21![NOTES ON BACKWARDS REASONING Consider proving the identity cosec θ − sin θ = cos θ cot θ. This question is often answered with the right ideas — but incorrectly — in the following manner. so NOTES ON BACKWARDS REASONING Consider proving the identity cosec θ − sin θ = cos θ cot θ. This question is often answered with the right ideas — but incorrectly — in the following manner. so](https://www.pdfsearch.io/img/a406da640a5032ce213fa5dfe4535e88.jpg) | Add to Reading ListSource URL: engmaths.group.shef.ac.uk- Date: 2017-08-24 06:17:44
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22![SCALAR PRODUCTS 5 minute review. Recap how the standard unit basis vectors i, j and k work, and cover the fact that ai + bj + ck is often written as (a, b, c). Recap the scalar product, both as u · v = |u||v| cos θ (w SCALAR PRODUCTS 5 minute review. Recap how the standard unit basis vectors i, j and k work, and cover the fact that ai + bj + ck is often written as (a, b, c). Recap the scalar product, both as u · v = |u||v| cos θ (w](https://www.pdfsearch.io/img/4b1edf6f13de0484ff47ed5f5f8bebe5.jpg) | Add to Reading ListSource URL: engmaths.group.shef.ac.uk- Date: 2017-08-24 06:17:44
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23![EULER’S RELATION 5 minute review. Review Euler’s relation, eiθ = cos θ + i sin θ, commenting briefly on how it follows from the Maclaurin series of exp, sin and cos. Discuss how this means that any complex number EULER’S RELATION 5 minute review. Review Euler’s relation, eiθ = cos θ + i sin θ, commenting briefly on how it follows from the Maclaurin series of exp, sin and cos. Discuss how this means that any complex number](https://www.pdfsearch.io/img/e21d10a5c72ff8ef47b41cf06e6e580c.jpg) | Add to Reading ListSource URL: engmaths.group.shef.ac.uk- Date: 2017-08-24 06:17:44
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24![DE MOIVRE’S THEOREM 5 minute review. Recap de Moivre’s Theorem, cos(nθ) + i sin(nθ) = (cos θ + i sin θ)n , and how to solve z n = r(cos θ +i sin θ) for z, perhaps by doing the warm-up below. Class warm-up. Fin DE MOIVRE’S THEOREM 5 minute review. Recap de Moivre’s Theorem, cos(nθ) + i sin(nθ) = (cos θ + i sin θ)n , and how to solve z n = r(cos θ +i sin θ) for z, perhaps by doing the warm-up below. Class warm-up. Fin](https://www.pdfsearch.io/img/9298cfc8e5e419d5fa290b87de600c78.jpg) | Add to Reading ListSource URL: engmaths.group.shef.ac.uk- Date: 2017-08-24 06:17:44
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25![THE ARGAND DIAGRAM 5 minute review. Review the argand diagram (aka argand plane, aka complex plane), the modulus and argument and the polar form of a complex number as z = r(cos θ + i sin θ). Also cover the geometric THE ARGAND DIAGRAM 5 minute review. Review the argand diagram (aka argand plane, aka complex plane), the modulus and argument and the polar form of a complex number as z = r(cos θ + i sin θ). Also cover the geometric](https://www.pdfsearch.io/img/a7aa85e3764574260013c6611b0ab8f9.jpg) | Add to Reading ListSource URL: engmaths.group.shef.ac.uk- Date: 2017-08-24 06:17:44
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26![Journal of Machine Learning Research3536 Submitted 5/12; Revised 3/13; PublishedLov´asz ϑ function, SVMs and Finding Dense Subgraphs Vinay Jethava Journal of Machine Learning Research3536 Submitted 5/12; Revised 3/13; PublishedLov´asz ϑ function, SVMs and Finding Dense Subgraphs Vinay Jethava](https://www.pdfsearch.io/img/520c65de5d570fb8de4dc0efd1e58190.jpg) | Add to Reading ListSource URL: jmlr.org- Date: 2013-12-09 15:24:01
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27![PGM lecture notes: pseudo-likelihood Amir Globerson (modified by David Sontag) Consider a pairwise Markov random field and data {x(m) }m=1...M : 1 Pij θij (xi ,xj ) e Z(θ) PGM lecture notes: pseudo-likelihood Amir Globerson (modified by David Sontag) Consider a pairwise Markov random field and data {x(m) }m=1...M : 1 Pij θij (xi ,xj ) e Z(θ)](https://www.pdfsearch.io/img/262b3d94b52d56d02ea4fedf4c52d204.jpg) | Add to Reading ListSource URL: cs.nyu.edu- Date: 2015-11-17 16:00:53
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28![INFORMATICS DEVELOPMEN T AGENCY ΚΕΝΣΡΟ ΕΡΕΤΝΩΝ ΓΙΑ ΘΕΜΑΣΑ ΙΟΣΗΣΑ (Κ.Ε.Θ.Ι.) Σαχ. Δ/νςη : Φαριλϊου Σρικούπη αρ. 51 & Βαλτετςύου INFORMATICS DEVELOPMEN T AGENCY ΚΕΝΣΡΟ ΕΡΕΤΝΩΝ ΓΙΑ ΘΕΜΑΣΑ ΙΟΣΗΣΑ (Κ.Ε.Θ.Ι.) Σαχ. Δ/νςη : Φαριλϊου Σρικούπη αρ. 51 & Βαλτετςύου](https://www.pdfsearch.io/img/e31c379e96af10454d9294c5760a76f3.jpg) | Add to Reading ListSource URL: www.isotita.gr- Date: 2016-10-17 05:20:11
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29![The Sandwich Theorem Donald E. Knuth Abstract: This report contains expository notes about a function ϑ(G) that is popularly known as the Lov´ asz number of a graph G. There are many ways to define ϑ(G), and the surpr The Sandwich Theorem Donald E. Knuth Abstract: This report contains expository notes about a function ϑ(G) that is popularly known as the Lov´ asz number of a graph G. There are many ways to define ϑ(G), and the surpr](https://www.pdfsearch.io/img/236aee717304e71830a6781173bd7865.jpg) | Add to Reading ListSource URL: www.emis.de- Date: 1998-07-27 15:54:10
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30![ུΏϋεΐ;θ͉Ȃ़ף౬༹૽ີ५ࡇ़̩͌͂̿ͤ౬͈੩଼̫̞̳ͬ̀͘ȃ ີ५ఱڠ౷֖࠲ࢫΏϋεΐ;θijıIJĵ ȶ࠲ࢫ̈́ࣞႢ২ٛͬ࿒ঐ̱̀ȷ ȡ̹ͩͦηνΣΞͻ͈ठࢹಃͬࣉ̢ ུΏϋεΐ;θ͉Ȃ़ף౬༹૽ີ५ࡇ़̩͌͂̿ͤ౬͈੩଼̫̞̳ͬ̀͘ȃ ີ५ఱڠ౷֖࠲ࢫΏϋεΐ;θijıIJĵ ȶ࠲ࢫ̈́ࣞႢ২ٛͬ࿒ঐ̱̀ȷ ȡ̹ͩͦηνΣΞͻ͈ठࢹಃͬࣉ̢](https://www.pdfsearch.io/img/c5c970ce16d16dbcc81216cded936eeb.jpg) | Add to Reading ListSource URL: www.sugitani.u-toyama.ac.jp- Date: 2015-07-15 23:39:49
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