If time, space, and energy are secondary features derived from a substrate below the Planck scale, then Einstein's hypothetical algebraic system might resolve the EPR paradox ( although Bell's theorem would still be valid ).

If each of two hypothetical experimenters, Alice and Bob, has one of the particles that form an entangled pair, and Alice measures the spin of her particle, the measurement will be entirely unpredictable, with a 50 % probability of the spin being up or down.

If we apply the run-length encoding ( RLE ) data compression algorithm to the above hypothetical scan line, we get the following:

If a hybrid isolation model is assumed, it can be estimated that the hypothetical admixture event occurred about 126 generations ago, or 2520 years ago assuming 20 years per generation.

") or a hypothetical one (" If one were to build an unobtainium shell around a black hole's event horizon, what would happen to the material piling up on it?

If the hypothetical monkey has a typewriter with 90 equally likely keys that include numerals and punctuation, then the first typed keys might be " 3. 14 " ( the first three digits of pi ) with a probability of ( 1 / 90 )< sup > 4 </ sup >, which is 1 / 65, 610, 000.

If he means coureloms and mammoths separately, then he is not specifically saying that mammoths existed on the American continent at that time, seeing as all the animals are meant as hypothetical examples of what the Jaredites might have brought in their barges.

If hypothetical mirror matter exists, Zurab Silagadze proposes that demons can be envisaged, " which can act like perpetuum mobiles of the second kind: extract heat energy from only one reservoir, use it to do work and be isolated from the rest of ordinary world.

If Beatrice died childless, the crown would pass to other hypothetical younger sisters, and if not, the crown would pass to John I of Castile, and through him to his son Henry, thus disinheriting the line of Inês de Castro.

When Achilles demands that " If you accept A and B and C, you must accept Z ," the Tortoise remarks that that's another hypothetical proposition, and suggests even if it accepts C, it could still fail to conclude Z if it did not see the truth of:

Bertrand Russell discussed the paradox briefly in § 38 of The Principles of Mathematics ( 1903 ), distinguishing between implication ( associated with the form " if p, then q "), which he held to be a relation between unasserted propositions, and inference ( associated with the form " p, therefore q "), which he held to be a relation between asserted propositions ; having made this distinction, Russell could deny that the Tortoise's attempt to treat inferring Z from A and B is equivalent to, or dependent on, agreeing to the hypothetical " If A and B are true, then Z is true.

If moral claims are false because they have this implication, then so too are hypothetical imperatives.

If premises are left unsatisfied in the derivation, then the derivation is a proof of a hypothetical statement: " if the premises hold, then the conclusion holds.

If the apparatus is motionless with respect to the hypothetical aether, the difference in time that it takes light to traverse the longitudinal and transverse arms is given by:

If we can line up the two sequences using a sequence alignment algorithm such that the mutations required to transform a hypothetical ancestor sequence into both of the current sequences would be evolutionarily plausible, then we'd like to assign a high score to the comparison of the sequences.

In his supposedly hypothetical memoir If I Did It, Simpson describes Brown as having a dual personality -- one caring and another reflexively hostile.

They can range from completely fantastical situations (“ If you had definitive proof that one particular religion was the true religion, should you reveal it to society ?”) to unlikely occurrences (“ Should you kill one person to save five other people ?”) to dilemmas we face every day (“ You see a homeless person on the street, should you give him money you have in your pocket ?”) The infinite number of hypothetical situations that can give rise to moral dilemmas make many moral hypothetical cases unique.

If this star does have a companion, astrometric measurements appear to place an upper bound of 3 – 12 times the mass of Jupiter on such a hypothetical object ( for orbital periods in the range of 5 – 50 years ).

A categorical proposition contains a subject and predicate where the existential impact of the copula implies the proposition as referring to a class with at least one member, in contrast to the conditional form of hypothetical or materially implicative propositions, which are compounds of other propositions, e. g. If P, then Q, where P and Q are both propositions, and their existential impact is dependent upon further propositions where in quantification existence is instantiated ( existential instantiation ).

If the hypothetical axions exist, they may be produced in the Sun's core when X-rays scatter off electrons and protons in the presence of strong electric fields.

If a carrier does not have this right, then on a hypothetical service from Paris to Kolkata via Mumbai, it could not allow passengers to board in Mumbai and fly to Kolkata ; only passengers who boarded in Paris could be carried on to Kolkata.

If a hypothetical nucleus is too small ( known as an unstable nucleus or " embryo "), the energy that would be released by forming its volume is not enough to create its surface, and nucleation does not proceed.

If the data does not, on average, arrive faster than it is needed, any blockages on the connection will be cumulative ; " dropping " one bit every minute on a hypothetical connection with a 60-bit buffer would lead to a buffer underrun if the connection remained active for an hour.

If a broader Atlantic community is to be formed -- and my own judgment is that it lies within the realm of both our needs and our capacity -- a ready nucleus of machinery is at hand in the NATO alliance.

If the cell is growing rapidly, each complex also needs to transport about 6 newly assembled large and small ribosomal subunits per minute from the nucleus to the cytosol, where they are used to synthesize proteins.

The well-known historian of physics, C. P. Snow, says about him, " If Fermi had been born a few years earlier, one could well imagine him discovering Rutherford's atomic nucleus, and then developing Bohr's theory of the hydrogen atom.

If the chemistry is right, the organism ( or fragment of organism ) can act as a nucleus for the precipitation of minerals such as siderite, resulting in a nodule forming around it.

If no additional energy is supplied by any other mechanism, the nucleus will not fission, but will merely absorb the neutron, as happens when U-238 absorbs slow and even some fraction of fast neutrons, to become U-239.

If the x-ray reveals a nucleus, the pearl is likely a bead-nucleated saltwater pearl.

If no nucleus is present, but irregular and small dark inner spots indicating a cavity are visible, combined with concentric rings of organic substance, the pearl is likely a cultured freshwater.

If the plum-pudding model were correct, the positive " pudding ", being more spread out than in the current model of a concentrated nucleus, would not be able to exert such large coulombic forces, and the alpha particles should only be deflected by small angles as they pass through.

If two light nuclei fuse, they will generally form a single nucleus with a slightly smaller mass than the sum of their original masses ( though this is not always the case ).

If the potential energy is set to zero at infinite distance from the atomic nucleus or molecule, the usual convention, then bound electron states have negative potential energy.

If these neutrons are captured by another unstable nucleus, they can fission as well, leading to a chain reaction.

# If the cell has a nucleus, the RNA is further processed ( addition of a 3 ' poly-A tail and a 5 ' cap ) and exits through to the cytoplasm through the nuclear pore complex.

If, for example, a pair of atomic nuclei are merged to very briefly form a nucleus with a charge greater than about 140, ( that is, larger than about the inverse of the fine structure constant, which is a dimensionless quantity ), the strength of the electric field will be such that it will be energetically favorable to create positron-electron pairs out of the vacuum or Dirac sea, with the electron attracted to the nucleus to annihilate the positive charge.

If the mucus remains inside the tumor cell, it pushes the nucleus at the periphery-" signet-ring cell.

If this is the case, there must be a population of objects not beamed towards us, and, since we know the lobes are not affected by beaming, they would appear as radio galaxies, provided that the quasar nucleus is obscured when the source is seen side-on.

If the mucus remains inside the tumor cell, it pushes the nucleus to the periphery-" signet-ring cell ".

If an atom is moving in a magnetic field, the Lorentz force will act in opposite directions on the nucleus and the electrons, just as an electric field does.

If the charge areas were positive, a widely extending patch is seen on the plate, consisting of a dense nucleus, from which branches radiate in all directions.

If the plate receives a mixture of positive and negative charges as, for example, from an induction coil, a mixed figure results, consisting of a large red central nucleus, corresponding to the negative charge, surrounded by yellow rays, corresponding to the positive charge.

If at least one neutron from U-235 fission strikes another nucleus and causes it to fission, then the chain reaction will continue.

If a female is exposed to excess androgen during the prenatal period, the sexual dimorphism does not occur in Onuf ’ s nucleus.

If at least one neutron from the U-235 fission strikes another nucleus and causes it to fission, then the chain reaction will continue.

If we consider the sum of the following five types of energies, then the picture of a nucleus as a drop of incompressible liquid roughly accounts for the observed variation of binding energy of the nucleus: