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4/2/2023 0 Comments Wilhelm baynes i ching![]() ![]() ![]() For us, this is a symbol representing a similar process taking place within the psyche. For the alchemists, the process took place in the material substances collected in the retort. The vessel of the alchemists, like the circle of the psyche and the mandala, must be closed if the transformation process is to proceed satisfactorily. Of course, the true esoteric purpose of the alchemist was psychological, not physical. The combined ideas of transformation and a cauldron used for sacrifices remind us of the alchemical vessel or retort which "cooked" its contents and transformed them into a higher state of matter - turned lead into gold in the popular conception. When the forty-ninth hexagram of Transformation is turned upside down, it becomes the fiftieth hexagram of the Sacrificial Vessel, thus giving us some valuable insights into the nuances of meaning in each of the figures. I prefer Blofeld’s title of the Sacrificial Vessel as more evocative of the ideas presented in the figure. The usual name for this hexagram is The Cauldron - specifically, a type of food-containing vessel which was used in ancient China for religious sacrifices. The Superior Man holds to the principles of the Work to attain transcendence. Judgment: You are the Sacrificial Vessel. They add that the reality of sacrifice is nourishing in this regard. The K'ang-hsi editors point out that the distinction between hexagram number forty-eight, The Well, and this one is the difference between the nourishment of the people in general and the specific nourishing of worthy men. The lesson of the hexagram is that the nourishing of men of talent and virtue intimates great progress and success. The hexagram pictures this vessel - the divided first line represents the feet, the three undivided lines above represent the body, the divided fifth line shows the ears (or carrying rings), and the top line is the handle by which the container is carried or suspended from a hook. Legge: The written Chinese character for Sacrificial Vessel represents a cauldron with three feet and two "ears" used for cooking and preparing food for both the table and the altar. All these things give the auspice of successful progress. We have the trigrams of Flexible Obedience and Quick Intelligence, with the magnetic line advanced to the ruler's place and responded to by her dynamic correlate below. The sages cooked their sacrifices to God and nourished their able ministers with feasts. Thus the jun zi rectifies his position and consecrates the mandate.Ĭonfucius/Legge: The image of the Sacrificial Vessel shows us wood entering a fire, which suggests the idea of cooking. Wu: There is fire on wood this is The Cauldron. Leaders stabilize their mandate by correcting their position. Thus do superior people stabilize life in the proper position.Ĭleary (2): Fire over wood - The Cauldron. A chun tzu uses correcting the situation to solidify fate.Ĭleary (1): There is fire on top of wood a cauldron. Ritsema/Karcher: Above wood possessing fire. The superior man makes his destiny firm with a correct position. Liu: Fire above wood symbolizes the Caldron. The Superior Man, taking his stance as righteousness requires, adheres firmly to heaven's decrees. Thus the superior man consolidates his fate by making his position correct.īlofeld: This hexagram symbolizes fire upon wood. Wilhelm/Baynes: Fire over wood: the image of The Cauldron. The superior man maintains his correctness in every situation to secure the appointment of heaven. Legge: Wood under a fire - the image of a Sacrificial Vessel. Wu: The Cauldron indicates great auspiciousness and pervasiveness. ![]() Shaughnessy: The Cauldron: Prime auspiciousness receipt.Ĭleary (1): The cauldron is basically good it is developmental.Ĭleary (2): The Cauldron is very auspiciously developmental. Ritsema/Karcher: The Vessel, Spring significant. Success.īlofeld: A Sacrificial Vessel - supreme success! Legge: The Sacrificial Vessel means great progress and success. Urn:oclc:716655011 Republisher_date 20120608025337 Republisher_operator Scandate 20120605162644 Scanner titles: The Cauldron, The Vessel, Rejuvenation, Cosmic Order, The Alchemical Vessel, "A complete transformation of a person or circumstance." - D.F. OL403974W Page-progression lr Page_number_confidence 90.05 Pages 816 Ppi 514 Related-external-id urn:isbn:1400837081 ![]() Urn:lcp:ichingorbookofc00wilh:epub:775c2887-761b-4f50-b82a-bb753fab434d Foldoutcount 0 Identifier ichingorbookofc00wilh Identifier-ark ark:/13960/t47q04k4h Isbn 071001581X Lccn 76370823 Ocr ABBYY FineReader 8.0 Ocr_converted abbyy-to-hocr 1.1.11 Ocr_module_version 0.0.14 Openlibrary OL22307661M Openlibrary_edition Access-restricted-item true Addeddate 16:10:48 Boxid IA146124 Camera Canon EOS 5D Mark II City London Donorĭanielsiders Edition 3. ![]() 4/2/2023 0 Comments Xsection game gauss![]() ![]() That project is closer to a thesaurus in the sense that it returns synonyms for a word (or short phrase) query, but it also returns many broadly related words that aren't included in thesauri. I made this tool after working on Related Words which is a very similar tool, except it uses a bunch of algorithms and multiple databases to find similar words to a search query. So in a sense, this tool is a "search engine for words", or a sentence to word converter. It acts a lot like a thesaurus except that it allows you to search with a definition, rather than a single word. The engine has indexed several million definitions so far, and at this stage it's starting to give consistently good results (though it may return weird results sometimes). For example, if you type something like "longing for a time in the past", then the engine will return "nostalgia". It simply looks through tonnes of dictionary definitions and grabs the ones that most closely match your search query. Once it is done, open the game and start playing immediately.The way Reverse Dictionary works is pretty simple. Now click on the downloaded XSection file to install it and wait for the installation to complete.Ĥ. Save the file in your device's download folder.ģ. Click the Download button at the top of the page to download the XSection MOD APK.Ģ. You need to enable the "Unknown Sources" option.ġ. To download XSection mod from Apkmody.io. But you can buy an IAP that removes this restriction.Send in your inquiries and stay up-to-date on the latest XSection news at How to download and install XSection Mod APK 1.04 With these apps you can become a real Geometry Guru!Starting from the 8th chapter levels are unlocked at 4-hours interval. The best way to learn to solve math problems is to solve them a lot.Main topics:- Prisms, cubes, parallelepipeds, and cuboids- Pyramids and tetrahedrons- Diagonals of polyhedrons- Cross sections- Diagonal sections- Parallel and central projections- Method of traces- Method of inner projectionXSection follows Euclidea - Pythagorea - Pythagorea 60° series of our geometric games. The app will not allow you to create an impossible object: for example, to "intersect" skew lines (which is a typical error when constructing cross sections on paper). XSection is a perfect way for students to practice before tests or exams and to improve your spatial imagination. If you forgot a definition, you can instantly find it in the app’s glossary. The app contains the required theory facts and explanations. All the problems can be solved without complex calculations. It teaches you how to perceive 2D representation of polyhedra, lines, and planes from 3D Euclidean space. Master different methods and solve puzzles.* More than 100 tasks: from basics to challenges* 11 chapters to explore* Built-in glossary with geometric terms* Step-by-step instructions* Easy to useXSection is a trainer of solid geometry problem solving. Users can easily update XSection APK without downloading Google Play. apkmody will update the XSection APK version in the fastest time. If you don't want to download the XSection mod APK version, you can also easily download the XSection APK in Apkmody. This process doesn't cost anything, and you can use it with confidence. Now in apkmody you can download XSection APK v1.04 for free. XSection Mod APK is a great way for you to outshine your competition. Often you need to spend a lot of time or money to get rewards easily, but by using XSection Mod APK, you often achieve your goals in a very short time. By using the XSection Mod APK, you can easily complete any tasks and requirements in it. XSection Mod APK is the PRO version of XSection APK. Next is a detailed introduction about XSection Mod APK v1.04. In apkmody you can download XSection Mod APK v1.04 for free. If you want to download the latest version of XSection APK, then you must come to apkmody. ![]() ![]() For a list of postcodes that will be charged the remote location rate: remote area list. If you spend between £40 and £200 (£48 - £240.00 including VAT, excluding large materials or lithium batteries) delivery is free to most locations, £12 (£14.40 including VAT, excluding large materials or lithium batteries) to Northern Ireland and £15 (£18.00 including VAT, excluding large materials or lithium batteries) to UK remote locations.If you live on the UK mainland and don't have any large materials or lithium batteries in your order it will cost £3.95 (£4.74 including VAT) if you spend less than £40 (£48 including VAT).If the goods are not in stock we will endeavour to contact you as soon as possible to discuss a dispatch date. Orders placed online before 3:00pm Monday - Friday (excluding public holidays and our Christmas shutdown period) are always dispatched the same day provided the goods are in stock.Hand lengths are measured from the centre of the clock movement. Popular uses include recycling old CDs and laser cutting custom designs from Perspex or plywood to make into clocks, but if you're after a more complete kit you can try our clock making kit, or assemble your own kit from our range of accessories. ![]() ![]() ![]() The time is easily set or adjusted with the dial on the back of the unit. They are accurate to within 30 seconds per month and run from one AA Battery which lasts over a year. Our high precision Quartz Clock Mechanisms are great if you want to make your own clock or for replacing faulty clock mechanisms and come with all required fixing hardware and hour, minute and second hands. ![]() 4/2/2023 0 Comments Oniria crimes switch![]() ![]() Importers should take note in Japan, where Atelier Ryza 2 (the sequel to the best 2019 JRPG you didn't play) is coming out this week in Japan - the rest of the world has to wait until the end of January. Finally, if you want some fun with the family but don't want to splash out for an entire Jackbox Party Pack, Quiplash 2 gets a standalone release on Thursday. ![]() Fans of strategy who don't mind seeing dogs die (oops, spoiler) will want to take note of John Wick Hex coming to Switch, while roguelike fans live it up again with the latest entry in the Shiren the Wanderer series. We also have Ubisoft's Breath of the Wild IN GREECE Immortals: Fenyx Rising, or in the complete opposite of corporate malfeasance (please don't be a milkshake duck), the Brenda Romero-helmed Empire of Sin as the list of outstanding games from The Last E3 Ever continues to shrink.Īmong the digital-only crowd, Taiko no Tatsujin Rhythmic Adventure Pack will attempt to Reese's cup RPGs and rhythm games, and the dog/lagomorph duo of Sam & Max will save the world once more. The immediately obvious headliners for this week's releases are the two Nintendo games - the Western publishing of Fitness Boxing 2 and the localization of Fire Emblem: Shadow Dragon & The Blade of Light after 30 years (and seven and a half months). ![]() 4/1/2023 0 Comments Freeciv modpack![]() ![]() A freeciv-modpack(6) utility lets you locate The Freeciv community offers even more scenarios, rulesets, When running a Freeciv client, you can chooseĪmong tilesets and soundsets, to adjust how games look and sound. YouĬan also choose among various rule sets and scenarios, which can lead to You can set the size of the map and the kind of terrain. You can set the number and difficulty level of When starting theįreeciv server, you can adjust many parameters of the game map, rules, and The Freeciv game offers many ways to tweak how games are set up,Īnd to create completely different looks and game play. ![]() Runs on to determine which language it should use when presenting the game Generally, the Freeciv client follows the conventions of the computer it The Freeciv game is translated into many different languages. Rules, even if a cleverly-modified client program tries to cheat. InĪ multi-player game, someone starts the server first, then players connect In a single-player game, the player'sĬlient program starts up its own local server program behind the scenes. The terrain, rules, and activity of the game are held by a runningįreeciv-server(6) program. The Freeciv client can be thought of as a thin window onto the server's There are several different Freeciv client programs to choose between. Human players run a freeciv-client(6) program to join a Freeciv can operateĪrtificial intelligence (AI) players as desired, to fill out the game. There can be a single human player, or multiple human player inĭifferent locations on different kinds of computers. Players of Civilization II® by Microprose® shouldįeel at home, since one aim of Freeciv is to have compatible rules.įreeciv is maintained by an international team of coders andĮnthusiasts, and is easily one of the most fun and addictive network gamesįreeciv is designed to be played either over a network or on one Ultimate goal: To become the greatest civilization. freeciv-server DESCRIPTIONįreeciv is a free turn-based multiplayer strategy game, in whichĮach player becomes the leader of a civilization, fighting to obtain the Freeciv - The Freeciv game (overview) SYNOPSISįreeciv-gtk3.22|freeciv-sdl2|freeciv-qt|freeciv. ![]() ![]() ![]() "I know there’s a bunch of startups, old ones and a bunch of new ones that are doing that, but we think we can play a role in helping people do that. "We believe there’s a huge amount of opportunity to crack virtual visits, which no one really has yet," he said. ![]() In a December interview, iTriage president Jim Greiner told MobiHealthNews that a major iTriage redesign is planned for 2015, and the company is going to try to crack virtual visits. The average for the healthcare sector? 17 percent.Īnd Aetna has big plans for the future. This survey, from email company Agari, was reported at length by Fortune. Newtopia then supports users with online coaching via mobile devices, social networks, and wearable device integration.Īnd, in the wake of a disastrous data breach at Anthem, Aetna was the highest scorer on a survey about email security at healthcare companies. The platform uses genetic testing and lifestyle assessments to create personalized nutrition, exercise and behavior management plans for users. Around the same time that iTriage added price estimator features for procedures, for example, Aetna Mobile added a similar payment estimator.Īetna just recently announced a remote patient monitoring and patient engagement pilot with Newtopia. Newtopia will offer its health engagement platform to some of Aetna’s largest employer customers. For Aetna members, the app also recommends services they might be eligible for that could help them out.Īnd Aetna's flagship app, Aetna Mobile, continues to be updated, offering services similar to iTriage but specifically for Aetna members. Back in January 2014, the company launched a new app called "Resources for Living" that helps users to manage stress and anxiety, moderate work-life balance, and track their moods. In terms of its apps, Aetna has continued to expand its portfolio. The details of that partnership are still unclear. That same month, Aetna was one of a number of healthcare companies that signed on to be involved with Samsung's Digital Health platform. The acquisition bolsters Aetna's competitiveness in the post-Affordable Care Act world of private exchanges. The company, which has about 380 employees, will remain a separate business within Aetna led by its current team. In November, just a few short months after news broke about CarePass, Aetna bought Chicago-based bswift, which offers a technology platform that powers health insurance exchanges, for approximately $400 million. But Aetna itself shrugged off the loss as an experiment that didn't work out, one the company would continue to learn from going forward - and has continued to work on digital strategies since. What follows is a round-up of moves by the larger and smaller health insurance companies over the last six months, plus an update on government payers like CMS and the VA, and some brief updates on both price transparency and employee wellness.Ī lot of people reacted to the shutdown of Aetna CarePass with doom and gloom predictions for mobile health, and for payers' digital consumer engagement strategies. Though some may be moving quietly, payers are moving toward better consumer engagement via mobile devices. A number of payors partnered with Samsung to leverage its new digital health platform, and a couple of others are rumored to be in talks about Apple HealthKit integrations. In the last six months, we've seen payors doing just that, with almost every major payor upgrading its apps to bring added features to their members and other consumers, or potential members. An October report from the Psilos Group suggested that payors now need to figure out how to better serve individuals, not just as end users but as customers. ![]() 4/1/2023 0 Comments Goodnotes 5 free![]() ![]() Please contact someone in charge of purchasing digital content at your institution so that they can get the full version for you as an institution. Can I get the full version for free as an individual?" Unfortunately, this is not possible, since GoodNotes is currently offered for free through Apple School Manager only. On this page there is also a link to a free trial version with 3 notebooks if you haven't already tried that out!Īs someone else commented, if your school uses Apple School Manager, you get the full version for free. Download static and animated Goodnotes logo vector icons for free in PNG, SVG. But if this freemium pricing structure gets GoodNotes into more hands and onto more iPads, we think it’s a great idea.Ĭheck out our above reviews to get a feel for GoodNotes on the iPad and to see if it may work for your needs.Fellow college student here! As far as I know there aren't any student discounts for the app, but it's a one-time payment of $8.99 (goodnotes is not a subscription based model like notability is!) for the full version of the app. Free Goodnotes logo icons in various UI design styles for web, mobile. A full unlock includes unlimited notebooks, handwriting recognition, prioritized email support, the ability to import documents via email, among other features.Īt $8, a full unlock of GoodNotes seems like a no-brainer. Download one of the most popular format of the planners and start your journey in digital planning with the monthly Goodnotes planners. The best digital planners are also flexible enough to accommodate freebies and supplements that you might want to add to your planner. If you’re a heavier note-taker though, the full GoodNotes app can now be unlocked for $8. 1 Likes, 9 Comments - Good Mondays Planners (goodmondayspaper) on Instagram: GOODNOTES 5 IS NOW FREE TO DOWNLOAD Save & share with your. GoodNotes (goodnotes.app) Instagram photos and videos goodnotes.app Follow 228 posts 139K followers 509 following GoodNotes Note down, shape, & share your ideas with the worlds best loved digital paper Tag goodnotes.app & use GoodNotes to share your notes & creations linktr.ee/goodnotes. ![]() This free version can go a long way, especially if you’re not a prolific note-taker but need something in a pinch. Now, you can create your first 3 notebooks inside GoodNotes for free. Download hassle free digital planner for fitness designed to help you take your fitness achievements to the next level. GoodNotes recently updated its pricing structure to allow new users to get a better grasp of the app before fully committing to the $8 purchase price. We like GoodNotes so much, we built our annual Digital Planner to work perfectly inside GoodNotes on your iPad. Open a drop-down menu by clicking the icon next to the page where you. If you want to store all sorts of media types, the built-in Notes app or an app like Notion is great for cataloguing items.Īnd if you want to take handwritten notes on the iPad, GoodNotes is the best there is. Start iPad digital planning with this free GoodNotes planner. If you need to connect your notes, Obsidian is the best you can get. free upgrade for everyone who paid the full price for GoodNotes 4 through the GoodNotes 5 Upgrade Bundle. GoodNotes Support GoodNotes 5 Frequently Asked Questions - GoodNotes 5 Educational Purchasing FAQ How much does it cost to get GoodNotes for my institution If yours is a school or educational institution ( K-12 or higher education) managing devices through Apple School Manager, you can now have the full version of GoodNotes for free. If you need to type your notes, Bear is a great choice. There are a plethora of great note-taking apps for the iPad. ![]() 4/1/2023 0 Comments Famu isplash![]() ![]() See, for example irytowaç -tuj´ -tujesz impf, pf zirytowaç irritate, with the derived perfective zirytowaç also having its own listing, with reference to irytowaç. If this decision causes an alphabetization problem, then the derived aspect form is listed separately, with a cross reference. lightningĪspect pairs are given in the order basic: derived, according to which aspect comes first, and regardless of alphabetical considerations. See, for example, b∏yskaç -a us 3p impf, pf b∏ysnàç -Ênie b∏ys∏o shine, flash, twinkle, glimmer. ~ si´ be reported If a verb occurs only or mainly in the 3rd person, only the 3rd person singular (neuter) will be given. ![]() For example, the following entry indicates that donieÊç is conjugated like nieÊç: donieÊç ^nieÊç pf, impf donosiç -sz´ -sisz o+L inform or report on. The conjugation of prefixed mono-syllabic verbs is sometimes indicated by referring to the simplex verb. ![]() forms of the the present, along with any other irregular present or past forms. Verb conjugation is indicated by giving the 1st and 2nd person sg. For example, the locative singular of ocet, occie, is listed, with a reference to ocet, because, even though the form is regular, its visual appearance makes the word difficult to decipher. Regularly derivable forms are not listed separately unless a regularly predictable form is nevertheless apt to cause confusion. The user is expected to have a basic command of Polish declension and conjugation. These two forms are also listed separately, with reference to wysoki. For example, under wysoki high, one will find the comparative adjective wy˝szy and the comparative adverb wy˝ej. If a form is radically different in alphabetical order from the base word, it will be listed separately and given a cross-reference. For example, adverbial and comparative forms of adjectives are listed after the adjective, regardless of alphabetical considerations. Derived forms considered to belong to the same lexical item are given next, regardless of alphabetical order. DICTIONARY ENTRIES Within a word-entry, the basic form of the word is given first. Corrections and suggestions for improvement and new entries should be e-mailed to the author at. The author is aware of its many imperfections and incompletenesses, which are being improved by constant updating and proof-reading. This dictionary is printed in its present form for use in intermediate and advanced Polish classes at the Univeristy of Pittsburgh. Grammatical indicators refer to descriptions in the author's Grammar of Contemporary Polish (Slavica: 2002), to which the user is referred for descriptions of grammatical inflections and usage. The technical apparatus is kept to a minimum and should be mostly self-evident. Regular and predictable endings and formations are not given. It is expected that the user will be familiar with the principles of Polish inflection. Most terms related to the social sciences and the humanities are included. It does not attempt to cover technical or scientific terms, or the names of uncommon plants and animals. It is intended primarily for the use of the English-speaking reader of Polish, interested in arriving at the central or commonest meaning of a word, not in an exhaustive set of usages and definitions. INTRODUCTION A Learner's Polish-English Dictionary contains over 27,000 entries. THEN USE EITHER THE ADOBE BINOCULAR ICON OR THE SCROLL BAR TO SEARCH FOR THE INDIVIDUAL WORD IF YOU WOULD LIKE A HARD COPY OF THIS DICTIONARY (340 PP.), CONTACT THE AUTHOR AT SwanįIRST PRELIMINARY EDITION CD AND WEB VERSION USE BOOKMARKS TO FIND THE FIRST LETTER. ![]() ![]() ![]() So where did the notion of “infinity” even come from? From mathematics, I think. If each universe splits into two every time a wave function collapses, that’s definitely a whole lot of universes, but it’s still not infinite. But I’m not sure it’s justified in this context either. In recent years, the word “infinity” has been often used in connection with the theory of the multiverse. There is a limit to the subdividing of space. The properties of elementary particles are not continuous but discrete. Quantum theory seems to deny the existence of the infinitely small. Since space is defined by these particles, there is no infinite space either. ![]() The number of atoms in the universe is about 10 80, and while that’s certainly quite a lot, it’s still short of infinite. The Big Bang caused only a finite amount of matter and energy to come into being, and the amount can actually be estimated. I just don’t see any evidence of infinity in the real world. Parity and Partition of the Rational Numbers.For as long as I can remember, I have been skeptical about the existence of infinity.Part II: Density of the Three Parity Classes May 12, 2022 Parity and Partition of the Rational Numbers.Image Processing Emerges from the Shadows May 19, 2022.Fairy Lights on the Farey Tree May 26, 2022.Parity of the Real Numbers: Part I June 2, 2022.Swingin’-Springin’-Twistin’-Motion June 9, 2022.ICM 2022 - Plans Disrupted but not Derailed June 16, 2022. ![]() The Arithmetic Triangle is Analytical too June 23, 2022.Can We Control the Weather? June 30, 2022.The Size of Sets and the Length of Sets July 7, 2022.Goldbach’s Conjecture and Goldbach’s Variation July 14, 2022.Fields Medals presented at IMC 2022 July 21, 2022.Poincare’s Square and Unbounded Gomoku July 28, 2022.Space-Filling Curves, Part I: “I see it, but I don’t believe it” August 4, 2022.Space-Filling Curves, Part II: Computing the Limit Function August 11, 2022.The Navigational Skills of the Marshall Islanders August 18, 2022.X+Y and the Special Triangle August 25, 2022.Dynamic Equations for Weather and Climate September 8, 2022.Making Sound Pictures to Identify Bird Songs September 15, 2022.The 3-sphere: Extrinsic and Intrinsic Forms September 22, 2022.Topological Calculus: away with those nasty epsilons and deltas September 29, 2022.CND Functions: Curves that are Continuous but Nowhere Differentiable October 6, 2022.Finding the Area of a Field October 13, 2022.From Sub-atomic to Cosmic Strings October 20, 2022.Dropping Pebbles down a Mine-shaft October 27, 2022.The Power of the 2-gon: Extrapolation to Evaluate Pi November 3, 2022.Mercury’s Mercurial Orbit November 10, 2022.The Rich Legacy of Indian Mathematics November 17, 2022.What’s the Next Number? November 24, 2022.Low-pass Filtering and the Remarkable Integrals of Borwein and Borwein December 1, 2022.Curvature and Geodesics on a Torus December 8, 2022.Convergence of mathematics and physics December 15, 2022.Closeness in the 2-Adic Metric December 22, 2022.Spiric curves and phase portraits December 29, 2022.Summing the Fibonacci Sequence January 5, 2023.Adding a Point to Make a Space Compact January 12, 2023.The Cosmology of the Divine Comedy January 19, 2023.Curvature and the Osculating Circle January 26, 2023.From Wave Equations to Modern Telecoms February 2, 2023.Ford Circles & Farey Series February 9, 2023.Weather Warnings in Glorious Technicolor February 16, 2023.A Puzzle: Two-step Selection of a Digit February 23, 2023.For example, see here.Ĭontinue reading ‘The curious behaviour of the Wilberforce Spring.’ There are several videos of a Wilberforce springs in action on YouTube. This is usually achieved by having small adjustable weights mounted on the pendulum. The conversion is dependent upon a resonance condition being satisfied: the frequencies of the stretching and twisting modes must be very close in value. This motion is, in turn, converted back to vertical oscillations, and the cycle continues indefinitely, in the absence of damping. However, due to a mechanical coupling between the stretching and torsion, there is a link between stretching and twisting motions, and the energy is gradually converted from vertical oscillations to axial motion about the vertical. When the weight is pulled down and released, it immediately oscillates up and down. }In equilibrium, the spring hangs down with the pull of gravity balanced by the elastic restoring force. ![]() |
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