Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations

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A secret field that summons lightning. A massive spiral that disappears into a salt lake. A celestial observatory carved into a volcano. Meet the wild—and sometimes explosive—world of land art, where artists craft masterpieces with dynamite and bulldozers. In our Season 2 premiere, guest Dylan Thuras, cofounder of Atlas Obscura, takes us off road and into the minds of the artists who literally reshaped parts of the Southwest. These works aren’t meant to be easy to reach—or to explain—but they just might change how you see the world. Land art you’ll visit in this episode: - Double Negative and City by Michael Heizer (Garden Valley, Nevada) - Spiral Jetty by Robert Smithson (Great Salt Lake, Utah) - Sun Tunnels by Nancy Holt (Great Basin Desert, Utah) - Lightning Field by Walter De Maria (Catron County, New Mexico) - Roden Crater by James Turrell (Painted Desert, Arizona) Via Podcast is a production of AAA Mountain West Group.…

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This story was originally published on HackerNoon at: https://hackernoon.com/mutations-of-noncommutative-crepant-resolutions-appendix-a-matrix-factorizations.
This paper studies equivalences between magic windows that correspond to wall-crossings in a hyperplane arrangement in terms of NCCRs.
Check more stories related to science at: https://hackernoon.com/c/science. You can also check exclusive content about #geometric-invariant-theory, #nccrs, #iyama-wemyss-mutations, #calabi-yau, #magic-windows, #exchanges-of-modules, #quasi-symmetric-representation, #wall-crossing, and more.
This story was written by: @eigenvector. Learn more about this writer by checking @eigenvector's about page, and for more stories, please visit hackernoon.com.
This paper studies equivalences between magic windows that correspond to wall-crossings in a hyperplane arrangement in terms of NCCRs.

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Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations

Science Tech Brief By HackerNoon

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This story was originally published on HackerNoon at: https://hackernoon.com/thermodynamic-limits-around-m-dwarf-stars-acknowledgements . In this study, researchers explore the feasibility and potential characteristics of photosynthetic light-harvesting on exo-planets. Check more stories related to science at: https://hackernoon.com/c/science . You can also check exclusive content about #exoplanets , #thermodynamic-limits , #oxygenic-photosynthesis , #m-dwarf-stars , #light-harvesting , #low-mass-stars , #oxygenic-cyanobacteria , #nasa-exoplanet-archive , and more. This story was written by: @photosynthesis . Learn more about this writer by checking @photosynthesis's about page, and for more stories, please visit hackernoon.com . In this study, researchers explore the feasibility and potential characteristics of photosynthetic light-harvesting on exo-planets.…

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This story was originally published on HackerNoon at: https://hackernoon.com/8-common-data-security-gaps-in-health-care . Health care data security is crucial but can be challenging. Here are the most common data security gaps to address. Check more stories related to science at: https://hackernoon.com/c/science . You can also check exclusive content about #healthcare , #data-security , #cybersecurity , #health-data , #data-storage , #medical-security , #third-party-risk-management , #it , and more. This story was written by: @zacamos . Learn more about this writer by checking @zacamos's about page, and for more stories, please visit hackernoon.com . The most common gaps in health care data security are adequately securing disparate data storage systems; enabling lateral movement with interconnected systems; brushing aside the need to revisit data sources; ignoring third-party vendors' roles in data security; minimizing medical wearable and implantable threats; improperly disposing of outdated data; viewing cybersecurity and data security as separate; and merging legacy and modern storage systems.…

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This story was originally published on HackerNoon at: https://hackernoon.com/ask-these-10-questions-to-transform-your-leadership-approach . Discover key insights and strategies for leaders to tackle complex challenges, enhance team performance, and foster a healthy work environment Check more stories related to science at: https://hackernoon.com/c/science . You can also check exclusive content about #leadership-skills , #leadership-development , #engineering-leadership , #how-to-be-a-better-leader , #entrepreneurship , #startups-advice , #advice-for-ceos , #managing-technical-people , and more. This story was written by: @vinitabansal . Learn more about this writer by checking @vinitabansal's about page, and for more stories, please visit hackernoon.com . Leaders face increasing complexity and higher expectations as they climb the hierarchy. It's crucial to focus on leadership style, organizational structure, decision-making, and team well-being. Regular self-reflection and addressing key challenges like fostering creativity, psychological safety, and managing ambiguity can significantly improve leadership effectiveness and team performance.…

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This story was originally published on HackerNoon at: https://hackernoon.com/exploring-hockey-stick-theorems-abstract-introduction-and-description-of-results . Investigating hockey stick theorems in Pascal's and trinomial triangles, revealing patterns akin to ball trajectories in combinatorial mathematics. Check more stories related to science at: https://hackernoon.com/c/science . You can also check exclusive content about #math , #pascal's-triangle , #trinomial-triangle , #hockey-stick-theorem , #combinatorial-mathematics , #mathematical-theorems , #pascal's-identity , #mathematical-patterns , and more. This story was written by: @hockeystick . Learn more about this writer by checking @hockeystick's about page, and for more stories, please visit hackernoon.com . This paper is available on arxiv(https://arxiv.org/abs/1404.5106) under CC BY 4.0 DEED license. The big hockey stick theorem is a special case of a general theorem which our goal is to introduce it. We state a hockey Stick theorem in the trinomial triangle too.…

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This story was originally published on HackerNoon at: https://hackernoon.com/exploring-hockey-stick-theorems-proof-of-results-and-references . Investigating hockey stick theorems in Pascal's and trinomial triangles, revealing patterns akin to ball trajectories in combinatorial mathematics. Check more stories related to science at: https://hackernoon.com/c/science . You can also check exclusive content about #math , #pascal's-triangle , #trinomial-triangle , #hockey-stick-theorem , #combinatorial-mathematics , #mathematical-theorems , #pascal's-identity , #mathematical-patterns , and more. This story was written by: @hockeystick . Learn more about this writer by checking @hockeystick's about page, and for more stories, please visit hackernoon.com . In the proof of both theorems, we use induction. This paper is available on arxiv(https://arxiv.org/abs/1404.5106) under CC BY 4.0 DEED license. The hockey stick theorem in the trinomial triangles has been proved. It can be translated in Pascal pyramid as follows.…

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Science Tech Brief By HackerNoon « » Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations

Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations

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Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations