However, almost every aspect of chemistry can be described in a qualitative or approximate quantitative computational scheme.

However, as computational and experimental methods improved over the next decades, it became feasible to deduce reliable atomic positions for more complicated two-and three-dimensional arrangements of atoms in the unit-cell.

However, in time the demand for increased computational power ushered in the age of massively parallel systems.

However, on one test, flight threads were attached to the surface of the wings, performing a wind tunnel type of test during an actual flight in order to refine the computational model.

However, there is a proof reducing its security to the computational difficulty of the Quadratic residuosity problem.

However, by Proposition 2 of Book 1 of Euclid's Elements, no computational power is lost by using such a collapsing compass ; there is no need to transfer a distance from one location to another.

However, in proceeding with a scientific investigation of computational systems, Wolfram eventually came to the conclusion that an entirely new method is needed.

However, in general Wolfram's idea is that novel ideas and mechanisms can be discovered in the computational universe — where they can be witnessed in their clearest forms — and then other fields can pick and choose among these discoveries for those they find relevant.

However, finding this second cycle does not seem to be an easy computational task.

However, such a massively parallel implementation would require separate computational units for each of the hundred billion neurons and each of the hundred trillion synapses.

However, the actual computational requirements for running an uploaded human mind are very difficult to quantify, potentially rendering such an argument specious.

However, the time hierarchy theorems provide no means to relate deterministic and non-deterministic complexity, or time and space complexity, so they cast no light on the great unsolved questions of computational complexity theory: whether P and NP, NP and PSPACE, PSPACE and EXPTIME, or EXPTIME and NEXPTIME are equal or not.

However, the discrete logarithm problem can be used as the basis for a trapdoor when the related problems called the computational Diffie – Hellman problem ( CDH ) and / or its decisional variant are used.

However, Napalm was delayed, and in the meantime Nvidia brought out their landmark GeForce 256 chip, which shifted even more of the computational work from the CPU to the graphics chip.

However, the classification of pseudogenes generally relies on computational analysis of genomic sequences using complex algorithms.

However, since the development of computational chemistry, the LCAO method often refers not to an actual optimization of the wave function but to a qualitative discussion which is very useful for predicting and rationalizing results obtained via more modern methods.

However, one faces the problem that vertical lines give rise to unbounded values of the parameters m and b. For computational reasons, it is therefore better to use a different pair of parameters, denoted and ( theta ), for the lines in the Hough transform.

However, it has been argued ( for example by Robert Berwick ) that these extensions require parsing algorithms of a higher order of computational complexity than those used for basic CFGs.

However the latter term can also refer to systems that don't rely on unproven computational hardness assumptions.

However, as computational power has increased, numerical approaches to neutron transport have become prevalent.

However, discoveries of value cannot be made simply by providing computational tools, a Cyberinfrastructure or by performing a pre-defined set of steps to produce a result.

However, complications in both actual evolutionary processes and in the methods used to reconstruct them make the science of phylogenetics difficult, relying more and more on advanced genomics and computational and statistical methods to compliment traditional field research and morphological methods.

However, explicit filtering requires a finer grid than implicit filtering, and the computational cost increases with.

However, there are increasingly many bachelor's and master's programs in computational science.

However, no comprehensive environmental protection program has emerged, and decisions on environmental policy have been made on an ad hoc basis.

However, basis risk arises from use of an imperfect hedge, which results in significant, but range-bound principal volatility.

However, in 1774, the British Parliament passed the Quebec Act, which restored the French civil law for matters of private law ( e. g., contracts, property, successions ), while keeping the English common law as the basis for public law in the colony, notably the criminal law.

However, Aspdin's methods were " rule-of-thumb ": Vicat is responsible for establishing the chemical basis of these cements, and Johnson established the importance of sintering the mix in the kiln.

However, this unusual fission-fusion social structure, " in which portions of the parent group may on a regular basis separate from and then rejoin the rest ," is highly variable in terms of which particular individual chimpanzees congregate at a given time.

Furthermore, according to David's apologists, the death of Uriah was not to be considered murder, on the basis that Uriah had committed a capital offence by refusing to obey a direct command from the King. However, in tractate Sanhedrin, David's broken heart pleads and numerous actions for forgiveness are discussed, God ultimately forgives but would not remove his sins from Scripture.

However, Kraepelin himself noted cases in between and eventually accepted that it was not possible to distinguish his categories on the basis of cross-sectional symptoms.

However, while this can deal with existing stocks of goods, providing a basis for values can be ascertained, it does not deal with the investment in new capital stocks.

However, that would convey the idea of the physical body of people, whereas using the name of the language as the basis of the word gives it the more abstract connotation of a cultural sphere.

However, today this term has come to include " any music for which a historically appropriate style of performance must be reconstructed on the basis of surviving scores, treatises, instruments and other contemporary evidence.

" However, the anti-Arian creed from Palestine prevailed becoming the basis for the Nicene Creed.

However, few real-world applications exist in closed isolation, and it is for this reason that two or more closed systems cannot be compared using enthalpy as a basis, although sometimes this is done erroneously.

However, following a hypothesis suggested by Carington on the basis of his own findings, Soal re-analysed his data for evidence of what Carington termed displacement.

" However, as de Vries points out, the only basis for associating Forseti with justice seems to have been his name ; there is no corroborating evidence in Norse mythology.

However, Presidents Álvaro Arzú and his successors Alfonso Portillo, Óscar Berger and Álvaro Colom, have used a constitutional clause to order the army on a temporary basis to support the police in response to a nationwide wave of violent crime product of the Mexican criminal organizations going across the north-west region.

However, this idea can be understood as a basis for the following proof of the Lemma.

However, Wiesel's organization asserted there would be no legal " basis for reparations or territorial claims ", anticipating Turkish anxieties that it could prompt financial or property claims.

However, there is wide dispute whether Popper's description of " historicism " is an accurate description of Hegel, or more a reflection of his own philosophical antagonists, including Marxist-Leninist thought, then widely held as posing a challenge to the philosophical basis of the West, as well as theories such as Spengler's which drew predictions about the future course of events from the past.

However, in recent years, the Wolfhound has been adopted as a symbol by both rugby codes, which are organised on an All-Ireland basis.

However, in most Orthodox synagogues these positions are filled by laypeople on a rotating or ad-hoc basis.

However he shocked the Assembly members and Welsh public when he called for the legalization of heroin: " I have never had heroin but since I moved to London from North Wales in ' 67 I have mixed with junkies on a casual and almost daily basis ," he said.

However the basis for elements of Marxism – Leninism predate this.

However these negotiations may prove difficult in that both parties in a conflict believe that they are morally superior to the other, and are unwilling to negotiate on basis of moral equivalence.

However, the Soviet Union, and later Russia, have constructed a number of manned drifting stations on a generally annual basis since 1937, some of which have passed over or very close to the Pole.

However, this has been disputed, primarily on the basis that oxycodone produces effects typical of μ-opioid agonists.