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MURASUGI SUM

  • Murasugi sum
  • In knot theory, a Murasugi sum is a way of combining the Seifert surfaces of two knots or links, given with embeddings in space of each knot and of a Seifert

    Murasugi sum

    Murasugi_sum

  • Seifert surface
  • Orientable surface whose boundary is a knot or link

    topologically or smoothly in the 4-ball. Crosscap number Arf invariant of a knot Murasugi sum Slice genus Seifert, H. (1934). "Über das Geschlecht von Knoten". Math

    Seifert surface

    Seifert surface

    Seifert_surface

  • Knot operation
  • Reidemeister moves (I. twist move, II. poke move, and III. slide move). Knot sum Murasugi sum Mutation (knot theory) Weisstein, Eric W. "Knot Move". MathWorld. v

    Knot operation

    Knot_operation

  • Tait conjectures
  • invariant of the knot. This conjecture was proved by Louis Kauffman, Kunio Murasugi (村杉 邦男), and Morwen Thistlethwaite in 1987, using the Jones polynomial

    Tait conjectures

    Tait_conjectures

  • Arf invariant of a knot
  • Knot invariant named after Cahit Arf

    +c_{r}} modulo 2, where r = 0 for n odd, and r = 1 for n even. Kunio Murasugi proved that the Arf invariant is zero if and only if Δ(−1) ≡ ±1 modulo

    Arf invariant of a knot

    Arf_invariant_of_a_knot

  • Jones polynomial
  • Mathematical invariant of a knot or link

    distinct knots having the same Jones polynomial can be found in the book by Murasugi. For a positive integer N {\displaystyle N} , the N {\displaystyle N} -colored

    Jones polynomial

    Jones_polynomial

  • Torus knot
  • Knot which lies on the surface of a torus in 3-dimensional space

    Mathematical Association of America. p. [page needed]. ISBN 0-88385-027-3. Murasugi, Kunio (1996). Knot Theory and its Applications. Birkhäuser. p. [page needed]

    Torus knot

    Torus knot

    Torus_knot

  • Invertible knot
  • Topology, 2 (4): 275–280, doi:10.1016/0040-9383(63)90011-9, MR 0158395. Murasugi, Kunio (2007), Knot Theory and Its Applications, Springer, p. 45, ISBN 9780817647186

    Invertible knot

    Invertible_knot

  • Alternating knot
  • Tait flyping conjecture. Morwen Thistlethwaite, Louis Kauffman and K. Murasugi proved the first two Tait conjectures in 1987 and Morwen Thistlethwaite

    Alternating knot

    Alternating knot

    Alternating_knot

  • One-relator group
  • Type of group in mathematics

    Theorem 4.14, p. 274 Lyndon & Schupp, Ch. II, Section 5, Proposition 5.11 Murasugi, Kunio (1964). "The center of a group with a single defining relation"

    One-relator group

    One-relator_group

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MURASUGI SUM

  • Summerall
  • Surname or Lastname

    English (Somerset and Gloucestershire)

    Summerall

    English (Somerset and Gloucestershire) : probably a variant of Summerhill.

    Summerall

  • Sumertun
  • Boy/Male

    English

    Sumertun

    From the Summer Estate

    Sumertun

  • Summerford
  • Surname or Lastname

    English

    Summerford

    English : habitational name from Somerford in Cheshire, Somerford Keynes in Gloucestershire, or Great and Little Somerford in Wiltshire, named with Old English sumor ‘summer’ + ford ‘ford’, i.e. a place where a river could be forded in the summer.

    Summerford

  • Sumter
  • Surname or Lastname

    English

    Sumter

    English : variant of Sumpter.Fort Sumter, SC, was named in honor of Thomas Sumter, known as the ‘Gamecock of the Revolution’ for the fear he inspired in the British and Tory forces and the pivotal role he played in key American victories. Born in 1734 near Charlottesville, VA, he was of Welsh heritage; his ancestors probably emigrated to America in the late 17th century.

    Sumter

  • Summer
  • Surname or Lastname

    English and German

    Summer

    English and German : from Middle English sum(m)er, Middle High German sumer ‘summer’, hence a nickname for someone of a warm or sunny disposition, or for someone associated with the season of summer in some other way.English : assimilated variant of Sumner.English : assimilated variant of Sumpter.Irish (Leinster and Munster) : Anglicization (part translation) of Gaelic Ó Samhraidh ‘descendant of Samhradh’, a byname meaning ‘summer’. The Gaelic name is also Anglicized as O’Sawrie, O’Sawra.German : from Middle High German summer ‘woven basket’ and, by extension, a measure of grain; also ‘drum’, hence a metonymic occupational name or nickname from any of these senses.

    Summer

  • Summer
  • Girl/Female

    English American

    Summer

    Born during the summer.

    Summer

  • Sumner
  • Boy/Male

    English American French

    Sumner

    Summoner.

    Sumner

  • Summerlin
  • Surname or Lastname

    German

    Summerlin

    German : diminutive of Summer 5.English (Bedfordshire) : unexplained.

    Summerlin

  • Sumarville
  • Boy/Male

    French

    Sumarville

    From the summer estate.

    Sumarville

  • Sumerton
  • Boy/Male

    English

    Sumerton

    From the summer estate.

    Sumerton

  • Sumra |
  • Girl/Female

    Muslim

    Sumra |

    Fruit, Summer fruit

    Sumra |

  • Sumpter
  • Surname or Lastname

    English

    Sumpter

    English : occupational name for a carrier, from Middle English sum(p)ter ‘(driver of a) pack animal’.

    Sumpter

  • Summerfield
  • Surname or Lastname

    English

    Summerfield

    English : habitational name from Summerfield in Wiltshire.Scottish : variant of Somerville.Americanized form of Ashkenazic Jewish Sommerfeld(t) (see Sommerfeld).

    Summerfield

  • Summerson
  • Surname or Lastname

    English

    Summerson

    English : patronymic from Summer 1.

    Summerson

  • Summerton
  • Surname or Lastname

    English

    Summerton

    English : habitational name from a place named Somerton, usually from Old English sumor ‘summer’ + tūn ‘farmstead’, notably Somerton in Oxfordshire, where the surname is still relatively common. There are also places so named in Somerset and Norfolk which may also have contributed to the surname.

    Summerton

  • Sumners
  • Surname or Lastname

    English

    Sumners

    English : variant or patronymic form of Sumner.

    Sumners

  • Sumernor
  • Boy/Male

    British, English

    Sumernor

    Summoner

    Sumernor

  • Summerset
  • Boy/Male

    British, English

    Summerset

    From the Summer Town

    Summerset

  • Sumner
  • Surname or Lastname

    English

    Sumner

    English : occupational name for a summoner, an official who was responsible for ensuring the appearance of witnesses in court, Middle English sumner, sumnor.William Sumner came to Dorchester, MA, from England in about 1635. His descendants include U.S. Senator Charles Sumner, a major force in the struggle to end slavery, who was born in 1811 in Boston.

    Sumner

  • Summers
  • Surname or Lastname

    English

    Summers

    English : patronymic from Summer 1.Irish (Sligo) : adopted as an English equivalent of Gaelic Ó Somacháin ‘descendant of Somachán’, a nickname meaning ‘gentle’, ‘innocent’.Americanized form of some like-sounding Ashkenazic Jewish name.

    Summers

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Online names & meanings

  • Naughton
  • Surname or Lastname

    Irish

    Naughton

    Irish : reduced form of McNaughton.English : habitational name from a place in Suffolk, named in Old English with nafola ‘navel’ + tūn ‘enclosure’, ‘settlement’, i.e. ‘settlement in the navel or depression’.

  • Shilling
  • Surname or Lastname

    English

    Shilling

    English : from the Middle English coin name schilling, probably a nickname referring to a fee or rent owed.Jewish (Ashkenazic) : variant spelling of Schilling.Americanized spelling of German Schilling.

  • ZUZANA
  • Female

    Czechoslovakian

    ZUZANA

    , lily.

  • Mantra-raj
  • Boy/Male

    Hindu, Indian

    Mantra-raj

    King of Enchanting Formulas

  • Anan
  • Girl/Female

    Muslim/Islamic

    Anan

    Clouds

  • Sarmistha
  • Girl/Female

    Indian, Sanskrit

    Sarmistha

    A Daughter of Vrsaparvan

  • Khayr
  • Boy/Male

    Muslim/Islamic

    Khayr

    Goodness health, Safe

  • Dhasvan
  • Boy/Male

    Indian, Telugu

    Dhasvan

    Priest

  • Macey
  • Boy/Male

    Australian, French, Polish

    Macey

    Weapon; Gift of God; From Matthew's Estate; Domain of Maccius

  • Ambrosius
  • Boy/Male

    Dutch Swedish

    Ambrosius

    Divine.

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Other words and meanings similar to

MURASUGI SUM

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MURASUGI SUM

  • Summons
  • v. t.

    To summon.

  • Sumptuosity
  • n.

    Expensiveness; costliness; sumptuousness.

  • Summist
  • n.

    One who sums up; one who forms an abridgment or summary.

  • Summitless
  • a.

    Having no summit.

  • Sumpter
  • a.

    Carrying pack or burdens on the back; as, a sumpter horse; a sumpter mule.

  • Summonses
  • pl.

    of Summons

  • Summons
  • v.

    The act of summoning; a call by authority, or by the command of a superior, to appear at a place named, or to attend to some duty.

  • Summerliness
  • n.

    The quality or state of being like summer.

  • Summery
  • a.

    Of or pertaining to summer; like summer; as, a summery day.

  • Summoner
  • v. t.

    One who summons; one who cites by authority; specifically, a petty officer formerly employed to summon persons to appear in court; an apparitor.

  • Sumptuous
  • a.

    Involving large outlay or expense; costly; expensive; hence, luxurious; splendid; magnificient; as, a sumptuous house or table; sumptuous apparel.

  • Sumner
  • n.

    A summoner.

  • Summertree
  • n.

    A summer. See 2d Summer.

  • Summoning
  • p. pr. & vb. n.

    of Summon

  • Summon
  • v. t.

    To give notice to, or command to appear, as in court; to cite by authority; as, to summon witnesses.

  • Summerstir
  • v. t.

    To summer-fallow.

  • Summoned
  • imp. & p. p.

    of Summon

  • Summertide
  • n.

    Summer time.

  • Summit
  • n.

    The highest degree; the utmost elevation; the acme; as, the summit of human fame.

  • Summersault
  • n.

    Alt. of Summerset