Sentence examples for methods beginning with from inspiring English sources

When Earth, the Moon, and the Sun are considered to be point masses, this particular three-body problem is called "the main problem of the lunar theory," which has been studied extensively with a variety of methods beginning with Newton.

The first of these covers analysis methods, beginning with preprocessing, and then describing EEG spectral analysis, event-related potential analysis, source imaging and multimodal neuroimaging, and functional connectivity analysis.

We determined time windows of interest for each health outcome using survival analysis methods, beginning with the generation of Kaplan Meier plots.

A similar model (Comar, 2005) focuses on mathematical methods, beginning with a model that uses only high school algebra and culminating in models that use ordinary differential equations.

Second, we used the maxfour approach (maxfour; see [ 23] and Methods) beginning with quantile normalized and smoothed data to examine this conclusion.

Their tests of alternative methods began with a dairy-free diet.

Kubrick's unusual directing methods began with the auditions, which weren't really auditions at all.

All of these methods begin with a standard preparative method where H2WO4 is first generated by passing a Na2WO4 solution through a cation-exchange resin.

Restoration methods are presented as available tools; because adding vegetation is an effective restoration technique, the discussion of methods begins with a description of available plant materials.

Perhaps it's not surprising as their working methods began with chalk and razorblades to mark out and cut up half-inch audio tape, and jerry-rigging tone generators originally intended for acoustic testing not for music making.

Preparation of the phenyl bis-isatin and bis-oxindole (Supplementary Methods) begins with oxidation of cyclohexanedione in ethanol, with amination and aromatisation in the same reaction, followed by acylation with acetoxyacetyl chloride and ester hydrolysis to expose two hydroxyl groups.