At this point the phase space changes qualitatively and the dynamical system is said to have gone through a bifurcation.

" At this second breakpoint the ( successful ) system enters a bifurcation: it begins to open up to innovative changes, to accept information or resources that were explicitly rejected in Phase II, and it simultaneously reinvents itself.

At that point we reach the `` closed '' historical situation: the situation in which man is no longer free to return to a status quo ante.

At that point men become aware of the mystery of history called variously `` fate '', or `` destiny '', or `` providence '', and feel themselves caught helplessly in the writhing of a disrupted society.

At this point Mrs. Frances Cupply, one of Wright's handsome daughters by his first wife, came from the house and tried to calm Miriam as she tore down a no visitors sign and smashed the glass pane on another sign with a rock.

At this point a working definition of idea is in order, although our first definition will have to be qualified somewhat as we proceed.

At this point, of course, the issue has become complicated by a development unforeseen by Lappenberg and Kemble.

At that point the Administration will have little reason to hang onto Gen. Swing.

At 2130 hours they had passed through the barbed wire at the point of departure.

At this point it should be painfully obvious that cities, being `` soft '', and the people within them are ideally suited to destruction by nuclear weapons.

At this point the drains are readjusted so that the suds box drain will discharge directly into the waste line and the main tub drain is set at the 2-1/2 mark on the drain gauge.

At this point, unfortunately, romance becomes a regrettably small part of the picture ; ;

At the point where they ended, another settlement grew up around a chapel built at the boat landing by Father Lucian Galtier in 1840.

At one point in the game when the skinny old man in suspenders who was acting as umpire got in the way of a thrown ball and took it painfully in the kidneys, he lay there unattended while players and spectators wrangled over whether the ball was `` dead '' or the base runners were free to score.

At this point Charles C. Hanch, long an advocate of patent peace in the industry, became chairman of the patents committee of the National Automobile Chamber of Commerce, successor to the Automobile Board of Trade.

At this point you cross the wide Corso Vittorio Emanuele 2,, walk along the Corso Del Rinascimento a couple of hundred yards, then turn left on the Via Dei Canestrani to enter the splendid Piazza Navona, one of the truly glorious sights in Rome.

At one point late in the day, when Palmer was lining up a 25-foot putt on the 16th, a thunderous cheer from the direction of the 18th green unmistakably announced that Player had birdied the final hole.

At that point William came into the picture.

At one point, Abby May threatened that she and their daughters would move elsewhere, leaving Bronson behind.

At some point, he was alleged to have accompanied Swein on a pilgrimage to the Holy Land, but proof is lacking.

At that point the deposed emperor was ransomed by Michael I of Epirus, who sent him to Asia Minor, where Alexios ' son-in-law Theodore I Laskaris of the Empire of Nicaea was holding his own against the Latins.

In the list of popes given in the Holy See's annual directory, Annuario Pontificio, the following note is attached to the name of Pope Leo VIII ( 963 – 965 ): At this point, as again in the mid-eleventh century, we come across elections in which problems of harmonising historical criteria and those of theology and canon law make it impossible to decide clearly which side possessed the legitimacy whose factual existence guarantees the unbroken lawful succession of the successors of Saint Peter.

At one point, his Spanish pursuers urinated at the bottom of a tree he was hiding in, but did not discover him.

At no great distance east of this rift-valley is Mount Kilimanjaro-with its two peaks Kibo and Mawenzi, the latter being, and the culminating point of the whole continent — and Mount Kenya, which is.

At this point during the pre-mission preparations, the Saturn V rocket's three stages were powered up and drinking water was pumped into the spacecraft.

At this point, during tests of the CSM's steerable rocket engine in preparation for the burn to modify the craft's orbit, a malfunction occurred in the engine's backup system.

At that point, scientists began to reconsider their pre-mission hypothesis that Descartes had been the setting of ancient volcanic activity, as the two astronauts had yet to find any volcanic material.

At one time I became disturbed in the faith in which I had grown up by the apparent inroads being made upon both Old and New Testaments by a `` Higher Criticism '' of the Bible, to refute which I felt the need of a better knowledge of Hebrew and of archaeology, for it seemed to me that to pull out some of the props of our faith was to weaken the entire structure.

At the top of the structure is the forest.

At 75 GPa it converts to a face centered orthorhombic structure.

At room temperature and pressure, barium has a body-centered cubic structure, with a barium – barium distance of 503 picometers, expanding with heating at a rate of approximately 1. 8 /° C.

At the start of 2007, the BWF introduced a new tournament structure for the highest level tournaments aside from those in level one: the BWF Super Series.

At each of these levels a botanist might be concerned with the classification ( taxonomy ), structure ( anatomy and morphology ), or function ( physiology ) of plant life.

At the largest sizes, one or more exterior or interior rings may appear, and the structure may be labeled an impact basin rather than an impact crater.

At the top a capital ( also known as a chapiter ) or finial decorate the column, depending on whether it is attached to a structure or free-standing.

" At the same time for Derrida deconstruction is also a " structuralist gesture " because it is concerned with the structure of texts.

At the start of the 21st century, a two-tier structure has arisen, with a few international food processing giants controlling a wide range of well-known food brands.

At the same time, he said that engineers have told the team that the structure has 40 – 50 years of life remaining and that " there is nothing in the plans ( for a new ballpark )".

At proximity, where spatial structure begins to be important, a composite particle ( or system ) behaves according to its constituent makeup.

At the beginning many Hezbollah leaders have maintained that the movement was " not an organization, for its members carry no cards and bear no specific responsibilities ," and that the movement does not have " a clearly defined organizational structure.

At the protein level, the halophilic species are characterized by low hydrophobicity, overrepresentation of acidic residues, underrepresentation of Cys, lower propensities for helix formation and higher propensities for coil structure.

At liquid-helium temperatures ( 4 K ) the rhombohedral structure is the most prevalent.

At 310 ° C, lanthanum changes to a face-centered cubic structure, and at 865 ° C into a body-centered cubic structure.

At the level of the brain, this abstraction becomes evident as the information structure known as the mind.

The pure number we call the fine structure constant and denote by α is a combination of the electron charge, e, the speed of light, c, and Planck's constant, h. At first we might be tempted to think that a world in which the speed of light was slower would be a different world.

( At lower photon energies a characteristic structure with edges appears, K edge, L edges, M edges, etc.

At the end of this period a new landscape emerges: the northern Canaanite cities still existed, more or less intact, and became the Phoenicians ; the highlands behind the coastal plains, previously largely uninhabited, were rapidly filling with villages, largely Canaanite in their basic culture but without the Bronze Age city-state structure ; and along the southern coastal plain there are clear signs that a non-Canaanite people had taken over the former Canaanite cities while adopting almost all aspects of Canaanite culture.

At least some pterosaurs were covered with hair-like filaments known as pycnofibres, similar to but not homologous ( sharing a common structure ) with mammalian hair.

At a certain temperature, the crystal structure has formed sufficiently to prevent diffusion of isotopes.

At room temperature, the most stable form of iron is the body-centered cubic ( BCC ) structure α-ferrite.