Search results
Results From The WOW.Com Content Network
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.
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.
The term "isometric" comes from the Greek for "equal measure", reflecting that the scale along each axis of the projection is the same (unlike some other forms of graphical projection). An isometric view of an object can be obtained by choosing the viewing direction such that the angles between the projections of the x , y , and z axes are all ...
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 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.
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 ...
Isomap is used for computing a quasi-isometric, low-dimensional embedding of a set of high-dimensional data points. The algorithm provides a simple method for estimating the intrinsic geometry of a data manifold based on a rough estimate of each data point’s neighbors on the manifold. Isomap is highly efficient and generally applicable to a ...
They are called isometric if there is a (bijective) isometry between them. In this case, the two metric spaces are essentially identical. In this case, the two metric spaces are essentially identical.