Wondering how to use Fréchet in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning .
Fréchet meaning
A surname from French
Using Fréchet
- The main meaning on this page is: A surname from French
- In the example corpus, fréchet often appears in combinations such as: the fréchet, fréchet derivative, fréchet filter.
Context around Fréchet
- Average sentence length in these examples: 17.7 words
- Position in the sentence: 4 start, 10 middle, 5 end
- Sentence types: 19 statements, 0 questions, 0 exclamations
Corpus analysis for Fréchet
- In this selection, "fréchet" usually appears in the middle of the sentence. The average example has 17.7 words, and this corpus slice is mostly made up of statements.
- Around the word, regular, nuclear, dimensional, derivative, filter and space stand out and add context to how "fréchet" is used.
- Recognizable usage signals include 1906 by fréchet under the and any nuclear fréchet space has. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "fréchet" sits close to words such as abad, abovementioned and abr, which helps place it inside the broader word index.
Example types with fréchet
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
See, for instance, the Fréchet derivative article. (7 words)
A locally convex F-space is a Fréchet space. (9 words)
Fréchet differentiability is a stronger condition than Gâteaux differentiability. (9 words)
The number of mismatches between X and Y (1/100) plus the number of mismatches between Y and Z (1/100) are together the maximum possible number of mismatches between X and Z (a simple Boole–Fréchet inequality ). (38 words)
Any family of sets that satisfies (2–4) is called a filter (an example: the complements to the finite sets, it is called the Fréchet filter and it is used in the usual limit theory). (35 words)
The quasi-derivative is another generalization of directional derivative that implies a stronger condition than Gâteaux differentiability, but a weaker condition than Fréchet differentiability. (24 words)
Example sentences (19)
A filter on S is free if and only if it contains the Fréchet filter.
A locally convex F-space is a Fréchet space.
Also known as Type 1 Fréchet Law : when the distribution of has a heavy tail (including polynomial decay).
Any family of sets that satisfies (2–4) is called a filter (an example: the complements to the finite sets, it is called the Fréchet filter and it is used in the usual limit theory).
Diffeomorphism groups of compact manifolds of larger dimension are regular Fréchet Lie groups ; very little about their structure is known.
Fréchet differentiability is a stronger condition than Gâteaux differentiability.
Historically, the theorem is often attributed simultaneously to Riesz and Fréchet in 1907 (see references).
More generally, any nuclear Fréchet space has the Heine–Borel property.
More generally, functional analysis includes the study of Fréchet spaces and other topological vector spaces not endowed with a norm.
One needs the Fréchet derivative to be boundedly invertible at each in order for the method to be applicable.
On the other hand, some infinite-dimensional Fréchet spaces do have the Heine–Borel property.
See, for instance, the Fréchet derivative article.
See the articles on the Fréchet derivative and the Gâteaux derivative for details.
The Fréchet derivative allows for an extension of the concept of a directional derivative to Banach spaces.
The number of mismatches between X and Y (1/100) plus the number of mismatches between Y and Z (1/100) are together the maximum possible number of mismatches between X and Z (a simple Boole–Fréchet inequality ).
The quasi-derivative is another generalization of directional derivative that implies a stronger condition than Gâteaux differentiability, but a weaker condition than Fréchet differentiability.
The theory of nonlinear functionals was continued by students of Hadamard, in particular Fréchet and Lévy.
They were introduced in 1906 by Fréchet under the name "classes (E)".
Unlike many other means, the Fréchet mean is defined on a space whose elements cannot necessarily be added together or multiplied by scalars.
Common combinations with fréchet
These word pairs occur most frequently in English texts: