If they are chaotic all bets are off — future states
of the phase space are unknowable without perfect information — and statistics are meaningless.
In this sense — as I said — we are interested in the properties of a finite volume
of the phase space rather than an average over the entire bifurcated phase space.
Tomas distinguised between the temporal chaos of models and the spatio - temporal chaos of Earth's climate — different in the number of strange attractors and the volume
of the phase space but not different in principle.
That's why there is (and must be) a physical mechanism which restricts the system to a finite part
of the phase space.
So dynamical systems have an average over the entire volume
of the phase space.
This would include the volume
of phase space occupied by chaotic attractors, the consequent amplitude of temperature fluctuations, and the timescale over which any averaging might occur.
First there are no subsets
of the phase space where the system stays «trapped».
But ergodicity is still expected, and the thermodynamics suggest that the functional shape
of the phase space sampled by the molecules of even the very dilute gas high up in the vertical column is scale invariant, so that a true ergodic average will be similarly invariant.
Robert Brown: «But ergodicity is still expected, and the thermodynamics suggest that the functional shape
of the phase space sampled by the molecules of even the very dilute gas high up in the vertical column is scale invariant, so that a true ergodic average will be similarly invariant.»
As someone who has training in both engineering and environmental science — I expect that there are a practically infinite number of fudge factors that can be used to constrain the size
of the phase space.
Another property is that it generally stays in a bounded volume
of the phase space (called attractor) what explains why through billions of years despite the large variations of all parameters on all time scales (from hours to million of years), the system always stayed in a quasi stable state.
TW: By the early «90s, I began to see the total surface as a kind
of phase space — an accumulation of actions and information.
The 19th - century French mathematician Joseph Liouville proved that these flow lines are like those of particles in an incompressible fluid: the multidimensional volume of any region
of phase space is preserved.
Not exact matches
«
Phase one would be updating the performance
space: take out the existing screen, build a backstage, take out a row or two
of seats, build a VIP section in the lobby,» Gerrity explained.
So as she prepared to open a larger
space this February, she decided to
phase out tips completely, in favor
of a flat wage for her servers and a higher minimum wage for her other workers.
They made clear to me in a very concrete way that our collective dream
of entering
space is now in the countdown
phase.
The
space is located at 9460 N. Virginia St.. The new lease brings
Phase I
of the commerce center to full occupancy.
Every
phase takes on a new aspect towards the ultimate goal
of building 3D printed habitats designed for deep
space exploration and colonization.
One possibility: time is just another spatial dimension except at the beginning
of space and time This is perhaps like formation
of an ice crystal or alignment
of magnetic domains, a
phase change in which time becomes timelike.
In this
phase of his theory time is a relation between events, and the qualities
of the structure expressed in the abstractions which are
space and time apparently are qualities
of passage.
With the becoming
of any actual entity what was previously potential in the
space - time continuum is now the primary real
phase in something actual» (Process and Reality, An Essay in Cosmology 103 and 104).
Furthermore, since the initial
phase of physical prehension immediately follows the past cause, there is no temporal
space within which to be active between occasions.
The company plans to start its conversion by
phasing more than a million cage - free eggs into its products, sparing nearly 4,000 birds each year from being crammed inside tiny cages that provide each hen less
space than a sheet
of paper to spend her entire life.
The project's initial
phase features 300,000 + square feet
of Class A office
space; 180,000 + square feet
of innovative retail and dining experiences including Central Fare, Miami's first true food hall; 800 smartly designed residential rental units; and the home
of Brightline, redefining train travel in the United States.
The Gunners were taking over this
phase of play, and Iwobi forced Dubravka into a save having created the
space for a toe poke.
In the first
phase of play the midfield double pivot
of Lucas and Gerrard are culpable for leaving the
space Bony drops into when receiving Shelvey's pass, Sakho is also culpable for the goal as his decision to push up has forced Škrtel to cover for him and created
space for Shelvey to exploit.
In addition to releasing eight new family - friendly films for rental from
Phase 4 Films (I Heart Shakey, Rockstars,
Space Dogs, Smitty, Kiara, My Friend Bernard, Freddy Frogface and Donkey X), RedBox is hosting a series
of exciting sweepstakes for you to enter!
In 1986, using classroom
space rented by the steward
of the property, the Threefold Educational Foundation (now, the Threefold Educational Center), classes started, and the next
phase of the Waldorf Institute began.
«I don't think we can build the whole building at once, but we do want to have some
space to move into,» Park District Board Vice President Mary Wright said, noting the project is to be constructed in
phases by using available bond funds, reserve money and any money gained from the sale or lease
of property to the library.
The
space is northeast
of the 25 - acre Arlington Downs development, a $ 250 million mixed - use redevelopment that is being built in four
phases.
If the dilation
of the cervix stops for over two hours during this
phase or slows over four hours, and the contractions lose their rhythmic pattern and become uncoordinated or
spaced out, oxytocin can be helpful to correct the problem.
Three shelves provide a lot
of storage
space to speed things along during the nursery
phase and no floor
space needed with the hutch atop your double dresser.
She and Joe found a
space that would fill the need for additional storage and also accommodate a small showroom, and the next
phase of Z. Bear began.
The vast majority
of parents were foreign - born in Hong Kong or southern China, with relatively low educational attainment and a median income
of between $ 30,001 and $ 45,000 in each
of the study's three
phases,
spaced out equally over eight years.
The first
phase of the $ 200 million project on East Main St. will include construction
of 96 new apartments, 72 active senior living homes, as well as additional retail and office
space.
While the discussions are preliminary and conceptual, at this point the first
phase would include construction
of 1,000 hotel rooms, theater and entertainment components, approximately 3 million square feet
of convention and exhibition
space, expansion
of VLT gaming
space and a parking facility.
A FLREDC priority project, the
phased, $ 200 million project broke ground on the major $ 100 million
phase of the development that includes the construction
of 96 creatively designed luxury apartment homes on the 9th through 12th floors, retail on Main Street, office
space in the mid-rise, mixed income and active senior living apartments, and a complete rehabilitation
of the entire facade and windows
of the building.
The first
phase of the project will involve construction
of a 275,000 - square - foot building that will be shared by Silevo and Soraa, with the solar panel manufacturer occupying more than 80 percent
of the
space.
Sources with knowledge
of the talks in Albany said that disputes remained over matters
of time and
space: the length
of the period in which the change should be implemented, and the regions outside
of New York City where the
phase - in could occur at a slower rate due to a lower cost
of living.
The second
phase of Urby Staten Island is expected to break ground in the summer with another building that has more than 300 apartments and 30,000 square feet
of retail
space, the developers said.
The Ryanwayland Moon
Phase Astronomy and
Space watch shows the amazing
phases of the Moon.
The MIT team is in the pilot
phase of the program, called «The Mahali
Space Weather Monitoring Project,» so team members are using their own phones.
In a paper published in EPJ Plus, Marco Tantardini and Enrico Flamini from the Italian
Space Agency (ASI) make the case for taking part in the robotic
phase of the Asteroid Redirect Mission (ARM).
Using the Great Barrier Reef as their study case, they estimated the evolution
of the region over the last 14,000 years and showed that (1) high sediment loads from catchments erosion prevented coral growth during the early
phase of sea level rise and favoured deep offshore sediment deposition; (2) how the fine balance between climate, sea level, and margin physiography enabled coral reefs to thrive under limited shelf sedimentation rates at 6,000 years before present; and, (3) how over the last 3,000 years, the decrease
of accommodation
space led to the lateral extension
of coral reefs consistent with available observational data.
The Cislunar Explorers — cislunar means «between the Earth and the moon» — are in
phase 3
of the four -
phase Ground Tournament portion
of the Cube Quest Challenge, sponsored by NASA's
Space Technology Mission Directorate Centennial Challenge Program.
Regions
of space with different
phases would then meet at domain walls.
«With the help
of optoelectrical Sisyphus cooling we have increased the
phase -
space density by a factor
of 10,000 which proves the usefulness
of the technique.
Using 80 hours
of observing time on NASA's infrared Spitzer
Space Telescope, a team led by Brice - Olivier Demory
of the University
of Cambridge has crudely mapped the planet's thermal «
phase curve» — variations in its brightness as it circles its star.
Craig Covault, an aerospace journalist who has «covered every U.S.
space launch since Apollo,» according to a statement from the book's publisher, wrote an essay about Launch Complexes 40 and 41, two locations that had great significance in the early days
of human spaceflight and that have been repurposed for new
phases of human spaceflight.
This is because its low temperature and high
phase -
space density make coherent stimulated emission possible: in an ordinary thermal gas
of Ps, the Doppler shifts
of the atoms would suppress lasing action.