Sentence examples for a sequence of mathematical from inspiring English sources

Also included in the model was a sequence of mathematical equations to represent the physical properties of the tissues involved defining such things as how the heart tissue behaves when stressed.All this information was tied together in a program called CMISS, developed by researchers at the University of Auckland to create a structural framework of the heart.

Perelman proved that the "cigars" that had troubled Hamilton could not actually occur, and he showed that the "neck" problem could be solved by performing an intricate sequence of mathematical surgeries: cutting out singularities and patching up the raw edges.

Despite their diverse backgrounds, all our students are required to take a 2-year course sequence of mathematical ecology, a one-semester course on mathematical evolutionary theory, and a mathematical biology seminar that meets each Fall and Spring semester.

Let {Ω, P, Σ} be a basic probability space, Σ i-1⊂ Σ i ⊂ Σ, i ∈ Z be a sequence of Σ-algebras E be the mathematical expectation, ξ0, ξ1,... be a sequence of mutually independent random variables, ξ i ∈ R, ξ i be Σ i -adapted and independent on.

Analogously, our method reconstructs an individual subject's representational structure using a sequence of simple discrete choices (arising from mathematical integrals over the underlying structure) by explicit inversion of a model describing how responses depend on mental representations.

The term "cognitive tomography" is motivated by the isomorphism with traditional structural tomography in which a detailed high-dimensional physical structure is reconstructed from a sequence of low-dimensional measurements (derived from mathematical integrals over the underlying structure) by solving the "inverse problem" [ 16].

These iteration methods are a mathematical procedure that generates a sequence of improving approximate solutions for the inverse problems.

This basically is a nonsense phrase that helps you remember the first letter of a sequence of information (this is used a lot for mathematical formulas).

To overcome this severe mathematical difficulty, we restrict ourselves to a sequence of closed subspaces (H_^{1}) and (H_^{2}).

From there, Euclid proved a sequence of theorems that marks the beginning of number theory as a mathematical (as opposed to a numerological) enterprise.

The mathematical object that corresponds to such stable transients is a sequence of the metastable states that are connected by special trajectories named separatrices (see Fig. 1).