Saturday, April 20, 2024

3.185 AMICOR (26)

 3.185 AMICOR (26)

#Com Dra. Valderês A. Robinson Achutti (13/06/1931+15/06/2021)

Visitando um parque no Japão em maio de 2001

#Re-Publicando artigos antigos meus

TRAGÉDIA HUMANA (nos dias da queda das torres gêmeas:11/09/2001)
Aloyzio Achutti.

    O horror dos últimos dias que a todos nos chocou, não foi somente uma tragédia Americana, mas é um desastre para a humanidade. As pessoas diretamente afetadas e suas famílias certamente merecem nossa compaixão e condolências, mas o que vivenciamos não foi somente o assassinato de gente inocente por uma corja de desvairados agentes suicidas, as duas torres destruídas, e os aviões espatifados. Alguns valores, sonhos e ilusões também foram destruídos.

    Nos todos estamos chocados pela evidência de que o mal não está somente em nossas categorias clássicas de doenças, nos ferimentos não intencionais, acidentes e delinqüência comum. Nos ficamos todos contaminados pela ira, pelo ódio, e sentimentos de vingança. Não houve uma arma química ou biológica, mas explodiu uma bomba muito mais potente, perigosa, penetrante e insidiosa. Nossa racionalidade foi dominada por maus sentimentos, e demônios afetivos, que temos dentro de nós, estão agora soltos.

    Estamos todos chocados pela evidência de que a cadeia epidemiológica é mais intrincada e mais longa do que habitualmente a consideramos, não é somente um azar ou conseqüência de forças misteriosas, mas pode estar associada com o comportamento humano, e a maldade intrínseca. Nos todos estamos chocados pela evidência de que não somente no extremo da pobreza residem as ameaças para a vida e para a saúde, mas também do outro lado. Provavelmente as variáveis a serem consideradas, mais do que a simples magnitude isolada dos fenômenos, devam ser seus desequilíbrios e iniquidades. Estamos chocados pela evidência de que agora não somente a economia é global, mas também a política e outras coisas boas e más.

    Muitos sintomas aos quais nós progressivamente fomos nos acostumando, como a deterioração das relações humanas, a perda de valores tradicionais, e artes como a da medicina, dominação e dependência, discriminação e intolerância, promoção da violência e do ódio a qualquer pretexto, cobiça desenfreada, agora explodiram.

    Os frutos da força bruta e da violência são o sofrimento, mais ódio, destruição e morte. Nossa profissão está voltada essencialmente para a vida, e não podemos tolerar qualquer outra alternativa. Apesar de tudo, ainda existe uma saída: precisamos desesperadamente reforçar a amizade, o respeito, a compreensão, a tolerância, solidariedade, compaixão, e o mútuo apoio daqueles que tiverem ainda boa vontade.

#Eduardo Belardinelli Achutti

Nosso neto mais jovem, filho de nosso primeiro filho, Luiz Eduardo, e irmão da Júlia, também filhos da Maria Cristina Belardinelli, completou em Lily a primeira etapa de sua formação superior, iniciada em Roma. Vai defender tese em outubro próximo, e continuar sua pós-graduação em Turim.

Deu-me enorme prazer, chamando-me por WA-vídeo, para dar essas notícias, no início da semana
#

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Think you’re familiar with planet Earth? Wait until you explore it through the unique perspectives of Nautilus writers. Our latest eBook, “Earth,” contains five stories about the planet we call home, including the award-nominated essay “The Great Forgetting.” In it, author Summer Praetorius excavates the Earth’s past and her own, and the rocky relationships that shaped both. Download your free copy of “Earth” today and start exploring today. 
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CONSCIOUSNESS | ALL TOPICS

 

Declaration Extends Animal Consciousness to Insects and Beyond

By DAN FALK

A group of prominent biologists and philosophers announced a new consensus: There’s “a realistic possibility” that insects, octopuses, crustaceans, fish and other overlooked animals experience consciousness.

Read the blog

FUNDAMENTAL PHYSICS

 

Hopes of Big Bang Discoveries Ride on a Future Spacecraft

By ELISE CUTTS

New clues about fundamental physics could come from the Laser Interferometer Space Antenna (LISA), a spacecraft designed to detect gravitational waves that was recently approved by the European Space Agency.

Read the article

Related: 
An Enormous Gravity ‘Hum’
Moves Through the Universe

By Jonathan O'Callaghan (2023)

Q&A

 

Pleasure or Pain? He Maps the Neural Circuits That Decide.

By INGRID WICKELGREN

The work of the neuroscientist Ishmail Abdus-Saboor has opened up a world of insights into precisely how much pleasure and pain animals experience during different forms of touch.

Read the interview

Related: 
Scientists Reveal
Structure of Pain Sensor

By Emily Singer (2014)

COMPUTATIONAL COMPLEXITY

 

Cryptography Tricks Make a Hard Problem a Little Easier

By BEN BRUBAKER

For an important problem, it seemed as though trial and error was the best possible approach. Now researchers have proved that there’s a better way.

Read the article

Related: 
Researchers Identify ‘Master Problem’ Underlying All Cryptography

By Erica Klarreich (2022)

GEOMETRY

 

Geometers Engineer New Tools to Wrangle Spacecraft Orbits

By LEILA SLOMAN

Mathematicians think abstract tools from a field called symplectic geometry might help with planning missions to far-off moons and planets.

Read the article

Related: 
In the ‘Wild West’ of Geometry, Mathematicians Redefine the Sphere

By Leila Sloman (2023)

QUANTA SCIENCE PODCAST

 

Why the Human Brain Perceives Small Numbers Better

By YASEMIN SAPLAKOGLU
Podcast hosted by SUSAN VALOT

A recent neurological study provides an unprecedented look at how number sense works in the human brain.


Listen to the podcast


Read the article

Each week Quanta Magazine explains one of the most important ideas driving modern research. This week, senior math writer Jordana Cepelewicz describes how “toy” problems drive major breakthroughs.

 

Why Math Plays With Toys

By JORDANA CEPELEWICZ

Math is riddled with questions that seem silly or contrived, yet end up being surprisingly deep. Take a simple geometry question that dates back to 1917. Lay an infinitely thin needle on a table, then turn it so that it points in every possible direction. Depending on how you do this, you can sweep out all sorts of shapes: a circle, a triangle, the spiky contours of a sea urchin. What’s the area of the smallest shape you can make this way?
 
Mathematicians have proved that there’s no limit to how small it can be. Furthermore, they’ve formulated different versions of the problem, asking about the size of such shapes for notions of “size” other than area. These variations seem even more arbitrary than the original question — who cares?
 
As it turns out, such questions are intimately connected to some of the most central research programs in mathematics. Last year, I wrote several stories about how a variation of this problem underpins a tower of important conjectures about the behavior of functions, including one about the physics of waves. “Somehow, this geometry of lines pointing in many different directions is ubiquitous in a large portion of mathematics,” one mathematician told me.
 
Some “toy” problems stay just that — intriguing brainteasers that don’t become broadly relevant. But many others become laboratories of sorts: places for mathematicians to test out new ideas, explore novel connections and revisit math’s very foundations.
 
This sort of thing happens too often to be a coincidence. It illustrates the hidden complexity of simple problems and shows just how intertwined different fields of mathematics can be.
 

What’s New and Noteworthy

 
In a conversation with Quanta published in 2018, Tadashi Tokieda, a mathematician at Stanford University, spoke about how he plays with actual toys and everyday objects — strips of paper, balls in a bowl, rolls of quarters — to uncover mathematical insights. “If you come a little fresher, and a little more naïve, you can look all over the place … and find your own surprises,” he said.
 
Earlier this year, Kevin Hartnett wrote about a series of results in this vein, detailing mathematicians’ quest to discover the fattest possible Möbius strip and other “optimal” shapes. Richard Schwartz, one of the leaders of the project, spoke to Quanta a few years ago about what attracts him to such questions. By virtue of being so easy to state, toy problems often captivate mathematicians from different research areas and with varying levels of expertise — promoting novel approaches and diverse ways of thinking.
 
Moreover, “I feel if it’s a simple problem that hasn’t been solved, it probably has some kind of hidden depth to it,” Schwartz said.
 
The centuries-old “sphere packing” problem is a perfect example of this. How can you arrange spheres so that they fill as much space as possible? In 1611, Johannes Kepler conjectured that to get the optimal answer in 3D, you should stack spheres in a pyramid shape, akin to how oranges get piled in a grocery store. But it wasn’t until 1998 that a mathematician named Thomas Hales finally proved this.
 
In higher dimensions, the problem, though still straightforward, is even harder. In 2016, Quanta reported on a groundbreaking result that showed how to optimally pack eight- and 24-dimensional spheres into the densest possible configurations. Central to the work (for which Maryna Viazovska was awarded the Fields Medal in 2022) were complicated mathematical functions called modular forms.
 
Modular forms cropping up in this context came as a surprise to many mathematicians. But perhaps it no longer should: As I reported last year, these functions have also turned up in unexpected ways in number theory, combinatorics, topology, cryptography and even string theory. The sphere-packing problem, because it’s so simple and natural, has helped to cement just how fundamental this highly technical piece of mathematical technology can be.
AROUND THE WEB
The Oxford Mathematics channel on YouTube has a talk by Tokieda in which he uses a single sheet of paper to explore a wide variety of mathematical and scientific phenomena.
Science Friday interviewed Eugenia Cheng about how simple questions, like why 1 + 1 = 2, can make mathematicians question their assumptions.
Tim Gowers, a Fields medalist and celebrated mathematician, wrote a 2000 essay titled “The Two Cultures of Mathematics,” which explores different “types” of mathematicians and the kinds of questions they consider important.

#

Dive into Neural Networks, the backbone of modern AI, understand its mathematics, implement it from scratch, and explore its applications

Image by DALL-E

Neural networks are at the core of artificial intelligence (AI), fueling a variety of applications from spotting objects in photos to translating languages. In this article, we’ll dive into what neural networks are, how they work, and why they’re a big deal in our technology-driven world today./.../


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