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analytic geometry, a subanalytic set is a set of points (for example in Euclidean space) defined in a way broader than for semianalytic sets (roughly speaking
Subanalytic_set
Subset of n-space defined by a finite sequence of polynomial equations and inequalities
semialgebraic set lies inside an algebraic subvariety of the same dimension. Łojasiewicz inequality Existential theory of the reals Subanalytic set Piecewise
Semialgebraic_set
French mathematician
stratified sets that the Chinese-Australian mathematician Tzee-Char Kuo had previously shown implied the Whitney conditions for subanalytic sets (such as
Jean-Louis_Verdier
Stratifiability condition in mathematical topology
given Whitney stratifications, such as semialgebraic sets (due to René Thom) and subanalytic sets (due to Heisuke Hironaka). This has led to their use
Whitney_conditions
Study of systems of inequalitites
implement it on a computer. 1973 Jean-Louis Verdier proved that every subanalytic set admits a stratification with condition (w). 1979 Michel Coste and Marie-Françoise
Real_algebraic_geometry
subanalytic space. (However, under mild point-set topology hypotheses, it turns out that subanalytic spaces are essentially equivalent to subanalytic
Analytic_space
Type of infinite structure
1090/S0894-0347-96-00216-0. Denef, J.; van den Dries, L. (1989). "p-adic and real subanalytic sets". Annals of Mathematics. 128 (1): 79–138. doi:10.2307/1971463. JSTOR 1971463
O-minimal_theory
Topological space that locally resembles Euclidean space
including algebraic varieties, analytic varieties, semialgebraic sets, and subanalytic sets. CW-complexes A CW complex is a topological space formed by gluing
Manifold
Inequality from distance to a zero of a real analytic function
2025. Bierstone, Edward; Milman, Pierre D. (1988), "Semianalytic and subanalytic sets", Publications Mathématiques de l'IHÉS, 67 (67): 5–42, doi:10.1007/BF02699126
Łojasiewicz_inequality
Australian mathematician (born 1945)
1575–1595. Bierstone, Edward; Milman, Pierre D. Semianalytic and subanalytic sets. Inst. Hautes Études Sci. Publ. Math. No. 67 (1988), 5–42. Allard,
Leon_Simon
selection in real time, Schottky problems, and Logic, fields, and subanalytic sets. import numpy as np from scipy.integrate import quad from scipy.optimize
Robbins'_problem
Dutch mathematician
Zbl 0759.11045. J. Denef; L. van den Dries (1988). "p-adic and real subanalytic sets". Ann. of Math. Series 2. 128 (1): 79–138. doi:10.2307/1971463. JSTOR 1971463
Lou_van_den_Dries
{A}}} is dense in C ( X , R ) {\displaystyle C(X,\mathbb {R} )} . subanalytic subanalytic. subderivative subderivative. subharmonic A twice continuously
Glossary of real and complex analysis
Glossary_of_real_and_complex_analysis
British mathematician and logician
elimination for p-adic fields from which a theory of semi-algebraic and subanalytic geometry for p-adic fields follows (in analogy with that for the real
Angus_Macintyre
SUBANALYTIC SET
SUBANALYTIC SET
Surname or Lastname
English
English : habitational name from places called Merton in London, Devon, Norfolk, and Oxfordshire, named in Old English with mere ‘lake’, ‘pool’ + tūn ‘enclosure’, ‘settlement’. Compare Marton, Martin 2.
Male
Greek
(Σήθι) Greek form of Egyptian Seti, SETHI means "of Seth."Â
Surname or Lastname
Scottish and English
Scottish and English : topographic name for someone who lived near a mill, Middle English mille, milne (Old English myl(e)n, from Latin molina, a derivative of molere ‘to grind’). It was usually in effect an occupational name for a worker at a mill or for the miller himself. The mill, whether powered by water, wind, or (occasionally) animals, was an important center in every medieval settlement; it was normally operated by an agent of the local landowner, and individual peasants were compelled to come to him to have their grain ground into flour, a proportion of the ground grain being kept by the miller by way of payment.English : from a short form of a personal name, probably female, as for example Millicent.
Surname or Lastname
English
English : habitational name from Milwich in Staffordshire, so named from Old English myln ‘mill’ + wīc ‘dairy farm’; ‘(trading) settlement’.
Surname or Lastname
English
English : habitational name from places in Cheshire and East Yorkshire, so named from Old English mylen ‘mill’ + tūn ‘enclosure’, ‘settlement’.
Surname or Lastname
English and Scottish
English and Scottish : habitational name from any of the numerous and widespread places so called. The majority of these are named with Old English middel ‘middle’ + tūn ‘enclosure’, ‘settlement’; a smaller group, with examples in Cumbria, Kent, Northamptonshire, Northumbria, Nottinghamshire, and Staffordshire, have as their first element Old English mylen ‘mill’.
Surname or Lastname
English
English : patronymic from Setter.
Surname or Lastname
English
English : occupational name for a stone- or bricklayer, from Middle English setter ‘one who lays stones or bricks in building’ (agent derivative of setten ‘to set’).English : occupational name from Old French saietier ‘silk weaver’ (an agent derivative of sayete, a kind of silk).English : from an agent derivative of Middle English setten ‘to place (decoration, on a garment or metal surface)’, probably an occupational name for an embroiderer.German : unexplained.Norwegian : unexplained.
Male
Greek
(Σήθος) Greek form of Egyptian Sutekh, possibly SETHOS means "one who dazzles." In mythology, this is the name of an ancient evil god of Chaos, storms, and the desert, who slew Osiris.Â
Surname or Lastname
English
English : habitational name from a place in Kent named Meopham, from an Old English personal name MÄ“apa + Old English hÄm ‘homestead’, ‘settlement’.
Male
Italian
Italian form of Roman Latin Septimus, SETTIMIO means "seventh."
Surname or Lastname
English
English : habitational name from a place in Shropshire, so named from Welsh mynydd ‘hill’ + Old English tūn ‘enclosure’, ‘settlement’.
Surname or Lastname
English and Irish
English and Irish : variant of Mayhew.Variant of French Mailhot.A William Mayo born in Wiltshire, England, c. 1684 was a surveyor who settled in VA about 1623 and helped survey the VA-NC boundary and found Richmond and Petersburg, VA. [newpara]The Mayo Clinic in Rochester, MN, was founded by William Worrall Mayo (1819–1911), who immigrated to the U.S. from England, in 1845, and his sons, all gifted and innovative physicians and surgeons.
Surname or Lastname
English
English : habitational name from a place in North Yorkshire, so named from Old English setl ‘seat’, ‘dwelling’.
Male
Hindi/Indian
(सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.
Surname or Lastname
English
English : topographic name for someone who lived in the center of a village, from Middle English midde ‘mid’ + toun ‘village’, ‘town’.English : habitational name from places in Lancashire, Worcestershire, and West Yorkshire, so named in Old English as ‘farmstead at a river confluence’, from (ge)m̄ðe ‘river confluence’ + tūn ‘farmstead’, ‘settlement’.
Surname or Lastname
English
English : habitational name from Mitcham in Surrey, so named from Old English micel ‘big’ + hÄm ‘homestead’, ‘settlement’.
Female
Japanese
(節å) Japanese name SETSUKO means "temperate child."
Male
English
Anglicized form of Hebrew Sheth, SETH means "buttocks." In the bible, this is the name of the third son of Adam and Eve. Compare with other forms of Seth.
Surname or Lastname
English and Scottish
English and Scottish : habitational name from any of the places so called. In over thirty instances from many different areas, the name is from Old English midel ‘middle’ + tūn ‘enclosure’, ‘settlement’. However, Middleton on the Hill near Leominster in Herefordshire appears in Domesday Book as Miceltune, the first element clearly being Old English micel ‘large’, ‘great’. Middleton Baggot and Middleton Priors in Shropshire have early spellings that suggest gem̄ðhyll (from gem̄ð ‘confluence’ + hyll ‘hill’) + tūn as the origin.A Scottish family of this name derives it from lands at Middleto(u)n near Kincardine. The Scottish physician Peter Middleton practiced in New York City after 1752 and was one of the founders of the medical school at King's College (now Columbia University) in 1767. One of the earliest of the Charleston, SC, Middleton family of prominent legislators was Arthur Middleton, born in Charleston in 1681.
SUBANALYTIC SET
SUBANALYTIC SET
Boy/Male
Italian American
Form of the Latin Marcellus meaning hammer.
Boy/Male
Indian, Sanskrit
Renowned; Famous
Boy/Male
Biblical
An ark; their curse.
Boy/Male
Muslim
Slave of one who prevents
Biblical
olive grove
Male
Finnish
Finnish name TOIVO means "hope."
Boy/Male
American, Australian, British, Celebrity, Chinese, Danish, Dutch, English, Finnish, French, German, Greek, Hebrew, Indian, Irish, Jamaican, Latin, Sindhi, Swedish, Swiss, Tamil
Form of Alexander; Helper and Defender of Mankind
Boy/Male
Muslim
Proper Name.
Boy/Male
Australian, Danish, Dutch, German, Swedish, Teutonic
Divinely Firm; God-hard; God; Brave; Hardy
Female
English
Elaborated form of English Jessa, JESSALYN means "one who beholds" or "one who looks out."
SUBANALYTIC SET
SUBANALYTIC SET
SUBANALYTIC SET
SUBANALYTIC SET
SUBANALYTIC SET
n.
The act of one who, or that which, settles; the act of establishing one's self, of colonizing, subsiding, adjusting, etc.
n.
A vessel, as a tub, in which something, as pulverized ore suspended in a liquid, is allowed to settle.
n.
A setula.
n.
That which settles, or is settled, established, or fixed.
a.
Eager in appetite or desire of gratification; affected by keen hunger; ravenous; as, an eagle or a lion sharp-set.
n.
Matter that subsides; settlings; sediment; lees; dregs.
n.
That which settles or finishes; hence, a blow, etc., which settles or decides a contest.
n.
The act of peopling, or state of being peopled; act of planting, as a colony; colonization; occupation by settlers; as, the settlement of a new country.
n.
The act or process of adjusting or determining; composure of doubts or differences; pacification; liquidation of accounts; arrangement; adjustment; as, settlement of a controversy, of accounts, etc.
n.
A colony newly established; a place or region newly settled; as, settlement in the West.
a.
Having small bristles or setae.
n.
A small, short hair or bristle; a small seta.
n.
Especially, one who establishes himself in a new region or a colony; a colonist; a planter; as, the first settlers of New England.
pl.
of Setula
n.
Fractures or dislocations caused by settlement.
n.
A settled place of abode; residence; a right growing out of residence; legal residence or establishment of a person in a particular parish or town, which entitles him to maintenance if a pauper, and subjects the parish or town to his support.
n.
That which settles at the bottom of a liquid; lees; dregs; sediment.
n.
One who settles, becomes fixed, established, etc.
n.
An instrument used to set or turn the teeth of a saw a little sidewise, that they may make a kerf somewhat wider than the thickness of the blade, to prevent friction; -- called also saw-wrest.
a.
Properly or firmly set.