Search results
Results From The WOW.Com Content Network
In metric spaces, both of these definitions make sense and they are equivalent. This is a general pattern for topological properties of metric spaces: while they can be defined in a purely topological way, there is often a way that uses the metric which is easier to state or more familiar from real analysis.
In mathematics, metric may refer to one of two related, but distinct concepts: A function which measures distance between two points in a metric space A metric tensor , in differential geometry, which allows defining lengths of curves, angles, and distances in a manifold
An example of scansion over a quote from Alexander Pope. Scansion (/ ˈ s k æ n. ʃ ə n / SKAN-shən, rhymes with mansion; verb: to scan), or a system of scansion, is the method or practice of determining and (usually) graphically representing the metrical pattern of a line of verse.
Below listed are the names given to the poetic feet by classical metrics. The feet are classified first by the number of syllables in the foot (disyllables have two, trisyllables three, and tetrasyllables four) and secondarily by the pattern of vowel lengths (in classical languages) or syllable stresses (in English poetry) which they comprise.
The definition of base units has increasingly been realised in terms of fundamental natural phenomena, in preference to copies of physical artefacts. A unit derived from the base units is used for expressing quantities of dimensions that can be derived from the base dimensions of the system—e.g., the square metre is the derived unit for area ...
In mathematics, a structure on a set (or on some sets) refers to providing it (or them) with certain additional features (e.g. an operation, relation, metric, or topology). Τhe additional features are attached or related to the set (or to the sets), so as to provide it (or them) with some additional meaning or significance.
In mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. [1]
A metrical foot (aka poetic foot) is the basic repeating rhythmic unit that forms part of a line of verse in most Indo-European traditions of poetry.. In some metres (such as the iambic trimeter) the lines are divided into double feet, called metra (singular: metron).