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Topics referred to by the same term
Cuspidal point can refer to: Cuspidal point of a curve, see Cusp (singularity) Cuspidal point of a surface, see Pinch point (mathematics) This disambiguation
Cuspidal_point
geometry, a pinch point or cuspidal point is a type of singular point on an algebraic surface. The equation for the surface near a pinch point may be put in
Pinch_point_(mathematics)
Locally spherical point on a mathematical surface
For a hyperbolic umbilic there is a single cuspidal edge which switch from one sheet to the other. A point p in a Riemannian submanifold is umbilical
Umbilical_point
Surface able to be flattened without distortion
{\displaystyle \gamma } are the helices on the cylinder, all passing the same cuspidal point where γ {\displaystyle \gamma } touches the cylinder. The polar developable
Developable_surface
Cubic plane curve
In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form y 2 − a 2 x 3 = 0 y^{2}-a^{2}x^{3}=0
Semicubical_parabola
Type of generalization of periodic functions in Euclidean space
dealing with the whole family of congruence subgroups at once. From this point of view, an automorphic form over the group G ( A F ) {\displaystyle G(\mathbb
Automorphic_form
Point on a curve where motion must move backwards
a point on a curve where a moving point must reverse direction. A typical example is given in the figure. A cusp is thus a type of singular point of
Cusp_(singularity)
Function of the coefficients of a polynomial that gives information on its roots
every point. If Δ 4 = 0 , {\displaystyle \Delta _{4}=0,} the surface has a singular point, possibly at infinity. If there is only one singular point, the
Discriminant
{\mathcal {H}}}f(z){\overline {g(z)}}y^{k}{\frac {dx\,dy}{y^{2}}}.} Cuspidality is what is required to make this integral finite. More generally, the
Cusp_form
Conjectures connecting number theory and geometry
functional equations). Langlands then generalized these to automorphic cuspidal representations, which are certain infinite dimensional irreducible representations
Langlands_program
representations in general are to be constructed by parabolic induction of cuspidal representations. A similar philosophy was enunciated by Israel Gelfand
Parabolic_induction
and the other has one line passing through it. Ridge lines correspond to cuspidal edges on the focal surface. Ridge detection Porteous, Ian R. (2001). "Ridges
Ridge_(differential_geometry)
Topics referred to by the same term
in modular form theory Cusp neighborhood, a set of points near a cusp Cuspidal representation, a generalization of cusp forms in the theory of automorphic
Cusp
Algebraic curve in projective 3-space
projection of C onto a plane from a point on a tangent line of C yields a cuspidal cubic. The projection from a point on a secant line of C yields a nodal
Twisted_cubic
Concept in algebraic geometry
A1 over k. An example of a singular (non-smooth) variety over k is the cuspidal cubic curve x2 = y3 in the affine plane A2, which is smooth outside the
Smooth_scheme
Singularities of algebraic varieties
the components of Δ {\displaystyle \Delta } are. For example: for C the cuspidal cubic curve y 2 = x 3 {\displaystyle y^{2}=x^{3}} in the affine plane A
Canonical_singularity
Mathematics of smooth surfaces
be linearly independent. In this case, S may have singularities such as cuspidal edges. Such surfaces are typically studied in singularity theory. Other
Differential geometry of surfaces
Differential_geometry_of_surfaces
the focal surface has a cuspidal edge correspondingly. Generically, through each elliptical umbilic passes three cuspidal edges; through each hyperbolic
Focal_surface
Analytic function on the upper half-plane with a certain behavior under the modular group
is called a cusp form if it satisfies the following growth condition: Cuspidal condition: For any γ ∈ SL 2 ( Z ) {\displaystyle \gamma \in {\text{SL}}_{2}(\mathbb
Modular_form
Formulas in differential geometry
{s^{3}\kappa (0)\tau (0)}{6}}\right)\mathbf {B} (0)+o(s^{3})} which is a cuspidal cubic to order o(s3). The rectifying plane is the plane containing T and
Frenet–Serret_formulas
On the reciprocity law in algebraic number fields
then Langlands reciprocity conjecture says that there exists automorphic cuspidal representation π {\displaystyle \pi } of general linear group G L ( n
Hilbert's_ninth_problem
German mathematician
200, 2024, pp. 557–608 with Olivier Dudas: Modular irreducibility of cuspidal unipotent characters , Invent. Math., Vol. 211, 2018, pp. 579–589 doi:10
Gunter_Malle
Association football club in Vicenza, Italy
coat of arms of the city of Vicenza), right palato in white and red. The cuspidal band, on a white background, bore the inscription A.C. VICENZA in red letters
LR_Vicenza
into projective space. cusp A cusp is a singular point of a curve whose tangent cone is a line. cuspidal edge The locus of the focal points of a family
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
Singularities of algebraic varieties
D is regular, whereas in this case D is irreducible and singular.) The cuspidal cubic curve D = { y 2 = x 3 } {\displaystyle D=\{y^{2}=x^{3}\}} in the
Normal_crossing_singularity
Concept in algebraic geometry
restricts to an isomorphism between dense open subsets. So, for example, the cuspidal cubic curve X in the affine plane A2 defined by x2 = y3 is not normal,
Normal_scheme
of types (ii) and (iii) are the rational cubics and are call nodal and cuspidal respectively. Curves of type (i) are the nonsingular cubics (elliptic curves)
Plücker_formula
Type of commutative ring in mathematics
regular. This ring can also be described as the coordinate ring of the cuspidal cubic curve y2 = x3 over K. The subring K[t3, t4, t5] of the polynomial
Cohen–Macaulay_ring
Representations of finite groups, particularly on vector spaces
{\displaystyle GL_{n}(\mathbf {F} _{q})} . Instead, new building blocks, known as cuspidal representations, are needed. Representations of G L n ( F q ) {\displaystyle
Representation theory of finite groups
Representation_theory_of_finite_groups
{\displaystyle G(k)_{x,0}} of a representation of this quotient that is cuspidal in the sense of Harish-Chandra (see also Deligne–Lusztig theory). The stabilizer
Moy–Prasad_filtration
resulting formula is less powerful. For example, if the functions f are cuspidal, which means that ∫ n ∈ N ( A ) f ( x n y ) d n = 0 {\displaystyle \int
Arthur–Selberg_trace_formula
British mathematician
was based on insights from his determination of the coefficients of the cuspidal Fourier expansions of the metaplectic cubic theta function. This revised
Samuel_James_Patterson
Canadian-American mathematician (1880–1972)
Dissertation: "Two Correspondences Determined by the Tangents to a Rational Cuspidal Quartic with a Line of Symmetry." A geometrical application of binary syzygies
Aubrey_E._Landry
surface in three-space will generically consist of smooth pieces of surface, cuspidal cylinder points ( A 3 {\displaystyle A_{3}} ), swallowtail points ( A 4
Affine_focal_set
CUSPIDAL POINT
CUSPIDAL POINT
Surname or Lastname
English (Devon)
English (Devon) : topographic name for someone who lived ‘at the end of the cottages’, from Middle English, Old English ende ‘end’ + cot ‘cottage’. One locality so named is Endicott in Cadbury, Devon; another is now called Youngcott, in Milton Abbot.John Endecott (1588–1665) was a prominent figure in the early history of MA, being one of the founding fathers of Salem, MA, in 1638. He served as governor of Massachusetts Bay Colony (1629–30), and worked harmoniously with his successor, John Winthrop, despite differences on points of religious doctrine. He served as governor again in 1644–45, 1649–50, 1651–54, and 1655–64, and as deputy governor in many of the intervening years. He is buried in the King’s Chapel Burying Ground in Boston.
Surname or Lastname
Irish and Scottish
Irish and Scottish : reduced form of McGee, Anglicized form of Gaelic Mac Aodha ‘son of Aodh’ (see McCoy).English : this is a common name in northern England, of uncertain origin. The existence of a patronymic form Geeson points to a personal name, but this has not been satisfactorily identified. It may in fact be the Irish or Scottish name in an English context.French (Gée) : habitational name from any of several places called Gé or Gée, for example in Maine-et-Loire, derived from the Gallo-Roman domain name Gaiacum.
Surname or Lastname
English (Devon)
English (Devon) : unexplained. It may be a variant of Gover, but early examples with a definite article, e.g. Richard le Gofiar (Somerset 1327), point to an origin as an occupational name or perhaps a nickname, from an unknown element.
Boy/Male
Tamil
Point or full stop, Rocky
Surname or Lastname
English
English : occupational name meaning ‘servant of Gay’.French : from a Germanic personal name Gaidman or Gaidmar, of which the first element is gaida ‘point (of a lance)’.German (Gaymann) : variant of Gau 1, reinforced by the addition of man ‘man’.Americanized spelling of German Gehmann (see Gehman).
Surname or Lastname
English (West Midlands)
English (West Midlands) : probably a habitational name, of uncertain origin. It may be from a lost place, so named as the ‘settlement (Old English tūn) associated with Ecgi’, a short form of the various compound names with the first element ecg ‘edge’, ‘point’ (of a weapon). Alternatively, it may be a variant of Erdington (see Edrington).
Surname or Lastname
English
English : variant spelling of Joslin.The Josselyn name appears in Black Point (now Scarborough, ME) before 1638, when the author John Josselyn came to visit his brother Henry, who was for many years a principal representative in eastern New England of the interests of the Mason and Gorges heirs, which were endangered by the Massachusetts Bay colony’s expansion into Maine. Their father was Sir Thomas Josselyn, of Torrell’s Hall in Willingale, Essex, England.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : from the medieval personal name Ponc(h)e, Pons (see Ponce).English (of Norman origin) : habitational name from Ponts in La Manche and Seine-Maritime, Normandy, from Latin pontes ‘bridges’ (see Pont).English (of Norman origin) : nickname for a fop or dandy, from points ‘laces for hose’ (see Pointer 1).
Boy/Male
Tamil
Origin, Starting point
Surname or Lastname
English
English : from a Middle English personal name, Kin, Kinna, which is a shortened form of any of various Old English names beginning with Cyne ‘royal’, for example Cynesige (see Kinsey).Dutch : nickname for someone with a pointed or jutting chin.Dutch : from Middle Dutch kinne ‘kin’.Hungarian : nickname from kÃn ‘pain’.Variant of Korean Kim.
Surname or Lastname
South German
South German : topographic name for someone who lived on a corner (either a street corner, or the corner of a valley running around a mountain), from an altered form of Eck + the suffix -er, denoting an inhabitant.Dutch and German : from a Germanic personal name composed of the elements agi ‘point (of a sword)’ + heri ‘army’.South German(Swabia) : occupational name for a farmer, from an agent derivative of eggen ‘to harrow’.English : variant of Edgar 1.
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : (of Norman origin): habitational or regional name from Old French mansel ‘inhabitant of Le Mans or the surrounding area of Maine’. The place was originally named in Latin (ad) Ceromannos, from the name of the Gaulish tribe living there, the Ceromanni. The name was reduced to Celmans and then became Le Mans as a result of the mistaken identification of the first syllable with the Old French demonstrative adjective.English (chiefly West Midlands) : status name for a particular type of feudal tenant, Anglo-Norman French mansel, one who occupied a manse (Late Latin mansa ‘dwelling’), a measure of land sufficient to support one family.English (chiefly West Midlands) : some early examples, such as Thomas filius Manselli (Northumbria 1256), point to derivation from a personal name, perhaps the Germanic derivative of Mann 2 Latinized as Manzellinus.
Surname or Lastname
English
English : of disputed origin. Reaney rejects the traditional explanation that it is a nickname derived from early modern English fitch ‘polecat’, as this word is not recorded in this form until the 16th century, whereas the byname or surname Fitchet is found as early as the 12th century. He proposes instead that the name may be from Old French fiche ‘stake’ (used as a boundary marker), but with the sense ‘iron point’, and so a metonymic occupational name for a workman who used an iron-pointed implement.The Fitches of CT, a wealthy and prominent family, were established in Norwalk, CT, before 1657 by Thomas Fitch (1612–1704). His great-grandson Thomas Fitch (c. 1700–74) was a lawyer and colonial governor of CT.
Surname or Lastname
English (Norfolk)
English (Norfolk) : occupational name from Middle English pointer ‘point maker’, an agent derivative of point, a term denoting a lace or cord used to fasten together doublet and hose (Old French pointe ‘point’, ‘sharp end’). Reaney suggests that in some cases Pointer may have been an occupational name for a tiler or slater whose job was to point the tiles, i.e. render them with mortar where they overlapped.Possibly an altered form of German Pointner, a variant of Bainter.
Surname or Lastname
English
English : variant spelling of Gadd.Danish : from a medieval nickname Gad meaning ‘sting’, ‘point’, or from the Biblical male personal name Gad.Muslim : from a personal name based on Arabic jÄd ‘serious’, ‘earnest’.
Surname or Lastname
English (Lancashire) and Scottish
English (Lancashire) and Scottish : habitational name from any of various places so called. Most, including those in Cambridgeshire (formerly Huntingdonshire), Cleveland, Derbyshire, and Shropshire, get the name from Old English hyll ‘hill’ + tūn ‘enclosure’, ‘settlement’. Others, including those in Cumbria and Dorsetshire, have early forms in Hel- and probably have as their first element Old English hielde ‘slope’ or possibly helde ‘tansy’.English : some early examples such as Ralph filius Hilton (Yorkshire 1219) point to occasional derivation from a personal name, possibly a Norman name Hildun, composed of the Germanic elements hild ‘strife’, ‘battle’ + hūn ‘bear cub’. The English surname is present in Ireland (mostly taken to Ulster in the early 17th century, though recorded earlier in Dublin).
Surname or Lastname
English (Midlands)
English (Midlands) : habitational name from Pointon in Lincolnshire, Poynton in Cheshire, or Poynton Green in Shropshire. The first is named from Old English Pohhingtūn ‘settlement (Old English tūn) associated with Pohha’, a byname apparently meaning ‘bag’; the others have as the first element the Old English personal names Pofa and Pēofa respectively.
Surname or Lastname
English
English : habitational name from any of various places named with this word: Hazleton Bottom (Hertfordshire), Hazleton Wood (Essex), or Hazelton (Gloucestershire), which is named from Old English hæsel ‘hazel’ + tūn ‘farmstead’, ‘settlement’. The present-day distribution of the surname points to the places in Essex and Gloucester as the likely sources.
Surname or Lastname
English
English : unexplained.Americanized spelling of German Eimes, a patronymic from a short form of the Germanic personal name Agimo, formed with agi ‘point (of a sword or lance)’ (Old High German ecka).
Surname or Lastname
English
English : from a Norman personal name that appears in Middle English as Geffrey and in Old French as Je(u)froi. Some authorities regard this as no more than a palatalized form of Godfrey, but early forms such as Galfridus and Gaufridus point to a first element from Germanic gala ‘to sing’ or gawi ‘region’, ‘territory’. It is possible that several originally distinct names have fallen together in the same form.
CUSPIDAL POINT
CUSPIDAL POINT
Girl/Female
Indian, Tamil
Red Eyed
Boy/Male
Indian
Evil spirit.
Girl/Female
Indian
A line, Row of swans
Girl/Female
Tamil
Harithra | ஹரீதà¯à®°à®¾Â
History
Boy/Male
Muslim
Hawk, Messenger, Herald
Surname or Lastname
English
English : habitational name from a place in Middlesex named with the Old English personal name Ēana or Old English ēan ‘lamb’ + feld ‘open field’.
Girl/Female
Indian
Caesar
Surname or Lastname
English
English : variant of Hiles.
Boy/Male
Tamil
Respectable Man, Intelligent
Boy/Male
Hindu
CUSPIDAL POINT
CUSPIDAL POINT
CUSPIDAL POINT
CUSPIDAL POINT
CUSPIDAL POINT
a.
Having three acute or setigerous points; tricuspidate.
a.
Ending in a point.
a.
Alt. of Cuspidated
n.
A breathing hole; a vent or ventiduct.
n.
One of the canine teeth; -- so called from having but one point or cusp on the crown. See Tooth.
a.
Cuboid.
a.
Having a sharp end, like the point of a spear; terminating in a hard point; as, a cuspidate leaf.
a.
Pointed as needles.
n.
Any ornamental vessel used as a spittoon; hence, to avoid the common term, a spittoon of any sort.
n.
A spitbox; a cuspidor.
a.
Having a small, distinct point; apiculate.
n.
Epithelial mesoderm; a layer of cuboidal epithelium cells, formed from a portion of the mesoderm during the differetiation of the germ layers. It constitutes the boundary of the c/lum.
n.
One of the two double-pointed teeth which intervene between the canines (cuspids) and the molars, on each side of each jaw. See Tooth, n.
n.
A spring of water passing under ground toward a cistern or conduit.
v. t.
To make pointed or sharp.
n.
any one of five points in the plane of a system of two large astronomical bodies orbiting each other, as the Earth-moon system, where the gravitational pull of the two bodies on an object are approximately equal, and in opposite directions. A solid object moving in the same velocity and direction as such a libration point will remain in gravitational equilibrium with the two bodies of the system and not fall toward either body.
adv.
Without point.
n.
A man who has charge of railroad points or switches.
a.
Having no point; blunt; wanting keenness; obtuse; as, a pointless sword; a pointless remark.