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oiqb3hr5fwvu8 · 1 year

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wkzbomfq9hik · 1 year

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yourbestamericangirlmp3 · 1 year

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“imagine a symplectic manifold – and if you don’t know what a symplectic manifold is, just imagine a projective variety, that’s good enough”

#i am assuming that most of the people in this talk are symplectic geometers or topologists of some kind???#so this strikes me as a very funny comment to make #poast.txt

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riemmetric · 5 months

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One frustrating thing about being a mathematician is that people who aren't into math heard that Einstein quote that's like "you haven't understood something unless you can explain it in layman's terms" and use it to mean "if it can't be explained to me in five minutes it's needlessly complicated, this person is a pretentious snob and academia is gatekeeping knowledge". And like everything in life, the matter of scientists not being able to/not caring to explain their work to people who aren't at the same level of expertise as them is a complex one that is worthy of being discussed, but here's the thing that you have to keep in mind if you haven't done math since high school:

the further you get into math, the more specialized your field becomes. You start working of puzzles that are small, but fit into a greater web of similar problems, like knitting a beautiful flower that's meant to be incorporated into a huge quilt. And all of math is build on top of each other, so you can't get to the most interesting, current math being discussed in the world without getting through the building blocks that are taught to you in elementary school, high school and the university.

You ask me to explain my thesis to you and I can tell you the title, but you won't know what the main words in it mean. And that's not because you are stupid, that's just because to learn that word you have to spend time learning a hundred others. I love math, it's my favourite thing in the universe and I always have time to talk about it, so if you want, we can sit down and I'll tell you everything you need to know to understand what I'm currently working on. You can ask me questions and I will reformulate, you can ask me to go over things again and I will oblige. With your permission, I will get a piece of paper and draw shapes and schemes to help us, but it won't take five minutes. It can't take just five minutes. That is a concession you will have to make if you truly want to learn.

(Unfortunately, I don't want to disclose the title of my thesis on tunglr dot hell, because it's super specific and I don't feel like doxxing myself. But I hope this resonates with some people. I work both in symplectic geometry and Riemannian geometry, and I have to say between the two Riemannian is a little bit easier to explain, because I can just talk about distances, but symplectic geometry or Lie groups... I'm afraid I just can't explain those in a sentence because they rely on people knowing what differentiation means, and that's not knowledge you necessarily retain if you work outside a stem field. Explaining that in a few sentences would eat up the whole five minutes).

#mathblr #just my two cents #maybe I AM just stupid and bad at words #but i think this is a problem specific to maths because a lot of our stuff is abstract examples and applications of other abstract things #stuff that applies to surfaces and curves? i can kinda explain those #but something like coadjoint orbits? how the hell do you explain that to someone who barely remembers what a function is?#how do you get through the progression of lie groups - lie algebras - dual lie algebras with someone who doesn't know what differentiaion i

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selfaware-bungou-stray-dogs · 5 months

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Accidentally deleted your last ask, 🕰️ Anon, but saved the answer.

I don't think, that that will scare BSD Cast off.

There is a difference between having a difficult character/attitude and being a bad, manipulative person.

BSD Cast won't pretend to be angels, they knew, that they have their own faults.

Ranpo does know, that he has a huge ego, and he won't forget it, just because others more or less fine with this.

Dazai still don't see himself as good person, he remembered, what he has done and what he can do.

Fyodor won't pose as a savior. Now, he is trying to be a good person, acquaintances and friends, but, he knew, what he has done.

Kuyoka remember her assassin's skills.

Chuuya knew, that he has a temper.

Even Kenji knew, that he can be dangerous.

They won't leave GL for having an attitude, they won't leave GL for being clingy or selfish.

BSD Cast like everything about Guiding Light. All their good traits. All bad traits. For the Guiding Light are a real human, not perfect, not awful. Just a person, who has their own faults, but, nevertheless, a good person.

It's a story about people, who has their own faults accepts them, overcome them and build new relationships.

BSD cast will view themselves as hypocrites, if they leave Guiding Light, because they don't have a perfect character. BSD Cast knew, that they can be viewed by others in very symplectic way.

Example (not trying to attack anyone):

- Dazai knew, that he can be seen as a clown on shrooms;

- Chuuya knew, that he can be viewed as stupid angry shorty;

- Atsushi knew, that he can be viewed as crybaby, who whine 24/7.

And BSD Cast knew, that they are more, then that.

And Guiding Light are more, than their faults.

BSD Cast will only leave in one case.

If Guiding Light won't see them as humans. If Guiding Light will only talk to Francis, if they need money. If they laugh at BSD Cast, when they remember something sad from their lives. If they view Gogol only as 'funny clown', Sigma only as 'big stupid' baby', Kunikida only as 'stick in a mud' and so on. If GL will laugh at their troubles, or force them into doing something, BSD Cast don't like. If GL will see them as fictional character, without rights or emotions.

If GL are distant, or apathetic, or have short temperament, or can be selfish, it won't make BSD Cast hate them or abandon them.

#self-awarebsd #self-awareau #bungou stray dogs au

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natureintheory · 1 year

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Portal to a mathematical universe • 2021

"That’s one of the exciting things about math. You can go through a door and you wind up in a completely different universe.”

- Jack Morava, mathematician

Art direction / concept / 3D illustration by me - Olena Shmahalo for Quanta Magazine. For a 2021 article on symplectic geometry, by Kelsey Houston-Edwards: Mathematicians Transcend Geometric Theory of Motion

Sketches, WIP:

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sub-at-omicsteminist · 9 months

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Meike Akveld

Meike Maria Elisabeth Akveld is a Swiss mathematician and textbook author, whose professional interests include knot theory, symplectic geometry, and mathematics education. She is a tenured senior scientist and lecturer in the mathematics and teacher education group in the Department of Mathematics at ETH Zurich. She is also the organiser of the Mathematical Kangaroo competitions in Switzerland, and president of the Association Kangourou sans Frontières, a French-based international society devoted to the popularisation of mathematics.

Knot theory

Symplectic geometry

#science #stem #maths #mathematics #stemblr #women in stem

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deerest-me · 7 months

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lots of people have listed great reasons for why grocery shopping is a sensory hell

but for me the worst part is having to use my brain's symplectic integrator to predict the trajectories of more than 100 people based on their current position (current position), angle they are facing (direction of next time step), and how possessed by the spirit of suburbia they are by the look of their face (walking speed indicator)

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transgenderer · 1 year

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i was talking with one of the upper year grad students at my uni and apparently the only prof who does riem geo stuff is a category theorist....theres a bunch of people who like symplectic stuff tho. so maybe ill just do that.

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quantumtimemeasure · 1 day

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https://m-a-o.hatenablog.com/entry/20130303/p2

コヒーレント状態からコヒーレント状態への遷移振幅(この計算はcoherent state path integralとか呼ばれる)の定常位相近似を取ると、コヒーレント状態の空間(symplectic多様体だった)が丁度古典的な相空間と見なせる正準方程式を導出できて、集団運動の古典的振る舞いを取りだすことができる。

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ramtracking · 1 month

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Geometers Engineer New Tools to Wrangle Spacecraft Orbits [ Knot theory ]

Geometers Engineer New Tools to Wrangle Spacecraft Orbits [Highlights] Mathematicians think abstract tools from a field called symplectic geometry might help with planning missions to far-off moons and planets. Scientists have figured out how to plot the most fuel-efficient routes through space, just like a cosmic sat-nav, or satellite-navigation. Just as sat-nav did away with the need to argue…

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coinmystique · 4 months

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A Pioneering CollaborationDigital Science, a trailblazer in analysis know-how, is elated to disclose that ETH Zurich has built-in the Symplectic Grant Tracker into its analysis funding arsenal. This strategic transfer goals to bolster world-renowned analysis endeavors, doubtlessly unveiling transformative insights or groundbreaking applied sciences.Grant Tracker: A Recreation-Changer for Analysis FundingAt its core, the Grant Tracker is architected to seamlessly cater to the varied necessities of the analysis funding realm. This instrument boasts capabilities designed to:Empower Candidates: Grant Tracker streamlines the applying course of, providing a user-friendly expertise.Facilitate Reviewers & Funders: By standardizing operations and simplifying analysis processes, Grant Tracker ensures an efficient grants administration journey.Highlight on ETH Zurich’s Imaginative and prescientETH Zurich’s Analysis Grants initiative stands as a beacon for pioneering analysis tasks of their infancy. This system embraces grant proposals that tread on unexplored paths, championing ingenious, risk-laden methods with the potential to catalyze awe-inspiring discoveries throughout ETH Zurich’s big selection of disciplines.Why Symplectic Grant Tracker?Martine Vernooij, the Scientific Coordinator at ETH Zurich, sheds mild on their determination: “The Symplectic Grant Tracker caught our attention with its robust grant administration features, user-centric design, and its prowess in standardizing complex procedures. Its impeccable performance history coupled with its adeptness in facilitating evaluation panels and external reviewer management made it an obvious choice.”She additional provides, “The integration process was a breeze, and our dealings with Digital Science were marked by utmost professionalism and warmth. Given the ETH community’s overwhelming approval, we’ve opted to employ the software across diverse internal funding channels.”A Shared Imaginative and prescient for the FutureBrian Armour, the face behind Symplectic Grant Tracker’s options, shares his enthusiasm, “We eagerly anticipate partnering with ETH Zurich. Together, we’ll champion their commitment to knowledge creation and technological advancement, aiming to address the pressing global concerns of our era.”Supply: https://blockchainreporter.web/eth-zurich-elevates-research-efforts-with-symplectic-grant-tracker/

#Ethereum

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shahananasrin-blog · 8 months

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[ad_1] Newswise — Digital Science, a technology company serving stakeholders across the research ecosystem, is pleased to announce that ETH Zurich has chosen Symplectic Grant Tracker from Digital Science’s suite of flagship products to power its internal funding program, to promote world-class research with the potential to result in fundamental new knowledge or technologies and exciting discoveries. Designed from the outset to meet research funding needs, Grant Tracker includes features to assist applicants, reviewers, committees and funders and help them to work efficiently and effectively across the grants management lifecycle.The ETH Zurich Research Grants program provides seed funding for new research and development directions at an early stage. In the focus are grant applications that venture into uncharted territory and involve highly creative and original as well as high-risk approaches with the potential for exciting new discoveries in all disciplines represented at ETH Zurich.“We chose Symplectic Grant Tracker for ETH Zurich because it is a comprehensive grant management system that offers intuitive user interfaces, simplifies processes (e.g. evaluation panels and handling of external reviewers), standardises workflows and has a proven track record,” said Martine Vernooij, Scientific Coordinator at ETH Zurich.“The implementation of the software was straightforward and the interaction with the company was overly pleasant – professional, courteous, friendly. The ETH community is very satisfied and we have therefore decided to implement the software for a wide range of internal funding streams.”Brian Armour, Solutions Consultant for Symplectic Grant Tracker, said: “We are looking forward to working with ETH Zurich as they deliver this exciting research grant program, supporting their mission to create knowledge and develop technologies to meet the global challenges of our time.”About ETH ZurichSituated in the heart of Europe, yet forging connections all over the world, ETH Zurich is pioneering solutions to the global challenges of today and tomorrow. It has more than 20,000 students from over 120 different countries.About Digital ScienceDigital Science is an AI-focused technology company providing innovative solutions to complex challenges faced by researchers, universities, funders, industry and publishers. We work in partnership to advance global research for the benefit of society. Through our brands – Altmetric, Dimensions, Figshare, ReadCube, Symplectic, IFI CLAIMS Patent Services, Overleaf, Ripeta, Writefull, OntoChem, Scismic and metaphacts – we believe when we solve problems together, we drive progress for all. Visit www.digital-science.com and follow @digitalsci on Twitter/X or on LinkedIn.About Symplectic Grant TrackerSymplectic Grant Tracker delivers effective, impactful grants management for research funding organisations. With 15+ years of streamlining the management and administration of grant-making, we specialise in empowering mission-driven organisations to make strategic funding decisions. Symplectic Grant Tracker underpins the pre and post award processes for 50+ funding agencies who collectively award more than $2 billion annually, including The Howard Hughes Medical Institute (HHMI), National Insititute for Health Research (NIHR), Versus Arthritis and The Leverhulme Trust. window.fbAsyncInit = function () FB.init( appId: '890013651056181', xfbml: true, version: 'v2.2' ); ; (function (d, s, id) var js, fjs = d.getElementsByTagName(s)[0]; if (d.getElementById(id)) return; js = d.createElement(s); js.id = id; js.src = " fjs.parentNode.insertBefore(js, fjs); (document, 'script', 'facebook-jssdk')); [ad_2]

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physics-scholars · 1 year

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Who can give us a list of the different divisions of mathematics, eg. Statistics, Algebra, Geometry, Trigonometry, How many others are missing?

Some of the major divisions of mathematics:

1. Algebra

2. Analysis (which includes calculus, real analysis, complex analysis, functional analysis, etc.)

3. Geometry (which includes Euclidean geometry, topology, differential geometry, etc.)

4. Number theory

5. Combinatorics

6. Logic

7. Set theory

8. Statistics (which includes probability theory, inferential statistics, and descriptive statistics)

9. Numerical analysis

10. Optimization

11.Game theory

12. Graph theory

13. Cryptography

14. Information theory

15. Applied mathematics (which includes many of the above areas applied to specific fields like physics, engineering, economics, etc.)

16. Algebraic geometry

17. Differential equations

18. Dynamical systems

19. Mathematical physics

20. Mathematical logic

21. Mathematical modeling

22. Nonlinear analysis

23. Partial differential equations

24. Representation theory

25. Topology

26. Category theory

27. Probability theory

28. Stochastic processes

29. Number theory

30. Mathematical finance

31. Arithmetic geometry

32. Homological algebra

33. Lie theory

34. Algebraic topology

35. Functional analysis

36. Operator theory

37. Geometric analysis

38. Mathematical biology

39. Control theory

40. Differential topology

41. Computational mathematics

42. Information geometry

43. Symplectic geometry

44. Measure theory

45. Algebraic combinatorics

46. Mathematical education

47. History of mathematics

48. Mathematical philosophy

49. Quantum field theory

50. Representation theory

51. Noncommutative geometry

52. Topological data analysis

53. Group theory

54. Algebraic number theory

55. Discrete mathematics

56. Game theory

57. Information theory

58. Mathematical physics

59. Mathematical logic

60. Model theory

61. Commutative algebra

62. Complex dynamics

63. Differential geometry

64. Harmonic analysis

65. Mathematical optimization

66. Mathematical statistics

67. Category theory

68. Combinatorial game theory

69. Computational algebra

70. Financial mathematics

71. Quantum computing

72. Graph theory

73. Mathematical biology

74. Mathematical physics

75. Numerical linear algebra

76. Operator algebras

77. Partial differential equations

78. Probabilistic combinatorics

79. Quantum information theory

80. Random matrix theory

81. Representation theory

82. Topological quantum field theory

83. Algebraic coding theory

84. Arithmetic combinatorics

85. Convex geometry

86. Discrete geometry

87. Financial mathematics

88. Game theory

89.Mathematical logic

90. Mathematical optimization

91. Ergodic theory

92. Geometric group theory

93. Homotopy theory

94. Inverse problems

95. K-theory

96. Model categories

97. Nonlinear analysis

Number theory

98. Optimal control

99. PDEs on manifolds

100. Quantum field theory

101. Random walks

102. Statistical mechanics

103. Algebraic topology

104. Combinatorial optimization

105. Combinatorial representation theory

106. Computational group theory

107. Convex analysis

108. Cryptography

109. Dynamical systems

110. Fractional calculus

111. Geometric topology

112. Lie groups and Lie algebras

113. Measure theory and integration

114. Operator theory and functional analysis

115. Spectral theory

116. Topological dynamics

117. Topological graph theory

118. Algorithmic graph theory

119. Applied algebraic geometry

120. Arithmetic dynamics

121. Combinatorial geometry

122. Complex analysis

123. Differential topology

124. Discrete optimization

125. Elliptic curves

126. Geometric measure theory

127. Graph coloring

128. Homological stability

129. Information-based complexity

130. Mathematical physics

131. Model theory

132. Nonlinear waves

133. Number theory

134. Orthogonal polynomials

134. Quantum mechanics

135. Smooth dynamical systems

137. Topological combinatorics

138. Topological quantum computing

139. Algebraic K-theory

140. Analytic number theory

141. Combinatorial designs

142. Computational complexity theory

143. Dynamical systems and chaos

144. Geometric analysis

145. Homotopy type theory

146. Mathematical modeling

147. Model categories

148. Nonlinear functional analysis

149. Numerical analysis

150. Operator algebras and quantum groups

151. Random structures and algorithms

152. Topological methods in combinatorics

153. Algebraic geometry and topology

154. C*-algebras

155. Computational algebraic geometry

156. Ergodic theory and entropy

157. Formal proof

158. Lie theory and representation theory

159. Mathematical finance

These are just a small selection of the many different subfields of mathematics.

The subject of mathematics is incredibly vast and diverse, encompassing many different areas of study and application.

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natureintheory · 1 year

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3D science & math visuals • 2019-2021

Although I like to tell the stories of natural phenomena (and the science experiments that find them) through metaphor and fantastical imagery,

For work I sometimes create more abstract, minimalistic, and diagrammatic / graphical visualizations. Most of these are still frames from animations.

Personal; lighting & materials R&D

3D illustration for a 2019 Quanta Magazine article by Kevin Hartnett: Big Question About Primes Proved in Small Number Systems → https://tinyurl.com/QMtwinPrimes2019

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Minimalistic 3D illustration for a Quanta Magazine article about symplectic geometry, by Kevin Hartnett: How Physics Found a Geometric Structure for Math to Play With → https://tinyurl.com/QMsymplectic2020

Fragile DNA Enables New Adaptations to Evolve Quickly. Editorial illustration: broken glass DNA in 3D for a biology/evolution article at Quanta Magazine. → https://bit.ly/2WJ5UZ2

Artistic interpretation of a new kind of graph formed like "a richly interconnected web of booklets". For a 2021 Quanta Magazine article on graph theory, by Mordechai Rorvig: Researchers Defeat Randomness to Create Ideal Code → https://tinyurl.com/QMexpander21

Gradient descent is an algorithm used to find the local minimum values of functions. Still from an animation for a Quanta Magazine article about gradient descent, by Nick Thieme: Computer Scientists Discover Limits of Major Research Algorithm → https://tinyurl.com/QMgradientDescent2021

Still from an animated 3D illustration for a Quanta Magazine article by Max G. Levy: Banach-Tarski and the Paradox of Infinite Cloning → https://tinyurl.com/QMBanachTarski2021

Still from a looping globe animation; percentages from data in June of 2021. Art direction & illustration for a 2021 Quanta Magazine article by Puja Changoiwala: A Lack of COVID-19 Genomes Could Prolong the Pandemic. Story with interactive infographics → https://tinyurl.com/QMCOVIDGenome2021

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viralnews-1 · 2 years

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The Fibonacci Numbers Hiding in Strange Spaces

McDuff and Schlenk had been trying to figure out when they could fit a symplectic ellipsoid—an elongated blob—inside a ball. This type of problem, known as an embedding problem, is pretty easy in Euclidean geometry, where shapes don’t bend at all. It’s also straightforward in other subfields of geometry, where shapes can bend as much as you like as long as their volume doesn’t change. Symplectic…

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