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A space consists of selected mathematical objects that are treated as points, and selected relationships between these points. The nature of the points can vary widely: for example, the points can represent numbers, functions on another space, or subspaces of another space. It is the relationships that define the nature of the space.
The normal subacromial space in shoulder radiographs is 9–10 mm; this space is significantly greater in men, with a slight reduction with age. [2] In middle age, a subacromial space less than 6 mm is pathological, and may indicate a rupture of the tendon of the supraspinatus muscle. [2] The axillary space is an anatomic space between the ...
A metrizable space is an AR if and only if it is contractible and an ANR. [7] By Dugundji, every locally convex metrizable topological vector space is an AR; more generally, every nonempty convex subset of such a vector space is an AR. [8] For example, any normed vector space (complete or not) is an AR.
Shoulder impingement syndrome is a syndrome involving tendonitis (inflammation of tendons) of the rotator cuff muscles as they pass through the subacromial space, the passage beneath the acromion. It is particularly associated with tendonitis of the supraspinatus muscle. [1] This can result in pain, weakness, and loss of movement at the ...
The subacromial bursa is the synovial cavity located just below the acromion, which communicates with the subdeltoid bursa in most individuals, ...
A flat can be described by a system of linear equations.For example, a line in two-dimensional space can be described by a single linear equation involving x and y: + = In three-dimensional space, a single linear equation involving x, y, and z defines a plane, while a pair of linear equations can be used to describe a line.
Because they satisfy a quadratic constraint, they establish a one-to-one correspondence between the 4-dimensional space of lines in and points on a quadric in (projective 5-space). A predecessor and special case of Grassmann coordinates (which describe k -dimensional linear subspaces, or flats , in an n -dimensional Euclidean ...
The original space is in blue, and the collapsed end points are in green. In topology, a branch of mathematics, the suspension of a topological space X is intuitively obtained by stretching X into a cylinder and then collapsing both end faces to points. One views X as "suspended" between these end points.