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Meaning of "differentiability" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF DIFFERENTIABILITY

differentiability  [ˌdɪfəˌrɛnʃɪəˈbɪlɪtɪ] play
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GRAMMATICAL CATEGORY OF DIFFERENTIABILITY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Differentiability is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES DIFFERENTIABILITY MEAN IN ENGLISH?

Differentiable function

In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain. As a result, the graph of a differentiable function must have a non-vertical tangent line at each point in its domain, be relatively smooth, and cannot contain any breaks, bends, or cusps. More generally, if x0 is a point in the domain of a function f, then f is said to be differentiable at x0 if the derivative f′(x0) exists. This means that the graph of f has a non-vertical tangent line at the point (x0, f(x0)). The function f may also be called locally linear at x0, as it can be well approximated by a linear function near this point.

Definition of differentiability in the English dictionary

The definition of differentiability in the dictionary is capability of being differentiated.

WORDS THAT RHYME WITH DIFFERENTIABILITY


ability
əˈbɪlɪtɪ
accessibility
əkˌsɛsɪˈbɪlɪtɪ
accountability
əˌkaʊntəˈbɪlɪtɪ
availability
əˌveɪləˈbɪlɪtɪ
capability
ˌkeɪpəˈbɪlɪtɪ
compatibility
kəmˌpætɪˈbɪlɪtɪ
disability
ˌdɪsəˈbɪlɪtɪ
durability
ˌdjʊərəˈbɪlɪtɪ
eligibility
ˌɛlɪdʒɪˈbɪlɪtɪ
flexibility
ˌflɛksɪˈbɪlɪtɪ
inability
ˌɪnəˈbɪlɪtɪ
liability
ˌlaɪəˈbɪlɪtɪ
mobility
məʊˈbɪlɪtɪ
nobility
nəʊˈbɪlɪtɪ
possibility
ˌpɒsɪˈbɪlɪtɪ
probability
ˌprɒbəˈbɪlɪtɪ
reliability
rɪˌlaɪəˈbɪlɪtɪ
responsibility
rɪˌspɒnsəˈbɪlɪtɪ
stability
stəˈbɪlɪtɪ
visibility
ˌvɪzɪˈbɪlɪtɪ

WORDS THAT BEGIN LIKE DIFFERENTIABILITY

different
differentia
differentiable
differentiae
differential
differential calculus
differential coefficient
differential equation
differential gear
differential geometry
differential housing
differential operator
differential pricing
differential tone
differential windlass
differentially
differentiate
differentiation
differentiator
differently

WORDS THAT END LIKE DIFFERENTIABILITY

agility
credibility
facility
feasibility
fertility
functionality
hostility
humility
inevitability
instability
merchantability
profitability
suitability
susceptibility
sustainability
tranquility
usability
utility
variability
versatility
vulnerability

Synonyms and antonyms of differentiability in the English dictionary of synonyms

SYNONYMS

Translation of «differentiability» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF DIFFERENTIABILITY

Find out the translation of differentiability to 25 languages with our English multilingual translator.
The translations of differentiability from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «differentiability» in English.

Translator English - Chinese

可微性
1,325 millions of speakers

Translator English - Spanish

diferenciabilidad
570 millions of speakers

English

differentiability
510 millions of speakers

Translator English - Hindi

differentiability
380 millions of speakers
ar

Translator English - Arabic

التفاضل
280 millions of speakers

Translator English - Russian

дифференцируемость
278 millions of speakers

Translator English - Portuguese

diferenciabilidade
270 millions of speakers

Translator English - Bengali

differentiability
260 millions of speakers

Translator English - French

différentiabilité
220 millions of speakers

Translator English - Malay

Kebergantungan
190 millions of speakers

Translator English - German

Differenzierbarkeit
180 millions of speakers

Translator English - Japanese

微分可能性
130 millions of speakers

Translator English - Korean

differentiability
85 millions of speakers

Translator English - Javanese

Differentiability
85 millions of speakers
vi

Translator English - Vietnamese

differentiability
80 millions of speakers

Translator English - Tamil

வகைமை
75 millions of speakers

Translator English - Marathi

भिन्नता
75 millions of speakers

Translator English - Turkish

diferansiyellenebilirlik
70 millions of speakers

Translator English - Italian

differenziabilità
65 millions of speakers

Translator English - Polish

różniczkowalność
50 millions of speakers

Translator English - Ukrainian

дифференцируемость
40 millions of speakers

Translator English - Romanian

diferențiabilității
30 millions of speakers
el

Translator English - Greek

differentiability
15 millions of speakers
af

Translator English - Afrikaans

differensieerbaarheid
14 millions of speakers
sv

Translator English - Swedish

differentierbarhet
10 millions of speakers
no

Translator English - Norwegian

deriverbarhet
5 millions of speakers

Trends of use of differentiability

TRENDS

TENDENCIES OF USE OF THE TERM «DIFFERENTIABILITY»

The term «differentiability» is regularly used and occupies the 71.684 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
67
/100
The map shown above gives the frequency of use of the term «differentiability» in the different countries.
Principal search tendencies and common uses of differentiability
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «differentiability».

FREQUENCY OF USE OF THE TERM «DIFFERENTIABILITY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «differentiability» during the past 500 years. Its implementation is based on analysing how often the term «differentiability» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about differentiability

EXAMPLES

10 ENGLISH BOOKS RELATING TO «DIFFERENTIABILITY»

Discover the use of differentiability in the following bibliographical selection. Books relating to differentiability and brief extracts from same to provide context of its use in English literature.
1
Singular Integrals and Differentiability Properties of Functions
In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years.
Elias M. Stein, 1970
2
Frechet Differentiability of Lipschitz Functions and Porous ...
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces.
Joram Lindenstrauss, David Preiss, Jaroslav Ti er, 2012
3
Convex Functions, Monotone Operators and Differentiability
In the three and a half years since the first edition to these notes was written there has been progress on a number of relevant topics.
Robert R. Phelps, 1993
4
Gteaux Differentiability of Convex Functions and Topology: ...
This text puts together "folklore results" touching weak Asplund spaces.
Marián J. Fabian, 1997
5
Differentiability of Six Operators on Nonsmooth Functions ...
Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.
Richard M. Dudley, Rimas Norvaiša, 1999
6
Higher Order Global Differentiability Local Approximations ...
Numerical studies are presented to illustrate the behavior and performance of the approximations developed.
Rajesh Kumar Maduri, 2008
7
Quasidifferentiability and Related Topics
L. Minchenko, A. Volosevich Belarusian State University of Informatics and Radioelectronics, Minsk , Belarus Abstract: This paper deals with strong differentiability of multifunctions. We prove the directional differentiability of marginal functions ...
Vladimir F. Demyanov, Alexander M. Rubinov, 2000
8
Cartesian Currents in the Calculus of Variations I: ...
In this section we shall investigate pointwise differentiability properties of functions in Sobolev spaces. Let Q be a domain in R", and let p be a real number in [1, oo). The Sobolev space WliP(fl, R), simply WX'P{Q), we recall, can be defined as ...
Mariano Giaquinta, Giuseppe Modica, Jiri Soucek, 1998
9
Introduction to the Analysis of Normed Linear Spaces
In 1933, Mazur showed that a comparable Gateaux differentiability property holds for every continuous convex function on an open convex subset of a separable Banach space. The examination of such differentiability properties for continuous  ...
J. R. Giles, 2000
10
A Generalized Taylor's Formula for Functions of Several ...
In Chapter 1, Biased Differentiability and its Taylor's Formula, the notion of the differentiability class Cm is extended to that of class Cp, where p now stands for an n-tuple whose components are positive real numbers. This makes sense, since ...
J A Riestra, 1995

10 NEWS ITEMS WHICH INCLUDE THE TERM «DIFFERENTIABILITY»

Find out what the national and international press are talking about and how the term differentiability is used in the context of the following news items.
1
Regression vs. Curve Fitting – Technical Diversity in Data Science …
Choice of “sum of squares” as a cost function is justified since it possesses “nice” mathematical properties like differentiability and convexity that ... «icrunchdata News, Jun 15»
2
Idealab's Bill Gross reveals the single biggest reason why startups …
Team and execution came in second, and the idea, the differentiability of the idea, the uniqueness of the idea, that actually came in third,” he ... «e27, Jun 15»
3
CBSE Class 12 Board Mathematics Exam 2015: Important tips and …
... Integration, CHOICE – Probability, Inverse trigonometry functions – CHOICE – Inverse trigonometry functions, Continuity & Differentiability. «PrepSure, Mar 15»
4
Finding the simple patterns in a complex world
"There are terrific advances to be made by breaking loose from the thrall of continuity and differentiability," Professor Barnsley said. "The body ... «Phys.Org, Dec 14»
5
Latest Issue of The Journal of Risk (16.6)
... with required mathematical characteristics - such as continuity, positive homogeneity or Gâteaux differentiability - of the related risk measure. «Risk.net, Aug 14»
6
Countdown JEE
Calculus – starting from differentiability, integral calculus and differential equations has remained the single largest test area. These topics ... «The Hindu, Mar 14»
7
Blackberry's Woes and Lessons for Value Migration
Vertical integration isn't the solution, but rather to keep control by managing differentiability -- in other words, by being the actor along the value ... «Huffington Post, Aug 13»
8
Today's Apps Gone Free: Posts, Dots, McBank And More
Topics include limits, arc length, differentiability, partial derivatives, chain rule, fluid problems, theorems, integral tables, and much more. «AppAdvice, May 13»
9
Workshop on Undergraduate Algebra, Analysis and its
o Real Analysis: The Real Number System, Limits and continuity of a real valued function, Differentiability of a real valued function, Sequences ... «E-Pao.net, Mar 13»
10
Saussure – Understanding the Linguistic Value of Language Signs
To determine their uniqueness and differentiability all signs in a language are related negatively to other sounds around them, but signs in the ... «Decoded Science, Nov 12»

REFERENCE
« EDUCALINGO. Differentiability [online]. Available <https://educalingo.com/en/dic-en/differentiability>. Apr 2024 ».
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