- (math.) distance-preserving
- isometric
Generated definitions (experimental)
- distance-preserving
- isometric
This term refers to a mathematical property in which the distance between points is maintained under a certain transformation or mapping. It is often used in geometry and related fields to describe transformations that do not alter the spatial relationships between points.
This transformation is distance-preserving, so the distance between points remains unchanged.
zài在jǐ hé xué几何学Zhōng中,bǎo cháng保长de的xìng zhì性质duì yú对于bǎo chí保持xíng zhuàng形状fēi cháng非常zhòng yào重要。
In geometry, the property of being distance-preserving is crucial for maintaining shapes.
This meaning is typically used in the context of isometries, which are transformations that preserve distances. In mathematics, when studying spaces, isometric mappings are important as they allow for analysis without changing the structure of the original space.
This function is an isometric mapping, preserving the distance between all points.
Studying isometric transformations helps understand the properties of spaces.
Generated collocations (experimental)
bǎo cháng保长biàn huàn变换isometric transformationbǎo cháng保长qiàn rù嵌入isometric embeddingbǎo cháng保长yìng shè映射isometric mappingbǎo cháng保长hán shù函数isometric functionbǎo cháng保长kōng jiān空间isometric spacebǎo cháng保长dù liàng度量isometric metricbǎo cháng保长shǔ xìng属性isometric property