Mathematical notations include relatively simple symbolic representations, such as the numbers 0, 1 and 2, function symbols sin and +; conceptual symbols, such as lim, dy / dx, equations and variables ; and complex diagrammatic notations such as Penrose graphical notation and Coxeter-Dynkin diagrams.

While the basic space-like passage of a static black hole cannot be traversed, Penrose diagrams for rotating and / or electrically charged black holes reveal " inner event horizons " ( lying in the future ) and vertically oriented singularities, which open up what is known as a " time-like wormhole " allowing passage into future universes.

The threshold for Penrose OR is given by the indeterminacy principle E = ħ / t, where E is the gravitational self-energy or the degree of spacetime separation given by the superpositioned mass, ħ is the reduced Planck constant, and t is the time until OR occurs.

Together, Penrose and Hameroff have proposed that when condensates in the brain undergo an objective reduction of their wave function, that collapse connects to non-computational decision taking / experience embedded in the geometry of fundamental spacetime.

From 1923 to 1925 he was a staff editor / writer for the Penrose Annual, a graphics arts journal.

" Accepting the resignation-the first since the new government took office earlier this year-Tanáiste Eamon Gilmore commented, " It is with regret that I accept the resignation of Minister of State for Housing and Planning, Willie Penrose, Willie Penrose is a valued colleague, with a long and proud record of service to the Labour Party and to Longford / Westmeath ".

* Roger Penrose ( singularity theorems, conformal compactification and techniques from algebraic geometry, Penrose limits, cosmic censorship hypotheses, Penrose inequalities, geometry of gravitational plane waves, impulsive waves, Penrose / Khan colliding plane wave, Newman / Penrose formalism, twistor theory, Weyl curvature hypothesis, highly influential monograph ),

( This argument would be made again by philosopher John Lucas in 1961 and physicist Roger Penrose in 1989.

A modern form of this argument is given by Sir Roger Penrose.

A modern form of this argument is given by Sir Roger Penrose.

Roger Penrose, an English mathematical physicist, presents the argument that human consciousness is non-algorithmic, and thus is not capable of being modeled by a conventional Turing machine-type of digital computer.

Penrose presents the argument that human consciousness is non-algorithmic, and thus is not capable of being modeled by a conventional Turing machine-type of digital computer.

In order to work, and as pointed out by Roger Penrose from 1986 on, inflation requires extremely specific initial conditions of its own, so that the problem ( or pseudoproblem ) of initial conditions is not solved: “ There is something fundamentally misconceived about trying to explain the uniformity of the early universe as resulting from a thermalization process.

More narrowly the works Jack Downie and Edith Penrose offer many insights for those thinking about evolution at the level of the firm in an industry.

In this area, Penrose draws on both Einstein's general theory of relativity, and on his own notions about the possible structure of spacetime.

Due to an early dispute about priority and correct attribution, the effect is also sometimes referred to as the Penrose-Terrell effect, the Terrell – Penrose effect, or just as the Terrell effect.

In 1981 de Bruijn exposed the cut and project method and in 1984 came the sensational news about Shechtman quasicrystal which promoted the Penrose tiling to fame.

It was from a conversation as Young was about to return to Utah at the end of his time as mission president that Charles W. Penrose wrote the hymn " Beautiful Zion For Me ".

A Penrose tiling of the whole ( infinite ) plane can only have exact 5-fold rotational symmetry ( of the whole tiling ) about a single point, however, whereas the 4-fold and 6-fold lattices have infinitely many centres of rotational symmetry.

He experimented with the process of blockmaking, and several of his technical articles about blockmaking were published in the Penrose Annual Volumes published from Britain.

The British handbook of printing technology, the Penrose Annual, Volume X, 1904 – 05, mentioned about him in an editorial note that, " Mr. Ray is evidently possessed of a mathematical quality of mind and he has reasoned out for himself the problems of half-tone work in a remarkably successful manner ..... ( His screen-adjusting machine ) enables the operator to do uniform work with the fullest graduation and detail in it and with the minimum amount of manipulative skill in the negative-making and etching.

" The Penrose Annual Volume XI of 1905-06 published his paper about the new technique of 60-degree screens in halftone blockmaking.

Tamar Penrose, the postmistress, seduces Ned, whose resistance weakens as he tries to learn more about Missy and her abilities.

* Penrose uses Gödel's incompleteness theorem ( which states that there are mathematical truths which can never be proven in a sufficiently strong mathematical system ; any sufficiently strong system of axioms will also be incomplete ) and Turing's halting problem ( which states that there are some things which are inherently non-computable ) as evidence for his position.

Penrose came to the problem from the view point of mathematics and in particular Gödel's theorem, while Hameroff approached it from a career in cancer research and anesthesia that gave him an interest in brain structures.

In his first book on consciousness, The Emperor's New Mind ( 1989 ), Penrose made Gödel's theorem the basis of what quickly became an intensely controversial claim.

The Penrose theorem guarantees that some sort of geodesic incompleteness occurs inside any black hole, whenever matter satisfies reasonable energy conditions.

Roger Penrose and others have also offered alternative arguments for variants of the original positive energy theorem.

* The positive mass theorem was used in Hubert Bray's proof of the Riemannian Penrose inequality.

However, the Penrose – Hawking singularity theorems show that a singularity should exist for very general conditions.

Stephenson has expressed sympathy for the idea that human consciousness involves quantum effects, as suggested by Roger Penrose.

# Paradox illusions are generated by objects that are paradoxical or impossible, such as the Penrose triangle or impossible staircases seen, for example, in M. C.

* 1969 — Roger Penrose discusses the Penrose process for the extraction of the spin energy from a Kerr black hole

They were accompanied by surgeon Dr. Charles Penrose as well as Ed Towse, a reporter for the Cheyenne Sun, and a newspaper reporter for the Chicago Herald, Sam T. Clover, whose lurid first-hand accounts later appeared in eastern newspapers.

* Weyl curvature hypothesis, for a different cosmological hypothesis due to Roger Penrose.

In " True Vampires of History ", Donald Glut ( echoing Penrose ) says that as Erzsebet grew older, she practiced witchcraft and carried a parchment ( Penrose says the shriveled caul of a newborn child ) on which was inscribed an incantation for protection.

K. Chandrasekharan, Hermann Weyl, 1885 – 1985, Centenary lectures delivered by C. N. Yang, R. Penrose, A. Borel, at the ETH Zürich Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo – 1986, published for the Eidgenössische Technische Hochschule, Zürich.

The team opted to go with former Jacksonville starter Matt Robinson as Walton's replacement, rather than seeking a more proven USFL QB without a home, like Craig Penrose, Alan Risher, or Mike Hohensee, or trading for someone like Oakland's Fred Besana, or even signing an NFL vet.

* Early in the study of superfluidity, Penrose and Onsager proposed a metric (" order parameter ") for superfluidity.

* 1919-Frances Penrose Owen, BA Greek, honored for her extensive public service in Seattle, first woman Regent of Washington State University

The MP for the Weston-super-Mare parliamentary constituency is John Penrose of the Conservative Party, who won the seat in the 2005 General Election.

* The Moore – Penrose pseudoinverse exists and is unique: for any matrix, there is precisely one matrix, that satisfies the four properties of the definition.

The section of the River Camel between and Tuckingmill Bridge and Penrose Bridge near Blisland is graded as Grade 2 for kayaking.

The Union supports education through Carey Baptist College in Penrose, and Te Whare Amorangi, designed for Maori men and women, in Papatoetoe.

A system of diagram conventions may evolve into a mathematical notation – for example, the Penrose graphical notation for tensor products.

Penrose earned the International Master title in 1961 and was the leading British player for several years in the 1960s and early 1970s, surpassing the achievement of Henry Ernest Atkins by winning the British Championship a record number of times.

Penrose graduated in 1885 with a Ph. D. from Harvard for work on phosphates.

Following the publication of this book, Penrose began to collaborate with Stuart Hameroff on a biological analog to quantum computation involving microtubules, which became the foundation for his subsequent book, Shadows of the Mind: A Search for the Missing Science of Consciousness.