text:
Protection Trusts
PREDATORY MARRIAGES ON THE INCREASE
What is a predatory marriage?
A 'Predatory Marriage' is not specifically a legal term, but it describes when a vulnerable person is influenced, coerced, or duped into marrying, with the predatory spouse seeking to benefit financially. The intention is to revoke any existing Will, enabling the predatory spouse to inherit.
In recent years there have been increasing calls for a change in the law to protect vulnerable adults from falling victim to such predators. This is as a direct result of a rise in cases where fraudsters have married vulnerable elderly individuals, without the knowledge of their loved ones, and are then able to access the new spouse's lifetime savings as well as inheriting.
The issue hit the news in 2018 following the case of Joan Blass, a 91-year-old dementia sufferer who died months after secretly marrying a man 24 years her junior. Her children where shocked to learn that their mother had married her live-in carer just 5 months before she passed away. Joan was already diagnosed with Vascular Dementia and could not remember her name or where she lived.
Her children lost out on their £210,000 inheritance, due to the marriage revoking her Will. The predatory spouse even prevented the children attending her funeral and she was buried in an unmarked grave. An absolutely shocking case but one that is being repeated more and more often sadly.
Mark Williams of Amba Legal Services says "It is staggering that there is no legal requirement for a capacity assessment to marry, especially in circumstances such as these. Mrs Blass' MP Fabian Hamilton took the matter to Parliament but as yet there has been no change in the law."
A quick google search reveals similar horror stories, such as a man in his eighties with severe dementia, who had lost capacity, the first attempt by the predatory partner to wed was thwarted by the man's son, but days later a second attempt was successful. As a result, his Will was revoked, and his new wife became the main beneficiary of his estate. In another case, a dementia-sufferer was even whisked away to New Zealand by his predatory partner to be married without his family's knowledge.
Mark said "Until the law changes any incapacitated adult is at risk of such predators and all we can do as practitioners is ensure our vulnerable client policy and processes address such. However, in reality the marriage (and damage) would take place without the wider family or indeed professional advisors knowing."
Daphne Franks, the daughter of Joan Blass has stated "The secret marriage just destroyed that Will as if it never existed. All the personal belongings in the house now belonged to him [the new husband], including my wedding dress and my grandad's letters from the first World War. It was just heart-breaking."
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redpajama_set_name: RedPajamaCommonCrawl


emilyreads: Watch This Space . . .
. . . for ALA awards news, live(ish) from San Diego. Or follow me on Twitter: @emilyreads.
Hey, look! I didn't post anything or link anything. I didn't even tweet. By now you already know everything anyway. GO ME.


Thank you for placing your order with Auto Transporters Nationwide.
We really appreciate and value your business.
As a last step in enabling us to process your order we need your formal authorization to act as your agent facilitating the transport of your requested vehicle(s).
Please retype your agent name to verify .
I authorize AUTO TRANSPORTERS NATIONWIDE to accept payment of the Payment Amount shown above via the above provided Credit Card.I acknowledge that I provided my full credit card information by phone to AUTO TRANSPORTERS NATIONWIDE. I understand that the above credit card information is incomplete only so that AUTO TRANSPORTERS NATIONWIDE can better protect my personal information. I acknowledge that I willingly provided my full credit card information to AUTO TRANSPORTERS NATIONWIDE and that the limited information collected above in no way limits AUTO TRANSPORTERS NATIONWIDE from acting according to this agreement. I understand that the above disclosed amount is payment for services being provided by AUTO TRANSPORTERS NATIONWIDE. I acknowledge and agree to perform the obligation as set forth by the issuing bank's Cardholder Issuer Agreement. I understand that acceptance of these terms negates my right to dispute the above mentioned charges(s) accept as following AUTO TRANSPORTERS NATIONWIDE terms and conditions as attached.
TERMS AND CONDITIONS OF ORDER FOR SERVICE 1.) SERVICES; AUTO TRANSPORTERS NATIONWIDE, INC. (ATN) is a licensed and bonded Broker authorized to facilitate the transport of vehicles. We will act as your agent and find a licensed and insured Carrier to transport the requested vehicle(s). The vehicle(s) mentioned below are covered under the carriers insurance. You can ask the carrier for to view his insurance certificate upon pick up at any time. 2.) PAYMENTS: Unless other arrangements are made in advance a deposit will be made via wire transfer or via the customer's credit card to validate the card when an order is placed with ATN. The remaining balance of the tariff is payable to the Carrier in the form of: Cash, Cashier's Check or Money Order. If it is by wire transfer the full amount is due upon receipt of order to dispatch driver. Other fees, if any, may be charged to the validated credit card at the time they become due. If for any reason ATN feels that an adjustment in the tariff amount is required to facilitate the transport of your vehicle we will only make such changes when agreed to by the customer in advance. The amount of the deposit may change without notice as the order is processed. However, the total charges to the customer will never exceed the agreed tariff plus any added fees. Additional fees may apply if alternate payment terms are requested after a Carrier has been assigned. We also accept paypal to the address mariasol@y7mail.com, if you choose to use paypal there is a 5% service fee added to the deposit amount, or you can pay by check by phone for an additional $5.00 fee. If you are paying by credit card, you are agreeing to a 3% processing fee on the deposit amount only. If you choose to pay the full amount of your order on the credit card specified below, the fee is 3% of the total order. 3.) DISCLOSURE: The customer agrees to make full disclosure to ATN regarding the condition of the vehicle including; any modifications that have been made to the vehicle, such as but not limited to, vehicles that have been lowered, raised, or have over- sized or under sized tires, if the vehicle is unable to be driven on and off the Carrier's truck under its own power, if vehicle's brakes are insufficient to stop the vehicle, or if the vehicle has added equipment such as tool chests, fuel tanks, or luggage racks. The Customer agrees to disclose the presence of any personal items in the vehicle before a Carrier is assigned. The customer also agrees to fully disclose all dates surrounding their expectations for the move. Including, when the car may be picked-up and delivered and if there are flights involved. If for any reason the vehicle or conditions surrounding the order is found to be materially different than disclosed additional fees will apply and be added to the customer's total tariff including possible inoperable, dry run, rescheduling, or additional shipping charges will be added at customer's expense possibly without notice to the customer. 4.) VEHICLE PREP: The customer will prepare the vehicle for transportation by disarming alarm systems, removing all loose and protruding accessories from the vehicle (example: broken spoilers, roof racks and/or loose parts of vehicle that might fall off during transport). 5.) PERSONAL ITEMS: Your order with ATN does not include the shipment of personal items. ATN will not be responsible for any loss or damage done to personal items left in vehicles. These items will not be covered by our insurance. The Federal Department of Transportation does not allow the transportation of "personal items" in a vehicle that is being hauled by an auto carrier. However, many Carriers will still allow the transport of a small amount of personal items. Confirm with your assigned Carrier if planned items may be shipped. Additional fees may be necessary if arraignments are not made ahead of time with your assigned Carrier. 6.) "DOOR-to-DOOR" Service means the Carrier will get as close to the stated address as is legally and safely possible. Customer and/or his agent agree to meet the truck at a large parking lot for pickup and/or delivery if requested by the Carrier. For shipments to Hawaii or for other Island service is "DOOR to PORT" or "PORT to DOOR". Customer agrees to either drop off or pickup vehicle(s) at Port location. 7.) SCHEDULING, PICKUP AND DELIVERY: While every effort will be made to meet the customer's pre-disclosed and requested scheduling, No guarantee of pickup or delivery dates can be made, expressed or implied. Delays may occur due to Carrier schedules, mechanical failure, inclement weather, and other unforeseen circumstances. If the customer insists on pickup or delivery on a specific date, special arrangements can be made with additional charges. All dates of pickup and delivery are estimated and not guaranteed. ATN will not be responsible for any charges incurred due to delay of pickup or delivery. This includes but is not limited to airline tickets, hotel fees, or rental car fees. The customer and his agents agree to fully inspect the vehicle at both pickup and delivery, and annotate any and all damages on the Carrier's Bill of Lading / Condition Report before the driver leaves. Any claims for damages not annotated on the Bill of Lading / Condition Report will not be honored. Inspect your vehicle completely. Insurance providers will refuse responsibility for any damage claims not annotated on a signed Bill of Lading. All claims for damage must be addressed to the Carrier. ATN as a Broker is not liable for any damage claims. ATN will assist customers in processing any valid claim with the assigned Carrier. Additional terms and conditions may apply and may appear on the Carrier's Bill of Lading / Condition Report. A Carrier is not required to wait to pick up or to deliver a vehicle. A rescheduling fee will apply if the vehicle is not available for pick up or delivery once a Carrier has been assigned to transport the vehicle. The rescheduling fee will be $100. This fee will be in addition to the total amount of the tariff. A customer who double books the shipping of their order with multiple transport companies (in that case two or more carriers will be picking the vehicle) and if a carrier is assigned by ATN and we are then unable to transport the vehicle because the vehicle is unavailable for any reason will be subject to a dry run fee in the amount of $250 which is in addition to the total amount of the Tariff. 8.) CANCELATION: Customer is free to cancel their shipping order with ATN for any reason without penalty as long as a Carrier has NOT been assigned to ship the vehicle. If a carrier HAS been assigned to transport your vehicle(s), a late cancellation fee equal to $300 will apply. All cancellation requests must be in writing and submitted via e-mail or fax. ATN reserves the right to cancel an order if we are unable to find a driver for the customer at the agreed price. 9.) CLAIMS: Claims of delay, damage, non-delivery, theft, or otherwise arising from or in connection with the transport of a vehicle must be filed with the transporting Carrier. ATN will not be liable in any event of any such claims, actual or alleged. All subrogation, litigation, or legal action against ATN must have right of venue in the state of Nevada. 10.) Customer certifies that they are the legal owner or agent of the vehicle being shipped; you certify that you are the responsible party and that you are of legal age and fully authorized to enter into this agreement. Customer further authorizes ATN to transport their vehicle. Customer further agrees that he/she has not already made a double booking with any other broker or auto transport carrier and if he/she has and has not cancelled with them prior to setting up the order with ATN, Inc. customer will incur the double booking fee that ATN, Inc. is charged by the dispatch board in the amount of $150.00. 11.) I authorize ATN. To charge the below card number for the deposit amount I have entered below if a deposit is required. I understand that this deposit is non-refundable and that I relinquish my right to dispute the charges if a driver has already been assigned to my order. If wire transfer or any other form of payment has been received by customer, once the driver has been assigned and dispatched and the vehicle has already been picked up and delivered, I relinquish my rights to a refund because time and money and costs involved in the transport have already been spent. If driver has attempted to contact me and I was not available at the time of his call for any reason, I also agree to a re-dispatching fee of $75.00. FILL OUT ALL INFORMATION REQUESTED ABOVE OR WE CANNOT ACCEPT YOUR ORDER. OUR BANK REQUIRES THAT THE CARDHOLDER BE THE PERSON WHO IS SIGNING AND ALSO REQUIRES A PHOTO ID OF THE CARDHOLDER AND THE FRONT AND BACK COPY OF THE CARD BEING USED TO BE FAXED OR SCANNED BACK TO US. FAX # IS 702-552-5777 AND EMAIL ADDRESS IS : SALES@AUTOTRANSPORTERSNATIONWIDE.COM.


text:
Q: Describe in R package DESCRIPTION a command line program as a requirement I am trying to write a R package that depends on latexmk.
However, I am unable to find how to tell in the DESCRIPTION of the package that it requires latexmk to be installed. I was hoping someone would have dealt with this before and could give me some help.
If that is not possible, is there any way to provide a custom warning message when installing a package if a command is not found on the PATH?

A: You want SystemRequirements: latexmk.
See Section 1.1.1 "The DESCRIPTION File" of Writing R Extensions:

Dependencies external to the R system should be listed in the 'SystemRequirements' field, possibly amplified in a separate README file.

There are few more reference to the field in later sections of the manual.

redpajama_set_name: RedPajamaStackExchange


text:
Wolfgang Tillmans in his studio, 2017
Photograph by Robbie Lawrence
In the studio with Wolfgang Tillmans RA
By Anna Coatman
The photographer's workspace in a former Berlin department store houses giant printers, tropical plants and DJ turntables. Anna Coatman meets the acclaimed artist and EU campaigner.
From the Spring 2017 issue of RA Magazine, issued quarterly to Friends of the RA.
It's snowing when I meet Wolfgang Tillmans RA in Berlin. The streets of Kreuzberg are covered in ice, and I skate tentatively across them to reach the photographer's studio – a converted 1930s department store designed by the modernist architect Max Taut. Inside, I find a haven of calm and warmth. In the kitchen area, January sun pours through a grid of windows, backlighting a jungle of potted grasses, ferns and tropical plants. Assistants are quietly chatting, making coffee and tearing chunks off a fat, freshly baked pretzel.
Tillmans arrives, wearing a bomber jacket, jeans and a beaming, roguish smile. For a spell in the 1990s, he captured the "ecstasy generation" for fashion magazines, developing a quotidian, naturalistic style of photography that would become his trademark. Thirty years on, with "RA" after his name and a Turner Prize under his belt, he still has an aura of youthful, casual cool.
Though he is just weeks away from opening a solo show at Tate Modern (13 years after his Tate Britain retrospective) and another at Fondation Beyeler in Basel, Tillmans seems relaxed, happy to guide me through a series of expansive rooms of the kind you would rarely find in London, where he also lives and works. Recently, he decided to spend more time over here, partly because of leaks in his Bethnal Green studio – "I mean, I had buckets up at night" – but also to "shift the life-work balance. When I was living in London full time I was not doing anything but work, just like everybody else."
Born in Remscheid, Germany, Tillmans became an Academician in 2013. He doesn't see himself as a Berliner: "I feel like a European." For his recent pro-EU campaign he produced T-shirts and downloadable posters with slogans such as "What is lost is lost forever".
"It's curious. A year ago the EU thing was about a particular vote. Now this amorphous, nationalist, right-wing sentiment is something that has become the central issue of world politics. And so how, as a sort of avant-garde artist, do you engage with the number one political subject?"
This is something that Tillmans has long been grappling with. Rather than being another retrospective, the Tate Modern show takes 2003 – the year of his Tate Britain exhibition – as a "point of departure". This was also "the year when the state we're in now began, with the Iraq War demonstrations, and the breaking of trust between the politicians and the people."
"The exhibition is only about an idea of now," he adds, gesturing to a couple of abstract pieces from his 'Lighter' series. "You're not supposed to read some commentary about concrete issues into these works. But all my work has an interest in describing what it feels like to be alive today."
In adjoining rooms, people are preparing work to be shipped for the exhibition: hand painting the edges of prints so that the white won't show when they are mounted; wrapping a still-life of a watermelon in plastic. There's a set of turntables – Tillmans, who has been making music since he was 17, has just released a techno EP and a "visual album", and is including a "Playback room" in the Tate show. The studio also has a collection of giant printers, including one Tillmans bought with his Turner Prize money. Having worked exclusively with digital photography since 2012, he now retouches and prints all of his own work. "Digital technology has actually made photography more hands-on for me."
In a corridor, we pass a tree – as a sapling, it appeared in his 1997 US Vogue shoot with Kate Moss. On every surface, objects, prints, pieces of fruit are placed artfully – recalling Tillmans' still-lifes, as well as the display tables that have featured in his installations. On the walls, snapshots, postcards and posters are pinned alongside original prints – images of the late George Michael, a puppy, Angela Merkel. "My daily work is really about questioning pictures – are they just attractive for the moment? Or are they something more? So I move them, take them down and put them up again. I live with them."
More from Wolfgang Tillmans' studio...
An empty space
"I'd had this place for fours years already but just as an empty space. I rented it in 2007 and literally had it empty to see what would happen with it. I had for example twelve different black and white photocopiers that I bought from eBay and old analogue photocopiers. I would ship things from London to here, just to keep the London studio working."
Every picture wants to be liked
"The purpose of the studio is hardly ever to shoot. I actually don't like the word shoot – to photograph. It's really about looking at the work, and testing it, and seeing it, because photographs have an inherent quality. It's not like a painting that is in progress and can be stopped at any point or can be moved forward at any point. A photograph says 'I'm here, I'm good, like me.' Every picture wants to be liked. And I want to like it because I made it and that whole psychology I have to overcome."
"Since my first show in New York in 1994, which I made a model for in my room in my London flat, I've always worked in 1/10 scale. It's not like every artist works with these models, it's just something I found really useful and then kept doing."
More than the eye can see
"You can now take pictures of more than the eye can see. They contain more information than you can ever remember. It's something like you could never paint – it's a new type of picture. And that is so intriguing – that these are pictures that could not have been made before. I have always been interested in the technique of photography. Kodak put out this film when I was 25 that was the sharpest film ever. It had an ISO of only 25 and I was so obsessed about it and I used it a lot but because of the low shutter speed every picture was blurred and all the sharpness was of course completely lost."
"I made music when I was 17 or 18. When you're a teenager you are actually quite lucid. I had 24 hours a day to think about the world, and myself in the world. And music at the time was, besides art, something I could reflect myself in. I was in a synth duo with a friend, but then he moved out of town, and so the whole thing just ended abruptly. I never mustered up the courage to find another partner. The whole thing rested for 28 years, and then two years ago I started again. I've been DJing for the last 15 years, rarely, but when I do it I aim to be good. I see it like a performance. My first two EPs were under my name, and then the third was released under the name of Fragile. But now I'm working on more things, and I just feel like I want it under my name, because it's part of my whole practice."
Four screens and a mic
"I've only made a few films. I have to feel a great deal of passion before I really get down to making one. For the Tanks in my Tate Modern exhibition I've made a sound piece from field recording ideas I've had over the years. It has visuals as well."
Wolfgang Tillmans is at Tate Modern until 11 June 2017, and at Fondation Beyeler, Switzerland, from 28 May–1 October.
Anna Coatman (@AnnaCoatman) is Assistant Editor of RA Magazine.
As well as free entry to all of our exhibitions, Friends of the RA enjoy one of Britain's most respected art magazines, delivered directly to your door. Why not join the club?
RA Magazine Spring 2017


Indulge yourself with the Vellux Plush Lux Blanket. Mink-like fabric cover provides extra warmth and soft comfort. Perfect for snuggling up on the couch, or as a lofty and warm comforter for your bed. The blanket is 100% hypoallergenic and velvety to the touch. Premium polyester fill is lofty, yet lightweight. Offered in burgundy, grey, sand and trooper blue. Available in Twin, Full/Queen and King sizes.
Use large capacity washer and dryer. Machine wash cold with similar colors. Use only non-chlorine bleach when needed. Tumble dry low, remove promptly.


Modern healthcare is more mobile than ever before. From biotelemetry to telemedicine, the healthcare industry has been transformed by wireless technologies that make use of cellular data networks to provide critical information to medical professionals and empower people to take charge of their own health.
Biotelemetry, or remote patient monitoring, provides doctors the ability to monitor their patients with heart conditions, diabetes, epilepsy, and other chronic conditions on an ongoing basis. It is estimated that this technology will save more than $27 billion in North America by 2018.
Telemedicine, the ability to conduct a virtual doctor visit via phone or videoconference, is anticipated to grow to 7 million patients in 2018, from 350,000 in 2013. Almost 75 percent of all doctor, urgent care, and ER visits could be handled safely and effectively with telemedicine.
Mobile health apps are giving us more control over our personal health than ever before. The ability to track calories, physical activity, and other information is making us more accountable to our own health. In fact, 93 percent of physicians believe that mobile health apps can improve a patient's health.
All of these technologies depend on a reliable mobile wireless network.


Serigraphy from German graphic-designer, photographer and painter Anton Stankowski. Print on paper from 1977. The work is signed by the artist and comes in a black frame without glass. H 80 / W 62 cm. It is available as a single work or in a set of four. Like Hermann Glöckner, Stankowski is known for not drawing such straight lines between art and design. Together with his partner Karl Duschek, the German maverick founded a graphic atelier in Stuttgart which remains intact until today.


I've written about electoral politics and the failure of activism (of many worthy types, not just 911 Truth activism) from time to time, at 911 blogger, JREF, and elsewhere. E.g., recently, I wrote a diary here, and commented here.
Even though I'm all over the map, politically, and don't like categorizing myself (other than independent), the blogs and fora that deal with electoral politics, that I follow, are on the progressive side of things. (I'm also a member of the Progressive Democrats of America, even though I've never been a Democrat. Make of that what you will. :-) ). Conservative web sites that I have long considered 'best of breed' are amconmag.com and chroniclesmagazine.org, but they don't have much to say about electoral politics.
I was at first going to highlight specific segments of this article in bold letters but have decided instead to endorse the whole thing. It certainly serves as a wake-up call to all activists -- both of anti-war AND 9/11 truth.
Cindy Sheehan, the soldier's mother who galvanized an anti-war movement with her monthlong protest outside President Bush's ranch, said Tuesday she's done being the public face of the movement.
In what she described as a "resignation letter," Sheehan wrote in her online diary on the "Daily Kos" blog: "Good-bye America ... you are not the country that I love and I finally realized no matter how much I sacrifice, I can't make you be that country unless you want it.


text:
Чиуауа () е щат разположен в северозападната част на Мексико с население 3 376 062 души (2009) и обща площ 244 938 km², което го прави първият по големина щат в Мексико. Столица е град Чиуауа.

География
На север щата граничи с американските щати Тексас и Ню Мексико, по протежението на границата между САЩ и Мексико.

Население
Населението на щата през 2009 година е 3 376 062 души, от тях 55 % са бели, индианците са около 5 % а останалите са предимно метиси.

Източници

Външни препратки

redpajama_set_name: RedPajamaWikipedia


text:
using BaseUtils.Win32Constants;
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;
using Conditions;

namespace ActionLanguage
{
    public partial class ActionPackEditorForm : ExtendedControls.DraggableForm
    {
        ActionFile actionfile;      // file we are editing
        string applicationfolder;   // folder where the file is
        ActionCoreController actioncorecontroller;  // need this for some access to data
        List<ActionEvent> events;   // list of events, UIs
        List<string> grouptypenames;    // groupnames extracted from events
        Dictionary<string, List<string>> groupeventlist;    // events per group name, extracted from events
        string initialtitle;

        const int panelxmargin = 3;
        const int panelymargin = 1;

        class Group     // this top level form has a list of groups, each containing a grouptype CBC, a delete button, and a UC containing its controls
        {
            public Panel panel;

            public ExtendedControls.ComboBoxCustom grouptype;       // present for any other than group name
            public ActionPackEditBase usercontrol;                  // present for any other than group name, but may or may not be set

            public ExtendedControls.ButtonExt action;               // always present

            public Panel groupnamepanel;                            // present for group name
            public Label groupnamelabel;                            // present for group name
            public ExtendedControls.ButtonExt groupnamecollapsebutton;               // grouping button
            public bool collapsed;                                  // if collapsed..

            public bool IsGroupName { get { return groupnamepanel != null; } }
            public bool IsEvent { get { return groupnamepanel == null; } }

            public void Dispose()
            {
                panel.Controls.Clear();

                if (usercontrol != null)
                    usercontrol.Dispose();

                if (grouptype != null)
                    grouptype.Dispose();

                if (groupnamepanel != null)
                    groupnamepanel.Dispose();

                if (groupnamelabel != null)
                    groupnamelabel.Dispose();

                if (groupnamecollapsebutton != null)
                    groupnamecollapsebutton.Dispose();

                if (action != null)
                    action.Dispose();

                panel.Dispose();
            }
        }

        List<Group> groups; // the groups

        public Func<string, List<string>> AdditionalNames;                          // Call back when we need more variable names, by event string
        public Func<string, Condition, ActionPackEditBase> CreateActionPackEdit;    // must set, given a group and condition, what editor do you want? change the condition if you need to

        #region Init

        public ActionPackEditorForm()
        {
            groups = new List<Group>();
            InitializeComponent();
        }

        public void Init(string t, Icon ic, ActionCoreController cp, string appfolder, ActionFile file, List<ActionEvent> evlist , string collapsestate)       // here, change to using events
        {
            this.Icon = ic;
            actioncorecontroller = cp;
            applicationfolder = appfolder;
            actionfile = file;
            events = evlist;

            grouptypenames = (from e in events select e.uiclass).ToList().Distinct().ToList();      // here we extract from events relevant data
            groupeventlist = new Dictionary<string, List<string>>();
            foreach (string s in grouptypenames)
                groupeventlist.Add(s, (from e in events where e.uiclass == s select e.triggername).ToList());

            bool winborder = ExtendedControls.ThemeableFormsInstance.Instance.ApplyToForm(this, SystemFonts.DefaultFont);
            statusStripCustom.Visible = panelTop.Visible = panelTop.Enabled = !winborder;
            initialtitle = this.Text = label_index.Text = t;

            ConditionLists clist = actionfile.actioneventlist;          // now load the initial conditions from the action file

            string eventname = null;
            for (int i = 0; i < clist.Count; i++)       // for ever event, find the condition, create the group, theme
            {
                string gname = clist.GetGroupName(i);
                if (gname != eventname)
                {
                    eventname = gname;
                    Group gg = CreateGroup(false, null, gname);
                    gg.collapsed = collapsestate.Contains("<" + gname + ";");
                    groups.Add(gg);
                }

                Condition cd = clist.Get(i);
                Group g = CreateGroup(true, cd, null);
                groups.Add(g);
            }

            foreach (Group g in groups)     // add the groups to the vscroller
                panelVScroll.Controls.Add(g.panel);

            PositionGroups(true);       //repositions all items

            Usercontrol_RefreshEvent();
        }

        #endregion

        #region Group Making and positions

        private Group CreateGroup(bool isevent, Condition cd, string name)     // create a group, create the UC under it if required
        {
            Group g = new Group();

            g.panel = new Panel();
            g.panel.SuspendLayout();
            g.panel.Height = 28;    // Def height

            if (isevent)
            {
                //g.panel.BackColor = Color.Green; // useful for debug
                g.grouptype = new ExtendedControls.ComboBoxCustom();
                g.grouptype.Items.AddRange(grouptypenames);
                g.grouptype.Location = new Point(panelxmargin, panelymargin);
                g.grouptype.Size = new Size(80, 24);
                g.grouptype.DropDownHeight = 400;
                g.grouptype.SetTipDynamically(toolTip, "Select event class");

                if (cd != null)
                {
                    g.grouptype.Enabled = false;
                    g.grouptype.SelectedItem = GetGroupName(cd.eventname);
                    g.grouptype.Enabled = true;

                    CreateUserControl(g, cd);
                }

                g.grouptype.SelectedIndexChanged += Grouptype_SelectedIndexChanged;
                g.grouptype.Tag = g;
                g.panel.Controls.Add(g.grouptype);
            }
            else
            {
                //g.panel.BackColor = Color.Yellow; // for debug
                g.groupnamepanel = new Panel();
                g.groupnamepanel.Location = new Point(3, 2);
                g.panel.Controls.Add(g.groupnamepanel);

                g.groupnamecollapsebutton = new ExtendedControls.ButtonExt();
                g.groupnamecollapsebutton.Text = "-";
                g.groupnamecollapsebutton.Size = new Size(16, 16);
                g.groupnamecollapsebutton.Tag = g;
                g.groupnamecollapsebutton.MouseDown += Groupnamecollapsebutton_MouseDown;
                g.groupnamecollapsebutton.Click += Groupnamecollapsebutton_Click;
                g.groupnamecollapsebutton.Location = new Point(2, 2);
                g.groupnamepanel.Controls.Add(g.groupnamecollapsebutton);

                g.groupnamelabel = new Label();
                g.groupnamelabel.Text = name;
                g.groupnamelabel.Location = new Point(24, 2);
                g.groupnamepanel.Controls.Add(g.groupnamelabel);
            }

            g.action = new ExtendedControls.ButtonExt();
            g.action.Text = ">";
            g.action.Size = new Size(24, 24);
            g.action.Tag = g;
            g.action.Click += Action_Click;
            toolTip.SetToolTip(g.action, "Move event up");
            g.panel.Controls.Add(g.action);

            ExtendedControls.ThemeableFormsInstance.Instance.ApplyToControls(g.panel, SystemFonts.DefaultFont);

            if (g.groupnamepanel != null)
                g.groupnamepanel.BackColor = ExtendedControls.ThemeableFormsInstance.Instance.TextBlockBorderColor;

            g.panel.ResumeLayout();

            return g;
        }

        private void CreateUserControl(Group g, Condition inputcond)        // create the UC under the group.  Condition will be either AlwaysTrue if new, or stored condition from actionprogram
        {
            if (g.usercontrol != null)
            {
                Controls.Remove(g.usercontrol);
                g.usercontrol.Dispose();
            }

            Condition cd = new Condition(inputcond);                       // make a copy for editing purposes.

            g.usercontrol = CreateActionPackEdit(g.grouptype.Text, cd); // make the user control, based on text/cond.  Allow cd to be altered

            // init, with the copy of inputcond so they can edit it without commiting change
            g.usercontrol.Init(cd, groupeventlist[g.grouptype.Text], actioncorecontroller, applicationfolder, actionfile, AdditionalNames,
                                    this.Icon, toolTip);

            ExtendedControls.ThemeableFormsInstance.Instance.ApplyToControls(g.usercontrol, SystemFonts.DefaultFont);

            g.usercontrol.Location = new Point(g.grouptype.Right + 16, 0);
            g.usercontrol.Size = new Size(5000, g.usercontrol.Height);

            g.usercontrol.RefreshEvent += Usercontrol_RefreshEvent;

            g.panel.Height = g.usercontrol.Height;
            g.panel.Controls.Add(g.usercontrol);
            //System.Diagnostics.Debug.WriteLine(g.GetHashCode() + " " + g.panel.Height);
        }

        private void PositionGroups(bool calcminsize)
        {
            int y = panelymargin;
            int panelwidth = Math.Max(panelVScroll.Width - panelVScroll.ScrollBarWidth, 10);

            bool collapsed = false;

            for (int i = 0; i < groups.Count; i++)
            {
                Group g = groups[i];

                if (g.IsGroupName)
                {
                    collapsed = g.collapsed;
                    g.groupnamecollapsebutton.Text = collapsed ? "+" : "-";
                }

                if (g.IsGroupName || collapsed == false)
                {
                    int farx = 100;

                    g.panel.Visible = true;
                    g.panel.Location = new Point(panelxmargin, y + panelVScroll.ScrollOffset);
                    g.panel.Width = Math.Max(panelwidth - panelxmargin * 2, farx); //, panelymargin + conditionhoff);
                    g.action.Location = new Point(g.panel.Width - 30, panelymargin);

                    int widthuc = g.panel.Size.Width - 4 - 32;
                    if (g.groupnamepanel != null)
                        g.groupnamepanel.Size = new Size(widthuc - g.groupnamepanel.Left, g.panel.Height - 8);

                    if (g.usercontrol != null)
                        g.usercontrol.Width = widthuc - g.usercontrol.Left;

                    //System.Diagnostics.Debug.WriteLine(g.GetHashCode() + " " + i + " " + g.panel.Height);
                    y += g.panel.Height + 2;
                }
                else
                    g.panel.Visible = false;
            }

            buttonMore.Location = new Point(panelxmargin, y + panelVScroll.ScrollOffset);

            int titleHeight = RectangleToScreen(this.ClientRectangle).Top - this.Top;
            y += buttonMore.Height + titleHeight + ((panelTop.Enabled) ? (panelTop.Height + statusStripCustom.Height) : 8) + 16 + panelOK.Height;

            if (calcminsize)
            {
                this.MinimumSize = new Size(800, y);
                this.MaximumSize = new Size(Screen.FromControl(this).WorkingArea.Width - 100, Screen.FromControl(this).WorkingArea.Height - 100);

                if (Bottom > Screen.FromControl(this).WorkingArea.Height)
                    Top = Screen.FromControl(this).WorkingArea.Height - Height - 50;
            }

            this.Text = label_index.Text = initialtitle + " (" + groups.Count.ToString() + " conditions)";
        }

        private string GetGroupName(string a)
        {
            ActionEvent p = events.Find(x => x.triggername == a);
            return (p == null) ? "Misc" : p.uiclass;
        }

        #endregion

        private void Usercontrol_RefreshEvent()
        {
            comboBoxCustomEditProg.Enabled = false;
            comboBoxCustomEditProg.Items.Clear();
            comboBoxCustomEditProg.Items.AddRange(actionfile.actionprogramlist.GetActionProgramList(true));
            comboBoxCustomEditProg.Enabled = true;

            foreach (Group g in groups)
            {
                if (g.usercontrol != null)
                    g.usercontrol.UpdateProgramList(actionfile.actionprogramlist.GetActionProgramList());
            }
        }

        #region UI

        private void buttonMore_Click(object sender, EventArgs e)
        {
            Group g = CreateGroup(true, null, null);
            groups.Add(g);
            panelVScroll.Controls.Add(g.panel);

            int groupabove = GetGroupAbove(groups.Count - 1);       // if group above exists and is collapsed, need to expand it to show
            if (groupabove != -1 && groups[groupabove].collapsed == true)
                groups[groupabove].collapsed = false;

            PositionGroups(true);
            panelVScroll.ToEnd();       // tell it to scroll to end
        }

        private void Grouptype_SelectedIndexChanged(object sender, EventArgs e)
        {
            ExtendedControls.ComboBoxCustom b = sender as ExtendedControls.ComboBoxCustom;
            Group g = (Group)b.Tag;
            CreateUserControl(g, Condition.AlwaysTrue());
        }

        private void buttonCancel_Click(object sender, EventArgs e)
        {
            DialogResult = DialogResult.Cancel;
            Close();
        }

        private void buttonOK_Click(object sender, EventArgs e)
        {
            string res = Check();

            if (res.Length > 0)
            {
                string acceptstr = "Click Retry to correct errors, Abort to cancel, Ignore to accept valid entries";

                DialogResult dr = ExtendedControls.MessageBoxTheme.Show(this, "Filters produced the following warnings and errors" + Environment.NewLine + Environment.NewLine + res + Environment.NewLine + acceptstr,
                                                  "Warning", MessageBoxButtons.AbortRetryIgnore);

                if (dr == DialogResult.Retry)
                {
                    return;
                }
                else if (dr == DialogResult.Abort || dr == DialogResult.Cancel)
                {
                    DialogResult = DialogResult.Cancel;
                    Close();
                }
            }

            actionfile.ChangeEventList(result);
            actionfile.WriteFile();

            DialogResult = DialogResult.OK;
            Close();
        }

        ConditionLists result;
        private string Check()
        {
            string errorlist = "";
            result = new ConditionLists();

            string eventgroup = null;

            int index = 1;
            foreach (Group g in groups)
            {
                string prefix = "Event " + index.ToStringInvariant() + ": ";

                if (g.groupnamelabel != null)
                {
                    eventgroup = g.groupnamelabel.Text;
                }
                else if (g.usercontrol == null)
                {
                    errorlist += prefix + "Ignored group with empty name" + Environment.NewLine;
                }
                else
                {
                    Condition c = g.usercontrol.cd;

                    if (c.eventname.Length == 0)
                        errorlist += prefix + "Event " + g.usercontrol.ID() + " does not have an event name defined" + Environment.NewLine;
                    else if (c.action.Equals("New") || c.action.Length == 0)        // actions, but not selected one..
                        errorlist += prefix + "Event " + g.usercontrol.ID() + " does not have an action program defined" + Environment.NewLine;
                    else if (c.fields == null || c.fields.Count == 0)
                        errorlist += prefix + "Event " + g.usercontrol.ID() + " does not have a condition" + Environment.NewLine;
                    else
                    {
                        result.Add(g.usercontrol.cd, eventgroup);
                    }
                }

                index++;
            }

            return errorlist;
        }

        private void comboBoxCustomEditProg_SelectedIndexChanged(object sender, EventArgs e)
        {
            if (comboBoxCustomEditProg.Enabled)
            {
                string progname = comboBoxCustomEditProg.Text.Replace(" (Ext)", "");     // remove the EXT marker

                ActionProgram p = null;
                if (!progname.Equals("New"))
                    p = actionfile.actionprogramlist.Get(progname);

                if (p != null && p.StoredInSubFile != null)
                {
                    p.EditInEditor(p.StoredInSubFile);         // Edit in the editor..
                }
                else
                {
                    ActionProgramEditForm apf = new ActionProgramEditForm();
                    apf.EditProgram += EditProgram;

                    apf.Init("Action program ", this.Icon, actioncorecontroller, applicationfolder,
                                AdditionalNames(""),        // no event associated, so just return the globals in effect
                                actionfile.name, p,
                                actionfile.actionprogramlist.GetActionProgramList(), "", ModifierKeys.HasFlag(Keys.Shift));

                    DialogResult res = apf.ShowDialog(this);

                    if (res == DialogResult.OK)
                    {
                        ActionProgram np = apf.GetProgram();
                        actionfile.actionprogramlist.AddOrChange(np);                // replaces or adds (if its a new name) same as rename
                        Usercontrol_RefreshEvent();
                    }
                    else if (res == DialogResult.Abort)   // delete
                    {
                        ActionProgram np2 = apf.GetProgram();
                        actionfile.actionprogramlist.Delete(np2.Name);
                        Usercontrol_RefreshEvent();
                    }
                }
            }
        }

        private void EditProgram(string s)  // Callback by APF to ask to edit another program..
        {
            if (!actionfile.actionprogramlist.EditProgram(s, actionfile.name, actioncorecontroller, applicationfolder))
                ExtendedControls.MessageBoxTheme.Show(this, "Unknown program or not in this file " + s);
        }

        private void buttonInstallationVars_Click(object sender, EventArgs e)
        {
            ConditionVariablesForm avf = new ConditionVariablesForm();
            avf.Init("Configuration items for installation - specialist use", this.Icon, actionfile.installationvariables, showone: false);

            if (avf.ShowDialog(this) == DialogResult.OK)
            {
                actionfile.ChangeInstallationVariables(avf.result);
            }
        }

        #endregion

        #region Form control

        private void panelVScroll_Resize(object sender, EventArgs e)
        {
            PositionGroups(false);
        }

        private void panel_minimize_Click(object sender, EventArgs e)
        {
            this.WindowState = FormWindowState.Minimized;
        }

        public void panel_close_Click(object sender, EventArgs e)
        {
            Close();
        }

        private void label_index_MouseDown(object sender, MouseEventArgs e)
        {
            OnCaptionMouseDown((Control)sender, e);
        }

        private void label_index_MouseUp(object sender, MouseEventArgs e)
        {
            OnCaptionMouseUp((Control)sender, e);
        }

        #endregion

        #region Action Click

        Group clickgroup;
        int clickgroupindex;

        private void Action_Click(object sender, EventArgs e)
        {
            Button b = sender as Button;
            clickgroup = b.Tag as Group;
            clickgroupindex = groups.IndexOf(clickgroup);
            moveDownToolStripMenuItem.Enabled = clickgroupindex < groups.Count - 1;
            moveUpToolStripMenuItem.Enabled = clickgroupindex > 0;
            insertGroupToolStripMenuItem.Enabled = clickgroup.IsEvent && (clickgroupindex == 0 || groups[clickgroupindex - 1].groupnamelabel == null);
            moveToGroupAboveToolStripMenuItem.Enabled = clickgroup.IsEvent && GetGroupAbove(clickgroupindex) > 0;
            moveToGroupBelowToolStripMenuItem.Enabled = clickgroup.IsEvent && GetGroupBelow(clickgroupindex) != -1;
            moveGroupDownToolStripMenuItem.Enabled = clickgroup.IsGroupName && GetGroupBelow(clickgroupindex + 1) != -1;
            moveGroupUpToolStripMenuItem.Enabled = clickgroup.IsGroupName && GetGroupAbove(clickgroupindex - 1) != -1;
            renameGroupToolStripMenuItem.Enabled = clickgroup.IsGroupName;
            contextMenuStripAction.Show(b.PointToScreen(new Point(b.Width, 0)));
        }

        private void insertGroupToolStripMenuItem_Click(object sender, EventArgs e)
        {
            string s = ExtendedControls.PromptSingleLine.ShowDialog(this, "Group Name:", "", "Enter group name", Icon);

            if (s != null)
            {
                Group gg = CreateGroup(false, null, s);
                panelVScroll.Controls.Add(gg.panel);
                groups.Insert(clickgroupindex, gg);
                PositionGroups(true);
            }
        }

        private void insertNewEventAboveToolStripMenuItem_Click(object sender, EventArgs e)
        {
            Group gg = CreateGroup(true, null, null);
            panelVScroll.Controls.Add(gg.panel);
            groups.Insert(clickgroupindex, gg);
            PositionGroups(true);
        }

        private void moveDownToolStripMenuItem_Click(object sender, EventArgs e)
        {
            groups.RemoveAt(clickgroupindex);
            groups.Insert(clickgroupindex + 1, clickgroup);
            PositionGroups(true);
        }

        private void moveUpToolStripMenuItem_Click(object sender, EventArgs e)
        {
            groups.RemoveAt(clickgroupindex);
            groups.Insert(clickgroupindex - 1, clickgroup);
            PositionGroups(true);
        }

        private void moveToGroupBelowToolStripMenuItem_Click(object sender, EventArgs e)
        {
            int inspos = GetGroupBelow(clickgroupindex);
            groups.RemoveAt(clickgroupindex);
            groups.Insert(inspos, clickgroup);
            PositionGroups(true);
        }

        private void moveToGroupAboveToolStripMenuItem_Click(object sender, EventArgs e)
        {
            int inspos = GetGroupAbove(clickgroupindex);
            groups.RemoveAt(clickgroupindex);
            groups.Insert(inspos, clickgroup);
            PositionGroups(true);
        }

        private void deleteToolStripMenuItem_Click(object sender, EventArgs e)
        {
            clickgroup.Dispose();
            groups.Remove(clickgroup);
            PositionGroups(false);
        }

        private void moveGroupUpToolStripMenuItem_Click(object sender, EventArgs e)
        {
            int groupabove = GetGroupAbove(clickgroupindex - 1);
            int enditem = GetGroupBelow(clickgroupindex + 1);
            if (enditem == -1)
                enditem = groups.Count;

            List<Group> tomove = groups.GetRange(clickgroupindex, enditem - clickgroupindex);
            groups.RemoveRange(clickgroupindex, enditem - clickgroupindex);
            groups.InsertRange(groupabove, tomove);
            PositionGroups(false);
        }

        private void moveGroupDownToolStripMenuItem_Click(object sender, EventArgs e)
        {
            // click item = 10, ng = 20 , sg = 30.. so remove 10-19.  ng->10.  Insert at 10+sg-ng
            int nextgroup = GetGroupBelow(clickgroupindex + 1); // must be there..
            int sgenditem = GetGroupBelow(nextgroup + 1); // may be there
            if (sgenditem == -1)
                sgenditem = groups.Count;

            int toremove = nextgroup - clickgroupindex;
            List<Group> tomove = groups.GetRange(clickgroupindex, toremove);
            groups.RemoveRange(clickgroupindex, toremove);

            groups.InsertRange(clickgroupindex + sgenditem - nextgroup, tomove);
            PositionGroups(false);
        }

        private int GetGroupBelow(int start)
        {
            for (int insert = start; insert < groups.Count; insert++)
            {
                if (groups[insert].IsGroupName)
                    return insert;
            }

            return -1;
        }

        private int GetGroupAbove(int start)
        {
            for (int insert = start; insert >= 0; insert--)
            {
                if (groups[insert].IsGroupName)
                    return insert;
            }

            return -1;
        }

        private void renameGroupToolStripMenuItem_Click(object sender, EventArgs e)
        {
            string s = ExtendedControls.PromptSingleLine.ShowDialog(this, "Group Name:", "", "Enter group name", Icon);

            if (s != null)
            {
                clickgroup.groupnamelabel.Text = s;
                PositionGroups(true);
            }
        }

        #endregion

        #region Collapse
        private void Groupnamecollapsebutton_MouseDown(object sender, MouseEventArgs e)
        {
            Button b = sender as Button;
            if (e.Button == MouseButtons.Right)
            {
                contextMenuStripCollapse.Show(b.PointToScreen(new Point(b.Width, 0)));
            }
        }

        private void collapseAllToolStripMenuItem_Click(object sender, EventArgs e)
        {
            foreach (Group g in groups)
            {
                if (g.IsGroupName)
                    g.collapsed = true;
            }

            PositionGroups(false);
        }

        private void expandAllToolStripMenuItem_Click(object sender, EventArgs e)
        {
            foreach (Group g in groups)
            {
                if (g.IsGroupName)
                    g.collapsed = false;
            }

            PositionGroups(true);
        }

        private void Groupnamecollapsebutton_Click(object sender, EventArgs e)
        {
            Button b = sender as Button;
            Group g = b.Tag as Group;
            g.collapsed = !g.collapsed;
            PositionGroups(g.collapsed == false);
        }

        public string CollapsedState()      // save it per session so its not so horrible if you reenter
        {
            string str = "";

            foreach (Group g in groups)
            {
                if (g.IsGroupName && g.collapsed == true)
                    str += "<" + g.groupnamelabel.Text + ";";
            }

            return str;
        }

        #endregion

    }
}

redpajama_set_name: RedPajamaGithub


text:
Q: Simons' identity I'm trying understand the proof of the Simons' identity:

$\begin{align*}
\nabla_k \nabla_l h_{ij} &= \nabla_i \nabla_j h_{kl} + h_{kl}h_{ip}g^{pq}h_{qj} - h_{il} h_{kp} g^{pq} h_{qj}\\
&+ h_{kj} h_{ip} g^{pq} h_{ql} - h_{ij} h_{kp} g^{pq} h_{qj} + \overline{R}_{kilp} g^{pq} h_{qj}\\
&+ \overline{R}_{kijp} g^{pq} h_{ql} + \overline{R}_{pjil} g^{pq} h_{kq} + \overline{R}_{0i0j} h_{kl} - \overline{R}_{0k0l} h_{ij}\\
&+ \overline{R}_{pljk} g^{pq} h_{iq} + \overline{\nabla}_k \overline{R}_{0jil} + \overline{\nabla}_i \overline{R}_{0ljk}.
\end{align*}$

I'm reading Lectures on Mean Curvature Flows by Xi-Ping-Zhu and I'm trying understand the following identity stated in his proof:

Then compute from the definition of $h_{ij}$
$$\nabla_k (\overline{R}_{0jil}) = \nabla_k \overline{R}_{0jil} + h_{ip} g^{pq} \overline{R}_{qjil} - h_{ik} \overline{R}_{0j0l} - h_{lk} \overline{R}_{0ji0}.$$

The local field of frames is the same as in the beginning of the section $2$ of this paper.
$\textbf{My attempt:}$
$\nabla_k \overline{R}_{0jil} = \nabla_k (\overline{R}_{0jil}) - \overline{R}(\overline{\nabla}_k \nu,e_j,e_i,e_l) - \overline{R}(\nu,\overline{\nabla}_k e_j,e_i,e_l) - \overline{R}(\nu,e_j,\overline{\nabla}_k e_i,e_l) - \overline{R}(\nu,e_j,e_i,\overline{\nabla}_k e_l)$
Computing the terms on the right separately,
$\begin{align*}
\overline{R}(\overline{\nabla}_k \nu,e_j,e_i,e_l) &= \overline{R}(h^q_k e_q,e_j,e_i,e_l)\\
&= g^{qp} h_{pk} \overline{R}(e_q,e_j,e_i,e_l)\\
\end{align*}$
The problem above is that I obtained the term $h_{pk}$ instead of $h_{ip}$.
The problem below is that I don't know what to do with the terms involving Christoffel symbols. I thought use geodesic normal coordinates, but the expression for $\nabla_k (\overline{R}_{0jil})$ involves the term $g^{pq}$, then I don't need geodesic normal coordinates, but I don't know what to do with these terms. I thought find a relation between Christoffel's symbols in order to use the Bianchi's indentity, but I couldn't find a relation.
$\begin{align*}
\overline{R}(\nu,\overline{\nabla}_k e_j,e_i,e_l) &= \overline{R}(e_i,e_l,\nu,\overline{\nabla}_k e_j)\\
&= \overline{R}(e_i,e_l,\nu,\overline{\Gamma}^m_{kj} e_m - h_{kj} \nu)\\
&= \overline{\Gamma}^m_{kj} \overline{R}(e_i,e_l,\nu,e_m)\\
&= \overline{\Gamma}^m_{kj} \overline{g}(\overline{R}(e_i,e_l)\nu,e_m)\\
&\overset{(1)}{=} - \overline{\Gamma}^m_{kj} \overline{g}(\nu,\overline{R}(e_i,e_l)e_m)
\end{align*}$
$\begin{align*}
\overline{R}(\nu,e_j,\overline{\nabla}_k e_i,e_l) &= \overline{R}(\nu, e_j,\overline{\Gamma}^m_{ki} e_m - h_{ki} \nu,e_l)\\
&= \overline{\Gamma}^m_{ki} \overline{R}(\nu,e_j,e_m,e_l) - h_{ki} \overline{R}(\nu, e_j,\nu,e_l)\\
&= - \overline{\Gamma}^m_{ki} \overline{R}(e_m,e_l,e_j,\nu) - h_{ki} \overline{R}(\nu, e_j,\nu,e_l)\\
&= - \overline{\Gamma}^m_{ki} \overline{g}(\nu,\overline{R}(e_m,e_l)e_j) - h_{ki} \overline{R}(\nu, e_j,\nu,e_l)
\end{align*}$
$\begin{align*}
\overline{R}(\nu,e_j,e_i,\overline{\nabla}_k e_l) &= \overline{R}(\nu, e_j,e_i,\overline{\Gamma}^m_{kl} e_m - h_{kl} \nu)\\
&= \overline{\Gamma}^m_{kl} \overline{R}(\nu,e_j,e_i,e_m) - h_{kl} \overline{R}(\nu, e_j,e_i,\nu)\\
&= - \overline{\Gamma}^m_{kl} \overline{R}(e_i,e_m,e_j,\nu) - h_{kl} \overline{R}(\nu, e_j,e_i,\nu)\\
&= - \overline{\Gamma}^m_{kl} \overline{g}(\nu,\overline{R}(e_i,e_m)e_j) - h_{kl} \overline{R}(\nu, e_j,e_i,\nu)
\end{align*}$
$(1)$: We use here the fact that $\overline{\nabla} g \equiv 0$ and the lemma of this lecture notes on page $4$ applied for $T \equiv g$.
Thanks in advance!

A: I finally understood how derived $\nabla_k \overline{R}_{0jil}$ correctly. I will leave in my OP my original attempt to call attention for mistakes that I was making because some details.
Firstly, observe that the definition of curvature tensor given by Do Carmo's book, which is widely used in graduate programs, is a bit different of the definition of curvature tensor used in Huisken's paper, where I read the Simons' identity and my motivation to try to prove this identity. Indeed, the definition of the curvature tensor used by Huisken can be found on page $6$ of this lecture notes written by a former Huisken's student. That said, I will proceed using this last definition as follows:
$\nabla_k \overline{R}_{0jil} = \nabla_k (\overline{R}_{0jil}) - \overline{R}(\overline{\nabla}_k \nu,e_j,e_i,e_l) - \overline{R}(\nu,\overline{\nabla}_k e_j,e_i,e_l) - \overline{R}(\nu,e_j,\overline{\nabla}_k e_i,e_l) - \overline{R}(\nu,e_j,e_i,\overline{\nabla}_k e_l)$
Computing the terms on the right separately,
$\begin{align*}
\overline{R}(\overline{\nabla}_k \nu,e_j,e_i,e_l) &= \overline{R}(h^q_k e_q,e_j,e_i,e_l)\\
&= g^{qp} h_{pk} \overline{R}(e_q,e_j,e_i,e_l)\\
\end{align*}$
As pointed out on the comments, the computation above isn't agree because a possible typo.
$\begin{align*}
\overline{R}(\nu,\overline{\nabla}_k e_j,e_i,e_l) &= \overline{R}(e_i,e_l,\nu,\overline{\nabla}_k e_j)\\
&= \overline{R}(e_i,e_l,\nu,\overline{\Gamma}^m_{kj} e_m - h_{kj} \nu)\\
&= \overline{\Gamma}^m_{kj} \overline{R}(e_i,e_l,\nu,e_m)\\
&= \overline{\Gamma}^m_{kj} \overline{g}(\overline{R}(e_i,e_l)e_m,\nu)
\end{align*}$
$\begin{align*}
\overline{R}(\nu,e_j,\overline{\nabla}_k e_i,e_l) &= \overline{R}(\nu, e_j,\overline{\Gamma}^m_{ki} e_m - h_{ki} \nu,e_l)\\
&= \overline{\Gamma}^m_{ki} \overline{R}(\nu,e_j,e_m,e_l) - h_{ki} \overline{R}(\nu, e_j,\nu,e_l)\\
&= \overline{\Gamma}^m_{ki} \overline{R}(e_m,e_l,\nu,e_j) - h_{ki} \overline{R}(\nu, e_j,\nu,e_l)\\
&= \overline{\Gamma}^m_{ki} \overline{g}(\overline{R}(e_m,e_l)e_j,\nu) - h_{ki} \overline{R}(\nu,e_j,\nu,e_l)
\end{align*}$
$\begin{align*}
\overline{R}(\nu,e_j,e_i,\overline{\nabla}_k e_l) &= \overline{R}(\nu, e_j,e_i,\overline{\Gamma}^m_{kl} e_m - h_{kl} \nu)\\
&= \overline{\Gamma}^m_{kl} \overline{R}(\nu,e_j,e_i,e_m) - h_{kl} \overline{R}(\nu, e_j,e_i,\nu)\\
&= \overline{\Gamma}^m_{kl} \overline{R}(e_i,e_m,\nu,e_j) - h_{kl} \overline{R}(\nu, e_j,e_i,\nu)\\
&= \overline{\Gamma}^m_{kl} \overline{g}(\overline{R}(e_i,e_m)e_j,\nu) - h_{kl} \overline{R}(\nu,e_j,e_i,\nu)
\end{align*}$
Observe that $\overline{g}(\overline{R}(e_i,e_l)e_m,\nu) = \overline{g}(\overline{R}(e_m,e_l)e_j,\nu) = \overline{g}(\overline{R}(e_i,e_m)e_j,\nu) = 0$ because the tangential component of the connection of the ambient space coincides with the connection of the hypersurface, therefore $\overline{R}$ coincides with $R$ when restrict to smooth vectorfields tangent to $T_pM \cong T_{X(p)}X(M)$ (I'm denoting by $X$ the immersion of $M^n$ into $N^{n+1}$) and $\overline{R}(e_i,e_l)e_m, \overline{R}(e_m,e_l)e_j$ and $\overline{R}(e_i,e_m)e_j$ are smooth vectorfields tangent to $T_pM \cong T_{X(p)}X(M)$ (I'm considering $e_i$ as local extensions to smooth vectorfields on $T_pM \cong T_{X(p)}X(M)$ to my argument be true), then the identity for $\nabla_k \overline{R}_{0jil}$ follows.


Brisbane based manufacturer of Pictobraille Braille and tactile signs, Shapemakers made their 35,000th BCA compliant tactile and Braille sign last week.
"This number underlines the strength of our product in the marketplace and the faith our customers have in our ability to provide reliable, cost effective BCA compliant solutions," says Production Manager, Nic Mather.
"And our ongoing research and development reflects our commitment to the long term success of the product range in the field."
"We also offer BCA compliant tactile ground surface indicator (TGSI) solutions including stair nosing as a part of our product range to the building industry and look forward to seeing the same success as we have with our standard and custom range of architectural and tactile and Braille sign products," says Nic Mather.


Big shot studios can deliver good outputs. However, their photos can lack authenticity and heart that the occasion calls for. Great wedding photographers invest in your nuptials and your story. This does not mean smart capital spending; this indicates devoting time, creativity and interest to your special day. This allows them to create genuine outputs that celebrate you and your partner, as well as your union.
Most couples choose to have pre-wedding shoots. This is a way to get excellent material to include in your invitation. It also gives you the chance to tell your loved ones your story. It does not need to be explicit. You can include elements that show how you bond. If both of you loves books, you might want to get a couples shot in front of a grand bookshelf. Your photographer can take an imagery that can tell your tale or a special anecdote.
Good photographs are appealing to the eyes. As artists, these service providers curate special shots to make the celebration stand out. They might use colours, items and other elements that complement your theme. This way, you are not only getting a set of pictures; you are also receiving pieces of art.
Photographs do not only show images and aesthetically pleasing visuals. It can also convey feelings. For your special day, you might want to give your loved ones a taste of the emotions felt during the ceremony. This can be done by capturing genuine reactions of guests. A good photographer will be able to capture candid moments.
If you are looking for a reliable wedding photographer, check out AS Photography here.


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Articles with The Rising
The Melvins Usher in 2021 with "Melvins TV: Volume 1, New Year's Evil" Livestream
LOS ANGELES – The Melvins usher in 2021 with "Melvins TV: Volume 1, New Year's Evil," a 5-song livestreaming event also featuring interviews and extras, on Dec. 31 at 12 noon pacific/3 pm eastern/8 pm gmt/7 am aedt. $5 tickets are available now via https://melvins.veeps.com. A limited-edition, commemorative poster and t-shirt, both featuring artwork by… Read more »
NAPALM DEATH and THE MELVINS Team Up For "Savage Imperial Death March" Tour in 2016
NAPALM DEATH and THE MELVINS join forces for the Savage Imperial Death March Tour, a six-week Spring trek that that kicks off on March 26 at The Marquee in Phoenix, Arizona. "We have been talking about doing a tour like this for a long time so we are thrilled it's finally happening," states Napalm Death bass… Read more »
The Melvins' Buzz Osborne Releases Full-Length Solo Debut June 3
Buzz Osborne, the legendary grunge progenitor who has helmed the Melvins for thirty plus years, releases his debut solo full-length album, This Machine Kills Artists, on June 3 via Ipecac Recordings. "I have no interest in sounding like a crappy version of James Taylor or a half-assed version of Woody Guthrie," said the grunge progenitor… Read more »


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gromova
MEVU ICO / Bounty Company
MEVU As a peer-to-peer decentralized network, MEVU allows people to wager at anything, anytime, against anyone. Change any situation
become a social bet; who can drink the fastest, who will win the next round of golf, or be the first to lose £ 10.
Without your friends, create new ones by searching or making sports bets on the MEVU global network.
MEVU brings the forecasts back to the basics of the people. That's how it should be.
We are proud to announce MEVU as Official Sponsor of the world's largest Ethereum Hackathon. It's great to meet everyone and see all the latest ETHWaterloo projects.
WHY MEVU?
Blockchain improves transparency and security
Fast and automatic payments at low historical cost
Removing 3rd party gouging
Minimize the disturbance of regulation
Global leaderboards encourage competition
HOW TO GET TOKEN MEVU?
Identify the oracle service
From other players by move
Claiming reward and rewards rank
Patent and winning tokens of exclusive games
Send ETH contract to MVU during THIS period
To facilitate a decentralized app, the MEVU smart contract uses our MVU token to ensure that the bets are automatically completed. The MEVU token (MVU) is an integral part of MEVU's ecosystem and economy. The main function of the MVU token is that the player stakes their balance which will allow the player to become an oracle, and report the incident results. When the oracle reaches a consensus, they receive a service fee from the completed bets.
OUR SOLUTIONS FOR THIS PROBLEM
"The American Gaming Association estimates that $ 400 billion is spent annually and 99 percent is illegal." BOBBY SKOFF CO-FOUNDER FROM SWISH ANALYTICS
Many operating costs, permissions, and startup costs start a sportsbook. The client is charged with a high fee to cover these costs and also forces to face a 3rd party institution. These institutions have their own hours of waiting and costs when the resulting results have changed. In addition, due to regulatory effects, security vulnerabilities and exploitation of personal information, players and operations both damage the loss of their funds. Aside from this problem, "The American Gaming Association estimates that $ 400 billion is spent annually and 99 percent illegal" - Bobby Skoff
MEVU uses a smart Ethereum blockchain contract to store and maintain player funds and information permanently and clearly, giving players confidence that their bets are safe and fast. MEVU makes betting fun, encouraging competition by matching players against each other instead of a faceless city. Players can manage their own chances, and bet on almost anything. By cutting the cost of traditional sportsbook, and 3rd party, MEVU players experience a low history of 2%.
REPRESENTIAL PRIZES
Another way to earn MVU is by inviting friends to become active users on the meVu platform. Once a so-called friend plays their first match on a platform, both players will get a reward. The rewards will have to pay the funds made at the end of the sales mark. The referral fund was established to get a potential 100,000 players in four years, assuming the price of MVU remains at a constant price of 0.50 cents. On top of the first of every month, meVu will adjust the amount of MVU tokens for the same $ 5 USD to be paid as a bonus. This number will be set to @ 10 base points less then what the market is trading MVU for. MVUs are more abundant in the year one and two as an opportunity for early adopters to be rewarded for creating liquidity, and contributing to the success of that network. The table below Details structure and roughly. The number of MVUs is available every year after general THIS. Plan to create a Reserves where MVU can be purchased directly from the built sites
TOKEN SALES
meVu will have both a private and public THIS all the details below: Interview: meVu will re-open a private pre-sale round Hain -14 May and run up to a hardcap of 15mm MVU token reached or up July 16 to come first.meVu is redeeming funds to complete the meVu's main platform development, testing and auditing to be ready for a major net launch. The remaining funds will be used for legal fees, and marketing meVu, for general THIS. Funds raised during the private sale will be used in accordance with those charts
42% __________________ Marketing / Sales
11% __________________ Consultant / HAIutsourcing
12% __________________ Counselor
35% __________________ Developers
The meVu (MVU) Public sale sign will begin on September 10, 2018, and will run until October 22, 2018.
this will be the largest and final distribution of the MVU ERC20 mark on a THIS, and our main goal is to distribute the global MVU to promote an equally effective platform. The MVU Token will be available to interested parties at stages at different price points, depending on when the token is received.
The first week of sale is the largest discount and on September 10 at 8:00 PM MVU Est is available at a rate from 1 MVU to 34 USD Sen. On September 19th, the price of the MVU will begin to increase linearly by half from 1 cent per day until it reaches 44 USD Sen. The sale will have a hard stamp of the 45MM MVU token which when reached will soon disable additional sales. The graph below outlines the timeline in which a token is sold, the price in USD, and the amount of token
At one end of which is sold 44Juta MVU is retired. Out of 44, 3.6 MM MVU will be provided for referrals and reward rankings, 2 MMakan will be provided for gifts, an additional 6 MMakan will be provided to the advisory team , 2mm MVU is allocated to team funding subject to an 18-month period holding, paid out quarterly as long-term incentives to meet the milestones we have laid out on MM map.4.6 MVU will be directed to a Fund User Adoption, 13 MM MVU will be reserver for partnership and the remaining 13 MM MVU will be in cash. The token is only available if it is sold on October 22, 2018.
There will also be special campaigns associated with the FIFA World Cup. Users who publish on our BETA and correctly predict the world of gaming trophies will be rewarded with the MVU Token. More details coming, closer to launching meVu BETA in June!
The experience of our team comes from the business that we build in the financial and technological sectors. After introducing Ethereum in 2016 through industry leaders, we realize the potential of bringing ideas to change the game just like us to live. From the start of working with MEVU, we became members of our local Ethereum community, and really became blockchain fans. We will continue to build MEVUs until we realize the future vision of our online bets. A fully decentralized peer-to-peer platform.
WEB: https://www.mevu.bet/
WHITEPAPER: https: //www.dropbox.com/s/rqa6wxzozpdvzyx/meVuwhitepaper.pdf? Dl = 0
TELEGRAM: https://t.me/joinchat/FKcKRUwJ1_T8zMK2Lueu3A
TWITTER: https://twitter.com/mevu_bet
FACEBOOK: https://www.facebook.com/betmevu/
Author: sourris01
My profile on BTT: https://bitcointalk.org/index.php?action=profile;u=856239
@gromova
На Golos с June 2018


Alchemic Cutie community · Created a new topic What game engine are you using?
I saw Sebastien's art from his AW fan art. Alchemic looks cool. What game engine are you using? And do you plan to port to Switch?


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State of the Art Laser Dentistry Dr. Aldrich is first in the area to have a Hoya ConBio Erbium:YAG all tissue laser capable of doing, surgery on soft and hard tissues, and many fillings with out an injection. He holds certification from The Academy of Laser Dentistry.
Laser Treatment Over Other Forms of Surgery?
In most instances lasers remove gum tissue without causing bleeding. The laser seals blood vessels and nerve endings. There may be less pain and swelling postoperatively. Because lasers can control the amount of bleeding, the surgical area is kept relatively dry which improves the dentist's visibility. There is also less risk of spreading blood-borne diseases and less trauma to adjacent teeth and tissues. Lasers used for cavity preparation often reduce or completely eliminate the need for local anesthetic.
Will I Still Need Anesthesia?
Probably not! In clinical studies 96% of patients required no anesthesia when the VersaWaveTM dental laser was used to remove decay. This means that you will not have to spend time waiting for numbing to take effect or to wear off. Additionally, multiple teeth in different parts of your mouth can be worked on in ONE visit. You may still choose to have anesthesia, while avoiding the sound and vibration of the drill. The aspect of laser surgery that most people appreciate is its comfort. While no treatment is always painless, the laser may reduce the need for postoperative pain medication and may reduce swelling and bleeding.
Dr. Aldrich is a member of the Academy of Laser Dentistry and has certification in Erbium laser (2005), Diode laser (2005) and Neodymium laser (1990) lasers wavelengths. Dr. Aldrich received training from The Academy of Laser Dentistry, The College of Clinical Laser Dentistry at the Nash Institute and from The Florida Dental Association.
If you have any questions about Laser Dentistry, please feel free to contact us.
There are a variety of lasers that can be used to treat periodontal disease.
Lasers can be used to remove inflamed tissues within a periodontal pocket.
Lasers can be used to trim away diseased gum tissue.
Lasers can even remove muscle pulls and benign tumors.
Lasers can be used to increase the length of a tooth above the gum line so that crowns can be properly placed.
Lasers treatments may be more comfortable than treatment with conventional instruments.
Lasers reduce the need for pain medication and may reduce swelling and bleeding.
The gum tissue may be removed without bleeding and swelling because the powerful light beam seals blood vessels and nerve endings.
Gum disease occurs when bacteria attack the supporting soft tissues and bone around your teeth.
These bacteria cause a body reaction which is responsible for the breakdown of the fibers that connect the tooth to the bone and create a space that dentists and hygienists call a periodontal pocket. These pockets are difficult to keep clean and the result is infection leading to the loss of bone.
The main cause of gum disease is poor oral hygiene. If left untreated, the supporting bone is destroyed and the teeth may eventually become loose and painful.


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Bottomlines under more pressure as competition intensifies
The slow recovery in the European Union, Southeast Europe's (SEE) main trading partner, the sluggish prospects facing nearly all economies in the region and shrunken domestic demand all left their mark on corporate bottomlines in 2013. At the same time, long overdue structural reforms, fiscal and regulatory volatility and poor infrastructure continued to be a drag on local businesses. Against this backdrop, the performance of the companies in the SEE TOP 100 ranking was expectedly lackluster – their combined revenues in 2013 were flattish, with nearly half of the entrants seeing a decline in their revenues.
With the European Union economies still struggling to rebound from the crisis, their SEE counterparts fared better in 2013 than they did a year earlier but economic growth in most countries in the region underwhelmed. Romania was among the few exceptions, as its economy expanded by a better-than-expected 3.5%. The other top performers – Moldova, Kosovo, Macedonia and Montenegro – are all economies with a lesser degree of integration with the EU and, consequently, have been weathering well the recent recession in the bloc.
Across the region, foreign direct investment and external demand remained low as did household consumption. Long overdue structural reforms, fiscal and regulatory volatility and poor infrastructure further compounded the business environment.
With the exception of Slovenia, where a banking crisis nearly triggered an international bail-out, the banking system in the region was stable in 2013 but high non-performing loan (NPL) levels undermined the ability to lend more to the private sector to stimulate growth.
Persistently high unemployment rates, a large pool of unskilled labour and untapped potential for innovations continued to curb the competitiveness of local businesses.
The combined revenue of the Top 100 non-financial companies in SEE for 2013 was largely unchanged at 103.98 billion euro versus 103.6 billion euro reported by the entrants in the 2012 ranking. Their net profit, however, totalled 2.63 billion euro, compared to 2.85 billion euro posted by companies included in the 2012 SEE TOP 100 ranking.
At the same time, the threshold for entry into the SEE TOP 100 ranking rose to 458 million euro from 440 million euro a year earlier, whereas the difference between the first and the last company in the ranking came down to 3.8 billion euro from 4.29 billion euro in 2012. As another indicator of how tightly packed the entrants in the latest edition of the ranking are, the difference between the first and the second-placed company dwindled to 115 million euro from 526 million euro in 2012.
The number of companies in the ranking which saw their revenues go down has been rising steadily over the past few years – to 42 in 2013 from 33 a year earlier and 21 in 2011. Furthermore, whereas in 2012 these companies were predominantly clustered towards the bottom of the chart – indicating that the bigger your business, the more resilient it is proving amid the challenging economic environment, a year later they are scattered throughout the ranking, with no less than six Top 10 entrants falling into this category.
Oil and gas firms unchallenged, automakers rev up
There were no surprises at the top of the ranking with OMV Petrom holding on to its no.1 spot for the seventh year in a row. However, the Romanian oil and gas heavyweight posted a drop in revenues by nearly 3.0% to 4.27 billion euro in 2013. At the same time, its net profit rose to 1.08 billion euro – the highest among the top 100 companies in SEE, from a revised 869.5 million euro a year earlier. With a 25.27% return on revenue, OMV Petrom was also the most profitable company in the ranking. The Romanian company has said it managed to offset the impact of depressed gas, power and fuel demand and an increased fiscal burden by large-scale investments over the past nine years. As the main challenges to its business, OMV Petrom has pointed to structural changes on the global gas and energy markets, the volatility of the fiscal and regulatory environment in Romania, and shrunken demand. These, to a large extent, hold true for all the representatives of the sector.
In the no.2 position, Romanian carmaker Dacia is the only non-oil or gas company among the top seven. Its revenues increased 44% to 4.2 billion euro in 2013 while its net profit rose to 75 million euro from 63 million euro. Dacia's turnover was positively influenced by the absorption of its 100%-owned unit Renault Industrie Roumanie as of January 1, 2013. In 2012 and 2013, Dacia renewed and expanded its entire range, planning to continue to invest heavily.
Oil and gas companies occupy the next five places in the ranking. It should be noted, though, that three of the top-placed oil and gas companies – Lukoil Neftochim, INA and Rompetrol Rafinare – are at the very low end of the table in terms of earnings. As many as eight of the ten biggest loss-makers in the ranking are oil and gas companies, with Serbian state-owned gas monopoly JP Srbijagas booking the heftiest loss. Even though oil and gas companies continue to dominate the rankings and generate the bulk of the total revenue, their total revenue dropped by 5.45% to 41.8 billion euro in 2013, whereas their total profit fell to 659 million euro from 1.09 billion euro. However, the three companies to post the biggest earnings in 2013 all hail from the oil and gas sector – OMV Petrom, Naftna Industrija Srbije, Romgaz. A total of 29 oil gas companies made it into the 2013 edition of the SEE TOP 100 ranking versus 28 a year earlier.
The company to book the sharpest rise in revenue was Romanian state-owned road construction and maintenance company, CNANDR. However, transfers from the state budget accounted for a large portion of its total revenues. It was followed by FIAT Automobili Srbija with a threefold increase in revenue to 1.6 billion euro, climbing up 71 spots – the highest jump in the ranking. The carmaker made its debut in the ranking only a year earlier.
Construction and the automobile manufacturing were also the industries to see the sharpest increase in the combined revenue of their representatives in the ranking – by 320% and 48%, respectively. And while the construction industry had just one representative, which would make any conclusions about the overall state of this sector mostly irrelevant, the automotive industry has been steadily expanding its presence in the chart over the past few years. It should also be noted here that the SEE TOP 100 ranking includes two companies of the rubber industry – Romania's Continental Automotive Products and Michelin Romania, whose core business is car tire manufacturing.
The SEE TOP 100 companies ranking welcomed 13 new entrants in its 2013 edition versus 16 a year earlier. They included four oil and gas firms, three automotive companies, three wholesale and retail traders, two electricity companies, and one furniture and decoration company.
The new entrants included one Bosnian and one Albanian company – Holdina d.o.o. Sarajevo and Bankers Petroleum Albania.
Romania, with a population of around 20 million, expanded its domination of the ranking, placing 53 companies on the 2013 list versus 51 a year earlier. For the first time since SeeNews started compiling the ranking, an Albanian company, Bankers Petroleum, has made it into the ranking. Just like in the previous years, none of the biggest companies in Montenegro or Moldova made the cut.
The big I's
Growth in SEE in 2014 and 2015 is expected to be moderate, mostly on the back of improving external demand. However, domestic demand is expected to remain weak, further constrained by slow progress in sorting out NPL levels and persistent unemployment. A more prolonged delay in the full recovery in the euro area and renewed volatility on the financial markets are some of the major risks facing the region. A further escalation of the Russia-Ukraine crisis could have a significant negative impact on the region, affecting virtually all sectors of the economy. Internally, the need to overhaul certain sectors of the economy – such as energy, weighs heavily on some of the countries' growth outlook. The business environment in the region is expected to remain largely unfavourable as political and regulatory uncertainties are expected to persist.
For SEE businesses, considering their rather limited capacity to influence the above-mentioned factors, this means they would need to invest heavily in their skills base and innovation potential to raise competitiveness.
If the performance of the companies in the SEE TOP 100 is anything to go by, the biggest corporations in the region seem unlikely to see a sharp rise in revenues in the near future, even less so – easy profits. Rather, they should be bracing up for tighter competition amid continuing market pressure and an uncertain demand environment. With high-tech companies almost entirely missing from the ranking, it is sectors such as automotive manufacturing and pharmaceuticals – which are more apt to adopt innovations – that seem poised for stronger growth despite the seemingly undisputed hegemony of oil and gas companies.
Tags: Albania, Bankers Petroleum Albania, Bosnia and Herzegovina, Bulgaria, carmaker, CNANDR, Continental Automotive Products, Croatia, Dacia, European Union, FIAT Automobili Srbija, Holdina d.o.o. Sarajevo, Holdina Sarajevo, INA, JP Srbijagas, Kosovo, Lukoil Neftochim, Macedonia, Michelin Romania, Moldova, Montenegro, Naftna Industrija Srbije, OMV Petrom, Renault Industrie Roumanie, Romania, Romgaz, Rompetrol Rafinare, SEE, SEE companies, SEE TOP 100, SeeNews, Serbia, Slovenia, Southeast Europe, Southeastern Europe, TOP 100


Ozark Woodturners meets at 1 p.m. on the 2nd Saturday of each month at the Lakeview Civic Center, 14 Skyles Lane, Lakeview, AR. However, we offer a Mentors Session beginning at 9 a.m. for members to work with our Mentors one-on-one and discuss specific projects. Other members arrive early to help set up the meeting room, visit, meet and greet, tool swap or sell items, Show & Tell log-in and raffle ticket sales for donated wood, supplier coupons and other items. Most meetings involve the exchange of ideas and give the members an opportunity to show their work. Guests are always welcome! Please come and join us one Saturday and see what woodturning is all about.


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Q: Dimension of $U\cap V$ using informations about other dimensions $X$  is linear space, $U$ and $V$ are subspaces of $X$, such that $\dim(U)=\dim(V)=5$. Then $\dim(X)=8\Rightarrow \dim(U\cap V)\ge 2$. Is true implication ?  For me it is true, but I am not sure about proof. Can you help me?

A: Recall that $\dim (U+V) = \dim(U) + \dim(V) - \dim(U \cap V)$ and that
 $\dim (U+V)\le \dim(X)$.
Plug in the values you have and the result follows.


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Master (United States, 2022)
Master takes its inspiration from Jordan Peele's 2017 feature, Get Out, which used horror as a framework for a deeper examination of systemic racism, but the methods employed by writer/director Mariama Diallo, making her feature debut, are less certain than Peele's. Although her approach to the social aspects of the film (a nuanced exploration of the subtle ways in which racist attitudes can percolate under the surface without exploding into the open) is effective, she loses her way when it comes to the horror elements. At its best, Master's ghost story is confused and half-formed, with obligatory tropes standing in for genuine tension-building. The dual-perspective might have worked better (and had a stronger payoff) if more time had been spent developing the characters' backgrounds and building relationships.
The action transpires at the fictional New England university of Ancaster College (which is based in part on Vassar, where it was filmed, and Yale, where Diallo matriculated) and follows two characters: Gail Bishop (Regina Hall), the first black master, and Jasmine Moore (Zoe Renee), an incoming freshman. Jasmine's introduction is handled economically, showing her arrival on campus (where almost all of the faces are notably white) and the reaction of students when they learn that her dorm room is "the one." We're immediately intrigued. Conversely, Gail's entrance feels awkward and forced. We learn about bits and pieces of her background but the movie is less interested in her as a character than as a representation. Being the first black master is supposed to be a "good" thing (an indication that Ancaster is moving into a more enlightened, diverse era), but it's really an opportunity for the rest of the masters to pat themselves on the backs for how broad-minded they have become.
Gail, who is presented as both self-aware and intelligent, knows the score, but she has accepted the position because she believes it to be an honor and hopes to work to bring about change from within. Meanwhile, as a rare black face, Jasmine finds herself on the receiving end of condescension and hostility. Her roommate isn't friendly and an unbreachable rift develops after she catches Jasmine kissing her boyfriend (who apparently engages in the make-out session to find out what it's like to kiss a black woman – or at least that's the impression we get). As for the room? It has a history. Ancaster's first black student killed herself there back in the '60s and a malignant spirit, perhaps connected to a Salem-era witch, is said to haunt the place. Although it doesn't seem to bother Jasmine's roommate, she begins to have nightmares and visions that cross over from the psychic to the physical. (There's a little of A Nightmare on Elm Street in this but not nearly enough to make it interesting.)
Master's approach to racism as a subtle cancer is compelling in its presentation, enhanced by precise details. The white people in the film, all born into privilege and believing themselves to be acting as liberal benefactors, don't see the condescension and hypocrisy in their actions. Diallo does a better job of establishing an uneasy tone as a result of this than she does by shoehorning in the witchcraft story, the past suicide, and the current nightmare-fueled things-that-go-bump-in-the-night.
The movie tries to use the supernatural horror aspects to amplify the racial ones but this is where Master loses its way. In the first place, the ghost story isn't well developed and it doesn't appear that a great deal of thought has been invested in fleshing it out. Its resolution is fundamentally unsatisfying and occurs only as a result of a plot device that seems artificial and contrary to what the movie has shown us about a character over the previous 75 minutes.
The message in Master about how the veneer of white liberalism can be a pernicious breeding ground for systemic racism is too important to shrug off and the manner in which it is presented is compelling and pointed. If only the horror elements had been up to the same standard… And, although both lead performances (by relative newcomer Zoe Renee and veteran Regina Hall) are strong, they are working with underwritten characters. Master is something of a mixed bag but and, for those hoping to find the next Get Out, the search must go on.
Cast: Regina Hall, Zoe Renee, Amber Gray, Ella Hunt, Talia Ryder, Talia Balsam, Bruce Altman
Screenplay: Mariama Diallo
Cinematography: Charlotte Hornsby
Music: Robert Aiki Aubrey Lowe
U.S. Distributor: Amazon Studios/Prime Video
MPAA Rating: "R" (Profanity, Disturbing Images)
Genre: Horror/Thriller
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