the Fabius function is an example of an infinitely differentiable function that is nowhere analytic, found by Jaap Fabius (1966). This function satisfies...

Taylor series; the Fabius function provides an example of a function that is infinitely differentiable but not analytic. Formally, a function f {\displaystyle...

infinitely many times in every neighbourhood of the origin. Bump function Fabius function Flat function Mollifier Exercise 12 on page 418 in Walter Rudin, Real...

the Fabius function. Although it might seem that such functions are the exception rather than the rule, it turns out that the analytic functions are scattered...

dense but has positive measure. The Fabius function is everywhere smooth but nowhere analytic. Volterra's function is differentiable with bounded derivative...

1986. Fabius was 37 years old when he was appointed and is, after Gabriel Attal, the second youngest prime minister of the Fifth Republic. Fabius was also...

1\end{cases}}} with F ( t ) {\displaystyle F(t)} the Fabius function, known as Rvachëv up function. Dynamics of diabetes Epidemiology Population dynamics...

the consecutive criterion can be evaded forever. Dejean's theorem Fabius function First difference of the Thue–Morse sequence Gray code Komornik–Loreti...

Marcus Fabius Quintilianus (Latin: [kᶣiːn.tɪ.li.ˈaː.nʊs]; c. 35 – c. 100 AD) was a Roman educator and rhetorician born in Hispania, widely referred to...

confirms the hypothesis of seafloor spreading at mid-ocean ridges. The Fabius function is published. Chen Jingrun publishes Chen's theorem: every sufficiently...

Fabius Ambustus was a name used by ancient Roman men from a branch of the gens Fabia, including: Quintus Fabius Ambustus, consul 412 BC; son of Quintus...

Quintus Fabius Maximus Verrucosus, demanded Carthage choose between war and peace, to which his audience replied that Rome could choose. Fabius chose war...

Jewish Women's Studies & Gender Issues. Oktober 2008 16(16):174–195 Fabius Schach, Todesfallanzeige Ghetto Theresienstadt Fabius Schach, bei holocaust.cz...

Quintus Fabius Maximus Verrucosus instead of Titus Manlius Torquatus, the senior ex-censor. Tuditanus justified his choice by saying that Fabius was the...

Ceres (University of Texas Press, 1996), p. 36. Servius cites the historian Fabius Pictor (late 3rd century BC) as his source. Michael Lipka, Roman Gods: A...

might have to accept the yoke. A meeting of the senate was convened by Q. Fabius, the prefect of the city. He made such a violent attack upon the proposed...

including opposition from Quintus Fabius Maximus, a rival of Flaminius, although Cicero notes that Spurius Carvilius, Fabius Maximus' colleague for his second...

panicked by these heavy defeats, appointed Fabius Maximus as dictator, with sole charge of the war effort. Fabius introduced the Fabian strategy of avoiding...

guerrilla-style tactics in The Art of War. The 3rd century BC Roman general Quintus Fabius Maximus Verrucosus is also credited with inventing many of the tactics of...

victories credited to Gaius Poetelius Libo Visolus to "Κόιντος Φάβιος" (Quintus Fabius) instead. The fasti consulares list Gaius Sulpicius Longus as the dictator...

as Fabius did most patiently when warring against Hannibal, though many censured his delays; but when the time comes you must strike hard, as Fabius did...

between 26 and 22 BC. Iuppiter Victor had a temple dedicated by Quintus Fabius Maximus Gurges during the third Samnite War in 295 BC. It was probably on...

perhaps except in cases with a non-consular nominator. In the case of Quintus Fabius Maximus Verrucosus, the people may have created him dictator directly by...

the Romans' own gods remain obscure, known only by name and sometimes function, through inscriptions and texts that are often fragmentary. This is particularly...

name, such as Forum Popili or Forum Livi. In addition to its standard function as a marketplace, a forum was a gathering place of great social significance...

was then borrowed into Late Latin, occurring in the title of Latin author Fabius Planciades Fulgentius' 5th-century Mythologiæ to denote what is now referred...

uses the Arabic acronym Dāʻish or Daesh. France's Foreign Minister Laurent Fabius said: "This is a terrorist group and not a state. I do not recommend using...

friend Nicomachus Flavianus Quintus Fabius Memmius Symmachus, aristocrat Symmachi–Nicomachi diptych Quintus Fabius Memmius Symmachus, his son, who edited...

prohibition does not seem to have been strictly observed. In theory, each gens functioned as a state within a state, governed by its own elders and assemblies,...

(12.3.1) inserts a new pair of consuls, L. Quinctius Cincinnatus and M. Fabius Vibulanus, between the colleges of 457 and 456. Taylor 1951, pp. 74, 78...