![]() The claim that "for a conservative force, the work done in changing an object's position is path independent" might seem to follow immediately if the M is simply connected. However, recall that simple-connection only guarantees the existence of a continuous homotopy satisfying we seek a piecewise smooth homotopy satisfying those conditions instead.įortunately, the gap in regularity is resolved by the Whitney's approximation theorem. ![]() M is called simply connected if and only if for any continuous loop, c: → M there exists a continuous tubular homotopy H: × → M from c to a fixed point p ∈ c that is, Let M ⊆ R n be non-empty and path-connected. The definition of simply connected space follows:ĭefinition 2-2 (simply connected space). In Lemma 2-2, the existence of H satisfying to is crucial the question is whether such a homotopy can be taken for arbitrary loops. Ībove Lemma 2-2 follows from theorem 2–1. G., “ The application of the linear-quadratic dose-effect equation to fractionated and protracted radiotherapy,” Br. ![]() K., “ The linear-quadratic model and most other common radiobiological models result in similar predictions of time-dose relationships,” Radiat. T., “ Application of the linear-quadratic model with incomplete repair to radionuclide directed therapy,” Br. L., and Sgouros G., “ Three-dimensional radiobiologic dosimetry: application of radiobiologic modeling to patient-specific 3-dimensional imaging-based internal dosimetry,” J. thesis, University of Duisburg-Essen, 2009. Jentzen W., “ Prätherapeutische 124I-PET∕CT-Speicheldrüsendosimetrie bei der Radiojodtherapie differenzierter Schilddrüsenkarzinome und Untersuchung von wichtigen Einflussfaktoren auf die 124I-Quantifizierung,” Ph.D.V., “ Application of the linear-quadratic model to radioimmunotherapy: Further support for the advantage of longer-lived radionuclides,” J. L., and Sgouros G., “ Extension of the biological effective dose to the MIRD schema and possible implications in radionuclide therapy dosimetry,” Med. P., Jamar F., and Pauwels S., “ Patient-specific dosimetry in predicting renal toxicity with (90)Y-DOTATOC: relevance of kidney volume and dose rate in finding a dose-effect relationship,” J. Barone R., Borson-Chazot F., Valkema R., Walrand S., Chauvin F., Gogou L., Kvols L.We have devised an algorithmic resolution of the Lea–Catcheside G-factor formula to enable BED calculation for any function, including piecewise defined functions. 2, 3 Analytic calculation of the BED requires functional knowledge of the entire fit, which is not possible with a piecewise defined function such as trapezoidal fitting. Recent attempts to extend the BED formalism to more general applications still depend on dose-rate contributions being analytically integrable. In many instances the lack of a clear pattern for fitting leads to a piecewise trapezoidal fit of the dose-rate data for integration to absorbed dose. 1 The difficulty in applying the BED is that formulas only exist for analytic application for exponential based functional fits. ![]() The success of the BED-response relationship established in the context of renal toxicity from radiopeptide therapy has given much credence to the formalism. The use of the biological effective dose (BED) has gained favor in dosimetry as it folds the biological effect of dose rate in with the standard absorbed dose.
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![]() It requires you to record each financial transaction just once in your overall bookkeeping record. Single-entry bookkeeping is the simpler bookkeeping choice. You'll need to choose a method before you can start keeping your financial record, since the method you choose determines how and where you record each financial transaction. There are two main bookkeeping methods: single-entry and double-entry. ![]() ![]() A financial expert can give individualized bookkeeping advice specific to your unique business while providing a more in-depth look at the basic principles we cover here. Along with reading this page to get a quick bookkeeping overview, we always recommend meeting with a CPA (certified public accountant) or bookkeeper long before you open your doors-or, if you've already launched your business, as soon as possible. But whether you plan to do bookkeeping yourself or outsource it to an accountant, it pays to understand the basics of bookkeeping.īelow, we'll break bookkeeping down to its most basic principles. ( Free bookkeeping software can help you save money if you're just starting out.) Alternatively, in-house or outsourced bookkeepers can update your books for you, typically for a monthly fee. Fortunately, most small-business bookkeeping software was made specifically for non-accountant small-business owners. If you've never worked in finance before, small-business bookkeeping can feel overwhelming. It's foundational to running a profitable business-after all, if you don't know how much you're making or where that money is going, you'll have a hard time finding ways to expand your profitability. Bookkeeping is the process of recording your business's financial transactions so that you know exactly how much you're making and where your money is going. ![]() gaze: Webster's New World College Dictionary, 4th Ed.gaze: Cambridge Advanced Learner's Dictionary.noun someone’s way of looking at someone or something more. Definition of navel gaze navel gaze Used to indicate a supposed pointless form of activity, or using an extensive amount of thought regarding a pointless topic. noun /stez (r)/ /strezr/ (informal) a person who studies astrology or astronomy Questions about grammar and vocabulary Find the answers with Practical English Usage online, your indispensable guide to problems in English. gaze: American Heritage Dictionary of the English Language to look at someone or something for a long time, for example because they are attractive or interesting, or because you are thinking of something else more.We found 40 dictionaries with English definitions that include the word gaze:Ĭlick on the first link on a line below to go directly to a page where "gaze" is defined. Jump to: General, Art, Business, Computing, Medicine, Miscellaneous, Religion, Science, Slang, Sports, Tech, Phrases Hence DROP the smaller index when it is an exact prefix of the larger. New comment: When you have both INDEX(a) and INDEX(a,b), the Optimizer sometimes picks the shorter (1-col) on even though the larger (2-col) would be better.In general, you should not have both only have the larger index. ![]()
The boys were abandoned by their stepmother, left on a roadside and then picked up and taken to Camp Roj, a Syrian refugee camp. The father is believed to have died while fighting in Raqqa sometime in 2017. He took them over to Syria, where he fought as an Islamic State fighter. The two boys were reportedly kidnapped from their home in Trinidad by their father in late 2014. Waters offered to fly the mother over to the Iraq-Syria border in his private jet, where the children were eventually rescued. The 75-year-old helped reunite Felicia Perkins-Ferreira with her two children - Ayyub, 7, and Mahmud, 11, - after spending four years apart. Send this page to someone via email emailįormer Pink Floyd frontman Roger Waters played a major role in a recent rescue mission within the borders of Syria.Taiwan is NOT China! Taiwan is a democracy committed to freedom of speech and human rights. Here, he sides with the world's largest human rights abuser, China, incorrectly claiming #Taiwan is part of #China. Taiwan is not part of China, never was, never will be.” Whereas, one added,” You can count on Roger Waters to consistently be on the wrong side. if you're prepared to be wrong about everything as you once said, this is when you are dead, dead wrong. The next one tweeted, “All in all you're just another brick in the Great Wall of China's lies. Why, as you say, if Taiwan is part of China, do the Taiwanese that visit the UK, use a Taiwan passport to enter your country, not a Chinese passport? Love your music but you could do well to learn more about Taiwan.” He can simply lounge around his mansions all day”, said one user as another posted, “Hey Roger, attached a Taiwanese Passport for your reference. ![]() He doesn’t face the torture and persecution of loved ones. “Why should anyone listen to Roger Waters on Taiwan and Ukraine? Senile multimillionaire musicians like Roger aren’t facing a future of enslavement and reeducation camps. ![]() Social media users were in no mood to forgive Waters for his new controversial remarks. The lyrics open with the image of a child sleeping 'in the glow of a Donald Duck light', a reference to Waters prior song 'The Tide Is Turning.'Waters goes on to ask why a culture whose primary concerns are luxury, consumption and petty values would 'kill the child'. ‘Why is Roger Waters being asked for an opinion on Taiwan’s sovereignty’ 'To Kill the Child' The first song of the single runs at 3 minutes and 31 seconds. Go and read about it." Chaos ensued chaos on Twitter soon after as the rocker got dragged for his remarks. And that's been absolutely accepted by the whole of the international community since 1948." He further shared, "And if you don't know that, you're not reading enough. While speaking on the matter, Waters mentioned China saying Joe Biden should "try and figure out what the United States would do if the Chinese were putting nuclear-armed missiles into Mexico or Canada." To this, the host said, "The Chinese are too busy encircling Taiwan as we speak." The musician promptly reverted, "They're not encircling Taiwan!" adding, "Taiwan is part of China. Why won't the United States of America encourage Zelensky, president, to negotiate, obviating the need for this horrific, horrendous war?" He also claimed that it was about the "action and reaction of NATO pushing right up to the Russian border" when Smerconish responded that Waters got it "reversed" and was "blaming the party that got invaded.” While discussing the Russia-Ukraine conflict, Waters further told the CNN host, “That is a huge crime. In Modern Warships Mod Apk you can fight with the real players' warships which are available in the game. 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When to take a shower after a tummy tuck will depend on the surgeon. Keeping these on for a few days after the surgery may not be the most comfortable thing in the world but it will keep some of the swelling out of the legs and will continue to reduce the chance of blood clots. ![]() Most surgeons will have the patient wear thigh high compression stockings during a tummy tuck to reduce the chance of blood clots. Small sips of water and crackers in the first few hours may help curb nausea early. Regardless, our patients are always prescribed anti-nausea medications just in case. This success is due to a combination of good anesthesia and good surgical technique that can reduce narcotic use. Most of our patients manage not to have any nausea after surgery. #6: Managing nausea:Įach tummy tuck patient handles surgery and anesthesia differently. Lowering and tightening the abdominal binder is best done while in the recliner or in bed. Marking where the binder is in terms of tightness is the first recommendation since undoing it to pull it down will require knowing how tight it should be redone. ![]() This results in the abdominal binder wanting to shift up while sitting. Proper placement and management of the abdominal binder can be challenging since a low tummy tuck incision will result in an abdominal binder that sits partly over the top part of the thighs. The abdominal binder is an integral part of the tummy tuck recovery process. Gauze squares are helpful to pad around the drain and sometimes pad between the binder and the pelvic “hip” bones. In my practice, I use a “no maintenance” dressing at the completion of the tummy tuck surgery, however, it always helps to have either 4×4 gauze or maxi pads around. In these cases, Spanks or Squeem with a hole cut out on the side for the drain can be very helpful. This is in part because I place my incision very low. For very curvy women, the abdominal binder may consistently want to ride up no matter how much its pulled down. #9: Spanks:Ĭompression shorts such a Spanks or Squeem can be worn early after a tummy tuck but a hole needs to be made on the side to let the drain come through. ![]() Although not 100% necessary, it may help take some of the pressure of the back initially. A walker or a cane may be helpful for some. Doing so, however, may result in some temporary back strain. Tightening of the abdominal muscles also creates some discomfort when completely upright therefore staying slightly bent at the waist is more comfortable during the first week and takes pressure of the incision. #10: Walker/cane:Ī tummy tuck naturally puts tension on the horizontal closure. We are always looking for ideas to provide our patients a better tummy tuck experience. I encourage anyone who reads this list and has advice of their own to comment below. 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