During the last decades, the variational inequality theory has imposed itself, due to its importance, and has been  subject of a  dynamical evolution reflected in a number of generalizations,  studied and applied in various directions (see, for instance, \cite{BL,Fe,F,KS,L,N1,S}).

General variational inequalities, which were introduced and studied by Noor, can be used to study a wide class of problems including unilateral, moving boundary, obstacle, free boundary and equilibrium problems arising in various areas of pure and applied sciences (see \cite{N1}).

Let $H$ be a Hilbert space and let $C$ be a nonempty, closed and convex subset of $H$. Noor considered the following problem, called general variational inequality (see \cite{N1, Nor1,Noor}). For two continuous mappings $T,g:H\To H$, find $u\in g^{-1}(C)$ such that
$$\la T(u),g(v)-g(u)\ra \ge 0,\mbox{  for all }v\in g^{-1}(C).$$

Noor remarked (see \cite{N1}), that  if  $C^* =\{u\in H| \la u,v\ra\ge0,\,\mbox{\,for all\,}\, v\in C\}$ is a polar cone of the convex cone $C\subseteq H$,
then the general variational inequality is equivalent to finding $u\in H$, such that
$g(u)\in C$, $T(u)\in C^*$,  $\la T(u),g(u)\ra=0,$ which is known as the general nonlinear complementarity problem.

If $C=H$, then the general variational inequality problem is equivalent to finding $u\in H$, such that
$\la T(u),g(v)\ra = 0, \mbox{  for all }g(v)\in H$ which is known as the weak formulation of the boundary value problem.

For a concrete third-order obstacle boundary value problem, that may be characterized by a general variational inequality see \cite{Nor2,No}.

The problem of general variational inequalities has been extended by Noor to the case when the operators involved are set-valued.

Let $C(H)$ be the family of all nonempty compact subsets of $H.$ Let $T:H\To C(H)$ be a set-valued operator,
and let $g:H\To H$ be a single-valued operator. Let $K$ be a nonempty, closed and convex set in $H.$
Consider the problem of finding $x\in H,\, g(x)\in K,\,u\in T(x)$ such that
\begin{equation*}
\la u,g(y)-g(x)\ra \ge0,\mbox{  for all } g(y)\in K.
\end{equation*}
This problem is called a multivalued variational inequality. It has been shown, that a wide class of multivalued odd-order and nonsymmetric,
free, obstacle, moving equilibrium and optimization problems arising in pure and applied sciences can be studied via the multivalued variational
inequality, ( see \cite{Noor3}).

While existence results of the solution for the classical Stampacchia variational inequalities were abundant in the last years (see for instance \cite{MR}), this is not the case of general variational inequality, respectively of multivalued variational inequality. Some variants of  the general variational inequality problem, respectively the multivalued variational inequality problem (see \cite{Y}) have also been  studied in \cite{L,L1} and \cite{L2} in a Banach space context.  In these papers several existence results of the solution for these problems were established in the case the operator $g$ is of type ql and the operators involved possess some continuity properties.  Recall that the operator $g:D\subseteq X\To Y$ is of type ql (see \cite{L}), if for every $x,y\in D,$ and every $z\in [x,y]\cap D,$ one has $g(z)\in[g(x),g(y)],$ where  $X$ and $Y$ are real linear spaces and $[x,y]$ denotes the closed line segment with the endpoints $x$ respectively, $y.$  Moreover, it has been shown by examples that the existence results of solution for these problems, obtained in the papers mentioned above, fail outside of the class of ql type operators.

  In this paper we  obtain some existence results of the solution for general variational inequalities without assuming that the operators involved are of type ql. We do not assume any  continuity property of the operators involved, instead we work with some sequential conditions imposed on these operators. We use these results to obtain some new coincidence point results in Hilbert spaces.

 In what follows let $X$ be a real Banach space and let $X^*$ be the topological dual of $X.$ We denote by $\la x^*,x\ra$  the value of the linear and continuous functional $x^*\in X^*$ in $x\in X.$ Consider the set $K\subseteq X,$ and let  $A:K\To X^*$ and $a:K\To X$ be two given operators.

We deal with the following formulation of the general variational inequality problem, denoted by  $VI_S(A,a,K)$ (see \cite{L}). Find an element $x\in K,$ such that
$$\la A(x),a(y)-a(x)\ra\geq 0,\mbox{ for all }y\in K.$$

We denote by $\id_K$ the identity mapping on $K$, that is, $$\id\nolimits_{K}:K\To K,\, \id\nolimits_K(x)=x,\mbox{ for all } x\in K.$$

Obviously, when $a\equiv \id_K,$ then $VI_S(A,a,K)$  reduces to Stampacchia variational inequality, $VI_S(A,K)$ (see \cite{S}), that is, find $x\in K$ such that
$$\la A(x),y-x\ra\geq 0,\mbox{ for all }y\in K.$$

The outline of the paper is the following. In the next section  we obtain several existence result of the solution for general variational inequalities.  These results  will be used  in Section 3 for providing some unknown coincidence point results in Hilbert spaces.  Also here, as corollaries, several fixed point theorems are obtained.

\section{Solution existence}
In the sequel let $X$ be a real Banach space and let $X^*$ be the topological dual of $X.$  Recall that the operator $T:D\subseteq X\To X^*$ is called weak to $\|\cdot\|$-sequentially continuous at $x\in D$, if for every sequence $\big(x_n\big)\subseteq D$ that converges weakly to $x\in D,$  the sequence $\big(T(x_n)\big)\subseteq X^*$ converges to $T(x)\in X^*$ in the topology of the norm of $X^*.$ We say that $T$ is  weak to $\|\cdot\|$-sequentially continuous on  $D\subseteq X,$ if has this property at every point  $x\in D$. Let us mention, that the compact operators between two Banach spaces, in particular  the Fredholm integral operators, have this continuity property.

 The operator $T:D\subseteq X\To X$ is called weak to weak-sequentially continuous at $x\in D$, if for every sequence $\big(x_n\big)\subseteq D$ that converges weakly to $x\in D,$  the sequence $\big(T(x_n)\big)\subseteq X$ converges weakly to $T(x)\in X.$ We say that $T$ is  weak to weak-sequentially continuous on  $D\subseteq X,$ if has this property at every point  $x\in D$.

The following result was established in \cite{L}.

\begin{prop}\label{p2.1}(Corollary 4.1 \cite{L}) Let  $A:K\subseteq X\To X^*$  be a given operator. If $A$ is weak to $\|\cdot\|$-sequentially continuous and $K$ is weakly compact and convex, then Stampacchia variational inequality, $VI_S(A,K)$, admits solutions.
\end{prop}

Now we are able to provide a result concerning on existence of the solution of $VI_S(A,a,K)$. We need the following concept. Let $Z$ and $Y$ be two arbitrary sets. Recall that the inverse of a mapping $f:Z\To Y$ is defined as the set-valued mapping $f^{-1}:Y\rightrightarrows Z,\, f^{-1}(y)=\{z\in Z:f(z)=y\}.$  A single valued selection of the set-valued map $F:Z\rightrightarrows Y$ is the single valued map $f:Z\To Y$ satisfying $f(z)\in F(z)$ for all $z\in Z.$

\begin{thm}\label{t3.1} Let $K\subseteq X$ and let $A:K\To X^*$ and $a:K\To X$ be two given operators. Assume that $a(K)$ is weakly compact and  convex. Assume further, that for every sequence $\big(x_n\big)\subseteq K$ the following condition is satisfied:  if the sequence $\big(a(x_n)\big)\subseteq a(K)$ converges weakly to $a(x)\in a(K)$ then the sequence $\big(A(x_n)\big)\subseteq X^*$ is norm convergent to $A(x)\in X^*.$ Then $VI_{S}(A,a,K)$ admits solutions.
\end{thm}
\begin{proof} Consider  $b:a(K)\To K$  a single valued selection of $a^{-1}.$ Let $\big(u_n\big)\subseteq a(K)$ a weakly convergent sequence to $u\in X.$ Then due to the weak compactness of $a(K)$ we have $u\in a(K).$ We show that $(A\circ b)(u_n)\To (A\circ b)(u),\, n\To\infty.$
Since $\big(u_n\big)\subseteq a(K)$ there exists a sequence $\big(x_n\big)\subseteq K$ such that $u_n=a(x_n),\,n\in \mathbb{N} .$ Analogously $u=a(x)$ for some $x\in K.$ Note that $a(b(u_n))=u_n,\,n\in \mathbb{N} $ and $a(b(u))=u,$ hence the sequence $\big(a(b(u_n))\big)$ converges weakly to $a(b(u)).$
According to the hypothesis of the theorem  $$(A\circ b)(u_n)\To (A\circ b)(u),\, n\To\infty.$$

 Hence, the operator $A\circ b:a(K)\To X^*$ is weak to $\|\cdot\|$-sequentially continuous. According to Proposition \ref{p2.1} there exists $u\in a(K)$ such that,
 \[\la (A\circ b)(u),v-u\ra\geq 0,\mbox{ for all }v\in a(K).\]
 Since for every $y\in K$ there exists $v\in a(K)$ such that $a(y)=v$, we obtain the following general nonlinear variational inequality (see \cite{Noor4}),
 $$\la (A\circ b)(u), a(y)-u\ra \ge 0,\,\forall y\in K.$$
 Observe that $a(b(u))=u.$ Thus, \[\la A(b(u)), a(y)-a(b(u))\ra \ge 0,\mbox{ for all }y\in K,\] or equivalently, $b(u)\in K$ is a solution of $VI_S(A,a,K).$
\end{proof}

\begin{rem}\label{r3.1}\rm
The condition:  $\big(a(x_n)\big)\subseteq a(K)$ converges weakly to $a(x)\in a(K)$ then the sequence $\big(A(x_n)\big)\subseteq X^*$ is norm convergent to $A(x)\in X^*,$ in the hypothesis of Theorem \ref{t3.1} implies that $a^{-1}(a(x))\subseteq A^{-1}(A(x))$ for every $x\in K.$ Indeed, let $x\in K.$ Since $a(K)$ is weakly sequentially closed, there exists a sequence $\big(a(x_n)\big)\subseteq a(K)$ converging to $a(x)$ in the weak topology of $X$. But then the sequence $\big(A(x_n)\big)$ converges strongly to $A(x).$ Let $y\in a^{-1}(a(x)).$ Then $a(y)=a(x)$ hence $\big(A(x_n)\big)$ converges strongly to $A(y).$ Therefore $A(y)=A(x)$, hence $y\in A^{-1}(A(x)).$
\end{rem}

The next Corollary allows us to obtain the conclusion of Theorem \ref{t3.1}  in  conditions that can  more easily be verified.

\begin{cor}\label{c3.1} Assume that $K$ is weakly compact, $a$ is weak to weak-sequentially continuous and $a(K)$ is convex. Assume further,  that for every sequence $\big(x_n\big)\subseteq K$ the following condition holds:  if the sequence $\big(a(x_n)\big)\subseteq a(K)$ converges weakly to $a(x)\in a(K)$ then the sequence $\big(A(x_n)\big)\subseteq X^*$ is norm convergent to $A(x)\in X^*.$
Then $VI_S(A, a,K)$ admits solutions.
\end{cor}

\begin{proof} We show that $a(K)$ is weakly compact, and the conclusion follows from Theorem \ref{t3.1}.
By Eberlein-\u{S}mulian theorem, (see, for instance, \cite{FHHM}) $a(K)$ is weakly compact if and only if is weakly sequentially compact. To prove that $a(K)$ is weakly sequentially compact, let $\big(u_n\big)$ be an arbitrary sequence in $a(K)$. Then there exists a sequence $\big(x_n\big)\subseteq K$ such that $u_n=a(x_n),\,n\in \mathbb{N} .$ We show that $\big(a(x_n)\big)$ has a weakly convergent subsequence in $a(K)$. Since $\big(x_n\big)$ is a sequence in the weakly compact set $K$,  $\big(x_n\big)$ has a weakly convergent subsequence (note that by Eberlein-\u{S}mulian theorem $K$ is weakly sequentially compact, that is, every sequence in $K$ has a convergent subsequence). Let $\big(x_{n_i}\big)$ be a subsequence of $\big(x_n\big)$ that is weakly convergent to $x\in K$. Since $a$ is weak to weak sequentially continuous $\big(a(x_{n_i})\big)$  converges weakly to $a(x)$ and the proof is completed.
\end{proof}

 Recall that the operator $T:D\subseteq X\To {X^*}$ is called monotone (see\cite{B1,B2,M1,M2,Gia-Mau}) if for all $x,y\in D$ one has
$\la T(x)-T(y),x-y\ra\ge 0.$

  We say that $T$ is monotone relative to the operator $t:D\To X,$ if for all $x,y\in D,$ we have $\la T(x)-T(y),t(x)-t(y)\ra\ge 0$.

Obviously, if $t\equiv\id_D$ we obtain the definition of  monotonicity.  $T$ is called continuous on finite dimensional subspaces, if for every finite dimensional subspace $M\subseteq X$ the restriction of $T$ to ${D\cap M}$ is weak continuous, that is, for every sequence $\big(x_n\big)\subseteq D\cap M$ converging to $x\in M$ the sequence $\big(A(x_n)\big)\subseteq X^*$ converges to $A(x)$ in the weak topology of $X^*$ (see \cite{V}).

In what follows we present a well known existence results of solution for Stampacchia variational inequality $VI_S(A,K)$. The following classical result concerning on the existence of the solution of $VI(A,K),$ is due to Hartmann and Stampacchia (see \cite{HS}).

\begin{prop}\label{p2.2} Let $X$ be a reflexive Banach space, let $K$ be a weakly compact convex nonempty subset of $X$. If  $A:K\To X^*$ is a monotone operator, continuous on finite dimensional subspaces then $VI_S(A,K)$ admits solutions.
\end{prop}

In what follows we provide a result concerning on the existence of the solution of general variational inequalities.

\begin{thm}\label{t3.2} Assume that the Banach space $X$ is reflexive.  Let $A:K\subseteq X\To X^*$ be monotone relative to  $a:K\To X,$ where $a(K)$ is weakly compact and  convex. Assume further, that for every finite dimensional subset $L\subseteq a(K)$ and for every sequence $\big(x_n\big)\subseteq K,$ such that $a(x_n)\in L$ for every $n\in\mathbb{N},$ the following condition holds: if the sequence $\big(a(x_n)\big)\subseteq L$ converges to $a(x)\in a(K)$ then the sequence $\big(A(x_n)\big)\subseteq X^*$ is weakly convergent to $A(x)\in X^*.$  Then $VI_{S}(A,a,K)$ admits solutions.
\end{thm}
\begin{proof}
Consider  $b:a(K)\To K$  a single valued selection of $a^{-1}$ and let $u,v\in a(K).$ Then $\la (A\circ b)(u)-(A\circ b)(v),u-v\ra =\la A(x)-A(y),a(x)-a(y)\ra ,$ where $x=b(u),\,y=b(v).$ Since $A$ is monotone relative to $a$, we have $\la A(x)-A(y),a(x)-a(y)\ra \ge 0,$ hence, the operator  $A\circ b:a(K)\To X^*$ is monotone.

 Let  $M$ be a finite dimensional subspace of $X$ and let $L=M\cap a(K).$ Let   $\big(u_n\big)\subseteq L$ be a  sequence  convergent to $u\in a(K).$ Since $M$ is finite dimensional subspace it is closed. Hence, according to the weak compactness of $a(K)$ we get that   $u\in L.$ We have to show that the sequence $\big((A\circ b)(u_n)\big)\subseteq X^*$ converges to $(A\circ b)(u)\in X^*$ in the weak topology of $X^*.$
Since $\big(u_n\big)\subseteq a(K)$ there exists $\big(x_n\big)\subseteq K$ such that $u_n=a(x_n),\,n\in\mathbb{N} .$ Analogously $u=a(x)$ for some $x\in K.$  Since $b:a(K)\To K$ is a single valued selection of $a^{-1},$  observe that $a(b(u_n))=u_n\in L,\,n\in\mathbb{N} $ and $a(b(u))=u\in L.$ Hence $\big(a(b(u_n))\big)$ converges to $a(b(u)).$

According to the hypothesis of the theorem  the sequence $\big(A( b(u_n))\big)\subseteq X^*$ converges weakly to $A(b(u))\in X^*$ when $n\To\infty,$ which shows that $A\circ b$ is continuous on finite dimensional subspaces. Hence, according to Proposition \ref{p2.2} there exists $u\in a(K)$ such that,
 \[\la (A\circ b)(u),v-u\ra\geq 0,\mbox{ for all }v\in a(K).\]
 Since for every $y\in K$ there exists $v\in a(K)$ such that $a(y)=v$, we obtain $$\la (A\circ b)(u), a(y)-u\ra \ge 0,\,\forall y\in K.$$
 Observe that $a(b(u))=u.$ Thus, \[\la A(b(u)), a(y)-a(b(u))\ra \ge 0,\mbox{ for all }y\in K,\] or equivalently, $b(u)\in K$ is a solution of $VI_S(A,a,K).$
\end{proof}

\begin{rem}\label{r3.2}\rm Observe, that  if $K$ is weakly compact and $a$ is weak to weak-sequentially continuous then, according to the proof of Corollary \ref{c3.1}, $a(K)$ is weakly compact, hence we have the following corollary.
\end{rem}

\begin{cor}\label{c3.2}
Let the Banach space $X$ be reflexive.  Assume that $K$ is weakly compact, $a(K)$ is convex and $a$ is weak to weak-sequentially continuous. Let $A$ be monotone relative to  $a$ and assume further, that for every finite dimensional subset $L\subseteq a(K)$ and for every sequence $\big(x_n\big)\subseteq K,$ such that $a(x_n)\in L$ for every $n\in\mathbb{N},$ the following condition holds: if the sequence $\big(a(x_n)\big)\subseteq L$ converges to $a(x)\in a(K)$ then the sequence $\big(A(x_n)\big)\subseteq X^*$ is weakly convergent to $A(x)\in X^*.$  Then $VI_{S}(A,a,K)$ admits solutions.
\end{cor}

\section{Coincidence points}
In this section we obtain several coincidence point results for two given mappings by using the existence results of the solution for general variational inequalities established in the previous section. Let $X$ and $Y$ be two arbitrary sets and let $f,g \colon X \To Y$ be two given mappings. Recall that a point $x\in X$ is a coincidence point of $f$ and $g$ if $f(x) = g(x).$ If $X=Y$ and $g\equiv \id_X$ then a coincidence point $x\in X$ of $f$ and $g$ is called a fixed point of $f$, that is $f(x)=x.$ A considerable number of  problems concerning on  the existence of the solution of nonlinear inequalities, arising in different areas of mathematics, can be treated as a coincidence point or fixed point problem (see, for instance, \cite{NS-MAT}).

 In the sequel $H$ denotes a real Hilbert space identified with its dual.

The following coincidence point result is an easy consequence of Theorem \ref{t3.1}.

\begin{thm}\label{t4.1} Let $K\subseteq H$ and let $f,g:K\To H$ be two given mappings. Assume that $f(K)\subseteq g(K)$ and $g(K)$ is weakly compact and convex. Assume further, that for every sequence $\big(x_n\big)\subseteq K$ the following condition holds: if the sequence $\big(g(x_n)\big)\subseteq g(K)$ converges weakly to $g(x)\in g(K)$ then the sequence $\big(g(x_n)-f(x_n)\big)\subseteq H$ converges to $g(x)-f(x)\in H$ in the topology of the norm of $H$. Then $f$ and $g$ have a coincidence point.
\end{thm}
\begin{proof}  It can be easily verified that the operators $A:K\To H, \,A(x)=g(x)-f(x)$ and $a:K\To H,\,a(x)=g(x)$ satisfy the assumptions of the hypothesis of Theorem \ref{t3.1}. Hence, $VI_S(g-f,g,K)$ admits solutions.

Let  $x\in K$ be a solution of $VI_S(g-f,g,K)$. Then we have  $\la g(x)-f(x),g(y)-g(x)\ra \ge 0$ for all $y\in K.$ Since $f(K)\subseteq g(K)$ choose $y\in K$ such that $g(y)=f(x).$ Then $\la g(x)-f(x),f(x)-g(x)\ra \ge 0$, or equivalently $-\|f(x)-g(x)\|^2\ge 0$, which leads to $f(x)=g(x).$
\end{proof}

\begin{cor}\label{c4.1}
Let $K \subseteq H$ be a weakly compact set, let $f : K \To H$ and $g : K \To H$ be two mappings, such that $g$ is weak to weak-sequentially continuous and $g(K)$ is convex. Assume that for every sequence $\big(x_n\big)\subseteq K$ the following condition holds:  if the sequence $\big(g(x_n)\big)\subseteq g(K)$ converges weakly to $g(x)\in g(K)$ then the sequence  $\big(g(x_n)-f(x_n)\big)\subseteq H$ is norm convergent to $g(x)-f(x)\in H.$ If $f(K) \subseteq g(K)$ then  $f$ and $g$ have a coincidence point.
\end{cor}
\begin{proof} According to the proof of Corollary \ref{c3.1}, $g(K)$ is weakly compact. The conclusion follows from Theorem \ref{t4.1}.
\end{proof}

The next corollary provides sufficient conditions for the existence of a fixed point of a given mapping.

\begin{cor}\label{c4.2} Let $K \subseteq H$ be a weakly compact and convex set, let $f : K \To H$ be a given mapping such that $f(K) \subseteq K.$ Assume that for every sequence $\big(x_n\big)\subseteq K$ the following condition holds:  if the sequence $\big(x_n\big)\subseteq K$ converges weakly to $x\in K$ then the sequence  $\big(x_n-f(x_n)\big)\subseteq H$ is norm convergent to $x-f(x)\in H.$ Then $f$ has a fixed point.
\end{cor}
\begin{proof} The conclusion follows from Theorem \ref{t4.1} by taking $g\equiv \id_K.$
\end{proof}

In finite dimensional Hilbert spaces the weak topology and the topology of the norm are equivalent, hence we have the following corollaries.

\begin{cor}\label{c4.3} Let $K\subseteq \mathbb{R} ^n$ and let $f,g:K\To \mathbb{R} ^n$ be two given mappings. Assume that $f(K)\subseteq g(K)$ and $g(K)$ is  compact and convex. Assume further, that for every sequence $\big(x_n\big)\subseteq K$ the following condition holds:  if the sequence $\big(g(x_n)\big)\subseteq g(K)$ converges  to $g(x)\in g(K)$ then the sequence $\big(f(x_n)\big)\subseteq \mathbb{R} ^n$ converges to $f(x)\in\mathbb{R}^n.$ Then $f$ and $g$ have a coincidence point.
\end{cor}
 The next result can be viewed as  a coincidence point version of Brouwer fixed point theorem.

\begin{cor}\label{c4.4}
Let $K \subseteq \mathbb{R}^n$ be a compact set, let $f ,g: K \To \mathbb{R}^n$ be two given mappings, such that $g$ is continuous, $g(K)$ is convex and  $f(K) \subseteq g(K)$. Assume that for every sequence $\big(x_n\big)\subseteq K$ the following condition holds:  if the sequence $\big(g(x_n)\big)$ converges to $g(x)\in g(K)$ then the sequence $\big(f(x_n)\big)$ converges to $f(x)\in\mathbb{R}^n.$
  Then there exists $x_0 \in K$ such that $f(x_0) = g(x_0)$.
\end{cor}

The following coincidence point result is obtained via Theorem \ref{t3.2}.

\begin{thm}\label{t4.2} Let $K\subseteq H$ and let $f,g:K\To H$ be two given mappings, such that
$$\|g(x)-g(y)\|^2\ge \la f(x)-f(y),g(x)-g(y)\ra \mbox{ for all }x,y\in K.$$  Assume that $f(K)\subseteq g(K)$ and $g(K)$ is weakly compact and convex. Assume further, that for every finite dimensional subset $L\subseteq g(K)$ and for every sequence $\big(x_n\big)\subseteq K,$ such that $g(x_n)\in L$ for every $n\in\mathbb{N},$ the following condition holds: if the sequence $\big(g(x_n)\big)\subseteq L$ converges to $g(x)\in g(K)$ then the sequence $\big(f(x_n)\big)\subseteq H$ converges to $f(x)\in  H$ in the weak topology of  $H$. Then $f$ and $g$ have a coincidence point.
\end{thm}
\begin{proof} We show that the operators $A:K\To H, \,A(x)=g(x)-f(x)$ and $a:K\To H,\,a(x)=g(x)$ satisfy the assumptions in the hypothesis of Theorem \ref{t3.2}.

Let $L\subseteq g(K)$ be a finite dimensional subset . It is obvious that if the sequence $\big(g(x_n)\big)\subseteq L$ converges to $g(x)\in g(K)$  and the sequence $\big(f(x_n)\big)\subseteq H$ converges to $f(x)\in H$ in the  weak topology of  $H$ then the sequence $\big(g(x_n)-f(x_n)\big)\subseteq H$ converges to $g(x)-f(x)\in H$ in the weak topology of $H$.

From  $\|g(x)-g(y)\|^2\ge \la f(x)-f(y),g(x)-g(y)\ra $ for all $x,y\in K$  we obtain  $\la g(x)-g(y),g(x)-g(y)\ra \ge \la f(x)-f(y),g(x)-g(y)\ra $ for all $x,y\in K,$ or equivalently  $$\la (g-f)(x)-(g-f)(y),g(x)-g(y)\ra \ge 0$$ for all $x,y\in K,$ which shows that $g-f$ is  monotone relative to $g$.

Hence, according to Theorem \ref{t3.2}, $VI_S(g-f,g,K)$ admits solutions.

Let  $x\in K$ be a solution of $VI_S(g-f,g,K)$. Then we have  $\la g(x)-f(x),g(y)-g(x)\ra \ge 0$ for all $y\in K.$ Since $f(K)\subseteq g(K)$ choose $y\in K$ such that $g(y)=f(x).$ Then $\la g(x)-f(x),f(x)-g(x)\ra \ge 0$, or equivalently $-\|f(x)-g(x)\|^2\ge 0$, which leads to $f(x)=g(x).$
\end{proof}

As an immediate consequence we obtain the following fixed point result.

\begin{cor}\label{c4.5} Let $K \subseteq H$ be a weakly compact and convex set, let $f : K \To H$ be a given mapping such that $f(K) \subseteq K.$ Assume that $f$ is continuous on finite dimensional subspaces and  $\|x-y\|^2\ge \la f(x)-f(y),x-y\ra $ for all $x,y\in K.$ Then $f$ has a fixed point.
\end{cor}
\begin{proof} The conclusion follows from Theorem \ref{t4.2} by taking $g\equiv \id_K.$
\end{proof}

\begin{rem}\label{r4.1}\rm Note that if $f$ is $g-$nonexpansive, that is $\|f(x)-f(y)\|\le\|g(x)-g(y)\|$ for all $x,y\in K$, then the condition $\|g(x)-g(y)\|^2\ge \la f(x)-f(y),g(x)-g(y)\ra $ for all $x,y\in K$ in the hypothesis of Theorem \ref{t4.2} is satisfied, since  $\mbox{ for all }x,y\in K$ we have
$$\|g(x)-g(y)\|^2\ge \|f(x)-f(y)\|\|g(x)-g(y)\|\ge \la f(x)-f(y),g(x)-g(y)\ra.$$
 It particular, if $f$ is nonexpansive,   then the condition  $\|x-y\|^2\ge \la f(x)-f(y),x-y\ra $ for all $x,y\in K$ in Corollary \ref{c4.5} is satisfied, since in this case we have
$$\|x-y\|^2\ge \|f(x)-f(y)\|\|x-y\|\ge \la f(x)-f(y),x-y\ra \mbox{ for all }x,y\in K.$$
\end{rem}

\textbf{Acknowledgements.} The authors would like to express sincere thanks  to anonymous referees for their helpful comments and suggestions which led to improvement of the originally submitted version of this work.

redpajama_set_name: RedPajamaArXiv


Wyoming (head coach Dave Christensen is 16-6 ATS with revenge and the Cowboys have a 0.8 yards per play advantage offensively over Fresno State's stop unit).
From the list above, our sources have confirmed sharp money coming in on the other side of UCLA, Notre Dame and Texas Tech. Thursday night offers two prime time contests as Oklahoma travels to Baylor, while Oregon visits The Farm. Here are two interesting trends involving these two games: (1) Baylor is 1-20 SU versus the Sooners, including being installed as double-digit underdogs in 18 of those contests; and (2) Stanford is 33-3 SU at home over the last six years, including 5-1 SU and 6-0 ATS as underdogs.
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Are the Wisconsin Badgers Rose Bowl Bound?


The former HSBC bank in Ossett, Wakefield, will feature in Pugh's next property auction at Leeds United Football Club on 11 April.
The four-storey 3,000 sq ft former bank, which closed in 2017, is being auctioned with a guide price of between £140,000 and £150,000. The property is a traditional stone and brick build and includes two basements.
At the time of the closure HSBC said that falling usage figures at certain branches had required them to restructure in order to improve their services.
Paul Thompson, managing director of Pugh auction house, said: "As more and more people make the shift to digital services our banking clients are reviewing their property portfolios and assessing requirements for the future.
Established 26 years ago, Pugh is the largest auctioneer outside of London and was acquired by property consultant Eddisons in 2016. The firm's next property auctions will take place at Leeds United's Elland Road football ground in Leeds on 11 April and at the AJ Bell Stadium in Manchester on 9 April.


text:
'First Aid Phil' recognised as leader
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By Sally Rae
Workplace First Aid Training founder and managing director Phil Hudson has been recognised as a future business leader. PHOTO: PETER MCINTOSH
For many in Otago, he's known simply as First Aid Phil.
It is not unusual for Workplace First Aid Training managing director Phil Hudson to be approached in the supermarket and told how his training had ``kicked in'' when a situation arose.
When Mr Hudson received the Future Business Leader award at the recent Westpac Otago Chamber of Commerce Business Awards, the citation said his impact on the greater Otago community was ``immeasurable''.
Since 2004, he had been sharing his knowledge and passion for first aid with community groups, schools, organisations and members of the public.
Mr Hudson (37) turned a passion into a job and, when that happened, it did not feel like work, he said.
Workplace First Aid Training was signed off as a New Zealand Qualifications Authority-registered private training establishment in 2014.
Mr Hudson works out of the Vauxhall home he shares with wife Tracy and their three young children. His business has clients from Timaru south and throughout Central Otago.
It provides first-aid training to most secondary schools in Otago and about 90% of primary and intermediate schools.
An interest in scuba diving inadvertently led to Mr Hudson's passion for first aid. After leaving secondary school, he headed to university ``because I thought that's what you had to do''.
He lasted two weeks and realised he did not want to take that career path; instead, he wanted to become a scuba diving instructor.
He graduated as the world's youngest instructor, on his 18th birthday, and stayed in the dive industry for six years.
By default, being involved in that industry also meant being a first-aid instructor and he started doing more first-aid courses than dive courses.
He found he enjoyed teaching it more than scuba diving and, indirectly, it was transforming people's lives, he said.
He set up his own business in 2004 on April Fool's Day, which might sound an inauspicious day but it was also the day on which tech global giant Apple was launched in 1976, he quipped.
Mr Hudson worked as a part-time life-guard at Moana Pool, which was also useful for networking.
He then spent five years as district manager for Surf Life Saving Otago before the role was disestablished as part of national restructuring.
It got to the stage where he and his wife had some tough decisions to make. He was approaching burnout and he realised that he needed to take a step back and look at what he was doing.
He needed another trainer but then he had to make sure the new hand was as good, if not better, than him.
Schooling a new trainer proved a massive learning curve. He ended up writing his own instructor's induction programme and now, someone with no qualifications could be trained in one month.
Winning the future leader award was very humbling and Mr Hudson stressed he accepted it on behalf of the Workplace First Aid Training team.
``I've got no staff but a really good team. We've got pretty ambitious business plans ahead of us. I can't do it myself,'' he said.
He had changed the way he worked - ``I'm not on the tools as much but I'm setting the direction'' - and pulled back on teaching courses.
The business had both an advisory board and a governing board, run by ``really competent people'' so ideas could be bounced around.
First aid instructing used to be ``quite dry and boring'' but he had changed that perception, he said.
When he started the application process to become a private training establishment, the goal was to become the leading provider in Otago-Southland.
``We've smashed that,'' he said.
Mr Hudson, who is also an underwater helicopter escape trainer, said he genuinely cared about people and it was all about helping others. He has also started the Global Destination Challenge, which involved challenging businesses, organisations, individuals and community groups to clean up an area, with the added option of planting a fruit or nut tree.
When Workplace First Aid Training delivered first aid courses in the outdoors, rubbish was often found. Now, participants donned gloves and grabbed rubbish bags to spend some of their course,time cleaning up the area. Other groups were being challenged to do the same.
``Hopefully it really does take off,'' Mr Hudson said.
Contracts can sort out unmatched expectation issues
The art of standing out from the crowd
Cost could be sticking point in stadium naming rights
Normanby publicans shift to city's south
Dunedin 'buzz' attracts fastenings supplier
Brother act backed by $3million
Karen Walker store to close after 10 years
Funding to nurture young entrepreneurs
Careful plans for cannabis operation
House sales rise 12% in December
Claim action kept power prices higher
Plan to take Ice Cream Charlie nationwide
Body recovered after fatal fall on Mt Earnslaw
McGregor marks UFC comeback with stunning KO
Gambling big on wine tourism
Royal Highnesses no more: Sussexes cease using royal titles
Govt spends $500k wooing overseas teachers
'Mr Sh**hole': Vulgar mistranslation of China leader's name
Metal sculptures 'just a bit of fun'
Near-miss shows benefits of slowing down
Oamaru next space frontier


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With Ford Motor Company boasting about it's upcoming 2019 Ford Mustang GT500 having over 700 horsepower, Dodge wasn't going to let it spoil the fun for the 2019 model year. Using the 2018 Dodge Challenger SRT Demon as a template for improving the SRT HELLCAT, Dodge managed to build another "Top Cat" to fill in the slot left by the quarter-mile king it built for only one model year.
Dodge introduced the 2019 Dodge Challenger SRT HELLCAT Redeye, a 797-horsepower and 707 lb.-ft. of torque muscle car that ups the ante for the Dodge muscle car lineup. Taking the 6.2-liter Supercharged HEMI V8 from the SRT Demon, the HELLCAT Redeye gets unique tuning for this application, without losing much horsepower. The SRT Demon had 808-horsepower in it's standard form, while the the SRT HELLCAT Redeye is only 11-horsepower down from it's big brother.
Unlike the SRT Demon, the SRT HELLCAT Redeye gets some options. The amazing powertrain can be equipped in either standard Challenger SRT HELLCAT body or optioned with the widebody kit. For those not on a suicide option, may want to pay for the widebody kit, which takes advantage of the Pirelli 305/35ZR20 All-season versus the Pirelli (PZero Nero All-season) 275/40ZR20 tires on the non-widebody cars. The SRT HELLCAT Redeye offers two final drive ratios, a standard 2.62:1 or available 3.09:1 for enhanced launch capability.
At full throttle, the Dodge Challenger SRT HELLCAT Redeye's high-output engine consumes 1.43 gal/min (5.4 liters/min) of fuel – enough to drain the fuel tank in just under 11 minutes, yet is still rated at 22 miles per gallon (mpg) when driven in normal highway conditions.
The 2019 Dodge Challenger SRT HELLCAT Redeye is available in fourteen different colors… B5 Blue, Destroyer Grey, F8 Green, Go ManGO, Granite Crystal, IndiGO Blue, Maximum Steel, Octane Red, Pitch Black, Plum Crazy, TorRed, White Knuckle and Yellow Jacket all return for 2019. A new color called Triple Nickel joins the color palette for 2019.
2019 Dodge Challenger SRT HELLCAT Redeye Widebody in Triple Nickel. (Dodge).


Chalet Grand Sarire is a beautiful chalet that benefits from a huge open plan living room that combines with a large outdoor wooden deck to create the perfect entertaining space. The interiors are cool and calming and the chalet benefits from a peaceful location in the old village of le fornet without compromising on access to the ski area where you can ski back to the door. Groups of 16 find the chalet a delight and with over 350sqm of floorspace Grand Sarire has six double/twin bedrooms arranged over five floors and one bedroom has an additional adult-sized bunk-bed that will sleep two more comfortably. Perfect for families or groups of friends.
Chalet Grand Sarire is fresh and contemporary and gives an overriding feeling of spaciousness. The property is broken down into two main spaces, one is the main chalet which houses the main living and dining areas and five bedrooms for twelve people. The second is a cool and well designed apartment with two bedrooms and a further bathroom and its only living space. Beautifully finished inside and out in light grey vanoise stone and mountain larch the two areas blend together well. There are two main entrances, one for the main chalet and one for the apartment and they are just three steps apart, with your complimentary slippers you wont find the transition cumbersome. The main entrance is on the ground level where you will find a heated ski room for the chalet with good storage and boot warmers. Here you will also find 2 covered parking spots, a rarity in the valley, if you require more its a large garage so please just ask. On entering the main level of the chalet the sheer size of the living and dining space comes into view. With a length of about 20m this space is great for entertaining large groups for cocktail parties or just giving yourself a generous area for your family or group. The chalet has a minimalist feel and the dining table was sourced from Paris and conveys simple clean lines and can accommodate 16 people with the addition of a further table enabling the whole group to eat together. The lounge has a couple of different seating areas in front of a lovely open fire and a iMac work station. Looking out on to the large deck there is a cedar wood hot tub where often mountain ibex or chamois can be seen.
The central wrought iron stairwell leads up to 3 bedrooms on the next floor one contains adult sized reclaimed wood bunks and a walk in wardrobe and bathroom. The other two bedrooms share a large monsoon shower room and toilet. Ascending to the top floor the mountains come more into view and you will find a large master suite with ensuite bathroom and a smaller king or twin ensuite room with a large terrace and west facing view down to the main village. The apartment is equally well sized and the bedrooms sit neatly together, the extra living space here often works well with families as the children can have their own space to relax and watch movies or play games. The rooms feel on the large size and many contain bathrooms with natural stone sourced from different parts of the country. Also four of the bathrooms contain full sized deep bath tubs which are becoming rarer in the resort as size of chalets are compromised.
The chalet is fully serviced. Our professional chefs will contact you ten days before arrival to discuss your menus for the week. We also have a in house host who provides an exceptional concierge service to help you with the booking of ski tuition, guides, equipment or help with restaurant reservations. The chalet comes with access to our 4x4 Land Rover driving service and chauffeur, who also doubles as our go to person for snow and weather updates and lift openings.
The chalet is located in the pretty village of Le Fornet at the top of the valley, only five minutes from the centre of Val d'Isere.
Ski back to the door - dependant on conditions.
I understand this information will be sent to the property owner/manager, and I agree to the	Terms and conditions. Fill in details about your trip and the owner/manager of Chalet Grand Sarire will get back to you shortly. For safety and quality control reasons, we strongly recommend sent enquiries through ChaletOwners.


text:
Les Jeunes-France sont des jeunes romantiques français regroupés vers 1830 autour de Pétrus Borel, Gérard de Nerval et Théophile Gautier. L'expression est créée par Le Figaro le , empruntée à La Jeune France, un journal publié de juin à  par le républicain Eugène Plagniol et son collaborateur Léon Gozlan.

Histoire

Le Petit-Cénacle
Introduit par Gérard de Nerval et Pétrus Borel dans le cénacle de Victor Hugo, Théophile Gautier et son groupe d'amis créent par la suite le Petit-Cénacle, qui se regroupe dans l'atelier de Jehan Du Seigneur :

Postérité
Théophile Gautier publie le  Les Jeunes-France, romans goguenards, recueil de nouvelles fondées sur des souvenirs.

Description
Animés par des idées libérales et opposés aux conventions bourgeoises, à l'utilitarisme bourgeois, aux commerçants, aux propriétaires, aux concierges, aux académiciens et à Louis-Philippe, ils se distinguent par leurs outrances langagières (avec des injures comme « perruque ! » ou « bourgeois ! »), vestimentaires (ils prônent le port de la barbe, les cheveux longs, et portent des costumes colorés, par opposition aux costumes noirs des bourgeois) et anti-idéologiques, dont se sont servis leurs adversaires, dans la presse, pour dénoncer le mouvement romantique. Passionnés d'art, auquel ils attribuent souvent une mission visant à transformer le réel, ils représentent des soutiens fidèles de leurs aînées dans la bataille qui les oppose aux classiques, en particulier au théâtre, où a lieu notamment la bataille d'Hernani. Même s'il n'ont pas participé aux Trois Glorieuses, ils sont républicains.

Bibliographie

Ouvrages généraux

Études

Notes et références

Article connexe
 Petits romantiques

Romantisme
Littérature française du XIXe siècle
Mouvement littéraire en France

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I have recently taken up running again. Now I'm never going to be a marathon runner, but I would like to be able to run a full 10k eventually. Therefore I started small and downloaded a couch to 5k programme on my phone, got myself a new audio book (Jeffery Deaver, the skin collector) and started pounding the streets.
I do like the idea of being a runner, the whole running along the beach with the wind in my hair looking carefree and gorgeous really appeals to me. However the reality is not quite like that. Apart from the short hair not really blowing in the wind, more times than not I run for five minutes and turn into a red faced sweating machine unable to string a sentence together whilst cursing the blisters on my feet. I know all the theory, I buy the magazines and I've read umpteen books on running however I'm just not very good at it. I know that like anything it takes practice and in order to become a runner you have to actually put the effort in but sometimes I'm not sure the effort is worth the outcome.
I suppose my problem is willpower, and I'm the same with reading. I love reading and always have a few books on the go. However there are some books that although I really like the idea of having read them I never actually get to the end. Take Jane Eyre, I roughly know the story but if I was actually quizzed on it I don't think I'd know the answers. Pride and prejudice is another of those classics that it seems the majority of the world says they've read, but I haven't. I have read the story of Charlotte Bronte's life, but not her actual books despite part of me wanting to. Its the effort I suppose, and like with the running I often start but never quite finish.
I don't think it's because I lack stamina, I've posted 131 times on this blog for example so obviously I can keep up with some things. Although even with this I've read many more books over the year than I've actually reviewed on here. I suppose its just about effort level.
Sometimes things just click, for example I have read Gone with the Wind which would come under the long classics bracket, and I really enjoyed it. Equally last week I had a lovely run along the canal and although there was still alot of walk breaks being taken actually I felt like a runner, but other times things just don't seem to work.
I suppose it's all about how much you want the outcome, and accepting that maybe you just don't want some things quite as much as you think you do. Therefore I'll keep reading crime and reviewing, I'll keep attempting to run and ignoring the worried looks of passer by's as I run up behind them and they suspect a herd of elephants has got loose, but I may just have to accept that marathons and the complete works of Shakespeare are just never going to happen.


Let us say, life changes at a glance. Let us say you're walking forward, you turn your head to look over your shoulder, and behind you the landscape has changed. One life, a life you might have led, is snatched back into the shadows. A different life begins.
This is the day I meet my stepfather; it is the day he meets me. I must not take for granted that you know the topography. You have not seen with your own eyes the long snaking road, nor the hedge on one side, behind which the land rises, nor the wall on the other side, beyond which the land falls away. I am four now. I don't go to school yet. I am small. I wear a bonnet. And everything about me is as sweet as sweety-pie. My head is slightly too big for my body. The inside of it is bulging with knowledge.
The hedge looks dusty, grey masking green, as if a deposit of ash has fallen, from some distant perpetual fire. The waste ground behind it, steep and tussocky, seems to fade to monochrome. On the other side of the road the wall is made of blackened stone. Beyond it is the cannery. We are walking uphill towards home.
This is the geography I have purchase on. I don't know left or right. This is a steep village and so I just know up from down. I just know there and back, what's before me and what's behind. St Charles Borromeo, behind me, is called 'our church'. The school of St Charles Borromeo is called 'our school'. Up ahead is Bankbottom, that is called 'home': I am slow with the word 'home', because no one says it, they say 'our house'.
I am forging towards the crossroads, Station Road cross Woolley Bridge Road cross Tintwistle Road, Tintwistle pronounced (except by my mother) Tinsel. If you leave the door open when you come into our house, people say: 'Do you come from Tinsel?' And indeed, at the very crossroads, you may see the first front door standing open, in the Tinsel manner: not open wide, just fifteen inches or so, just enough to take the effort out of being nosy.
At this age I have to decode the streets before they are safe to walk. It's a snag that I can't read, but I am having all signboards read to me, also the covers of drains and manholes, and those square yellow plates bolted to walls with numbers on them. If you take care to be observant you will see that the roads teem with spoors and tracks, the tracks left for each other by one trade or another, by the companies of men about their business. This plate affixed to the wall, my grandad says, denotes the presence of a hydrant, so many yards that way and so many this. He does not point, but uses his whole hand to indicate: to the forward, to the swerve. Beneath the pavements are pipes and drains, culverts and sewers, and above ground are words to the wise, if you know how to find them. We have just walked on to the toffee shop, at the top of Woolley Bridge Road. If you take care to be observant, Grandad, I say, look into this crack in the wall and you will see a big spider. He faces the craggy stonework, bending his back but not his knees. It is low, for a grown man. He presses his hands into his back as he rises. Ee, love, he says, I take my hat off to you. He is a big 'un.
I say yes, he is always there.
Let us say, life changes at a glance. Let us say you are still moving towards home, towards Bankbottom, confident and purposive. Let us say it is still five minutes before you will turn and look back over your shoulder and your prospects will be transformed. Coming up now, just before the crossroads, is the Wesleyan chapel.
One day, previous to this, you are coming home from Sunday Mass at our church. For some time now you have been able to take your eyes off your own feet without the general danger of falling over; that's the stage of walking you are up to. You notice this structure looming up – a big flat frontage, a big dim window. It has some features resembling a church, but not all. Huge window, but no tower: mighty double doors, shut. You cast your eye across the road to establish how it's located for fire hydrants. You touch your mother's sleeve, the deep-cuffed sleeve of her winter coat; soft wool brushes your cheek. You say, would this be a church? The reply is soothing: no, it is a chapel. Read the sign, please. It is the Wesleyan chapel. What would be Wesleyan? Well, it is Methodist. What should be the method? No, no, no, it is a church, of sorts. It is a chapel.
I torment her for particulars. It is called pestering. Pestering about Methodists. She says, they sing different hymns. Have you been there? Oh, once, she says, once or twice, with non-Catholic friends; though strictly speaking I should not.
On higher ground, on another street, on another day but soon, you find a second chapel, the Primitive Methodists. You pull her sleeve again. You are out of breath from the climb up the steep street. Your eyes grow round.
You go about and about, seeking enlightenment. This is how the world gets wrong, this is how the wires get crossed. You should persist in questioning with each individual, not stumble about all over the place looking for answers: but you have to get definitions from whoever isn't too busy. What is primitive? Soon I am seized with mirth: baseless, I know, but I can't help it. I imagine the Methodists draped in animal skins, beating drums, and I imagine them chalking on the walls. People look around in alarm, checking over their shoulders to see who in our backyard I'm offending. 'Mrs Clayton's chapel,' someone says plaintively.
Ho, ho, is she? I run to read her door number. It's No. 60; I'm glad of it. Till now, 58 was the highest number I knew. I frolic outside her door, waiting for her to form a hunting party, or rush out and scalp me; though I know she's a small poor lady, with a piping voice and a bird's neck. Till someone explains why it's wrong, I'm sticking by my joke. I know it's ridiculous, but it's the only joke I've got.
I know everything about denominations: church, chapel, various chapels, Protestant which is St Andrews. At the top of the village is the station. I know various stations, pegs on the map of the line my grandfather draws. To other people stations are places you go to on trips, but Grandad will talk about them even when you aren't at them or on your way to them. The whole vast train system forms an invisible mesh, drawn tight, under his railway guard's cap. For him stations are places that exist in pure thought form, and which you may represent in the form of a drawing, a drawing in the form of a double streak, a worm, a worm divided into segments, scored off by his pencil. His pencil is not painted, it is the colour of wood. I bite and gnaw the end. Don't do that. Don't worry, I want to say, I won't, it is not a fixed habit with me. I am only imitating Walter Drain.
It is Walter I sit next to, when in time I go to school. He is a penance for me – a penance before the fact, as I am not up to the Sacraments yet, not till I'm seven. Till then, Walter is a punishment for me because I am so distractible, always looking around for someone to engage in conversation. Walter gnaws his pencil so constantly that the wood dissolves into mush and the lead protrudes, fragile, snappable, and taps against his grey baby teeth. It is why Walter never speaks: his mouth is otherwise occupied, sucking, chomping. Walter's father shaves his head. It is a penance for him, perhaps.
When I am five I learn the catechism.
Why did God make you? God made me to know him, love him and serve him.
What is a Methodist? It is just another method.
What is a hairnet? It is a net made of hair.
At the end of the railway line is Manchester. Land of my father. Every day he travels there, wearing his trilby hat. A Manchester word is 'civil'. Oh yes, he is a very civil man. He wears a trilby and he is a very civil man.
So let us say you are on this road, and it is a year or two earlier, it is before Walter and his pencil, and let us say you are not yet five, and you are walking uphill because you've been down to our school: not for teaching, for a visit. Running ahead of your mother, you are approaching the Wesleyan chapel. You turn and look back. Your mother is pushing a heavy, shrouded object on a baby's trolley. Walking with her is a man you don't know.
Immediately, you feel you should run back and put him in the picture. Does he know what object she is pushing? Does he know this trolley is yours? Does he know you at all, your name and address?
Let's unwrap this. Let's shine a torch back into the mouth of the underworld, and take some notes in the mouth of the cavern. Let's return there, as the fabled dog to its vomit. Let it be a trotty dog with an eager curled tail.
Your mother goes to the school each day but is not a teacher, though she could have been, she could have been, she says, Father Coleman implored her, and he would have got her a grant: a grant is a payment. Father Coleman came up himself and directly implored her, describing to her the reference he would write, and a reference – what is a reference? It is praise of you written down, a recommendation, your suitability. Father Coleman would not have hesitated to put the weight of himself behind it. But an opportunity was missed, I fear, she says: once again she was denied her chance. Other people have their chances in life, but hers it would seem is never. No one would mind the baby while she went to the training college. They could not be responsible, they said, and didn't feel themselves up to it. The baby they would not mind is me.
So she is not a teacher nor a pupil, though once she sat herself, once she, in these very classrooms, these very benches. Once she herself at those desks and chairs, an exemplary, her work books shown about, reverently preserved by Mother Urban long after she had left: shown about to other pupils to discourage them, long after Margaret Mary Foster has gone to work in the mill. She is called MMCF, Margaret Mary Cecilia, Cecilia for the patron saint of music, an art in which she is perfect: her embroidery as elegant on the wrong side as on the right, chain stitch and satin stitch. Her work is unblotted, both religion and sums, and most widely praised her compositions. Her recitation: 'A host of golden daffodils'.
Now she is the school secretary. She does the books; this means enters figures in columns in a big ledger, this ledger is the books. To enter is to write in. It is to write in, at the correct place. She types the letters on the typewriter. Keenly she strikes the keys.
One day, we walk down the road to school pushing my trolley. The trolley is empty, as I can walk, thank you. But I remember when my feet rested on its broad running-board, and my fingers grazed its smart grey coachwork.
So this is school! This is the top class, she says, you will not be in here, this is Mother Malachy's. Of course, she says, in your grandma's day it was one great schoolroom, but now between rooms as you see there are half-glazed partitions. I think they are called petitions, but she corrects me.
The air is acrid. The floors are bare boards. I look around. Where did Grandma sit? She says she doesn't know. Did she sit there? Or there? I'll ask her, I say, when we get home, but my mother says she truly doubts I'll get much sense out of her, on that point or any other.
My grandma says all of her life she was in terror of Sister Deshonkle and Mother Desensailes; those, she swears, were their names. If you broke your needle sewing, you were in for it then! We'd to chase a horse to get a hair out of its tail, you put it on your hand and the stick doesn't hurt so much. She asked for a needle to take from home to make up for the broken one, but her mother shouted a curse and chased her out of the door throwing shoes at her. She ran to school where Sister Deshonkle was waiting, grinning and prancing, whipping her cane through the air.
One day, Grandma says, when we was going down to our school, a lass said: look in our window, you can see me mam and dad rolling drunk under the table, and beating each other.
So they peeped through the gap in the drawn curtains, and that was exactly what they saw.
Those were the olden days.
My mother, because she visits the school so often, brings me red lollipops from it. These are what you can buy at playtime, she says. I realise that, though I am her only daughter (as she is my only mother), she knows how to induct a child towards the prospect of pleasure. My mouth is hardly wide enough to insert the vast red stop sign inside it, but all the same I try.
This is the office, my mother says. She opens the door. It leads off the top class's classroom, and it's really a corner of the room petitioned – no, partitioned off. It's not big, I say, she says no, really just a cubicle. Papers lie stacked on the desk. The typewriter squats among them. It is a great metal machine, gleaming and black. 'Is it steam?' I ask. My mother corrects me: is it driven by steam? Then says, no.
She lunges at it, and heaves it up into her arms. Its teeth tip against the front of her frock. She groans, she gasps. She drops it with a thud and a clatter into my trolley. Though delicate she is strong as any man, she says, yet the typewriter causes her to groan. She puts a hand on her back. She closes her eyes. We are pushing the typewriter home, she explains. So that she can type the letters at home, it is going in the trolley instead of me.
I peer at it. Letters lie on its flat yellow teeth. I dab at one with a finger. Don't, she says. Don't interfere with that. She masks it with a great black cloth which she says is to protect it: it is called its protective cover. I finger it; it feels wet but not like ink; I inhale it, a faint smell I can't name. I stare at my fingers, to see if the black has come off.
My mother rests her hands on the push-bar of the trolley, eases it backwards out of the cubicle. She pushes down, rocks it back on its hind wheels, makes a half-circle turn. It rumbles over the floor; we leave the classroom. A big brass bell sits on a ledge. I ask to ring it, she says it would be inadvisable. I take a final breath of the lung-scrubbing air. I see that no one else is at the school, just us. My mother explains it is the holidays; I say, oh, that's nice. We push the trolley across the whole façade of the school, then run it down the slope to the gates.
At the school gates we turn onto the track called the carriage drive. I stop to peer into the Holy Well. It is St Winifred's Well. The proper name for it is a grotto. The ground all around it runs with damp. Rusted railings stop you from climbing in to touch the stonework, clotted with drifts of dead leaves. If you hang about there at midnight you will see the devil; my grandmother has told me so. It is also true that if you hang about there in the afternoon you will see a frog.
We have reached the main road, Woolley Bridge Road; we turn uphill. What if I am tired, I say: what will we do? I cast a piteous look at the trolley. Under its protective cover, hidden from all eyes, the machine steams gently, it puffs, it clatters at me. What if I am tired and can't walk any further?
You are not tired, she says equably. You can walk. Oh, OK. I always wait to be informed by her of what state I am in. It is a feature of mothers to understand their daughters thoroughly and speak about their states. You are hungry, no you are not hungry, you are tired, you are overtired, I am afraid you have a temperature, I think you need to go to the toilet. They can inquire, have you done anything? This is not a general inquiry, but a rather specific one. My grandmother puts it another way, have you done your business? To ensure you do your business you have Syrup of Figs. In colour like muddied water, it is poured nightly into the shining bowl of a spoon. As my mouth approaches, it foams lightly.
With beaded bubbles winking at the brim.
So we are pushing the trolley. We are pushing the laden trolley up towards Bankbottom, wheeling its important passenger up Woolley Bridge Road. I put my hands on the bar, to help. That, my mother says, is what she calls hindering. When Grandad comes off his shift I can tell him I've been to school today; Good Lord, he will exclaim, you are very advanced! I can tell him I've been hindering, been in a cubicle; I rang a great brass bell.
As it seems I am not tired, I romp ahead, ranging up and down the road, running twenty steps to every one of hers, forward and back, forward and back. I skip, I hop, I glance back to see if my frisking is appreciated; I am not tired. I cast my glance back and my mother is walking with a man I don't know. She knows him, though.
I set my eye on the chapel, looming ahead. I know it's only the Wesleyan Methodists, but it does not stop me thinking merrily about the savage sort. The building is set back from the road behind a high wall, and fronting this wall is a rampart of grass. If you are small it is irresistible to run up and across it, so a muddy path is worn, the width of a small child's shoe, and in the middle of the path is a hole down which I hope there is a rabbit: a sort of token, a town rabbit, available to any toddler who looks into this hole. I've never seen a hair of it, not a glimpse of scut, yet I will lisp, wilfully, spitefully: 'rabbit down there.' Just my little whimsical fantasy, I know. I want to be a child. I want to play my role. My family has only one child and I am it.
I look back at them walking, my mother, the man. I run along the shoe-path, wide as a child's shoe. I skid down to the pavement; I run and skid down again, so long are they taking, so long are they taking to get anywhere, so slow: so slowly, slowly, slowly are they walking.
I look back down Woolley Bridge Road. The weight of the steaming typewriter oppresses my mother, she is trailing her feet, the man is trailing his feet too, his hands are on the bar and he is hindering. They lean together as they talk. Time passes I am sure, though I don't have a watch. I loop back to catch up with them. I make remarks about Methodists: more to myself than to them, but I need my presence to be registered. The register is what they call at school. My mother brings home and checks the register. I count the ticks, she explains. The names denote the children. Zero denotes absence. Absent is missing.
I say: missing? Missing means lost! She says no, it means ill.
What are they ill of? She says she can't imagine.
I frisk back towards them; the slow walkers, still hindering, his hands beside hers on the bar of the trolley. I chatter to attract their attention. The Methodists live in there, it is savage. I have seen a half-glazed petition, has he seen it, does he know what one is? I have seen a big brass bell, it is on a shelf, such a small shelf we call a ledge. The devil lives on Woolley Bridge Road, the road between our house and our church, looking for souls to snaffle, looking to catch them in a greasy leather pouch.
Thus the devil reaches out, he takes our soul as if it were an iced bun.
When he is unoccupied he lies flat in the ditch. At midnight you will spot him; he has luminous tips to his horns, and flat on his leather paw he carries one tiny candle, the candle from a birthday cake.
The man nods; his face, which is yellow and narrow, makes a narrow smile. Small brown hair, like feathers, springs from his brow. Like my mother, he smiles without showing his teeth. He smiles in a minimal way, as a social obligation: turning up the corners of his mouth. He nods; he acknowledges me.
We are home at Bankbottom, in my grandmother's house, which is to say, our house too. My father is not at home yet. He is still in Manchester, wearing his trilby and being civil. My Auntie Margaret is there from next door perhaps, the back door is open, various people are walking freely in and out. I am in the kitchen. My mother is walking, pacing between the kitchen and the front room. Sometimes she quickens her stride as new people buzz in and out. She turns about and about, to smile at those who come in at the front door and those who come in at the back; she swivels on her heels, smiling into their faces. She is saying to everybody, guess who I saw, Jack Mantel, Jack Mantel. She indicates me and says I was embarrassing about the Methodists; she flutters that she hopes Jack Mantel was not offended, for 'they're chapel, aren't they?' She turns about and about, her hand laid to her cheek; she is performing for an audience. I am in the scene, a thing to be indicated, an accessory.
The typewriter is in the front room, just inside the door, still squatting in the trolley.
It is an appealing tale, the tale of guess-who-I-met. Yet no one stays or lingers. No one pauses in their everyday routine, which includes running in and out of each other's houses every few minutes. There seems, in general, to be a stony response to my mother's news. I met Jack Mantel, Jack Mantel, she says. Her head is thrown back, her hair rippling to her shoulders, her voice trilling with laughter. She stands with one pretty calf advanced, one foot rocking in her high-heeled shoe. Guess who I met? No one answers. Her voice rises high and hangs itself on one of the vacant cuphooks on the shelves above my grandmother's kitchen table.


I have an undergraduate degree from New York University's School of Individualized Study. Yes, I designed and completed a degree plan for myself. The focus was on Creative Process, Performance, and Play. The theatre, music, and philosophy were woven into it as well. After I graduated, I moved to Brooklyn, New York so that I could put my creativity to work. Currently, I work as a tutor and a stagehand. I can tutor many different subjects, but I love Writing, Literature, and English. Working on writing with students is the most fun. Every thing that is written, even something academic, has the potential to have some creativity in it. Writing helps me understand my students because they must put some of themselves into the words. If you spoke with those who I have tutored, they would say that I am even-handed, patient, and playful. I want my students to learn in an atmosphere that encourages risk-taking and has no repercussions if a mistake is made. They get enough of that from life and school. In my spare time, I like watch television, play guitar, cook, and sometimes play video games.


The Nintendo Gameboy Advance console in black. The sequel to the most successful console of all time is here! This is a boxed fully complete with all leaflets. This console is tested and is in excellent condition.
The Nintendo Gameboy Advance console in Clear White. The sequel to the most successful console of all time is here! This is a boxed fully complete with all leaflets. This console is tested and is in excellent condition.
The Nintendo Gameboy Advance console in Clear. The sequel to the most successful console of all time is here! This is a loose console but is fully working with battery cover. This console is tested and is in excellent condition.


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CCAA Conference Championships
Laura Aceves races into NCAA Championships
By Shanna Shernaman |Staff Writer| Laura Aceves became the only CSUSB track and field athlete to qualify for the National Collegiate Athletic Association (NCAA) Division II Championships. Aceves competed on May 14 at the All On the Line National Qualifier and Harry Marra Multis meet at Westmont College in Santa Barbara. "I wasn't nervous," said Aceves. "I was more focused on me," continued Aceves. Aceves finished first in the 3000-meter steeplechase with a time of 10:57.09. "I focused on my own pace, I knew there were only like two girls in my race," continued Aceves. For Aceves, competition was not a concern. She was confident and ready to compete. "Well, … [Read more...] about Laura Aceves races into NCAA Championships
Filed Under: Sports Tagged With: CCAA, CCAA Conference Championships, csusb, csusb athletics, csusb track and field, Laura Aceves, NCAA Championships, Steeplechase, Westmont College


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Pau is a comune (municipality) in the Province of Oristano in the Italian region Sardinia, located about  northwest of Cagliari and about  southeast of Oristano. As of 31 December 2004, it had a population of 330 and an area of .

Pau borders the following municipalities: Ales, Palmas Arborea, Santa Giusta, Villa Verde.

Demographic evolution

References

External links

 www.comunepau.it

Cities and towns in Sardinia


Fostering North Yorkshire needs you!
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Fostering North Yorkshire is your local fostering service, and we've been supporting families across the county for over 35 years. We're part of North Yorkshire County Council and our foster carers look after over 300 children a year. The foster carers come from a wide range of backgrounds and family make-up, but what they all have in common is their desire to provide a secure and welcoming home for some of the county's most vulnerable children.
In return we offer the best training available and competitive financial packages with generous tax free allowances for each child or young person you foster. And we're there whenever you need us, 24/7, 365 days a year.