However, quantum mechanics does not pinpoint the exact values of a particle's position and momentum ( since they are conjugate pairs ) or its energy and time ( since they too are conjugate pairs ); rather, it only provides a range of probabilities of where that particle might be given its momentum and momentum probability.

However, in England and Wales, the Magistrates ' Courts Act 1980, s. 101 stipulates that where a defendant relies on some " exception, exemption, proviso, excuse or qualification " in his defence, the legal burden of proof as to that exception falls on the defendant, though only on the balance of probabilities.

However if the kets in the mixture are orthonormal then the original probabilities p < sub > j </ sub > are recoverable as the eigenvalues of the density matrix.

However, trying to enforce a purely classical description represents a projection into a much bigger space, made possible presumably by probabilities supplied by environmental decoherence.

However, these probabilities only hold when the UUIDs are generated using sufficient entropy.

However, in this study the probabilities used to make this claim are based on the assumption that the position of each tooth was independent of all the others.

However, judgments by representativeness only look at the resemblance between the hypothesis and the data, thus inverse probabilities are equated:

However, most bayesian spam detection software makes the assumption that there is no a priori reason for any incoming message to be spam rather than ham, and considers both cases to have equal probabilities of 50 %:

However with ( for example ) Paul Graham's scheme only the most significant probabilities are used, so that padding the text out with non-spam-related words does not affect the detection probability significantly.

However, the episodic free recall probabilities were significantly different across the groups.

However, it is easy to enumerate every combination and to assign a relative probability to each one, by multiplying together the probabilities of each choice in turn.

However, a single, particular observation of the cat does not measure the probabilities: it always finds either a living cat, or a dead cat.

However, it is sometimes debatable whether prior knowledge should affect the relative probabilities, or also the total weight of the prior knowledge compared to actual observations.

However, since mRMR turned a combinatorial problem as a series of much smaller scale problems, each of which only involves two variables, the estimation of joint probabilities is much more robust.

However mathematician Jeffrey Shallit has rebutted this claim, stating that " Medawar ’ s ' law ' is not the same as Dembski ’ s " in that Medawar " makes no mention of probabilities or the name Shannon ", and that " Medawar ’ s law, by the way, can be made rigorous, but in the context of Kolmogorov information, not Shannon information or Dembski ’ s ' complex specified information '.

However, further analysis of the bias has shown that both forms occur: When judging from description people tend to overestimate the described probability, so this effect taken alone would indicate that reading the extinction scenarios described here should make the reader overestimate the likelihood of any probabilities given.

However, Newman maintained that in concrete life formal incontrovertible proof in favor of a decision is not possible — the best one can achieve is converging probabilities in favor of a conclusion.

However, if there is circumstantial evidence that would lead a reasonable person to believe that the individual is deceased on the balance of probabilities, jurisdictions may agree to issue death certificates without any such order.

However, given appropriate prior knowledge, that sum should be increased in proportion to the expectation that the prior probabilities should be considered correct, despite evidence to the contrary — see further analysis.

However, universal codes are useful when Huffman coding cannot be used — for example, when one does not know the exact probability of each message, but only knows the rankings of their probabilities.

However, these are not probabilities in the ordinary sense, because they are not real numbers, but rather elements of the complete Boolean algebra B.

However, the universe is also cooling down, meaning that the average energy per particle is getting smaller with time.

However, an open disk is not compact, because a sequence of points can tend to the boundary without getting arbitrarily close to any point in the interior.

However, a defect in the capsule's hatch latching mechanism caused difficulties opening and closing the hatch, which delayed the start of the EVA and put White and his crewmate at risk of not getting back to Earth alive.

However, as a used item in a pawnshop, it will only fetch $ 250 and $ 300, because the customers will be wary that it might be a " lemon " that the seller is getting rid of because it has some hard-to-detect problem.

However, by repeatedly initializing, running and measuring the quantum computer, the probability of getting the correct answer can be increased.

However, there has been little luck in getting closer to the true answer, especially because there are almost 10 million years worth of fossil records missing.

However, it becomes clear that Gowron is simply worried about Martok getting too powerful politically, and intends to lower Martok's standing by sending him into battles that he cannot win.

However, it would be impossible to attain this full-employment target using only demand-side Keynesian stimulus without getting below the NAIRU and suffering from accelerating inflation ( absent incomes policies ).

However, Ulf alienated Cnut by getting the Danish provinces to acknowledge Harthacnut as king without reference to Cnut's overall authority and by failing to take vigorous measures to meet Norwegian and Swedish invasions, instead waiting for Cnut's assistance.

However, Plato himself and Greeks had copied 1, 500 older Egyptian fraction abstract unities, one being a hekat unity scaled to ( 64 / 64 ) in the Akhmim Wooden Tablet, thereby not getting lost in fractions.

However, abstaining from hallucinogenic drugs, managing stress levels, living healthily, and getting plenty of sleep can help reduce the prevalence of hallucinations.

However, the requirement for saying that a rail line is " separated " can be quite low — sometimes just with concrete " buttons " to discourage automobile drivers from getting onto the tracks.

However, as Iwerks began to draw more and more cartoons on a daily basis, he soon found himself unable to cope under Disney's harsh command ; Iwerks also felt he wasn't getting the credit he deserved for drawing all of Walt's successful cartoons.

However, once the attack is consistently getting through, it should be slowed down again, so that the defender can identify his mistake, or " hole " in the defense.

However obstacles reside in some countries in getting full employment, also public perception of disabled people may vary in areas.

However, this definition of an account fails as by getting to know the differentness of an object, you have to acquire knowledge about it.

However if someone offered you odds of 10 to 1 that a card chosen at random from a regular 52 card deck would be the ace of spades, then you would be getting " the worst of it " because the chance is only 1 in 52 that the ace will be chosen.

However the machine also took considerable time decoding the vector instructions and getting ready to run the process, so it required very specific data sets to work on before it actually sped anything up.

However, Toyota employees complained about the difficulty in getting smaller orders of large format NiMH batteries to service the existing 825 RAV-4EVs.

However, P ' yongyang ultimately lacked confidence in getting simultaneous help from Beijing and Moscow.

However the others set up a surgery to treat the native islanders and Rivers, lying in bed next-door tested the patients for colour vision: Haddon's diary noted " He is getting some interesting results .” The warmth shown to the sickly Rivers by the Islanders contributed to strong positive feelings for the work and a deep concern for the welfare of Melanesians during the remainder of his life .”

However the program has been beset by problems getting the rice into the hands of farmers, and to date the only success has been in Guinea where it currently accounts for 16 % of rice cultivation.

However, more virtuous souls receive assistance, the most virtuous getting passage on the " Number Nine " train (" Double N ") that cuts the journey down to four minutes.

However, Asquith was not as successful as his successor as Chancellor David Lloyd George in getting reforms through Parliament as the House of Lords still had a veto over legislation at that stage.