Although many board games have a jargon all their own, there is a generalized terminology to describe concepts applicable to basic game mechanics and attributes common to nearly all board games.

Although the mechanics of ballpoint pens remain relatively unchanged, ink composition has evolved to solve certain problems over the years, resulting in unpredictable sensitivity to light and some extent of fading.

Although newer systems have updated game mechanics significantly, the ideas presented in Bunnies & Burrows created the framework for modern role-playing games.

Although this is not the technical definition of the Hamiltonian in classical mechanics, it is the form it most commonly takes.

Although originally expressed in Newton's third law, the conservation of linear momentum also holds in special relativity ( with a modified formula ) and, with appropriate definitions, a ( generalized ) linear momentum conservation law holds in electrodynamics, quantum mechanics, quantum field theory, and general relativity.

Although Schrödinger himself after a year proved the equivalence of his wave-mechanics and Heisenberg's matrix mechanics, the reconciliation of the two approaches and their modern abstraction as motions in Hilbert space is generally attributed to Paul Dirac, who wrote a lucid account in his 1930 classic Principles of Quantum Mechanics.

Although spin and the Pauli principle can only be derived from relativistic generalizations of quantum mechanics the properties mentioned in the last two paragraphs belong to the basic postulates already in the non-relativistic limit.

Although these semiclassical models contributed to the development of quantum mechanics, many further experiments starting with Compton scattering of single photons by electrons, first observed in 1923, validated Einstein's hypothesis that light itself is quantized.

Although these first studies focused on the counterintuitive properties of entanglement, with the aim of criticizing quantum mechanics, eventually entanglement was verified experimentally, and recognized as a valid, fundamental feature of quantum mechanics.

Although the oar can be conveniently thought of as a lever with a " fixed " pivot point in the water, the blade moves sideways and sternwards through the water, so that the magnitude of the propulsion force developed is the result of a complex interaction between unsteady fluid mechanics ( the water flow around the blade ) and solid mechanics and dynamics ( the handle force applied to the oar, the oar's inertia and bending characteristic, the acceleration of the boat and so on ).

Although the principle is more visually intuitive in the wave mechanics formalism, it was first derived and is more easily generalized in the matrix mechanics formalism.

Although it is difficult to draw a line separating wave – particle duality from the rest of quantum mechanics, it is nevertheless possible to list some applications of this basic idea.

Although Dirac did not at first fully appreciate what his own equation was telling him, his resolute faith in the logic of mathematics as a means to physical reasoning, his explanation of spin as a consequence of the union of quantum mechanics and relativity, and the eventual discovery of the positron, represents one of the great triumphs of theoretical physics, fully on a par with the work of Newton, Maxwell, and Einstein before him.

Although it was once thought by scientists that any indeterminism in quantum mechanics occurred at too small a scale to influence biological or neurological systems, there is indication that nervous systems are influenced by quantum indeterminism due to chaos theory.

Although quantum mechanics has held up to rigorous and thorough experimental testing, many of these experiments are open to different interpretations.

Although the concept of viscosity is commonly used in fluid mechanics to characterize the shear properties of a fluid, it can be inadequate to describe non-Newtonian fluids.

Although it relies on quantum mechanics principles to operate, its basic concepts are easily explained.

Although stated simply the mechanics needed to execute these tasks are laborious, e. g. as he passes the window he hides behind the blanket which he holds in front of himself to cover the mirror and he carries the cat and dog facing away from him as he tries to put them out the door.

Although Hawking's calculations gave further thermodynamic evidence for black hole entropy, until 1995 no one was able to make a controlled calculation of black hole entropy based on statistical mechanics, which associates entropy with a large number of microstates.

Although at the time C. S. Lewis wrote Miracles, quantum mechanics ( and physical indeterminism ) was only in the initial stages of acceptance, he stated the logical possibility that if the physical world was proved to be indeterministic this would provide an entry ( interaction ) point into the traditionally viewed closed system, where a scientifically described physically probable / improbable event could be philosophically described as an action of a non physical entity on physical reality.

Although Lagrange only sought to describe classical mechanics, the action principle that is used to derive the Lagrange equation was later recognized to be applicable to quantum mechanics as well.

Although he questions the extent and nature of the alleged revival of religion and the alleged increase in conformity, and thinks that `` hedonistic '' present-time orientation does not have the meaning usually attributed to it, he does conclude that Americans increasingly enjoy leisure without guilt, do not stress achievement so much as formerly, are more accepting of group harmony as a goal, more tolerant of diversity and aware of other cultures.

Although the false glamour surrounding bourbon or other whisky commercials is possibly no more fatuous than the pseudo-sophistication with which TV soft-drinks are downed or toothpaste applied, there is a sad difference between enticing a viewer into sipping Oopsie-Cola and gulling him into downing bourbon.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

Although today's trucks are as fast as passenger cars, a truck driver has to be a sensible person and guard against hogging the road.

Although they are forbidden to sit with the customers, the dancers are sometimes proffered drinks, and most of them can bolt one down in mid-shimmy.

Although there are many sound reasons for adopting uniform and coordinated fiscal years in Rhode Island, there are also certain difficulties encountered.

Although the site may not contain the features themselves, there are often opportunities to include them as additional interest to the site.

Although the play does show a certain structural amateurishness ( there are eleven acts varying in length from twenty-five seconds to an hour and a half ), the statement it makes concerning the ceaseless yearning and searching of youth is profound and worthy of our attention.

Although there is no question but that the process of washing fabrics involves a number of phenomena which are related together in an extremely complicated way and that these phenomena and their interrelations are not well understood at the present, this section attempts to present briefly an up-to-date picture of the physical chemistry of washing either fabrics or hard surfaces.

Although the standard deviation values on which spread of the lines is based are relatively larger for those centers which begin to ossify early ( Table 1 ), there are considerable differences in this value between centers having the closely timed Onsets.

Although in both emotions sympathetic symptoms are present, different autonomic-somatic patterns underlie aggression and anxiety, respectively, as indicated by the rate of the excretion of the catecholamines, the state of the muscle tone, and the Mecholyl test.

Although we are still far from a complete understanding of these problems, as a first approximation, it is suggested that alterations in the hypothalamic balance with consequent changes in the hypothalamic-cortical discharges account for major changes in behavior seen in various moods and states of emotions in man and beast under physiological circumstances, in experimental and clinical neurosis, and as the result of psychopharmacological agents.

Although the inner functions of religion are not of direct significance in social organization, they have important indirect consequences.

Although the Brandywine population is still predominantly rural, `` there are indications of a consistent and a statistically significant trend away from the older and relatively isolated rural communities.

Although science has given us more effective materials, preparations from anise, castorbean, colchicum, nux vomica, mustard, fennel, and stramonium are familiar to many for the relief of human ailments.

Although the Administration's program cut crop acreage to the lowest point since 1934, farmers, with the help of extra fertilizer and good weather, are getting such high yields per acre that many are being forced to buy new harvesting machines.

Although progress has been made in America's system of libraries it still falls short of what is required if we are to maintain the standards that are needed for an informed America.

Although the theological forms of the past continue to exist in a way they do not in a more secularized situation, the striking thing is the rapidity with which they are being reduced to a marginal existence.

Although there are landscapes in the show ( one of the strongest is a vista of `` Gloucester Harbor '' in 1915 ), the human element was the compelling factor in Sloan's art.

-- Although there was some variation in results which must be attributed either to trace impurities or to variation in wall effects, the photochemical exchange in the gas phase was sufficiently reproducible so that it seemed meaningful to compare the reaction rates in different series of reaction tubes for the purpose of obtaining information on the effect of chlorine concentration and of carbon tetrachloride concentration on the reaction rate.

Although MND refers to a specific subset of pathologically similar diseases ; there are numerous other afflictions of motor neurons that are pathologically distinct from MND and have a different clinical course.

Although a number of different broadcast television systems were in use worldwide, the same principles of operation apply.

Although the VPI / VCI values are not necessarily consistent from one end of the connection to the other, the concept of a circuit is consistent ( unlike IP, where any given packet could get to its destination by a different route than the others ).

Although OBP and SLG have different denominators, it is possible to rewrite the expression for OPS using a common denominator.

Although each series is set in a different era, all follow the " misfortunes " of Edmund Blackadder ( played by Atkinson ), who in each is a member of a British family dynasty present at many significant periods and places in British history.

Although there were several competing theories as to the etiology of the Black Death, recent analysis of DNA from victims in northern and southern Europe indicates that the pathogen responsible was the Yersinia pestis bacterium, which causes the Bubonic plague, although these were different, previously unknown ancestral variants of those identified in the 20th century.

Although these two are often considered interchangeable, compilers and execution environments usually assign different signals to these.

Although α and − α produce the same differential equation, it is conventional to define different Bessel functions for these two orders ( e. g., so that the Bessel functions are mostly smooth functions of α ).

Although all of these behaviors merge into each other seamlessly in various bonding situations so that there is no clear line to be drawn between them, nevertheless behaviors of atoms become so qualitatively different as the character of the bond changes quantitatively, that it remains useful and customary to differentiate between the bonds that cause these different properties of condensed matter.

Although the Rutgers-Princeton game was undoubtedly different from what we today know as American football, it was the forerunner of what evolved into American football.

Although many different processes might produce the general form of a black body spectrum, no model other than the Big Bang has yet explained the fluctuations.

Although worship of a trinity is considered to be not different from any other form of idolatry for Jews, it may be an acceptable belief for non-Jews ( according to the ruling of some Rabbinic authorities ).

Although love is central to both Christianity and Judaism, literary critic Harold Bloom ( in his Jesus and Yahweh: The Names Divine ) argues that their notions of love are fundamentally different.

Although cities are different sovereignties than the state they are located within, the two are not permitted to attach jeopardy more than once cumulatively.

Although Kronecker had conceded, Hilbert would later respond to others ' similar criticisms that " many different constructions are subsumed under one fundamental idea " — in other words ( to quote Reid ): " Through a proof of existence, Hilbert had been able to obtain a construction "; " the proof " ( i. e. the symbols on the page ) was " the object ".

Although these guidelines have been widely implemented, opponents argue that even when a diagnostic criteria set is accepted across different cultures, it does not necessarily indicate that the underlying constructs have any validity within those cultures ; even reliable application can only demonstrate consistency, not legitimacy.

Although dragons occur in many legends around the world, different cultures have varying stories about monsters that have been grouped together under the dragon label.

Although both are slow-moving rivers, they are at different elevations.

Although it is claimed that, depending on their preferred learning modality, different teaching techniques have different levels of effectiveness, recent research has argued " there is no adequate evidence base to justify incorporating learning styles assessments into general educational practice.

Although most obituaries were positive, a number of clergymen expressed different sentiments.

Although it is theoretically possible that detailed schedule analysis will yield different conclusions than broad schedule analysis, in practice there tends to be a high correlation between the two.