ここで、経路に沿った正則関数の解析接続を考えます。解析接続は、正則関数の芽の層の概念を使うと、最も容易かつ便利に定式化できます。したがって、次に正則関数の芽とは何かを説明 ...

Abstract: The optimal power flow (OPF) problem of active distribution network (ADN) is a stochastic, nonconvex, and nonlinear problem. Although several algorithms have been presented to solve this ...

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Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

$${X}$$ をBancah空間、$${Y}$$を線形ノルム空間とする。 $${\mathfrak{F}}$$を$${\text{X}}$$から$${\text{Y}}$$ への有界線形写像の族とする。 このとき、つぎの(1)(2)のいずれか一方が成立する。 （1）ある ...

As a person with a chronic illness, I'm no stranger to bloodwork. I used to pore over my lab results, googling the various meanings, and trying not to panic when a test fell out of range. Function ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

Every keyboard has a set of Function Keys F1-F12 on the top row; however, the old computer sets used to have these keys gathered on the left side of the keyboard. While every function key caters ...

We propose a mechanism enabling the appearance of border cells—neurons firing at the boundaries of the navigated enclosures. The approach is based on the recent discovery of discrete complex analysis ...