Geometric analysis of nonlocal interactions and phase patterns investigates the mathematical and physical principles underlying systems in which influences extend beyond immediate contact. This ...

Islamic geometric patterns and architecture represent a profound synthesis of mathematical precision and artistic expression inherent in centuries of cultural heritage. These patterns are not merely ...

Fibonacci number patterns and triangular patterns with intrinsic defects occur frequently on nonplanar surfaces in nature, particularly in plants. By controlling the ...

A new study demonstrates that certain incised stone artifacts from the Levantine Middle Paleolithic, specifically from Manot, Qafzeh, and Quneitra caves, were deliberately engraved with geometric ...

You will need to be confident with arithmetic sequences and the 𝑛th term rule to understand these other types of sequences. A geometric sequence contains numbers that are multiplied by a certain ...

We demonstrate the flexibility and ease of use of C++ algorithmic differentiation (AD) tools based on overloading through application to numerical patterns (kernels) arising in computational finance.

This gray notebook contains patterns for geometric models of A. Harry Wheeler and his students. Most fit neatly into slots in the sheets, a few are loose. The pages have: 1. three patterns, six slots ...