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Euler's Identity is a remarkable equation that comprises the five most important mathematical constants.
Increased emphasis on obligation corresponds to increased reciprocity to favors in the Repayment possible condition, but decreased reciprocity in the Repayment impossible condition; this effect is amplified as κ increases. We found that most participants had low θ values (i.e., greed), but showed...
Mathematics is the language with which God wrote the Universe.—-Galileo GalileiThere is something very mathematical about our universe. The more carefully we look at our universe, the more mathematics we seem to find. From financial modeling, weather forecasting, archetactures to electronic design,...
Introduction Theρ-meson represents together with the (in-)famousσ-meson (f0(500)) one of the most prominent meson resonances in the standard model. Theρdecays almost exclusively to two pions and the experimental phase-shift curve [1,2] is a textbook example for a relativistic Breit–Wigner...
It would be reasonable to check Shinobu‘s expedition once a day, as 20 hours is close to 24. With Sara’s 15, however, you could do a 2-1 cycle: on the first day, check right when you wake up and right before bed (as most people are awake 16 hours), and then the next day...
That’s the beauty of math: There’s always an answer for everything, even if takes years, decades, or even centuries to find it. So here are nine more brutally difficult math problems that once seemed impossible, until mathematicians found a breakthrough. PLUS: This Math Trivia Question Is...
uses a set of up to 32 previous symbols as context to predict the most probable next symbol and thus effectively assigns a probability \(p\left({t}_{N}={s}_{j}|{t}_{1}^{N-1}\right)\) for any symbol type \({s}_{j}\in \mathcal{V}\) based on the text it has already ...
Bitwise verification in Psyche is difficult (but not impossible) for several reasons. Firstly, training itself is non-deterministic because there are variations in how floating point operations are calculated. Two of the same accelerators might not produce exactly the same MatMul results given the ...
Reshetikhin, N.: The functional equation method in the theory of exactly soluble quantum systems. ZhETF 84, 1190–1201 (1983) MathSciNet Google Scholar Gaudin, M.: La fonction d’onde de Bethe. Masson (1983) Faddeev, L.: How algebraic Bethe ansatz works for integrable model. In: Re...