Covid vaccine passports must be shown to large events and nightclubs or proof of a negative lateral flow.Advice to postpone Christmas parties and large gatherings.Take lateral flow tests regularly-before meeting with other households or going shopping.Masks must be worn in pubs, cinemas, public transport, shops.All households contacts must isolate for 10 days, regardless of vaccine status or PCR result.If fully vaccinated and a negative result, they can end isolation. Non household contacts isolate pending PCR result.Scotland Covid rules and adviceĪs from Friday December 10, here is the current rules and guidance from the Scottish government. However, in terms of Christmas, she did say that if we follow the rules strictly, it will give us a better chance of having a 'more normal Christmas' compared to last year's. While no mention of Scotland going into lockdown again has been made, Sturgeon gave this announcement to give context to what might happen 'in the next few days', suggesting rules and regulations will change as early as next week. The Welsh First Minister also gave a briefing telling the Welsh public that they will be reviewing rules weekly and schools are considering closing early for Christmas. The First Minister is attending a COBRA meeting to discuss a four nations approach.
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Imagine, for example, that you want to compute the contraction $A^$, which is ambiguous as to argument order. Where I have conciously refrained from using indices to label matrix elements instead, the first argument labels rows and the second labels columns. Matrix multiplication is no more than a convenient way to write products of the form When you convert between rank-2 tensors and matrices, the decision as to which index of the tensor labels the rows and which one labels the columns is purely conventional. Exterior Products and Differential FormsĨ.5.Slogan: Matrices are a tool to compute sums tensors tell you which sums make sense. Getting Acquainted with Differential FormsĨ.3. Derivatives of Basis Vectors and the Affine ConnectionĬhapter 8. Metrics on Manifolds and Their Tangent Spacesħ.4. Tangent Spaces, Charts, and Manifoldsħ.2. Divergence, Curl, and Laplacian with Covariant Derivativesħ.1. Relation of the Affine Connection to the Metric TensorĤ.7. Transformation of the Affine ConnectionĤ.6. Contravariant, Covariant, and "Ordinary" VectorsĤ.4. The Distinction between Distance and Coordinate Displacementģ.4. Integration Measures and Tensor Densitiesģ.1. Two-Index Tensor Components as Products of Vector ComponentsĢ.9. Transformation Coefficients as Partial DerivativesĢ.5. Euclidean Vector Operations with and without Coordinatesġ.7. Derivatives of Euclidean Vectors with Respect to a Scalarġ.6. Euclidean Vectors, without Coordinatesġ.3. Why Aren't Tensors Defined by What They Are?ġ.2. It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.ġ.1. Using a clear, step-by-step approach, the book strives to embed the logic of tensors in contexts that demonstrate why that logic is worth pursuing. Neuenschwander's Tensor Calculus for Physics is a bottom-up approach that emphasizes motivations before providing definitions. For example, in a classical mechanics course, they meet the "inertia tensor," and in electricity and magnetism, they encounter the "polarization tensor." However, this piecemeal approach can set students up for misconceptions when they have to learn about tensors in more advanced physics and mathematics studies (e.g., while enrolled in a graduate-level general relativity course or when studying non-Euclidean geometries in a higher mathematics class).ĭwight E. Undergraduate physics majors are typically introduced to tensors in special-case applications. This makes tensors the gold standard for expressing physical relationships in physics and geometry. Tensors, therefore, allow for the convenience of coordinates while also transcending them. But the true beauty of tensors lies in this fact: When coordinates are transformed from one system to another, tensors change according to the same rules as the coordinates. A horizontal electric field producing vertical polarization in dielectrics an unbalanced car wheel wobbling in the vertical plane while spinning about a horizontal axis an electrostatic field on Earth observed to be a magnetic field by orbiting astronauts-these are some situations where physicists employ tensors. Understanding tensors is essential for any physics student dealing with phenomena where causes and effects have different directions. Using a clear, step-by-step approach, this book explains one of the more difficult-yet crucial-topics in physics.
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" Eh, Eh (Nothing Else I Can Say)" had a limited single release, while " Beautiful, Dirty, Rich" served as a promotional single. The subsequent singles " LoveGame" and " Paparazzi" were commercial successes as well, charting within the top-ten of over ten countries worldwide. The first two singles off the album, " Just Dance" and " Poker Face" gained international success, topping the charts in several countries worldwide including the United States, the United Kingdom, and Australia. Combined with The Fame Monster, the album had sold over 18 million copies worldwide as of August 2019. The Fame became the fifth best-selling album of 2009, and has sold over 4.9 million copies in the United States as of January 2019. It has since been certified six-times Platinum by the Recording Industry Association of America (RIAA). It peaked at number two on the US Billboard 200, and also topped the Dance/Electronic Albums chart for 175 non-consecutive weeks, the most time on top in history. It was a commercial success, topping the charts in several countries including the United Kingdom, Canada, Germany, Ireland, Poland, and Switzerland. The album received generally favorable reviews from critics, who commended its lyrical content, Gaga's musicianship and vocal ability. The album was primarily promoted through The Fame Ball Tour and multiple television appearances, and was reissued as a deluxe edition with The Fame Monster on November 18, 2009. Lyrically, it visualizes Gaga's love of fame in general, while also dealing with subjects such as love, sex, money, drugs, and sexual identity. Musically, The Fame is an electropop, synth-pop, and dance-pop record that displays influences from 1980s music. After joining KonLive Distribution and Cherrytree Records in 2008, Gaga began working on the album with different producers, primarily RedOne, Martin Kierszenbaum, and Rob Fusari. It was released on August 19, 2008, by Interscope Records. 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Official Guide Book Review TVアニメ『映像研には手を出すな!』公式ガイド details :īuy From | Amazon CA | Amazon UK | Amazon FR | Amazon IT | Amazon DE | Amazon ES That said, this official guide book still comes highly recommended. Just like Science Saru studio’s earlier series PingPong, I hope the publishers will also release a more full fledged art book showcasing the background art, color keys/image boards and sketches by Masaaki Yuasa. The story and friendship between the three high school girls are hilarious and engaging, and the process of their anime creation gives viewers a good window into how the animation is actually done. Definitely check out his two published sketchbooks – ( see here and here ). (above and below) In the anime, these character/mecha design and settei sketches are drawn by Asakusa-shi, but they are actually the wonderful watercolor illustrations done by the director Masaaki Yuasa. This official guidebook for the anime series includes materials like plot synopsis, character, environment designs and model sheets, as well as what I think is the highlight – amazing settei ( art boards, production sketches ) illustrated by director Masaaki Yuasa, which are not unlike those that we seen in his two absolutely delightful sketchbooks ( see here and here ). Keep Your Hands Off Eizouken! (映像研には手を出すな!) is a Japanese manga series written and illustrated by Sumito Owara, following the whimsical adventures of three high school girls as they pit against the bureaucracy of the school board to realize their ultimate passion – anime creation ! This excellent manga has since been adapted into an equally fantastic anime series by Science Saru studios, the brainchild of Eunyoung Choi and Masaaki Yuasa who has bought us such amazing series like PingPong and Devilman Crybaby. It can be individually tailored mac your specific operations, thanks to flexible license models. 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