Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn ...

Abstract: In this paper, a rough set describes method for real functions continuous theorem (the monotone convergence theorem, the Bollzano-Weierstrass theorem, and the nested interval theorem) is ...

The concept of continuity in mathematics, particularly in the realm of functions, is fundamental. It speaks to the unbroken nature of a function's graph, allowing us to trace it without lifting our ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

(1) J´anos Pintz, Supported by the National Research Development and Innovation Office, NKFIH, KKP 133819, ELKH Alfr´ed R´enyi Mathematical Institute H-1053 Budapest Realtanoda u. 13–15. Hungary and e ...

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Quantum annealing (QA) can be competitive to classical algorithms in optimizing continuous-variable functions when running on appropriate hardware, show researchers from Tokyo Tech. By comparing the ...

Background: Current research suggests that continuous aerobic exercise can be effective in improving vascular endothelial function, while the effect between different intensities and durations of ...

Introduction: Soybean continuous cropping will change soil microorganisms and cause continuous cropping obstacles, resulting in a significant yield decline. Different soybean cultivars have different ...

I'm opening this issue to discuss an idea from #2 to try to use the implicit function theorem to define the inverse and jacobian of general bijections, in order to have a general way of defining ...