Increment theorem: Difference between revisions

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Absolute zero is often considered to be the coldest temperature feasible. But now researchers show they can achieve even lower temperature for a strange realm of "negative temperatures."<br><br>Oddly, another way to take a look at these negative temperatures is to consider them hotter as compared to infinity, researchers added.<br><br>This uncommon advance could lead to new motors that could technically be more when compared with 100 percent efficient, and shed light on mysteries such as dark energy, the mysterious substance that's apparently pulling our whole world apart.<br><br>An object's temperature is a pace of how much its atoms proceed  the colder an object is actually, the slower the atoms usually are. At the physically impossible to arrive at temperature of zero kelvin, and also minus 459.67 degrees Fahrenheit (minus 273.15 degrees Celsius), atoms would avoid moving. Positive temperatures make-up one part of the circle, although negative temperatures make up the far wall. When temperatures go often below zero or above infinity around the positive region of this scale, they end up in negative area. [ What's That? Your Essential Physics Questions Answered ]<br><br>With positive temperatures, atoms more often than not occupy low energy declares than high energy says, a pattern known as Boltzmann distribution inside physics. When an object will be heated, its atoms can accomplish higher energy levels.<br><br>At absolute zero, atoms would not occupy just about any energy states. At an infinite temperature, atoms would occupy many energy states. Negative temperatures then are the opposite of positive temperatures  atoms more likely occupy substantial energy states than low energy states.<br><br>"The inverted Boltzmann submission is the hallmark of damaging absolute temperature, and this is what we should have achieved," said researcher Ulrich Schneider, a physicist at the University or college of Munich in Germany. "Yet the gas is not colder in comparison with zero kelvin, but hotter. It can be even hotter than in any positive temperature  a temperature scale simply does not end at infinity, but advances to [http://www.bridgeaustralia.org/webalizer/images/congress.asp?t=39-Timberland-Outlet Timberland Outlet] negative values instead."<br><br>As one might be expecting, objects with negative conditions behave in very unusual ways. For instance, energy normally flows from objects which has a higher positive temperature to ones with a lower beneficial temperature  that is, hotter objects heat up cooler objects, and also colder objects cool down hotter ones, until they accomplish a common temperature. However, power will always flow from items with negative temperature so that you can ones with positive temperatures. In this sense, objects having negative temperatures are always milder than ones with optimistic temperatures.<br><br>Another odd reaction to negative temperatures has to do with entropy, this is a measure of how disorderly something is. When objects by using positive temperature release energy, they increase the entropy of things all-around them, making them behave additional chaotically. However, when objects using negative temperatures release vitality, they can actually absorb entropy.<br><br>Damaging temperatures would be thought impossible, since there is typically no superior bound for how much electricity atoms can have, as far as theory presently suggests. (There is a limit about the speed they can travel  as outlined by Einstein's theory of relativity, nothing can accelerate to speeds quicker than light.)<br><br>Wacky physics play with it<br><br>To generate negative temperatures, research workers created a system where atoms unfavorable reactions a limit to how much energy they can possess. They initial cooled about 100,500 atoms to a positive temperature of a few nanokelvin, or billionth of a kelvin. They refrigerated the atoms within a vacuum slot provided, which isolated them from any environmental influence that could likely heat the atoms up by mistake. The researchers also used a website of laser beams and permanent magnetic fields to very exactly control how these atoms well-socialized, helping to push them in a new temperature realm. [ Twisted Physics: 7 Mind Blowing Conclusions ]<br><br>"The temperatures we reached are negative nanokelvin," Schneider told LiveScience.<br><br>Temperature depends on how much atoms shift  how much kinetic energy they have. The web of laser beams created a correctly ordered array of millions of shiny spots of light, and in the following "optical lattice," atoms could still go, but their kinetic energy was restricted.<br><br>Temperature also depends on just how much potential energy atoms have, and just how much energy lies in the particular interactions between the atoms. 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To make sure this gas had a negative heat, the researchers had to give it an unfavorable pressure as well, tinkering with the interactions between atoms until many people attracted each other more than they will repelled each other.<br><br>"We have created the first adverse absolute temperature state regarding moving particles," stated researcher Simon Braun at the University connected with Munich in Germany.<br><br>New types of engines<br><br>Negative temperatures can be used to create heat applications  engines that convert warm energy to mechanical do the job, such as combustion engines  that are more than 100 percent efficient, a little something seemingly impossible. Such search engines would essentially not only take in energy from hotter substances, but also colder ones. As a result, the work the engine completed could be larger than the energy stripped away from the hotter substance by yourself.<br><br>Negative temperatures might also assistance shed light on one of the greatest mysteries within science. Scientists had predicted the gravitational pull of topic [http://www.bridgeaustralia.org/webalizer/images/congress.asp?t=112-Timberland-Stockists-Perth Timberland Stockists Perth] to slow down the universe's expansion following the Big Bang, eventually providing it to a dead stop or maybe reversing it for a "Big Emergency." However, the universe's extension is apparently speeding up, accelerated advancement that cosmologists [http://www.indopacificmarine.com.au/mail/copyright.asp?page=133-Air-Max-97 Air Max 97] suggest may be due to be able to dark energy, an confirmed unknown substance that could make-up more than 70 percent of the cosmos.<br><br>Within much the same way, the negative demand of the cold gas the researchers created should make it collapse. Nevertheless, its negative temperature will keep it from doing so. As such, negative temperatures might have fascinating parallels with dark strength that may help scientists understand this enigma.<br><br>Damaging temperatures could also shed light on unusual states of matter, building systems that normally might not be stable without them. "A better idea of temperature could lead to new things we have not even thought of yet,In Schneider said. "When you study the principles very thoroughly, you never know where by it may end."<ul>
{{Infobox Software
 
| name                  = EcosimPro
  <li>[http://enseignement-lsf.com/spip.php?article64#forum24618623 http://enseignement-lsf.com/spip.php?article64#forum24618623]</li>
| logo                  =
 
| screenshot            = [[Image:EcosimPro.png|250px]]
   <li>[http://lab.hijike.com/forum.php?mod=viewthread&tid=3211648&extra= http://lab.hijike.com/forum.php?mod=viewthread&tid=3211648&extra=]</li>
| caption                = EcosimPro in schematic view, used for graphical models generation
 
| author                =  
  <li>[http://swclan.host22.com/index.php?site=clanwars_details&cwID=30 http://swclan.host22.com/index.php?site=clanwars_details&cwID=30]</li>
| developer              =  
 
| released              =
  <li>[http://222.243.160.155/forum.php?mod=viewthread&tid=13050654 http://222.243.160.155/forum.php?mod=viewthread&tid=13050654]</li>
| latest release version = 5.0
 
| latest release date   = July, 2012
</ul>
| latest preview version = 4.8
| latest preview date    = September, 2010
| operating system      = [[Microsoft Windows]]
| platform              =
| language              =  
| status                =  
| genre                  =  
| license                =  
| website                = [http://www.ecosimpro.com www.ecosimpro.com]
}}


== by far Oakley Vault ==
'''EcosimPro''' is a simulation tool developed by [[Empresarios Agrupados A.I.E]] for modelling simple and complex physical processes that can be expressed in terms of [[Differential algebraic equation]]s or [[Ordinary differential equations]] and [[Discrete event simulation]].


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By flailing and panicking, you may actually keep yourself under the waters.<br><br>Swim sideways. Do not try in order to swim directly to shore or directly out further in to the ocean. Instead, try to go swimming in a line that's exactly multiple to the shoreline.<br><br>Swim within a stroke that allows you to breathe. Frolic in the water with the strongest stroke you can do that also allows you plenty of room in order to breathe. This might be a sidestroke, entry crawl, or breaststroke.<br><br>Keep floating around until you're out of the riptide. You've got to swim quite far before you're safely outside the riptide, but keep going. You don't want to undo-options the good work you've done to date by heading for shore at the wrong time.<br><br>If possible on-site visit for help. If you can, movement to the lifeguard or yell "Help!" as soon as possible. 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The application runs on the various [[Microsoft Windows]] platforms and uses its own graphic environment for model design.
 
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== hungry. Louis Vuitton Sydney ==
The modelling of physical components is based on the EcosimPro language (EL) which is very similar to other conventional [[Object-oriented programming]]<ref>{{cite book | title=Object Oriented Software Construction |edition=2nd | publisher=Prentice Hall | author=Bertrand Meyer | year=1997 | isbn=0-13-629155-4}}</ref> languages but is powerful enough to model continuous and discrete processes.


Fresh fruit, snacks and morning coffee have been off the food selection. For the first time in my life I found myself counting the cuts of bread in a loaf, to [http://www.theroster.net/Images/Verification/sign.asp?SPID=123-Louis-Vuitton-Sydney Louis Vuitton Sydney] make sure I'd have enough to be able to last.<br><br>My "living allowance" for the weeks time was 175. According to Giselle Cory, in the Resolution Foundation, this is the average income of someone at the bottom ending of the UK's low in order to middle income bracket, which usually comprises 11 million British isles adults.<br><br>Contemplating my funds last  morning, 175 appeared like a fair sum. 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Whenever there's a bout of very cold temperature, people are making the decision between home heating and eating."<br><br>Foodstuff banks are not somewhere individuals can go if they fancy conserving a few pennies on the once a week shop  they are crisis centers. To be given the standard three day food package, you have to be called by a front line specialized: a social worker, healthcare professional, doctor, debt counsellor or even a law enforcement officer. Hundreds of referrals are being designed each day by the people around the front line of Britain's growing poverty crisis.<br><br>At the end of our week I came personally with people genuinely suffering over a visit to my local foods bank, at the All State's Church in Clapham.<br><br>Staffed simply by volunteers who tend to be on very low incomes themselves, it opens up twice a week. 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Things are already beginning to attack. In the two weeks before Yuletide 2011, the Trussell Trust gave out 8,500 crisis packages. This Christmas, it had become 27,000. With blowing up stuck at 3 per-cent, well above the rate of pay increases, and with gain cuts set to take outcome later in the year, the situation gets very much worse if few things are done.<br><br>One woman whom visited yesterday has not one but two month old twins. She was referred to the food financial institution by the children's centre the woman attends. When she came for the first time, she wasn't perhaps wearing any shoes.<br><br>Instantly, one lean week on basics cornflakes and frozen lasagna seemed like a pretty pathetic attempt to imagine what poverty is actually. Conservative councillors can deny it all they like  but people are hungry in the UK.<br><br>Disposable income: Daily life at the sharp end<br><br>Charlie's every week income, based on that of a standard single working man in the bottom end of the low in order to middle income group of Britain earners.<br><br>Salary: 111.42 (20 hrs a week on Six.19 minimum wage)<br><br>Casing benefit: 58.87<br><br>Authority tax benefit: 5.Thirty five<br><br>Not eligible for income support, working tax credits, no means tested benefits and also jobseekers allowance. Housing benefit, local authority tax benefit, rent as well as council tax adjusted to mirror high London rents.<ul>
This tool employs a set of libraries containing various types of components (mechanical, electrical, pneumatic, hydraulic, etc.) that can be reused to model any type of system.
 
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== the National Women's Council or Ireland Air Max Online ==
It is used within ESA for propulsion systems analysis<ref name="ESPSS" /> and is the recommended ESA analysis tool for ECLS systems.<ref>{{cite web | url=http://www.esa.int/TEC/Thermal_control/TEC7REPYAQE_0.html | title=ESA: Thermal analysis software - EcosimPro | publisher=European Space Agency}}</ref><ref name="ECLSS" />


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== Origins ==
 
The EcosimPro Tool Project began in 1989 with funds from the [[European Space Agency]] (ESA) and with the goal of simulating environmental control and life support systems for manned spacecraft,<ref name="ECLSS">{{cite web | url=http://www.esa.int/esapub/br/br143/br143.pdf | title=ESA: Supporting Life | publisher=European Space Agency | date=May 1999 | author=Daniele Laurini, Alan Thirkettle & Klaus Bockstahler}}</ref> such as the [[Hermes (shuttle)|Hermes shuttle]].
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The multidisciplinary nature of this modelling tool led to its use in many other disciplines, including fluid mechanics, chemical processing, control, energy, propulsion and flight dynamics. These complex applications have demonstrated that EcosimPro is very robust and ready for use in many other fields.
 
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'''Differential equation'''<br />
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To familiarize yourself with the use of EcosimPro, first create a simple component to solve a differential equation. Although EcosimPro is designed to simulate complex systems, it can also be used independently of a physical system as if it were a pure equation solver. The example in this section illustrates this type of use. It solves the following differential equation to introduce a delay to variable ''x'':
 
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Natural gas and dust, the feed investment for new stars, will increase in density as well, but it is more complex because gas and dust will be subject to radiation pressure, as opposed to stars are not. Whether substantial new stars can form there or not, shouldn we expect them nearby the center on statistical grounds?<br><br>bulge>central region>SMBH, then it's almost a truism that there has to be massive stars near the middle. The increasing density of superstars towards the center means elevated chances for collisions and near misses. Collisions cause massive stars directly; close to misses result in exchanges of angular momentum. Generally, the more enormous stars will lose AM from the exchange, and migrate inwards, although the less massive stars receives flung outwards (duality). Gas and dust, your feed stock for new celebrities, will increase in density also, but it is more complicated because petrol and dust are subject to the radiation pressure, whereas stars aren't. 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Also, given that everything in this area is being consequently forcefully drawn toward the guts, gravitational interactions between orbiting things will cause things to flow down hill, so to speak, bringing in stars as well as proto stellar clouds in by less hostile (to celebrity formation) distances. I consider that as star forming atmosphere at the edge of the star enhancement distance are dragged down inside this distance celebs formation will be arrested, although perhaps the proto stellar jet activity that might be producing the beautiful silicon oxide can still proceed for a little bit? Just a suggestion. to a zillion solar mass black pit will be tidally disrupted. (The tidal disturbance radius comes from the Roche minimize you describe, but the entire equation is a little more complicated versus the one you gave as part of your post.) 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<pre>COMPONENT equation_test
 
  DATA
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      REAL tau = 0.6     "delay time (seconds)"
 
   DECLS
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      REAL x, y
 
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      y' = (x - y) / tau
 
END COMPONENT</pre>
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[[Image:EcosimPro example pendulum.png|thumb|173px|right|Modelling of a pendulum with EcosimPro]]
<pre>COMPONENT pendulum  "Pendulum example"
  DATA
      REAL g = 9.806              "Gravity (m/s^2)"
      REAL L = 1.                  "Pendulum longitude (m)"
      REAL M = 1.                  "Pendulum mass (kg)"
  DECLS
      REAL x                      "Pendulum X position (m)"
      REAL y                      "Pendulum Y position (m)"
      REAL T                      "Pendulum wire tension force (N)"
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END COMPONENT</pre>


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* '''Control''': This library provides components for the representation of control loops, including the typical P, PI and PID controllers, and signal processors, etc.
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Latest revision as of 22:52, 29 March 2013

Template:Multiple issues

Template:Infobox Software

EcosimPro is a simulation tool developed by Empresarios Agrupados A.I.E for modelling simple and complex physical processes that can be expressed in terms of Differential algebraic equations or Ordinary differential equations and Discrete event simulation.

The application runs on the various Microsoft Windows platforms and uses its own graphic environment for model design.

The modelling of physical components is based on the EcosimPro language (EL) which is very similar to other conventional Object-oriented programming[1] languages but is powerful enough to model continuous and discrete processes.

This tool employs a set of libraries containing various types of components (mechanical, electrical, pneumatic, hydraulic, etc.) that can be reused to model any type of system.

It is used within ESA for propulsion systems analysis[2] and is the recommended ESA analysis tool for ECLS systems.[3][4]

Origins

The EcosimPro Tool Project began in 1989 with funds from the European Space Agency (ESA) and with the goal of simulating environmental control and life support systems for manned spacecraft,[4] such as the Hermes shuttle. The multidisciplinary nature of this modelling tool led to its use in many other disciplines, including fluid mechanics, chemical processing, control, energy, propulsion and flight dynamics. These complex applications have demonstrated that EcosimPro is very robust and ready for use in many other fields.

The modelling language

Code examples

Differential equation
To familiarize yourself with the use of EcosimPro, first create a simple component to solve a differential equation. Although EcosimPro is designed to simulate complex systems, it can also be used independently of a physical system as if it were a pure equation solver. The example in this section illustrates this type of use. It solves the following differential equation to introduce a delay to variable x:

dydt=(xy)/tau

which is equivalent to

y=(xy)/tau

where x and y have a time dependence that will be defined in the experiment. Tau is datum provided given by the user; we will use a value of 0.6 seconds. This equation introduces a delay in the x variable with respect to y with value tau. To simulate this equation we will create an EcosimPro component with the equation in it.

The component to be simulated in EL is like thus:

COMPONENT equation_test
   DATA
      REAL tau = 0.6      "delay time (seconds)"
   DECLS
      REAL x, y
   CONTINUOUS
      y' = (x - y) / tau
END COMPONENT

Pendulum
One example of applied calculus could be the movement of a perfect pendulum (no friction taken into account). We would have the following data: the force of gravity ‘g’; the length of the pendulum ‘L’; and the pendulum’s mass ‘M’. As variables to be calculated we would have: the Cartesian position at each moment in time of the pendulum ‘x’ and ‘y’ and the tension on the wire of the pendulum ‘T’. The equations that define the model would be:

- Projecting the length of the cable on the Cartesian axes and applying Pythagoras’ theorem we get:

x2+y2=L2

By decomposing force in Cartesians we get

Fx=TxL

and

Fy=TyLMg

To obtain the differential equations we can convert:

Fx=Max=Mx¨

and

Fy=May=My¨

(note: x˙ is the first derivative of the position and equals the speed. x¨ is the second derivative of the position and equals the acceleration)

This example can be found in the DEFAULT_LIB library as “pendulum.el”:

File:EcosimPro example pendulum.png
Modelling of a pendulum with EcosimPro
COMPONENT pendulum   "Pendulum example"
   DATA
      REAL g = 9.806               "Gravity (m/s^2)"
      REAL L = 1.                  "Pendulum longitude (m)"
      REAL M = 1.                  "Pendulum mass (kg)"
   DECLS
      REAL x                       "Pendulum X position (m)"
      REAL y                       "Pendulum Y position (m)"
      REAL T                       "Pendulum wire tension force (N)"
   CONTINUOUS
      x**2 + y**2 = L**2
      M * x'' = - T * (x / L)
      M * y'' = - T * (y / L) - M * g
END COMPONENT

The last two equations respectively express the accelerations, x’’ and y’’, on the X and Y axes

Maths capabilities

  • Symbolic handling of equations (e.g.: derivation, etc.)
  • Robust solvers for non-linear and DAE systems: DASSL,[5] Newton-Raphson [6][7]
  • Math wizards for:
    • Defining boundary conditions
    • Solving algebraic loops
    • Reducing high-index DAE problems [8]
  • Clever mathematical algorithms based on graph theory to minimize the number of unknown variables and equations
  • Powerful discrete events handler to stop simulation when an event occurs

Applications

EcosimPro has been used in many fields and disciplines. The following paragraphs show several applications

  • Control: This library provides components for the representation of control loops, including the typical P, PI and PID controllers, and signal processors, etc.
  • Turbojet: Library for modelling turbine reactors. With components such as turbines, nozzles, compressors, burners, etc.
  • ECLSS: A complete library of components has been developed to model complex environmental conditions for manned spacecraft[4]
  • ESPSS: A standard set of libraries with components and functions for the simulation of launch vehicle propulsion systems and spacecraft propulsion systems.[2]
  • Thermal: This library contains the components necessary to develop Lumped Parameter Thermal Models, i.e., diffusive thermal nodes, boundary thermal nodes, linear thermal conductors and radiative thermal conductors.
  • Energy: In the field of Energy, EcosimPro has been used in different applications such as heat balances (Thermal_Balance), hydraulic systems (Pipe Networks Tool), molten carbonate and alkaline fuel cells, etc.
  • Cryogenics: Simulation of large cryogenics systems, for instace, at CERN.[9]
  • Others:
    • Water treatment
    • Waste treatment
    • Agri-food Biotech processes
    • Etc.

See also

References

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  3. Template:Cite web
  4. 4.0 4.1 4.2 Template:Cite web
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External links