☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️
دفاعیه یک ریاضیدان
گادفری هرولد هاردی
"اعداد گنگ برای مهندس جالب نیستند چون او با تقریب سر و کار دارد و تقریب ها همه گویا هستند۰"
@harmoniclib
دفاعیه یک ریاضیدان
گادفری هرولد هاردی
"اعداد گنگ برای مهندس جالب نیستند چون او با تقریب سر و کار دارد و تقریب ها همه گویا هستند۰"
@harmoniclib
☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️
فردا خانه ریاضیات اصفهان
از ساعت ۱۶ تا ۱۹ برنامه گپ و سمینار برقرار است۰
فردا خانه ریاضیات اصفهان
از ساعت ۱۶ تا ۱۹ برنامه گپ و سمینار برقرار است۰
☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️
گپ دانشجویی
با موضوع فرآیندهای تصادفی
با حضور دکتر علی رجالی
و خانم ناهید قدرتی پور
@harmoniclib
گپ دانشجویی
با موضوع فرآیندهای تصادفی
با حضور دکتر علی رجالی
و خانم ناهید قدرتی پور
@harmoniclib
Media is too big
VIEW IN TELEGRAM
▪️چرا استیون هاوکینگ برای علم مهم بود؟
گفتوگو با کامران وفا استاد فیزیک دانشگاه هاروارد
درباره استیون هاوکینگ
گفتوگو با کامران وفا استاد فیزیک دانشگاه هاروارد
درباره استیون هاوکینگ
Hardy and Littlewood
☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️
دفاعیه یک ریاضیدان
گادفری هرولد هاردی
"تعمیم ثمربخش تعمیم زیاد است که در عین حال با تخصیص مناسبی محدود شده باشد۰"
@harmoniclib
☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️
دفاعیه یک ریاضیدان
گادفری هرولد هاردی
"تعمیم ثمربخش تعمیم زیاد است که در عین حال با تخصیص مناسبی محدود شده باشد۰"
@harmoniclib
The renowned British physicist Stephen Hawking, who died today at 76, was something of a betting man, regularly entering into friendly wagers with his colleagues over key questions in theoretical physics. “I sensed when Stephen and I first met that he would enjoy being treated irreverently,” wrote John Preskill, a physicist at the California Institute of Technology, earlier today on Twitter. “So in the middle of a scientific discussion I could interject, ‘What makes you so sure of that, Mr. Know-It-All?’ knowing that Stephen would respond with his eyes twinkling: ‘Wanna bet?’”
And bet they did. In 1991, Hawking and Kip Thorne bet Preskill that information that falls into a black hole gets destroyed and can never be retrieved. Called the black hole information paradox, this prospect follows from Hawking’s landmark 1974 discovery about black holes — regions of inescapable gravity, where space-time curves steeply toward a central point known as the singularity. Hawking had shown that black holes are not truly black. Quantum uncertainty causes them to radiate a small amount of heat, dubbed “Hawking radiation.” They lose mass in the process and ultimately evaporate away. This evaporation leads to a paradox: Anything that falls into a black hole will seemingly be lost forever, violating “unitarity” — a central principle of quantum mechanics that says the present always preserves information about the past.
Hawking and Thorne argued that the radiation emitted by a black hole would be too hopelessly scrambled to retrieve any useful information about what fell into it, even in principle. Preskill bet that information somehow escapes black holes, even though physicists would presumably need a complete theory of quantum gravity to understand the mechanism behind how this could happen.
Physicists thought they resolved the paradox in 2004 with the notion of black hole complementarity. According to this proposal, information that crosses the event horizon of a black hole both reflects back out and passes inside, never to escape. Because no single observer can ever be both inside and outside the black hole’s horizon, no one can witness both situations simultaneously, and no contradiction arises. The argument was sufficient to convince Hawking to concede the bet. During a July 2004 talk in Dublin, Ireland, he presented Preskill with the eighth edition of Total Baseball: The Ultimate Baseball Encyclopedia, “from which information can be retrieved at will.”
@harmoniclib
And bet they did. In 1991, Hawking and Kip Thorne bet Preskill that information that falls into a black hole gets destroyed and can never be retrieved. Called the black hole information paradox, this prospect follows from Hawking’s landmark 1974 discovery about black holes — regions of inescapable gravity, where space-time curves steeply toward a central point known as the singularity. Hawking had shown that black holes are not truly black. Quantum uncertainty causes them to radiate a small amount of heat, dubbed “Hawking radiation.” They lose mass in the process and ultimately evaporate away. This evaporation leads to a paradox: Anything that falls into a black hole will seemingly be lost forever, violating “unitarity” — a central principle of quantum mechanics that says the present always preserves information about the past.
Hawking and Thorne argued that the radiation emitted by a black hole would be too hopelessly scrambled to retrieve any useful information about what fell into it, even in principle. Preskill bet that information somehow escapes black holes, even though physicists would presumably need a complete theory of quantum gravity to understand the mechanism behind how this could happen.
Physicists thought they resolved the paradox in 2004 with the notion of black hole complementarity. According to this proposal, information that crosses the event horizon of a black hole both reflects back out and passes inside, never to escape. Because no single observer can ever be both inside and outside the black hole’s horizon, no one can witness both situations simultaneously, and no contradiction arises. The argument was sufficient to convince Hawking to concede the bet. During a July 2004 talk in Dublin, Ireland, he presented Preskill with the eighth edition of Total Baseball: The Ultimate Baseball Encyclopedia, “from which information can be retrieved at will.”
@harmoniclib