These conditions played an important role in the development of the structure theory of commutative rings in the works of David Hilbert, Emmy Noether, and Emil Artin.

These pumps should be distinguished from other penis pumps ( supplied without compression rings ) which, rather than being used for temporary treatment of impotence, are claimed to increase penis length if used frequently, or vibrate as an aid to masturbation.

These tetrahedra can be polymerized to give the subclasses: orthosilicates ( no polymerization, thus single tetrahedra ), disilicates ( two tetrahedra bonded together ), cyclosilicates ( rings of tetrahedra ), inosilicates ( chains of tetrahedra ), phyllosilicates ( sheets of tetrahedra ), and tectosilicates ( three-dimensional network of tetrahedra ).

These sites are located on the interior surface of the rings, so that the target protein must enter the central pore before it is degraded.

These are a number of narrow iron rings, fitted loosely into grooves in the piston, just below the crown.

These are rings made of a hard metal, and are sprung into a circular groove in the piston head.

These tetrahedra sometimes occur as isolated SiO < sub > 4 </ sub >< sup > 4 -</ sup > centres, but most commonly, the tetrahedra are joined together in various ways, such as pairs ( Si < sub > 2 </ sub > O < sub > 7 </ sub >< sup > 6 -</ sup >) and rings ( Si < sub > 6 </ sub > O < sub > 18 </ sub >< sup > 12 -</ sup >).

These are proteinaceous, non-chitinous specializations of the epidermis which are either arranged in rings or scattered.

These rosary rings were given to some Catholic nuns at the time of their solemn profession.

These prolegs have rings of tiny hooks called crochets that help them grip the substrate.

* The dimension of a polynomial ring over a field is the number of indeterminates d. These rings correspond to affine spaces in the language of schemes, so this result can be thought of as foundational.

These were held in position by bulkheads and rings and surrounded by a cylindrical outer shell.

These holes are often filled with annular rings ( hollow rivets ) to create vias.

These molecules, composed primarily of fused rings of carbon ( either neutral or in an ionized state ), are said to be the most common class of carbon compound in the galaxy.

These rings are not always perfectly symmetrical due to a variety of effects, including strain induced by the bonding between units that are needed to produce the overall structure, or coordination of some of the oxygen atoms of the rings to cations within the structure.

These thomsonite nodules have concentric rings in combinations of colors: black, white, orange, pink, red, and many shades of green.

These are found just posterior and lateral to the antennae, and are shaped as small and oval rings at the base of the antennae.

These orbit rings are believed to represent the tracks of Yuri Gagarin, the first man in space, John Glenn, the first American to orbit the Earth, and Telstar, the first active communications satellite.

These rings were thus free of Sauron's corrupting influence.

These rings are used as a form of currency, and are backed by fixed volumes of water ( analogous to the historical gold standard ).

These new machines had one major advantage: they were completely impervious to the effects of mineralization, and rings and other jewelry could now be located even under highly-mineralized black sand.

These are arranged in concentric rings referred to as tracks across the surface of each disk.

These younger units of this geologic formation date to the early Maastrichtian stage of the Late Cretaceous Period, 70 to 68 Ma ( million years ago ).

These lectures are listed by date of delivery, with date of first publication given separately if different.

These events date Deutero-Isaiah's earlier prophecies.

These mostly range in date from the beginning of the Greek Bronze Age ( about 3200 BC ) to the reign of the Roman Emperor Constantine I in the 4th century AD.

These offices are of very ancient date, and many of them were probably in origin proper to individual saints.

These scholars date the epistle from the 80s CE up to the end of the 2nd century.

These fossils help scientists to date the core and to understand the depositional environment in which the rock units formed.

These quasi-periodic Lissajous orbits are what most of Lagrangian-point missions to date have used.

These mostly date to the 14th and 15th centuries.

These items are affected both by precession of the equinoxes and nutation, and thus depend on the theories applied to precession and nutation, and on the date used as a reference date for the coordinate system.

These both date from late Paleocene deposits of Morocco.

These and other developments hint that the retroactive rediscovery of Feynman ’ s “ Plenty of Room ” gave nanotechnology a packaged history that provided an early date of December 1959, plus a connection to the charisma and genius of Richard Feynman.

* Redeemable – These shares are issued with an agreement that the company will buy them back at the option of the company or the shareholder after a certain period, or on a fixed date.

These bottles usually have a label that details the date the whisky was distilled, the date it was bottled, the number of bottles produced, the number of the particular bottle, and the number of the cask that produced the bottles.

Some of her charting singles include " Crucify ", " Silent All These Years ", " God ", " Cornflake Girl ", " Caught a Lite Sneeze ", " Professional Widow ", " Spark ", " 1000 Oceans ", and " A Sorta Fairytale ", her most commercially successful single in the U. S. to date.

These relations date back to the UAE's formation in 1971, and have since developed into wide-ranging co-operation in various fields.

These tombs, which date to the Early Dynastic IIIa period ( approximately in the 25th or 24th century BC ), contained immense amounts of luxury items made out of precious metals, and semi-precious stones all of which would have had to been imported from long distances ( Iran, Afghanistan, India, Asia Minor, the Persian Gulf ).

These geologic formations are estimated to date back to the Campanian stage ( between 83 and 70 million years ago ) of the Late Cretaceous Epoch.

These two events are the only use of nuclear weapons in war to date.

These suits have not been successful to date.

These findings are contested by Warnicke in several books and articles, but the evidence does not conclusively support either date.

These clarify and extend the definitions in some areas, but to date many countries, including the United States, have either not signed them or have not ratified them.