From the off, Germany were hesitant and sloppy in their build up, while Hungary showed energy without the ball and greater intent with it. On the pitch, the hosts also failed to sing to the same tune. In fact, the Germany faithful did little to draw attention to themselves, aside from repeatedly pelting Hungary’s corner-takers with paper missiles, used before the match to pay tribute to deceased Germany legend Uwe Seeler. Under the Friday night lights, the travelling Hungary fans outshone the home support, roaring their side on as one raucous black-clad unit. The time for experiments is over." Germany beaten on the pitch and in the stands We need to focus on getting things right now. "I also didn't expect us to create so little chances. "That goal isn't one you score every day, it is definitely avoidable," Flick told DW in the post-match press conference. But the ageing former Mainz striker, who was playing his penultimate game for Hungary before retiring from international football, has no right looking like a world-beater, as an inattentive Germany defence fell asleep at a corner and thus failed to keep a clean sheet for the sixth game running. Ádám Szalai's delightful backheel flick for the opener was reminiscent of Zlatan Ibrahimovic in his pomp. Image: Robert Michael/dpa/picture alliance Hungary's Adam Szalai flicks in the only goal of the game, condemning Germany to defeat. Hungary stride on as leaders of this highly competitive Nations League group, while Germany stumble out of the competition, now leaving them without any competitive fixtures between the World Cup and their home Euros in 2024, exactly the scenario Flick had urged his team to avoid ahead of the match. The first half was the worst half in my 14 matches." Departing Szalai haunts Germany "We weren't brave or proactive and played without confidence." "I think it was eye-opening, in the first half we played terribly", Flick told German broadcaster ZDF. The coach’s preceding 13-game unbeaten run looked impressive on paper, but a four straight 1-1 draws, a leaky defence, and finally this defeat revealed a truer reflection of Flick’s tenure. With less than two months to go until the World Cup kicks off, Germany fans still wonder what their strongest side looks like.
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Made by professionals, A View to a Kill is a glorious outbreak of fun. The 80s were not a time when actors staring their 60s in the face or even waving them a long goodbye could be held upright by CGI and our insatiable hunger for content.īut what a note to go out on. The Living Daylights (also criminally underrated, like its star Tim Dalton) would’ve had to have been renamed The Snoozing Goodnights. Moore thought he could’ve done another Bond but he couldn’t, really. But Dr Mortner’s shout from the blimp is just heartrending. Yes, his scientist “father” created him in a Nazi lab. And Zorin’s death, plummeting from said bridge, is touching. But it is a stuntman, and his mate playing Zorin. Yes, it’s not Moore having an axe fight hundreds of feet over San Francisco Bay. There’s the Eiffel Tower chase and leap there’s the car smashed in two and driven through Paris there’s the firetruck chaos there’s what Sims perfectly calls “the astonishing blimp denouement”, in which a slow-moving dirigible gets tangled up on the Golden Gate Bridge … and an airship gets into difficulty too. The famous “quiche” scene, a quite magnificently weird bit in which Bond whips up a nourishing meal for Stacey Sutton ( Roberts) using only what he finds in her cabinets, comes after a fight in which it is plainly not Roger kicking a bad guy flush in the head.īut those stunt doubles’ work is superb. Some of the back projection, while for example Roger is supposedly skiing, is laughable. Prey to the vulnerabilities of an ageing star, the joins are sometimes visible. This is Bond as operatic nonsense, the Aida of the oeuvre, grandiose and silly but right. John Barry provides a stirring score, Duran Duran a stupendous title song. Her sex scene with Moore is one of the strangest ever filmed. Then there’s Grace Jones’s May Day, perhaps the greatest Bond girl because she brings rare diversity and agency to the role and because she’s just so gloriously, utterly unusual. Ian Fleming wrote the books, remember, and as Christopher Hitchens pointed out, he was a rum piece of work. Moore thought that too strong for Bond but I think it channels a key Bond theme: actual nastiness and pain. Played by Fiona Fullerton, she’s the statuesque Russian seduced in a hot tub into which Moore’s pensionable Bond presumably poured Epsom salts.īut if all that somehow hasn’t convinced you of the greatness of Kill … here goes.Ī View to a Kill is a glorious romp, silly and camp but in a magnificently British way most successfully so when it’s actually trying to keep a straight face.Ĭhristopher Walken’s Zorin is one of the great Bond villains, totally ridiculous but oddly actually quite evil, cackling behind tinted specs while machine-gunning his own staff. That’s a nod to Pola Ivanova, the oft-overlooked third Bond girl of Kill, after Grace Jones and Tanya Roberts. There is also Robbie Sims, author of Quantum of Silliness: The Peculiar World of Bond, James Bond who I talked to for this piece and who tweets under the handle The Bubbles Tickle My Tchaikovsky. Among key artefacts one day to be puzzled over by digital archaeologists is this video about how Max Zorin, in this very 1985 entry in the canon, “finds a computer indispensable”. Such devotees of Kill, as we true initiates know it, have developed a flourishing subculture. He’s currently surviving lockdown in south London with only pillows with Sir Roger’s face on them for company, which even he would admit is a bit odd. So when I was charged with making the case that A View to a Kill is not the subject of ridicule it has in some places sadly become, I discussed it with Tom. I’ve even interviewed Tom about his love for Gold, Moore’s 1974 non-Bond masterpiece which essentially supplies the plot for A View to a Kill: a villain plans a calamitous flood to boost the price of a commodity he wants to control (microchips this time), only to be stopped by an ageing knitwear model and the women he seduces. Put our free WeatherStreet weather lookup on your web page. Mostly clear in the evening, then partly cloudy with a slight chance of showers and thunderstorms after midnight. Mostly clear in the evening, then becoming partly cloudy. Partly sunny with a slight chance of showers and thunderstorms. Waterloo, IA Weather and Radar Map - The Weather Channel Skip to Main Content Accessibility Help Waterloo, IA Weather 25 Today Hourly 10 Day Radar Video Waterloo, IA. (Weather station: Waterloo Municipal Airport, USA). Southwest winds around 10 mph, becoming west after midnight. Today Hourly 10-Day Calendar History Wundermap accesstime 3:54 AM CDT on J(GMT -5) Updated 9 hours ago - 62 68 F like 68 Clear N 0 Tomorrow's temperature is forecast to be. Weather Today Weather Hourly 14 Day Forecast Yesterday/Past Weather Climate (Averages) Currently: 58 ☏. Chance of rain 40 percent.Ī chance of thunderstorms. A chance of showers with a slight chance of thunderstorms in the afternoon. Southwest winds around 5 mph, becoming northwest. Partly cloudy with a slight chance of showers and thunderstorms. Waterloo, IA Doppler Radar Weather - Find local 50701 Waterloo, Iowa radar loop and radar weather images. Interactive Radar Weather Maps Schnacks Weather Blog Weather Cameras Closings & Delays Interactive Radar Waterloo, IA Loading Weather Features Interactive. All critical information should be independently verified.50703 WEATHER WARNINGS (SEVERE T-STORM & TORNADO) Weather Underground provides local & long-range weather forecasts, weatherreports, maps & tropical weather conditions for the Waterloo area. Any person that relies on any information obtained from this site does so at his or her own risk. WEDNESDAY NIGHT Partly cloudy in the evening, then clearing. Black Hawk County, the Black Hawk County Assessor and their employees assume no responsibility for the consequences of inappropriate uses or interpretations of the data. WEDNESDAY Mostly cloudy with showers and thunderstorms likely in the morning, then partly sunny with a slight chance of showers and thunderstorms in the afternoon. No warranties, expressed or implied, are provided for the data herein, its use or its interpretation. See the recorded documents for more detailed legal information. The maps included in this web site do not represent a survey and are compiled from official records, including plats, surveys, recorded deeds, and contracts, and only contain information required for government purposes. Todays and tonights Waterloo, IA weather forecast, weather conditions and. Waterloo, IA Forecast Today Hourly Daily. The interactive map makes it easy to navigate. Check out our current live radar and weather forecasts for Waterloo, Iowa to. Humidity 52 UV Index 9 of 11 Sunrise 5:37 am Sunset 8:50 pm Tue 04 Night 69KWWL Storm Track 7, Waterloo, Iowa. To enter this portion of the Black Hawk County Website you must agree to the following terms:īlack Hawk County, the Black Hawk County Assessor and their employees make every effort to produce and publish the most current and accurate information possible. See the latest Waterloo, IA RealVue weather satellite map, showing a realistic view of Waterloo, IA from space, as taken from weather satellites. Please use the following website to locate and display Real Estate Assessment and Tax Administration System information for properties within Black Hawk County: You can read more in Luxon's documentation. By contrast, Luxon only works on IE 10 and higher and requires a polyfill to do so. Moment works well on Internet Explorer 8 and higher. However there are some possible reasons you might want to keep using it. In most cases, you should not choose Moment for new projects. We will release data updates for Moment-Timezone following IANA time zone database releases.We will address critical security concerns as they arise.However, since we understand that Moment is well established in millions of existing projects: If the string or format you are asking to change is reflected in the CLDR, then you must submit a change there first and have it accepted.You must make a new compelling argument for locale changes with significant, non-anecdotal evidence to support your position.We may choose to not accept corrections to locale strings or localized date formats, especially if they have been argued successfully for their present form.With specific regard to Moment's internationalization locale files: We may choose to not fix bugs or behavioral quirks, especially if they are long-standing known issues.We will not be making any major changes (no version 3).We will not be addressing tree shaking or bundle size issues.We will not be changing Moment's API to be immutable.We will not be adding new features or capabilities.We now generally consider Moment to be a legacy project in maintenance mode. We would also like to promote the Temporal addition to the JavaScript language, which is looking for feedback and contributors. Instead, we would like to recommend alternatives that are excellent choices for use in modern applications today. We recognize that many existing projects may continue to use Moment, but we would like to discourage Moment from being used in new projects going forward. The Moment team has discussed these issues at length. 4 alternatives to moment.js for internationalizing dates.You Probably Don't Need Moment.js Anymore.Recently, Chrome Dev Tools started showing recommendations for replacing Moment for the size alone. Libraries like Luxon (and others) take advantage of this, reducing or removing the need to ship your own data files. Modern web browsers (and Node.js) expose internationalization and time zone support via the Intl object, codified as ECMA-402. If one needs internationalization or time zone support, Moment can get quite large. Moment doesn't work well with modern "tree shaking" algorithms, so it tends to increase the size of web application bundles. Since this has already been accomplished in other libraries, we feel that it is more important to retain the mutable API.Īnother common argument against using Moment in modern applications is its size. We address it in our usage guidance but it still comes as a surprise to most new users.Ĭhanging Moment to be immutable would be a breaking change for every one of the projects that use it.Ĭreating a "Moment v3" that was immutable would be a tremendous undertaking and would make Moment a different library entirely. This is a common source of complaints about Moment. Given how many projects depend on it, we choose to prioritize stability over new features.Īs an example, consider that Moment objects are mutable. Moment has evolved somewhat over the years, but it has essentially the same design as it did when it was created in 2011. The modern web looks much different these days. Var changeddate = moment().Moment.js has been successfully used in millions of projects, and we are happy to have contributed to making date and time better on the web.Īs of September 2020, Moment gets over 12 million downloads per week! However, Moment was built for the previous era of the JavaScript ecosystem. Var changeddate = moment().format(" LTS") Var changeddate = moment().format(" D MMM YYYY") For this purpose, put them in square brackets as shown below − You can also add characters to the format method. Var changeddate = moment().format("MMMM Qo DD YYYY") Var changeddate = moment().format("Do dddd MMMM gggg") Observe the following examples to gain better understanding on token passed to format − Example 1 Month name, day of month, day of week, year, time The following table shows a list of tokens to be used on moment based on locale − Unit The following table shows a list of tokens to be taken as input string for format method − Unit Note that when you use only the format method, it displays current Date and Time as shown above. Observe the following examples to gain a better understanding on displaying date using the format method. With format, it tries to convert the units given to the corresponding display of date/time. For example, moment().format("MMMMD") will display April for MMMM, that is the current month and current date for D. This method will display the date/time details. Zhang, J, Cole, S, Richardson, D, and Chu, HĪ Bayesian approach to strengthen inference for case-control studies with multiple error-prone exposure assessments Objective: To investigate the prevalence of diabetes and glycemic control in the Chinese adult population. Network meta-analysis of randomized clinical trials: Reporting the proper summaries Importance: Noncommunicable chronic diseases have become the leading causes of mortality and disease burden worldwide. Jing Zhang affiliates with no hospital, cooperates with many other doctors and specialists in medical group Columbia Counseling Center Pa. Having more than 41 years of diverse experiences, especially in PSYCHIATRY, Dr. Zhang, J, Carlin, B, Neaton, J, Soon, G, Nie, L, Kane, R, Virnig, B, and Chu, H Jing Zhang is a Psychiatry Specialist in Columbia, Maryland. 141-154, Nova Science Publishers, Hauppauge, NY. Stephen Abrokwah, Vice President and Marketing Actuary, Swiss Reinsurance America. In: Network meta-analysis: Evidence synthesis with mixed treatment comparison, ed. Chikezie Okoli, Economist/Data Analyst, A2F Consulting, Maryland. Statistical methods in medical research:TBD - epub.ĭetecting outlying trials in network meta-analysis. There are 5 references in this bibliography folder.īayesian hierarchical models for network meta-analysis incorporating nonignorable missingness Ellison, Michael D.This folder holds the following references to publications, sorted by year and author. Ian Robins, Riccardo Soffietti, Jing Wu, Phillipe Metellus, Uri Tabori, Ute Bartels, Eric Bouffet, Cynthia Hawkins, James T. The NPI number of this provider is 1356304372 and was assigned on April 2006. Lieberman, Tom Mikkelsen, Antonio Omuro, Ian F. Jing Zhang is an internist established in Staten Island, New York and her medical specialization is Internal Medicine with more than 40 years of experience. Fisher, Maryam Fouladi, Amar Gajjar, Stewart Goldman, Eugene Hwang, Marcel Kool, Harshad Ladha, Elizabeth Vera-Bolanos, Khalida Wani, Frank S. Elbabaa, Howard Colman, Girish Dhall, Paul G. Alonso, Teresa Tuñón, Ulrich Schüller, Karel Zitterbart, Jaroslav Sterba, Jennifer A. Karajannis, David Zagzag, Helen Wheeler, Katja von Hoff, Marta M. Eberhart, Sama Ahsan, Maura Massimino, Felice Giangaspero, Francesca R. Leonard, Corrine Gardner, Wiesława Grajkowska, Lola B. Illinois(2) Indiana(1) Maryland(3) Massachusetts(2) Michigan(1). Hamilton, Peter Hauser, Nada Jabado, Kevin Petrecca, Shin Jung, Luca Massimi, Massimo Zollo, Giuseppe Cinalli, László Bognár, Almos Klekner, Tibor Hortobágyi, Sarah Leary, Ralph P. Jing Zhang is a Manager, Actuarial Services at AmeriHealth Caritas based in Philadelphia, Pennsylvania. Find Xueli Zhangs phone number, address, and email on Spokeo, the leading online. Faria, Sofia Nunes, Jaume Mora, Ronald L. Zihan Zhang, Wanjiang Wang, Junkang Song, Zhe Wang and Weiyi Wang. Nageswara Rao, Caterina Giannini, Claudia C. Rezaul Karim, Marzia Dulal and Mohammad Shayekh Munir Lean. He is affiliated with Aurora Medical Center Summit and Aurora Sheboygan Memorial Medical Center. UT Dallas CourseBook is an advanced tool for obtaining information about classes at The University of Texas at Dallas (UTD). He is currently licensed to practice medicine in Wisconsin and Pennsylvania. Muraszko, Daniela Pretti da Cunha Tirapelli, Sueli Mieko Oba-Shinjo, Suely Kazue Nagahashi Marie, Carlos Gilberto Carlotti, Ji Yeoun Lee, Amulya A. Jing Zhang, MD is a board certified dermatologist in Oconomowoc, Wisconsin. She is affiliated with Abrazo Central Campus. She did her postdoc training in the Computational Biology and Bioinformatics Program at Yale University. Jing Zhang, MD is a family medicine specialist in Henderson, NV. Van Meir, Satoru Osuka, Xing Fan, Karin M. in Electrical Engineering and Molecular and Computational Biology from the University of Southern California in 2012. Eisenstat, Dorcas Fulton, Frank van Landeghem, Mariarita Santi, Marie Lise C. Lipp, Christopher Dunham, Juliette Hukin, David D. Cavalli, Kenneth Aldape, Marc Remke, Martin Mynarek, Stefan Rutkowski, Sridharan Gururangan, Roger E. See the complete profile on LinkedIn and discover Jing’s. Mack, Alvaro Lassaletta, Tong Lin, Kristian W. View Jing Zhang’s profile on LinkedIn, the world’s largest professional community. She also showed her power of Chinese women,' one netizen. 'Zhang Jing helped convey Chinas voice to the world through her specialty and compared to the US translator, she performed far better. Vijay Ramaswamy, Thomas Hielscher, Stephen C. When Zhang Jing graduated, the Ministry of foreign affairs recruited more than 200 translators for the first time. Therapeutic Impact of Cytoreductive Surgery and Irradiation of Posterior Fossa Ependymoma in the Molecular Era: A Retrospective Multicohort Analysis Allow to cool completely and store in the refrigerator for up to 1 week or in the freezer for up to 6 months. To serve, drizzle with your choice of chili crisp, and garnish with fresh cilantro.Ĭombine all ingredients in a large stock pot and bring to a boil over medium-high heat. Chill in the refrigerator for at least 4 hours or overnight. Add heavy cream and season to taste with salt and pepper. Kitchen Tips Recipe Conversion and Scaling Cooking and Baking Conversions: Ounces, Cups, Metric, and More Instead of endlessly searching the Internet for your cooking and baking conversions, use these handy conversion charts to convert with confidence. Simmer for 10 minutes, then use an immersion blender to blend the soup until smooth. Add corn kernels and cook for another 2-3 minutes. Add shallot and garlic, then saute until fragrant and translucent, about 2-3 minutes. In a Dutch oven, heat 1 tablespoon butter over medium heat. 1 US Legal Cup 16. Save shucked cobs in the freezer for future batches of corn stock. You should have about 4 cups of corn kernels. 1 US cup is equal to 16 US tablespoon (tbsp) 1 US tablespoon (tbsp) is equal to 0.0625 US cups. 1 tablespoon 3 teaspoons 1/2 fluid ounces 2 tablespoons 1/8 cup 1 fluid. 1 Instructions: Sprinkle frozen chicken wings with salt and pepper and 2 Tbsp. We also tell you the basic formula for these kitchen conversion units and even demonstrate it further by using it along with an example. Repeat with remaining cobs and set corn kernels aside. 6/11 cupsNeed a quick conversion for tablespoon measurements to cups. Place 1 shucked ear of corn on top of the smaller bowl on its stalk end and use a sharp knife to remove the kernels (which should fall into the larger bowl). Add 1 tablespoon (15 mL) of lemon juice or vinegar to a measuring cup. Place a small metal bowl upside down inside a larger metal bowl. 3 cups corn stock (recipe below you can also substitute vegetable stock) Multiple subtitles in different languagesĪ penny saved is a penny earned, and you can earn money simply by finding a safe and free source for entertainment. Mobile-friendly and Chromecast supported Please use this list to spot which 123Movies is authentic and which is fake. Nowadays there are a lot of websites using similar URLs as 123Movies, here is a list of the features that we are most known for. Plus, we recommend you a reliable VPN and AdBlock when surfing online. Understanding that, 123Movies has added a lot of features to protect our users such as no registration, no cost, controlled ads and quick customer service. If you accidentally click on these, you are a potential victim of identity theft or malware and such. 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Because we are all recommended to use a trusted VPN when going online regardless of what we do, this would add extra protection for you on the Internet anyway. Is 123Movies or Fmovies better for streaming movies and shows?Īlthough 123Movies claimed to shut down in 2018, movie enthusiasts can still get access to the site using a reliable VPN. The most important thing is you can get full access to every movie for free, without registration and cyber risks as we limit ads and commercials. Our database is huge with approximately millions of titles for you to browse and watch. 123movies includes films with different qualities such as HD, HD-RIP, Blu-ray and camera quality. If you cannot find any titles, we also have the request feature allowing you to tell us what you want and we will make it available for you shortly.Įstablished in 2015, 123movies is one of the most popular free online movie websites with around 98 million users at peak. 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Yeah, he's that much better than every other TE.ġ8. Travis Kelce, Chiefs (TE1): Was outscored by only seven non-QBs in fantasy points. Tyreek Hill, Dolphins (WR4): Just needs his quarterback to stay on the field.ġ7. Christian McCaffrey, 49ers (RB2): Credit where it's due: He played in all 17 games, and played awesome.ġ6. Austin Ekeler, Chargers (RB1): Scored 38 touchdowns the past two seasons. Aaron Rodgers, Jets (QB10): Sure seems likely his rough 2022 season was aberrant, and he is unlikely to disappoint again.ġ4. Cooper Kupp, Rams (WR3): Don't expect 2021 statistics again, but he can still dominate, and should return to full health after ankle surgery.ġ3. Ja'Marr Chase, Bengals (WR2): Bengals offense should be terrific for a long time.ġ0. Gets the nod as first WR off the board here.ĩ. Justin Jefferson, Vikings (WR1): Led league in receptions and receiving yards. Justin Herbert, Chargers (QB7): Fantastic talent, and wide receiver group has been upgraded.Ĩ. Justin Fields, Bears (QB6): Passing skills should improve as team upgrades his options.ħ. Lamar Jackson, Ravens (QB5): A bit of drama with him this offseason, but still a remarkable talent.Ħ. Joe Burrow, Bengals (QB4): Perhaps a tier below the Big Three QBs, but he's also ahead of the next tier, at 21.9 points per game.ĥ. Jalen Hurts, Eagles (QB3): He led the league with 25.2 PPR points per game. Josh Allen, Bills (QB2): A bit more upside with Allen, because he runs for more yards and scores, and largely safe, too.ģ. Patrick Mahomes, Chiefs (QB1): Coming off his first season leading all QBs in fantasy scoring since 2018, but he is also the safest pick.Ģ. Sign up for a team or reactivate your league today!ġ. The 2023 fantasy football season starts now! Regardless, enjoy as you do your homework in advance of next season! If your league is of the standard flex variety, just ignore the presence of quarterbacks. It might look odd to see the lowest-ranked fantasy passers ranked ahead of typical RB2 and WR2 options, but the potential scoring impact demands it. We know many of you compete in superflex formats that invite/covet second quarterbacks in starting lineups, so these rankings account for that. Welcome to the fantasy football season and our early superflex rankings for the 2023 NFL season. You have reached a degraded version of because you're using an unsupported version of Internet Explorer.įor a complete experience, please upgrade or use a supported browserįantasy football flex and superflex rankings for 2023 Use the Chimes to distract the guard and then shadow leap out of the building. You can use these to momentarily distract nearby guards. Head to the building in front of way and walk down into the room to find the Chimes. Go through the gate by the waterfall to enter the courtyard. Leave and go back along the canal the way you came. Follow the path along the canal and enter the room on the left for the third Scroll. Make your way around to the right until you come to the canal. Go back the way you came and drop down to the shadow behind the large stone. Run up to the building for the second Scroll. Dodge around the guards until you come to a large flat stone. Go back through the same gate and then up the stone steps. When a skill is active the number of circles on your cloak shows you how many uses are left. Using the shrine replenishes any skill points you’ve used up. Shadow leap through the gate to the first shrine. Leap up to the red arch and then down into the hidden path to the left.įollow the path along to a courtyard and drop down. When the coast is clear place some shadow down and leap to it so you can leap to the steps. You can stop and listen if you want but it’s easier to dodge past them when they’re still talking.ĭrop down to the right and follow the wall to the right. Once you reach the exit you’ll overhear two men talking. I found it easier to leap around to the right and then come up to the exit behind him. There’s a guard standing in the way so you’ll need to divert your path around him to the left or right. From here leap across to the platform and down under the bridge where you’ll find the first Scroll.įrom here you need to find the exit for this area, which is straight ahead. Leap down to the right and then up to the red arch. Walk down the steps and look out over the area. However they all take the form of a ‘mini wave’, fading to zero quickly. Rather than being a wave that goes on forever, like sin() or cos(), wavelets are a short ‘burst’ of waves that quickly die away, like the picture below:īecause there are very few rules about what defines a wavelet, there are hundreds of different types. In doing this they are opening up a new way to make sense of signals, which is the bread and butter of Information Engineering.Īt their most basic, wavelets are quite literally ‘mini waves’. What’s interesting about wavelets is that they are starting to undermine a staple mathematical technique in Engineering: the Fourier Transform. S2CID 18118758.Wavelets have recently migrated from Maths to Engineering, with Information Engineers starting to explore the potential of this field in signal processing, data compression and noise reduction. "Minimum uncertainty for antisymmetric wave functions". "An optimal entropic uncertainty relation in a two-dimensional Hilbert space". "Entropic uncertainty relations and locking: Tight bounds for mutually unbiased bases". "Generalized entropic uncertainty relations" (PDF). Physica A: Statistical Mechanics and Its Applications. "On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles". "One-parameter class of uncertainty relations based on entropy power". Smith, Extensions of the Heisenberg–Weil inequality. An inequality in the theory of Fourier integrals. "Formulation of the uncertainty relations in terms of the Rényi entropies". "An Entropy-based Uncertainty Principle for a Locally Compact Abelian Group" (PDF). ^ Ozaydin, Murad Przebinda, Tomasz (2004).The Many-Worlds Interpretation of Quantum Mechanics: the theory of the universal wave function. Any probability density function has a radially decreasing equimeasurable "rearrangement" whose variance is less (up to translation) than any other rearrangement of the function and there exist rearrangements of arbitrarily high variance, (all having the same entropy.) The same is not true of variance, however. Any two equimeasurable probability density functions have the same Shannon entropy, and in fact the same Rényi entropy, of any order. G ( y ) ≈ ∫ − ∞ ∞ exp ( − 2 π i x y ) f ( x ) d x, f ( x ) ≈ ∫ − ∞ ∞ exp ( 2 π i x y ) g ( y ) d y, In 1957, Hirschman considered a function f and its Fourier transform g such that This is stronger than the usual statement of the uncertainty principle in terms of the product of standard deviations. It turns out that Heisenberg's uncertainty principle can be expressed as a lower bound on the sum of these entropies. In quantum mechanics, information theory, and Fourier analysis, the entropic uncertainty or Hirschman uncertainty is defined as the sum of the temporal and spectral Shannon entropies. |
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