Sentence examples for mathematical categories from inspiring English sources

In particular, the group characterized by small maxs contains the more mathematical categories (hep-th, q-fin, math-ph, stat), while the one characterized by large maxs contains the experimental and high-energy physics categories (hep-ph, physics, gr-qc, nucl-ex, astro-ph, hep-ex).

A basic mathematical category is defined.

Moving closer to mathematical practice, category theory allowed for the development of methods that have changed and continue to change the face of mathematics.

When used to characterize a specific mathematical domain, category theory reveals the frame upon which that area is built, the overall structure presiding to its stability, strength and coherence.

According to a recent Current Population Study, only 26.1% of women make up the"computer and mathematical occupations" category.

The second group (B in Figure 1), with an 88% coherence rate (2 in Figure 1), also included five elements as follows: 'students' misconceptions'designinging assignments that may construct meaningful learning', and 'connecting different mathematical topics' (PCK category, 4 in Figure 1); 'likes mathematics' (Teacher's personality category) and 'knowledge in mathematics' (CK category, 5 in Figure 1).

Those who exhibit high degrees of logical-mathematical intelligence are able to easily perceive patterns, follow series of commands, solve mathematical calculations, generate categories and classifications, and apply those skills to everyday use.

The notions of theory morphism and colimit, obtained from the mathematical theory of categories [23], has been found to be valuable for this purpose [24], [25].

In mathematical language, the category having these branes as its objects is known as the derived category of coherent sheaves on the Calabi Yau.

Through an abstraction of knowledge from the physical system, silk, to a mathematical model using category theory, we describe how the mechanism of spinning fibers from proteins can be translated into music through a process that assigns a set of rules that governs the construction of the system.

Relational biology is a discipline founded by Robert Rosen (1934 1998) [ 1- 3], based on the previous work of Nicolas Rashevsky (1899 1972), which considers biological network structures using the mathematical tools of category theory.