unipotentadj.

Brit.

/juːˈnɪpət(ə)nt/, U.S.

/juˈnɪpət(ə)nt/

Origin: Formed within English, by compounding. Etymons: uni- comb. form, potent adj.¹

Etymology: < uni- comb. form + potent adj.¹In sense 2b after German unipotente (1903 or earlier in this sense).

1. Having a single effect; effective in only one manner or respect. rare.

ΚΠ

1836 J. Kennedy Sketch Med. Monopolies iv. 85 Some persons who admire the unipotent tendencies of French legislation wish for the introduction of this change.

1864 D. D. Whedon Freedom of Will 56 Every necessary cause is unipotent, that is, has its own solely possible effect.

1909 Cent. Dict. Suppl. XI. 1400/3 Unipotent, powerful or effective in only one way or direction.

a. Genetics. Of a genetic factor: causing a phenotypic effect when present in only one copy. rare. disused.The term is attributed to W. E. Castle (1867–1962).

ΘΚΠ

the world > life > biology > substance > cell > [adjective] > potency or competence

sterile1856

totipotent1904

multipotential1913

unipotent1913

multipotent1928

competent1932

totipotential1934

1913 Publ. Carnegie Inst. Washington No. 179. 37 With such semi-potent characters may be contrasted uni-potent characters, which cause visible effect in the zygote when present in one-half its gametes.

b. Medicine and Biology. Of a cell: capable of giving rise to only one type of cell or tissue.

ΚΠ

1914 J. G. Adami & J. McCrae Text-bk. Pathol. (ed. 2) vi. 325 A totipotent cell is one that is capable of giving origin to an individual, that is, one that give origin to cells of every order; a unipotent cell is one that can give rise to cells of only one order.

1979 Nature 18 Jan. 177/1 Such a cell is unipotent and exclusively committed to maturation along the erythroid pathway.

2006 M. Bellomo Stem Cell Divide iii. 38 The most common unipotent stem cell in the human body are the skin cells hidden in the epithelium.

3. Mathematics.

a. Of a function: that is its own inverse. rare. disused.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > qualities

adjoint1856

transposed1858

adjugate1867

orthogonal1891

alternant1892

positive definite1904

skew-symmetric1911

skew-symmetrical1911

unipotent1921

Hermitian1927

non-Hermitian1930

1921 Proc. Royal Soc. A. 99 299 The general meaning of a conjugate, ϕ_c, of ϕ may be taken to be that it is a unipotent retroscriptive linity of the linity ϕ. Thus ϕ′ is a linity function of the linity ϕ:..unipotent because (ϕ′)′ = ϕ.

b. Of a semigroup: having a single idempotent element.

ΚΠ

1954 T. Tamura in Kōdai Math. Seminar Rep. 95/1 By a zero-semigroup we mean a unipotent semigroup whose idempotent is a two-sided zero.

1984 Semigroup Forum 27 94 The assertion of this theorem for the case of unipotent semigroups is proved in the paper.

2002 A. V. Mikhalev & G. F. Pilz Conc. Handbk. Algebra 24 A semigroup is called unipotent if it has a single idempotent.

c. Designating an element of a ring that differs from the multiplicative identity (‘1’) of the ring by a nilpotent element. Of a ring: consisting only of such elements.Esp. in reference to a matrix, for which an equivalent condition for being unipotent is that its sole eigenvalue is 1.

ΚΠ

1955 Ann. Math. 61 390 T is nilpotent if its nilspace is the entire space, it is unipotent if T − I is nilpotent.

1982 Canad. Math. Bull. 25 187 An element x in a ring with 1 is said to be unipotent if x − 1 is nilpotent.

2007 C. Procesi Lie Groups vii. 186 We have seen in characteristic 0 that a unipotent group is conjugate to a subgroup of the group..of strictly upper triangular matrices.

This entry has been updated (OED Third Edition, September 2015; most recently modified version published online March 2022).

单词	unipotent
释义	unipotentadj. Brit. /juːˈnɪpət(ə)nt/, U.S. /juˈnɪpət(ə)nt/ Origin: Formed within English, by compounding. Etymons: uni- comb. form, potent adj.¹ Etymology: < uni- comb. form + potent adj.¹In sense 2b after German unipotente (1903 or earlier in this sense). 1. Having a single effect; effective in only one manner or respect. rare. ΚΠ 1836 J. Kennedy Sketch Med. Monopolies iv. 85 Some persons who admire the unipotent tendencies of French legislation wish for the introduction of this change. 1864 D. D. Whedon Freedom of Will 56 Every necessary cause is unipotent, that is, has its own solely possible effect. 1909 Cent. Dict. Suppl. XI. 1400/3 Unipotent, powerful or effective in only one way or direction. 2. a. Genetics. Of a genetic factor: causing a phenotypic effect when present in only one copy. rare. disused.The term is attributed to W. E. Castle (1867–1962). ΘΚΠ the world > life > biology > substance > cell > [adjective] > potency or competence sterile1856 totipotent1904 multipotential1913 unipotent1913 multipotent1928 competent1932 totipotential1934 1913 Publ. Carnegie Inst. Washington No. 179. 37 With such semi-potent characters may be contrasted uni-potent characters, which cause visible effect in the zygote when present in one-half its gametes. b. Medicine and Biology. Of a cell: capable of giving rise to only one type of cell or tissue. ΚΠ 1914 J. G. Adami & J. McCrae Text-bk. Pathol. (ed. 2) vi. 325 A totipotent cell is one that is capable of giving origin to an individual, that is, one that give origin to cells of every order; a unipotent cell is one that can give rise to cells of only one order. 1979 Nature 18 Jan. 177/1 Such a cell is unipotent and exclusively committed to maturation along the erythroid pathway. 2006 M. Bellomo Stem Cell Divide iii. 38 The most common unipotent stem cell in the human body are the skin cells hidden in the epithelium. 3. Mathematics. a. Of a function: that is its own inverse. rare. disused. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > qualities adjoint1856 transposed1858 adjugate1867 orthogonal1891 alternant1892 positive definite1904 skew-symmetric1911 skew-symmetrical1911 unipotent1921 Hermitian1927 non-Hermitian1930 1921 Proc. Royal Soc. A. 99 299 The general meaning of a conjugate, ϕ_c, of ϕ may be taken to be that it is a unipotent retroscriptive linity of the linity ϕ. Thus ϕ′ is a linity function of the linity ϕ:..unipotent because (ϕ′)′ = ϕ. b. Of a semigroup: having a single idempotent element. ΚΠ 1954 T. Tamura in Kōdai Math. Seminar Rep. 95/1 By a zero-semigroup we mean a unipotent semigroup whose idempotent is a two-sided zero. 1984 Semigroup Forum 27 94 The assertion of this theorem for the case of unipotent semigroups is proved in the paper. 2002 A. V. Mikhalev & G. F. Pilz Conc. Handbk. Algebra 24 A semigroup is called unipotent if it has a single idempotent. c. Designating an element of a ring that differs from the multiplicative identity (‘1’) of the ring by a nilpotent element. Of a ring: consisting only of such elements.Esp. in reference to a matrix, for which an equivalent condition for being unipotent is that its sole eigenvalue is 1. ΚΠ 1955 Ann. Math. 61 390 T is nilpotent if its nilspace is the entire space, it is unipotent if T − I is nilpotent. 1982 Canad. Math. Bull. 25 187 An element x in a ring with 1 is said to be unipotent if x − 1 is nilpotent. 2007 C. Procesi Lie Groups vii. 186 We have seen in characteristic 0 that a unipotent group is conjugate to a subgroup of the group..of strictly upper triangular matrices. This entry has been updated (OED Third Edition, September 2015; most recently modified version published online March 2022). < adj.1836
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