For example, it could be interesting for composers who wish to use predefined musical patterns in ChucK as building blocks for complex compositions, without limiting the ability of doing algorithmic transformations, and combining the patterns using mathematical rules or whatever.
No technical background is required beyond standard high school algebra and geometry; instead, we will emphasize how to discover and analyze patterns using mathematical reasoning.
Our assessment systematically defines an analytical solution for the complete interpretation of a generic moire pattern and a set of mathematical approximations for the moire patterns used to measure rotation and displacement.
Kane's innovation was to apply mathematical analysis to the accordion-like fold patterns used in bellows to discover the most efficient pattern possible.
Here, I focus on a tube pattern formation during murine epididymal development, and show that two factors influencing physical design for the patterning, the proliferative zone within the tubule and the viscosity of tissues surrounding to the tubule, control the reproducibility of epididymal tubule pattern, using a mathematical model based on experimental data.
This variability prevented a simple prediction of the starch accumulation profile, so it was attractive to integrate the combined effect of all gene expression profiles on the diurnal starch pattern, using a mathematical model.
Japanese children are thought to develop a working knowledge of basic mathematical patterns early on, thanks to the use in primary school classrooms of the soroban, a type of abacus based on the Chinese suanpan.
Co-author Cesar Hidalgo said that the data follow a natural mathematical pattern that could be used as an analytical guide as more location services and high-resolution data become available.
From developing multiple strategies for solving complex mathematical problems to using patterns and algebraic reasoning for making predictions, CTY math courses allow students to build a strong foundation to enrich their studies in mathematics.
Autonomy uses pattern-matching techniques (as developed for neural networks) to find texts with similar mathematical patterns.
