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A global isometry, isometric isomorphism or congruence mapping is a bijective isometry. Like any other bijection, a global isometry has a function inverse. The inverse of a global isometry is also a global isometry. Two metric spaces X and Y are called isometric if there is a bijective isometry from X to Y.
Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available either as loose leaf paper or bound in notebooks or Graph Books. It is commonly found in mathematics and engineering education settings, exercise books, and in laboratory notebooks.
In the above definition, graphs are understood to be undirected non-labeled non-weighted graphs. However, the notion of isomorphism may be applied to all other variants of the notion of graph, by adding the requirements to preserve the corresponding additional elements of structure: arc directions, edge weights, etc., with the following exception.
Isometric projection is a method for visually representing three-dimensional objects in two dimensions in technical and engineering drawings. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and the angle between any two of them is 120 degrees.
Isometric process, a thermodynamic process at constant volume (also isovolumetric) Isometric projection (or "isometric perspective"), a method for drawing three-dimensional objects on flat paper so that a cubical grid is projected onto an equilateral triangle grid and distances aligned with the axes are depicted at uniform scale.
In mathematics, the isometry group of a metric space is the set of all bijective isometries (that is, bijective, distance-preserving maps) from the metric space onto itself, with the function composition as group operation. [1] Its identity element is the identity function. [2] The elements of the isometry group are sometimes called motions of ...
In mathematics, a metric space is a ... If there is an isometry between the spaces M 1 and M 2, they are said to be isometric. Metric spaces that are isometric are ...
Every median graph is an isometric subgraph of a hypercube, and can be formed as a retraction of a hypercube. has more than 2 2 n-2 perfect matchings. (this is another consequence that follows easily from the inductive construction.) is arc transitive and symmetric. The symmetries of hypercube graphs can be represented as signed permutations.