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Optimal Quadrature Formulas for Curvilinear Integrals of the First Kind

Siberian Advances in Mathematics
V. L. Vaskevich, I. M. Turgunov
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Axiomatic method of measure and integration. IX: Definition of curvilinear R-integral and its fundamental properties

Summary: In this paper, we define the concept of the length of a plane curve \(C\). Then we define the measure space \((C,\mathcal{B}_C,\nu)\) as the image measure space on the curve \(C\) of the Jordan measure space \((I,\mathcal{B},\mu)\) on the interval \(I\). These measure spaces are the measure spaces of Jordan type.
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Integrated Re-Fragmentation and Curve Correction for Curvilinear Optical Proximity Correction

2026 31st Asia and South Pacific Design Automation Conference (ASP-DAC)
Seohyun Kim   +3 more
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