Definition of Syzygies

1. Noun. (plural of syzygy) ¹

¹ Source: wiktionary.com

Definition of Syzygies

1. syzygy [n] - See also: syzygy

Lexicographical Neighbors of Syzygies

systolic
systolic blood pressure
systolic murmur
systolic pressure
systray
systyle
systyles
sythe
sythes
syver
syvers
syzygal
syzygetic
syzygial
syzygic
syzygies (current term)
szaibelyite
szaskaite
szenicsite
szmikite
szmikites
szomolnokite
szomolnokites
sztrokayite
szymanskiite
sæcular
sæpta
sæptal
sæptum

Literary usage of Syzygies

Below you will find example usage of this term as found in modern and/or classical literature:

1. A Treatise on the Theory of Invariants by Oliver Edmunds Glenn (1915)
"Finiteness of a system of syzygies. A syzygy S among the members of a ... The totality of syzygies, therefore, is a system of polynomials (in the invariants ..."

2. A Treatise on the Theory of Invariants by Oliver Edmunds Glenn (1915)
"Finiteness of a system of syzygies. A syzygy 8 among the members of ... The totality of syzygies, therefore, is a system of polynomials (in the invariants ..."

3. Proceedings of the London Mathematical Society by London Mathematical Society (1901)
"If, instead of R, we write the sum of products of forms for which R stands, these systems of equations will give us the syzygies. This method has, as is ..."

4. A Philosophical and Mathematical Dictionary: Containing an Explanation of by Charles Hutton (1815)
"The gravity of the moon towards the earth, is increased by the action of the sun, when the moon is in the quadratures, and diminished in the syzygies: and, ..."

5. Algebraic Invariants by Leonard Eugene Dickson (1914)
"Finiteness of syzygies. Let /i, . . . , Im be a fundamental system of ... Take zi =/i, . . . , zm=Im. Hence there is a finite number of syzygies Si = 0, ..."

6. Hilbert's Invariant Theory Papers by David Hilbert, Robert Hermann (1978)
"Then from Theorem I there follows the proposition: A finite system of invariants has only a finite number of irreducible syzygies. As an example take the ..."

7. American Edition of the British Encyclopedia: Or, Dictionary of Arts and ...by William Nicholson by William Nicholson (1821)
"On the phenomena and circumstances of the syzygies, a great part of the lunar theory depends. For, 1. It is shown in the physical astronomy, that the force ..."

8. The Collected Mathematical Papers of Arthur Cayley by Arthur Cayley (1896)
"The simply divisible syzygies are infinite in number, as are also the reducible syzygies not simply divisible. There is obviously no use in writing down a ..."

9. A Treatise on the Theory of Invariants by Oliver Edmunds Glenn (1915)
"Finiteness of a system of syzygies. A syzygy S among the members of a ... The totality of syzygies, therefore, is a system of polynomials (in the invariants ..."

10. A Treatise on the Theory of Invariants by Oliver Edmunds Glenn (1915)
"Finiteness of a system of syzygies. A syzygy 8 among the members of ... The totality of syzygies, therefore, is a system of polynomials (in the invariants ..."

11. Proceedings of the London Mathematical Society by London Mathematical Society (1901)
"If, instead of R, we write the sum of products of forms for which R stands, these systems of equations will give us the syzygies. This method has, as is ..."

12. A Philosophical and Mathematical Dictionary: Containing an Explanation of by Charles Hutton (1815)
"The gravity of the moon towards the earth, is increased by the action of the sun, when the moon is in the quadratures, and diminished in the syzygies: and, ..."

13. Algebraic Invariants by Leonard Eugene Dickson (1914)
"Finiteness of syzygies. Let /i, . . . , Im be a fundamental system of ... Take zi =/i, . . . , zm=Im. Hence there is a finite number of syzygies Si = 0, ..."

14. Hilbert's Invariant Theory Papers by David Hilbert, Robert Hermann (1978)
"Then from Theorem I there follows the proposition: A finite system of invariants has only a finite number of irreducible syzygies. As an example take the ..."

15. American Edition of the British Encyclopedia: Or, Dictionary of Arts and ...by William Nicholson by William Nicholson (1821)
"On the phenomena and circumstances of the syzygies, a great part of the lunar theory depends. For, 1. It is shown in the physical astronomy, that the force ..."

16. The Collected Mathematical Papers of Arthur Cayley by Arthur Cayley (1896)
"The simply divisible syzygies are infinite in number, as are also the reducible syzygies not simply divisible. There is obviously no use in writing down a ..."

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