![]() ![]() The app supports more than 50 file formats including RAW, GIF, PNG, JPG and PDF. This photo editing software is a perfect combination of image organizer and editor that has the necessary tools for the professional enhancement of your pictures. And if you use the camera provided with GPS tracker, you will be able to see the information about the location where your photos were captured. ![]() It can show the file name, capture date, format and size of the image, and even camera settings that were used when the picture was taken. Besides, the app can provide you with information about any of your images. Furthermore, you will be able to edit your pictures with the help of any available device.Įxcept for the possibility to organize your photos by date or location, you can create albums for better management. And it doesn’t matter whether you use your computer, laptop or smartphone. This is a great software that will provide you with access to your photos wherever you want. In case you are a fan of Adobe products and want to keep all your images in reliable online storage, this app is just what you are looking for. Nevertheless, the variety of tools leaves much to be desired. And such features as face recognition, skin enhancement and geotagging make this app perfect both for professionals and people who want to keep their photos organized. It opens the library of your shots, where you can index categories, labels, and scores.Īlso, you’ll be pleasantly surprised by the app’s amazing performance and customizable interface. All that you need to do is just to use Manage mode. It has various features necessary to find the right picture out of thousands in a couple of seconds. This application is a perfect choice if you are looking for a cheap and easy-to-use Picasa alternative. Besides, it’s possible to use this photo archive to share your best pictures with your relatives and friends. Due to the advanced search system, you need just to write what you want to find and the application will show you all your images related to the thing, person or animal you’re looking for. ![]() The possibility to find the desired photo in a few seconds is, probably, the main advantage of Google Photos. Also, it’s possible to connect to the archive via any computer, smartphone or tablet whenever you want. First of all, it may provide the opportunity to save the unlimited number of HD videos and images up to 16 MP. So don’t miss your chance and purchase this easy-to-use software to forget about the difficulties with image organization and editing.Īlthough many users say that the main drawback of this application is its interface, there are a lot of people that adore this free cloud-based photo archive. Although it’s not a free app, its price includes all ongoing updates and support. Moreover, you can use it as a standalone photo editor or as a plugin for Adobe Photoshop and Lightroom. And such benefits as improved AI Structure and skin enhancer make this application the best Picasa alternative available in the market. Probably, the most wonderful one is the AI Sky Replacement that provides users with the possibility to change the sky in their image in one click. In addition, this updated version has some new features. And don’t forget about AI that can enhance your images automatically. The app offers such attractive features as layered editing, advanced masking, LUT mapping, and other useful tools that will change your photos into real masterpieces. It has never been easier to work with your images before. There are no doubts that this application will amaze both core fans of Picasa and professionals searching for reliable and powerful software. And due to this review, you can get acquainted only with the best applications that will definitely provide you with a wonderful experience. ![]() Furthermore, some of them offer even more opportunities to enhance your images without professional photo editing skills. Luckily, there is a plethora of alternatives that can amaze any fan of Picasa with a variety of tools and impressive benefits. However, in 2016 Google decided to discontinue its support and focused on the improvement of Google Photos. Picasa was a popular cross-platform app for image viewing, photo enhancement, and organization. ![]()
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![]() ![]() Versus now supports 10 player client/server architecture, with host-migration, join in progress, and four-player co-op modes spread across six maps. In this game we began development of versus at the same time as we started the main co-op game. In the first game it was really done at the last minute, and it showed. Reid Schneider: No problem! We've completely revamped the mulitplayer versus mode. Would yo be able to elaborate on how the game will play online? Will there be any new features compared to the last game as far as online is concerned? There are a few lines in the game that reflect that. We also like to work in "local" humor related to Montreal. Writing for games is very much an iterative process. Sometimes it was too "inside" and would need to be re-written. Very often at lunch they would start talking about lines they are writing in the game and then gauge the general reaction. Reid Schneider: Well our lead gameplay/AI programmer is from England, and he's pretty good friends with the creative director, writer and myself. Super Moderating Hero: Ooh give us an example! But we're fortunate to have a number of Brits on the team so we can field-test things we write. That's one of the challenges with injecting sarcasm into a game. Reid Schneider: Actually it's interesting as the humor is really different. Super Moderating Hero: So who has got the best sense of humour - Europeans or Americans? I can't see why that would be a difficult question to answer on the internet. We still felt that a certain amount of irreverant humor is core to the franchise but it needs to appeal to more than just people on this side of the atlantic (America). We didn't want it to be "frat-guy" but more "Die Hard" in that whenever you watch a Die Hard movie (especially the original) the Jon Mclane lines are universally funny, dry, sarcastic. In the new game we wanted to appeal to a much wider audience so we dramatically changed the tone. The biggest problem with this is that they were so turned off it prevented them from enjoying the rest of the game, which was unfortunate. I believe our first game made a mistake tonally, as we we created a project where people felt alienated by the actions/speech of the main characters. ![]() I was hoping you could talk a bit about examples of how the gamer is able to change the nature of the game through their actions in the sequel. Recently you spoke about the response to the previous Army of Two game in Europe about how the irreverant tone was seen as tasteless, and indicated a cultural gap between Americans and Europeans. We view that as a huge priority for us going forward. So there is alot in there to encourae community building. Also, that site tracks your preferred weaponry, types of kills, etc. Seeing yourself in the middle, or in my case bottom of a leaderboard is not so much fun, but way cooler when you know how you are doing against your friends. Reid Schneider: Well stat tracking is global for all players, but what is cool in terms of community building on the site is that you can then rank your performance against those that are top in leaderboards and those that are your "friends" based on EA sign-in. How much freedom is there and what stats are tracked? Also, will we get nifty community features as part of them? Super Moderating Hero: Tell us a bit about those features - stat-tracking and customisation. We took inspiration from best in class sites like Killzone 2 and Battlefield to determine what information players wanted to see reflected in stat tracking. We had a dedicated team on that, and the amount of information tracked for players in both co-op and Versus is huge. Finally the biggest surprise for people may be the stat-tracking on the website. Meaning that people can go on and design their own mask or armor for Versus and push them in the game. ![]() In terms of what people don't know, we have a huge user-generated content intiative. In terms of top notch features we think Mock Surrender is very cool as the GPS/Tagging system. I think the biggest improvement is the organic approach to co-op meaning giving the players tactics that can be used anywhere and then let them decide what they want to do, and what kind of a player they want to be in the warzone. We listened to what fans, journalists, critics really did not like and that shaped what we buit for the sequel. In terms of how it has improved, we really took the feedback to heart from the first game. In our game co-op does not just mean more firepower it means really thinking tactically abouthow you play. I think what sets AO2 apart is that its completely focused on co-op from the ground up. And is there much we don't know about the sequel yet? Super Moderating Hero: Before we plunge in, can you give us a brief overview of what sets Army of Two apart? And where the sequel has improved - what the top-notch features are. ![]() ![]() ![]() Users can build missing schematic symbols and commit them to the server, called the Community Vault, making them available for other users. CircuitMaker supports integration with the Octopart search engine and allows drag and drop placement of components from the Octopart search results if schematic models are attached to them. All schematics are uploaded to the Altium server and can be viewed by anyone with a CircuitMaker account, stimulating design re-use. The schematic editor includes basic component placement and circuit design as well as advanced multi-channel design and hierarchical schematics. Features ĬircuitMaker implements schematic capture and PCB design using the same engine as Altium Designer, providing an almost identical user experience. However, in a blog post on May 11, 2019, Altium COO Ted Pawela stated that the plans had evolved, and the products would remain separate, with interoperability features for the design files. On, Altium announced plans to merge CircuitMaker and Upverter into a single, free to use design platform. ĭespite the resemblance in naming, the current CircuitMaker differs entirely from CircuitMaker 2000 regarding features and graphical user interface: the SPICE simulation module has been removed the library system has been overhauled and the controls changed from classic menus to a more modern and visually appealing ribbon interface. This culminated into the rebirth of CircuitMaker as schematic capture and PCB design software. This pressure eventually provided the incentive for Altium to release a simplified and more user friendly version of their professional EDA software package and flagship product, Altium Designer, targeted at less complex circuit board projects. The rise of KiCad further fragmented the market. Several initiatives such as EAGLE have attempted to fill this void, releasing restricted versions of semi-professional EDA tools. This resulted in high piracy rates for professional software packages, or users sticking to outdated software, including CircuitMaker 2000. The leading EDA software vendors traditionally lack free versions, and professional licenses are unaffordable for amateurs. Open source hardware and easy-to-use development boards such as the Arduino and the Raspberry Pi have increased community interest in electronics, particularly in fablabs, hackerspaces and makerspaces. This popularity has been observed by Altium, and the most successful features of CircuitMaker 2000 have since been integrated in DXP 2004 and later were incorporated into Altium Designer. Due to its new status as abandonware, CircuitMaker 2000 remained popular among hobby users and students. When Protel was renamed Altium Limited in the early 2000s, engineering efforts were redirected towards the development of DXP 2004, and CircuitMaker 2000 was eventually discontinued. The wide availability of plug-ins and component libraries have accelerated adoption, and quickly amassed a worldwide community. Its ease of use and comparatively low cost quickly gained it popularity among students, and the software suite was commonly used to teach circuit board design to engineering students in universities. Protel CircuitMaker Įlectronic design automation software (EDA) developer Protel marketed CircuitMaker 2000 as a schematic capture tool, together with TraxMaker as its PCB layout counterpart, as a powerful yet affordable solution for circuit board needs. CircuitMaker 5 for Windows 3.1, 9x and NT became available in 1997, CircuitMaker 6, CircuitMaker PRO, TraxMaker 3 and TraxMaker PRO in 1998. History MicroCode CircuitMaker ĬircuitMaker, TraxMaker and SimCode were originally developed by the Orem-based MicroCode Engineering, Inc. ![]() ![]() ![]() If they are different, the file is invalidated. ![]() When adding an entry to dlclist.xml, take care to keep the opening and closing tags being exactly Item. The exact location is GTAV_root/mods/update/update.rpf/common/data/dlclist.xml. The data files are placed in GTAV_root/mods/update/圆4/dlcpacks//dlc.rpf.In general they follow the following set-up: If you download a mod that’s marked as an add-on, it means it doesn’t replace existing resources. Resource add-on mods (peds, vehicles, maps) The mod you download should have come with instructions with which file to replace in which exact folder and archive. If you download a mod that replaces an original resource, like a vehicle mod that replaces a default vehicle, you’ll need to use OpenIV. Resource replacement mods (peds, vehicles, maps) Boot up Grand Theft Auto 5 and you are ready to play.The next thing to do is to adapt the variables in fov.ini to get precisely the view that you wish in GTA 5.For the FOV mod, you need to pull fov.ini and dsound.dll into Grand Theft Auto 5 folder.Seek for something like GTAV.exe and bink2w64.dill, if you see them, you are doing everything right.That folder will probably look something like that: c:\program files (x86)\Steam\SteamApps\common\Grand Theft Auto 5.Pull the pentinent files into the GTA 5 file folder.After you saved your mod, extract its features into a new folder.That would help you to see all your Grand Theft Auto 5 Mods in one place and arrange them simply. Simple advice: save all your mods in one folder. Download GTA 5 mod from the GTA 5 Mods site.Let’s take a look at 9 steps on How to install Grand Theft Auto 5 Mods on Consoles and PCs: ![]() ![]() Where you going? I think he’s this way.Ītreus: Oh look, it’s Skoll & Hati – the giant wolves who chase the sun and moon. And… it was time.Ītreus: Something’s gotta open that gate… It’s opening. No excuses.Ītreus: I went hunting with mother a bunch of times. They were starving.Ītreus: (to himself) Are we lost? Nah… Should we be in here?Ītreus: Up there! He went in the old temple. I can see more tracks… or we can follow you.Ītreus: The wolves. Kratos: No! You are not ready - stay back!Ītreus: Father! Above you! Watch your right!Ītreus: Draugr? They’ve never come this close to our woods before.Ītreus: Uh… deer’s this way. (Atreus tries to take back his bow, but Kratos doesn’t let him) Find. ![]() Kratos: (screaming) What are you doing? Now its guard is up! Only fire… (deep breath) Only fire when I tell you to fire. Kratos: You are hunting dear - not chasing it.Ītreus: He broke our bridge… how are we gonna get across?Ītreus: Woah. I keep looking.Ītreus: Huh… Close, but also not deer. Kratos: I need to know you can survive the journey.Ītreus: Tracks. She taught you to hunt?Ītreus: Father… why are we doing this now? ![]() Try not to dwell on it.Ītreus: Lo, there do I see my Mother. THE MARKED TREES The Pyre Ītreus: Did something change? The forest feels different now. Of course, I’ll still try to convey the maximum of what is in the game, but if you speak Icelandic, please correct my translation attempts.īoy: Still want me to tie it to the boat? Usually, in my scripts, I give an approximate translation of foreign words into English, but Icelandic goes far beyond my knowledge. Note: The game uses real Icelandic language for titles and spells. ![]() ![]() And Anvi Smart Defender is the best choice of assistant with your security suite. It works well with leading antivirus products. Anvi Smart Defender is not only keeping your PC security, but also giving you a new fast PC. You only need to click on "Care Now" button, it will scan and repair system problems automatically to improve your PC performance. With Anvi Smart Defender' s real-time protection, you can surf on the Internet without anxiety about online threats. All these real-time function absolutely free. It protects your computer by many guards function, including privacy guard, startup guard, process guard, process guard, behavior guard and files guard. It keeps your PC safe and automatically downloads the latest database to your system for powerful security. It won' t disrupt you when you are working with your PC because it will not take much memory when it scans and removes.Īdding the latest threats into our database regularly, it protects your computer from infecting in an effective way. With the newly designed swordfish engine, it scans and removes deepest infections in a very fast and slight way. It adds system optimization function to speed up slow PC and provides cloud scan feature to give PC more effective and powerful protection. With the newly designed swordfish engine, it scans and detects Internet security threats fast and lightly. Gold Anvy Smart Defender v.1.8 Gold Anvi Smart Defender is focused on advanced protection based on cloud-technology and it is designed as an easy-to-use and light smart anti-malware program.
![]() ![]() We’re eyeing a mega-fight between Katie Taylor and Amanda Serrano in 2022 so it’s exciting and we’re just looking to elevate this sport. Most Valuable Promotions is excited to work with her to give her the paydays that she deserves and to put her on that pedestal. ![]() She’s one of the greatest boxers ever, man or woman. We’re just excited to help her elevate her career to the next level because she’s putting in the work. It would almost be more fun and more satisfying for me to just leave him in the dust and make him fight until he’s 25-0, if he gets that far, to get the same payday that he was getting in his eighth fight. Jake Paul and Tommy Fury will officially fight on December 18 in Tampa, Florida. I don’t really see a reason to come back next year and give him that big of an opportunity and that big of a payday. I don’t like anything to do with that family. He posted on social media once every other week. He’s done a terrible job at promoting the fight that we had. He didn’t show up to the press conference. “Him pulling out of the fight does give me hesitation to fight him in the future. Jake Paul as seen here is suspiciously in the shadows of his Triller. There was never a denial on my end of doing any sort of drug test. Jake Paul, cruiserweight boxer known as THE PROBLEM CHILD is rumored to be hospitalized after sparring with Mike Tyson. The Florida State Athletic Commission is drug testing me and Tommy multiple times. “The smart ones that did look into the rumor about drug testing saw that there is drug testing for this fight. From now on, we will be giving bonuses to my opponents if they can knock me out because we want to incentivize them and prove to the media and the world that all of these rumors aren’t true. We just wanted to squash that rumor right away. That’s been a rumor that is completely untrue. They just believe anything they read or see. ![]() “There’s been this rumor going around about a no knockout clause in my contracts, which someone started and everyone else ran with. I’m ten pounds lighter than I was going into the last fight so I’m feeling faster but also stronger at the same time. We brought in a nutritionist and he tweaked every little thing. I’ve sparred almost 200 rounds since that fight. There was a lot of things to work on and we did that this camp. Last fight showed that I’m not just going in there and knocking Tyron out. "I have set many goals for myself throughout my life," he said, adding that the next one was "to become the biggest prizefighter in the world.“We changed up a lot of things in this training camp. Nonetheless, Paul said it would be difficult to sell the home, as "some of the best times of my life have been at this house." Moving from the $7 million mansion has probably been in the cards for a while, considering Paul has somewhat outgrown the obnoxious stunts he used to pull with his crew. He knocked out the former NBA player Nate Robinson in a cruiserweight match on November 28, and he now has his sights set on Conor McGregor. Paul, who has 20 million subscribers on YouTube, has shifted his focus from making online content to boxing. "Being in Los Angeles, there's so many distractions, there's so much going on, and it doesn't really allow me to focus on training," he said. He said the main reason for leaving LA, where he has lived for almost six years, was to start a new chapter where he is "a legitimate pro fighter." He said that to sell the house and move outside Los Angeles wouldn't be easy, "but me, my team, my friends, my parents, everyone thinks it's the right decision." "I've lived here since I was 17, and to leave it all behind is not easy," the YouTuber said, adding, "This house is nostalgic, and this is probably one of the hardest decisions I've ever had to make in my life." Jake Paul is leaving behind his "problem-child era" and saying goodbye to his Team 10 mansion in Calabasas - and California altogether, he said in a video posted on Wednesday. Visit Insider's homepage for more stories. He didn't say where he was moving to, only that he was "taking it day by day." The influencer turned boxer said in a video on Wednesday that he was leaving behind his "problem-child era." The YouTuber Jake Paul is saying goodbye to his Calabasas mansion and leaving California altogether. I put 100,000 on the table and whoever wins, in sparring, can walk away with it, Shields said in an interview with Sports Illustrated. Jake Paul said he was moving out of California. November 17, 2021: Claressa Shields ridiculed Jake Paul’s boxing abilities and offered Jake Paul an amount of 100,000 to spar in the ring with him. ![]() ![]() ![]() Choose the version that sounds best to you. The voices were changed according to the availability of T5 Panel voices. Some have Mega! Choir and SA2! Style Voices. Aug Onacimus' project to convert Genos styles converted styles as of June Many of the styles have new Mega!Īcoustic Guitars of T5. You can find these conversions on Onacimus' Covnersions page. As a result, there are literally thousands of styles available for the Tyros5, many of which you will find on this site. In addition, styles from earlier keyboards can also be played in the Tyros5. Note also that even styles with the same name as those in the Tyros4 may have different OTS voices and other changes and so may not sound exactly like the T4 equivalents.įor those of you who would like an Excel file with all of the style, as well as voice and multipad, information for the Tyros5, John Plumridge has generously offered his Tyros5 Data List. One Tyros4 style, GayGordensis not included in the Tyros5. There are 40 new styleseach highlighted in the table below. The Tyros5 preset styles in each of the style categories are listed alphabetically in the table below. Like all of the Yamaha arranger keyboards, the these Tyros5 models have many exceptional styles - more of them than any previous Yamaha keyboard.Īdding forty new percussion-based Styles to the Tyros5's impressive backing and accompaniment capabilities, Audio Styles add natural feel, ambience, and warmth to drum and percussion parts, offering greater expressive potential.Īudio Styles also benefit from Yamaha's Time Stretch Technology, which allows the audio to follow your tempo changes without changing pitch, so everything stays in perfect sync. Video Demo.In November,Yamaha announced its newest flagship arranger keyboards, the Tyros pictured aboveand for the first time since the Yamaha Pro, a key model called the Tyros Visit either of the Tyros5 links to see all the features and specifications of the new models. Ivey business school feesįind out more Visit Key-Tab. Euro Pop Organ Showcase.ĭrawbar Organ Showcase. Visit The music comes in the form of a 85 page book with guidance notes. Even though they include some specially edited voices and effects, you do not need any expansion memory - simply plug and play.Īll products are available to buy as download versions as well as boxed versions with a significant saving if you buy the download only version.īee Software also produces the fabulous Key-Tab arrangements - sheet music combined with the best registration software available. With these fabulous products all the hard work has been done for you so you can enjoy just playing your instrument. Creating great registrations is like fine cuisine - even with the best ingredients it takes knowledge and skill to blend everything together correctly. Welcome to Tyros Magic from Bee Software! We have been producing top quality keyboard software for over 20 years. ![]() ![]() ![]() I was honestly inclined not to write this post today (because it really is like comparing apples to oranges!) but since so many people ask about it, I thought I’d take some time to put the matter to rest. Is Duolingo better than Rosetta Stone? (or vice-versa?) And a feast shall be kept for king Ptolemy, the everliving, the beloved of Ptah, the God Epiphanes Eucharistos, yearly in all the temples of the land from the first of Thoth for five days in which they shall wear garlands, and perform sacrifices, and the other usual honours and the priests shall be called priests of the God Epiphanes Eucharistos in addition to the names of the other gods whom they serve and his priesthood shall be entered upon all formal documents and private individuals shall also be allowed to keep the feast and set up the aforementioned shrine, and have it in their houses, performing the customary honours at the feasts, both monthly and yearly, in order that it may be known to all that the men of Egypt magnify and honour the God Epiphanes Eucharistos the king, according to the law.Duolingo and Rosetta Stone are often compared side-by-side as language learning platforms and course options. It seemed good to the priests of all the temples in the land to increase greatly the existing honours of king Ptolemy, the everliving, the beloved of Ptah. Since king Ptolemy, the everliving, the beloved of Ptah, the God Epiphanes Eucharistos, the son of king Ptolemy and queen Arsinoe, Gods Philopatores, has much benefited both the temples and those that dwell in them, as well as all those that are his subjects, being a god sprung from a god and goddess (like Horus, the son of Isis and Osiris, who avenged his father Osiris), and being benevolently disposed towards the gods, has dedicated to the temples revenues in money and corn, and has undertaken much outlay to bring Egypt into prosperity, and to establish the temples, and has been generous with all his own means, and of the revenues and taxes which he receives from Egypt some has wholly remitted and others has lightened, in order that the people and all the rest might be in prosperity during his reign. being assembled in the temple in Memphis on this day, declared: The chief priests and prophets and those that enter the inner shrine for the robing of the gods, and the feather-bearers and the sacred scribes, and all the other priests. In the reign of the young one-who has received the royalty from his father-lord of crowns, glorious, who has established Egypt, and is pious towards the gods, superior to his foes, who has restored the civilized life of men, lord of the Thirty Years' Feasts, even as Hephaistos the Great a king, like the Sun, the great king of the upper and lower regions offspring of the Gods Philopatores, one whom Hephaistos has approved, to whom the Sun has given the victory, the living image of Zeus, son of the Sun, Ptolemy living-for ever beloved of Ptah in the ninth year, when Aëtus, son of Aëtus, was priest of Alexander. The following abridged translation of the Rosetta Stone comes from The House of Ptolemy (1927) by Edwyn R. One Translation of the Rosetta Stone from Edwyn Bevan There is no single English translation of the Rosetta Stone because there are minor variations among the original three texts and because scholars’ understanding of the ancient languages continues to advance. Rosetta Stone English Translation QUESTION: Is There an English Translation of the Rosetta Stone? ![]() ![]() ![]() We find that there is a non-conventional geometry phase in a time-dependent 2×2 system . Here, we review another application of it in time-dependent -symmetric quantum mechanics. It was used in the study of random matrix theory . The most general 2×2 -pseudo-Hermitian matrix in ( 3.15) was introduced in . A more general 2×2 matrix constructed in was used to demonstrate the quantum brachistochrone phenomenon in a non-Hermitian system, which later caused a heated debate . The same matrix was also used to discuss quantum entanglement . ![]() The first 2×2 -symmetric matrix Hamiltonian introduced in was used to construct a proper inner-product with positive-definite norms. We expect the same things in -symmetric non-Hermitian quantum mechanics. In conventional quantum mechanics, the simple 2×2 matrices serve as important toy models to study various quantum properties. The two formulations are equivalent: for any -symmetric matrix H, one can always find a operator such that H is -pseudo-Hermitian for any -pseudo-Hermitian matrix, one can always find a parity operator such that is -symmetric.įor example, the -symmetric H 0 in ( 2.6) is -pseudo-Hermitian with respect to ![]() One may ask a slightly different question: Whether a -symmetric matrix is -pseudo-Hermitian with respect to a different ? Or the reversed question: Whether a -pseudo-Hermitian matrix is -symmetric? In the case of 2×2, the answer to both questions is yes. Now we have a more general parity operator and more parameters in matrix Hamiltonians. The resulting -symmetric and -pseudo-Hermitian (with the same ) matrix is complex-symmetric. ![]() The intersection set between real similarity transformations and unitary transformations is the set of orthogonal transformations. It can serve both as the parity in symmetry and as the indefinite metric in pseudo-Hermiticity. Obviously a real-symmetric parity operator is also Hermitian. Relation between symmetry and pseudo-Hermiticity We find new results in a geometry-phase problem with a tunable fictitious magnetic monopole and a measurable Dirac string.įinally, we give some concluding remarks in §6.Ĥ. In §5, we apply our parametrization to a time-dependent two-level quantum system. In the case of 2×2, a -symmetric matrix is always -pseudo-Hermitian with respect to some operator, and vice versa, although in general. A complex-symmetric matrix can be -symmetric and -pseudo-Hermitian with the same. A real-symmetric involution can serve as the parity in symmetry and the operator in pseudo-Hermiticity. In §4, we discuss the relation between the two formulations. A Hermitian matrix can always be considered as a special case of -pseudo-Hermitian matrices. A 2×2 -pseudo-Hermitian matrix is also characterized by six real parameters. The operator defines a Pontryagin space with indefinite norms. In §3, we study the -pseudo-Hermitian matrices, where the operator is a Hermitian involution. When all the eigenvalues of a -symmetric matrix are real, the eigenstates are also eigenstates of. A 2×2 -symmetric matrix is characterized by six real parameters, two more than a Hermitian matrix with the same dimension. In §2, we study -symmetric matrices by defining the parity operator as a real involution. In this case, W can be chosen as the unit matrix and it is no longer dynamical. In conventional quantum mechanics, the Hamiltonian is a Hermitian matrix. 1 In general, W depends on the Hamiltonian H, i.e. This post is Part 3 and contains Problem 7, 8, and 9.Ĭheck out Part 1 and Part 2 for the rest of the exam problems.One may take this equation as the definition of the metric operator W. There were 9 problems that covered Chapter 1 of our textbook (Johnson, Riess, Arnold). The following problems are Midterm 1 problems of Linear Algebra (Math 2568) at the Ohio State University in Autumn 2017. ![]() |
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