微分流形中定义浸入(immersion)的初衷是什么？有什么直观的几何 …
2023年6月29日 · 微分流形中定义浸入 (immersion)的初衷是什么？ 有什么直观的几何含义吗？ 书上的定义用了映射的雅克比满秩，但我实在看不懂这个条件代表了啥（ 显示全部 . 关注者. 29. 被浏览. 8,328. 4 个回答. 默认排序. 三川啦啦啦. 数学等 2 个话题下的优秀答主. 谢邀 @我是可莉的狗. 73 人赞同了该回答. 浸入是弱化版本的“嵌入”，是局部的嵌入. 嵌入是 子流形 到母流形的映射 f:M\rightarrow N 中，最理想的状态：子流形和嵌入到母流形中的像同胚，即 M\approx f (M) . …
Immersion (mathematics) - Wikipedia
In mathematics, an immersion is a differentiable function between differentiable manifolds whose differential pushforward is everywhere injective. [1] . Explicitly, f : M → N is an immersion if.
Immersion Definition & Meaning - Merriam-Webster
: the act of immersing or the state of being immersed: such as. a. : absorbing involvement. immersion in politics. b. : instruction based on extensive exposure to surroundings or …
IMMERSION | English meaning - Cambridge Dictionary
2017年11月4日 · the fact of becoming completely involved in something: Total immersion in a videogame is almost like living another life. the process of learning a language or skill by using …
Language immersion - Wikipedia
Language immersion, or simply immersion, is a technique used in bilingual language education in which two languages are used for instruction in a variety of topics, including maths, science, or social studies. The languages used for instruction are referred to as the L1 and the L2 for each student, with L1 being the student's native language ...
Immersions and Minors | RIT
View our list of immersions and minors to see how you can amplify your RIT degree with a secondary area of study or explore an interest outside your major.
IMMERSION中文(繁體)翻譯：劍橋詞典 - Cambridge Dictionary
immersion noun [C or U] (INVOLVEMENT) Add to word list. the fact of becoming completely involved in something. 沉浸，專注. Total immersion in a videogame is almost like living …
Immersion - Encyclopedia of Mathematics
2020年6月5日 · Immersion. A mapping $ f: X \rightarrow Y $ of one topological space into another for which each point of $ X $ has a neighbourhood $ U $ which is homeomorphically mapped onto $ fU $ by $ f $. This concept is applied mainly to mappings of manifolds, where one often additionally requires a local flatness condition (as for a locally flat imbedding).
Section 29.3 (07RJ): Immersions—The Stacks project - Columbia …
29.3 Immersions. In this section we collect some facts on immersions. Lemma 29.3.1. Let $Z \to Y \to X$ be morphisms of schemes. If $Z \to X$ is an immersion, then $Z \to Y$ is an immersion. If $Z \to X$ is a quasi-compact immersion and $Y \to X$ is quasi-separated, then $Z \to Y$ is a quasi-compact immersion.
IMMERSION Definition & Meaning - Dictionary.com
state of being deeply engaged or involved; absorption. baptism in which the whole body of the person is submerged in the water. Also called ingress. Astronomy. the entrance of a heavenly …