I learned to distrust all physical concepts as the basis for a theory. Instead one should put one's trust in a mathematical scheme, even if the scheme does not appear at first sight to be connected with physics. One should concentrate on getting interesting mathematics.
~ Paul Dirac
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~ Paul Dirac
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نموداری از روشِ پیشنهادی از سوی ابوريحان بیرونی برای برآوردِ شعاع و دورادورِ زمین
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📡 @infinitymath
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No mathematician can be a complete mathematician unless he is also something of a poet.
~Karl Weierstrass
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~Karl Weierstrass
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We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
~W. K. Clifford Common Sense in the Exact Sciences
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~W. K. Clifford Common Sense in the Exact Sciences
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The friendship paradox is the observation that your friends, on average, have more friends than you do. This phenomenon, which was first observed by the sociologist Scott L. Feld in 1991, is mathematically provable, even though it contradicts most people's intuition that they have more friends than their friends do.
The recent paper The Majority Illusion in Social Networks (http://arxiv.org/abs/1506.03022) by Kristina Lerman, Xiaoran Yan, and Xin-Zeng Wu explores some phenomena that are related to the friendship paradox. The authors explain how, under certain conditions, the structure of a social network can make it appear to an individual that certain types of behaviour are far more common than they actually are.
@infinitymath
The recent paper The Majority Illusion in Social Networks (http://arxiv.org/abs/1506.03022) by Kristina Lerman, Xiaoran Yan, and Xin-Zeng Wu explores some phenomena that are related to the friendship paradox. The authors explain how, under certain conditions, the structure of a social network can make it appear to an individual that certain types of behaviour are far more common than they actually are.
@infinitymath
If you open a mathematics paper at random, on the pair of pages before you, you will find a mistake.
~Joseph Doob
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~Joseph Doob
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Forwarded from دستیار زیر نویس و هایپر لینک
آرتور آویلا (به پرتغالی برزیل:Artur Ávila Cordeiro de Melo) ریاضیدان فرانسوی برزیلیتبار است. زمینهٔ تخصصی وی نظریه طیفی و سیستم پویا است. او در سال ۲۰۱۴ همراه مریم میرزاخانی و دو ریاضیدان دیگر برندهٔ جایزه فیلدز شد.
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@infinitymath