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Page "Big Crunch" ¶ 1
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If and entropy
# If adiabats and isotherms are graphed severally at regular changes of entropy and temperature, respectively ( like altitude on a contour map ), then as the eye moves towards the axes ( towards the south-west ), it sees the density of isotherms stay constant, but it sees the density of adiabats grow.
If there is a change in the potential energy of a system ; for example μ < sub > 1 </ sub >> μ < sub > 2 </ sub > ( μ is Chemical potential ) an energy flow will occur from S < sub > 1 </ sub > to S < sub > 2 </ sub >, because nature always prefers low energy and maximum entropy.
If one throws a hot gas with entropy into a black hole, once it crosses the horizon, the entropy would disappear.
If black holes have a finite entropy, they should also have a finite temperature.
If is the set of all messages that could be, and is the probability of given some, then the entropy of is defined:
If the overall system is pure, the entropy of one subsystem can be used to measure its degree of entanglement with the other subsystems.
If the approximate entropy characteristics of a data stream are known in advance ( especially for signal compression ), a simpler static code may be useful.
If black holes carried no entropy, it would be possible to violate the second law by throwing mass into the black hole.
If a mole of substance were at 0 K, then warmed by its surroundings to 298 K, its total molar entropy would be the addition of all N individual contributions:
If we start from the BET isotherm and assume that the entropy change is the same for liquefaction and adsorption we obtain
If entropy increases as the particle number increases, then chemical potential will decrease.
: If the entropy of each element in some ( perfect ) crystalline state be taken as zero at the absolute zero of temperature, every substance has a finite positive entropy ; but at the absolute zero of temperature the entropy may become zero, and does so become in the case of perfect crystalline substances.
If the reaction is performed under warm or hot conditions ( which favor an increase in entropy ), E1 elimination is likely to predominate, leading to formation of an alkene.
If gas A and B are different gases, there is an entropy that arises due to the mixing.
If the gases are the same, no additional entropy is calculated.
If ever an experiment is performed with these gases that yields incorrect results, we will certainly have discovered a method of detecting their difference and recalculating the entropy increase when the partition is removed.
If we assume that there is in fact no experimentally detectable difference in these " exchange macrostates " available, then using the entropy which results from assuming the particles are indistinguishable will yield a consistent theory.
If black holes carried no entropy, it would be possible to violate the second law by throwing mass into the black hole.
If one only considers black holes classically, then they have zero temperature and, by the no hair theorem, zero entropy, and the laws of black hole mechanics remain an analogy.
If Shannon entropy is viewed as a signed measure in the context of information diagrams, as explained in the article Information theory and measure theory, then the only definition of multivariate mutual information that makes sense is as follows:
If free energies are very useful in equilibrium thermodynamics, it must be stressed that there is no general law defining stationary non-equilibrium properties of the energy as is the second law of thermodynamics for the entropy in equilibrium thermodynamics.

If and continues
If the retailer and hotelman's downtown unit sales have been decreasing, however, his dollar volume continues to rise, and it is dollars which you put in the bank.
If it continues indefinitely it is nearly a statistical certainty that a mistake will be made and that the devastation will begin ''.
If the anchor continues to drag, or sets after having dragged too far, it should be retrieved and moved back to the desired position ( or another location chosen.
If the score reaches 20-all, then the game continues until one side gains a two point lead ( such as 24 – 22 ), up to a maximum of 30 points ( 30 – 29 is a winning score ).
If the expansion of the Universe continues to accelerate, there is a future horizon as well.
If the completed instruction was a jump, the program counter will be modified to contain the address of the instruction that was jumped to, and program execution continues normally.
If the player either hits the ball through the correct hoop (" runs " the hoop ), or hits another ball ( a " roquet "), the turn continues.
If a nation continues on this path without resistance, Gini claimed the nation would enter a final decadent stage where the nation would degenerate as noted by decreasing birth rate, decreasing cultural output, and the lack of imperial conquest.
If volcanic activity continues, the centre of the caldera may be uplifted in the form of a resurgent dome such as is seen at Cerro Galán, Lake Toba, Yellowstone, and so on, by subsequent intrusion of magma.
If hypertonic therapy continues or is too rapid, the extracellular tonicity will continue to drive water out of the brain's cells, leading to cellular dysfunction and the condition of central pontine myelinolysis.
If the third layer is placed so that its atoms are directly above those of the first layer, the stacking will be ABA — this is the hcp structure, and it continues ABABABAB.
If the Flynn effect has ended in developed nations, then this may possibly allow national differences in IQ scores to diminish if the Flynn effect continues in nations with lower average national IQs.
If the entity responsible for printing a currency promotes excessive money printing, with other factors contributing a reinforcing effect, hyperinflation usually continues.
If this continues far enough, the working end passes into the knot and the knot unravels and fails.
If the input has no syntax errors, the parser continues with these steps until all of the input has been consumed and all of the parse trees have been reduced to a single tree representing an entire legal input.
If the trend continues, more than half the forest that existed when Papua New Guinea became independent from Australia in 1975 will be gone by 2021.
If any goal fails in the course of executing the program, all variable bindings that were made since the most recent choice-point was created are undone, and execution continues with the next alternative of that choice-point.
If the football passes through your goal line, but ends up elsewhere due to further jumps, the game continues.
If the bucket's spinning is stopped then the surface of the water remains concave as it continues to spin.
If the trickery continues, we will be forced to unmask them, all of them, before the French public.
" Sharpless continues, " If she still loves me, if she awaits me, I place myself in your hands so that you may carefully and considerately prepare her …" Butterfly exclaims, " He is coming!
If there are no remaining input bits, the encoder continues output until all registers have returned to the zero state.
If aggradation continues to occur in the main channel, this will make levee overtopping more likely again, and the levees can continue to build up.
If this subsidence continues long enough the basin is called a sag basin.
If the starting number is irrational then the process continues indefinitely.

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