Players take turns moving a single piece, either by moving one step to an adjacent unoccupied space in any direction, or by jumping in one or any number of available consecutive hops over other single pieces.

Although the fundamental group in general depends on the choice of base point, it turns out that, up to isomorphism ( actually, even up to inner isomorphism ), this choice makes no difference as long as the space X is path-connected.

It turns out that they mostly fall into four infinite families, the " classical Lie algebras " A < sub > n </ sub >, B < sub > n </ sub >, C < sub > n </ sub > and D < sub > n </ sub >, which have simple descriptions in terms of symmetries of Euclidean space.

The analysis so far has been two dimensional ; it turns out that an unperturbed orbit is two-dimensional in a plane fixed in space, and thus the extension to three dimensions requires simply rotating the two-dimensional plane into the required angle relative to the poles of the planetary body involved.

It turns out that such inconsistencies arise from relativistic wavefunctions having a probabilistic interpretation in position space, as probability conservation is not a relativistically covariant concept.

It turns out that this map is bijective and can thus be used to transfer the vector space operations from R < sup > n </ sup > over to T < sub > x </ sub > M, turning the latter into an n-dimensional real vector space.

Each player starts with a token on the starting square ( usually the " 1 " grid square in the bottom left corner, or simply, the imaginary space beside the " 1 " grid square ) and takes turns to roll a single die to move the token by the number of squares indicated by the die roll.

Every topological group can be viewed as a uniform space in two ways ; the left uniformity turns all left multiplications into uniformly continuous maps while the right uniformity turns all right multiplications into uniformly continuous maps.

It turns out that this operation can be extended ( in more than one way ) to, turning this space also into a monoid, though rather surprisingly a non-commutative one.

) It turns out that a space is T < sub > 3 </ sub > if and only if it is both regular and T < sub > 0 </ sub >.

However, space pirates infiltrate their ship, and their leader turns out to be a rogue Jedi named Lorian Nod, who was a close friend of Dooku's.

It turns out that every set given this topology automatically becomes a compact space.

* Cap ' n Crunch's CoZmic Crunch: Star shaped berries with "' free ' orange space dust that turns milk green ".

" This house explodes the surfaces that enclose a normal house or space, and turns it into a continuum of free standing planes, through which the eye can never see an end, you are always intrigued what's beyond, you can always see something floating into the distance, there is never an obstruction to your vision, it is a continuum ( of space ), that I believe 20th century man's eye and senses responds positively to that, we crave this ".

As it turns out ( according to The Clones of Dr. Funkenstein, 1976 ), Starchild secretly worked for Dr. Funkenstein, the intergalactic master of outer space Funk, who is capable of fixing all of man ’ s ills, because the " bigger the headache, the bigger the pill " and he ’ s the " big pill " (" Dr. Funkenstein ", from The Clones of Dr. Funkenstein ).

The first three occur randomly after each set of turns during a party, while " Battle " can only be triggered by landing on the corresponding space on the board.

These are engaged through a Dueling Glove and in the last 5 turns in the game where if a player lands on the same space as another a duel is initiated.

Bal-Swing, in contrast, incorporates movements in which there is more space between the partners and thus more latitude for dynamic movements, including turns for one or both partners, and so forth.

These algebras also carry a topology ; many of them are defined on an underlying Banach space, which turns them into Banach algebras.

Players take turns removing the top card from a stack, most of which show one of six colors, and then moving their marker ahead to the next space of that color.

A pervading quality of free lyricism and a building from turns close to the ground towards jumps into the air gives the work its central focus.

In fact, once the size is big enough to cover a whole wall, it turns into nothing more than extremely expensive wallpaper.

and what has once been a neighborhood turns into a `` turf ''.

`` The trouble, '' explained Loy Henderson, then Deputy Undersecretary for Administration, `` is that when we get into an argument with him about this thing, it always turns out that Rooney knows more about our budget than we do ''.

At Lake Krasnoye, it turns east and flows into the Onemen Bay of the Anadyr Estuary.

Aeneas descends into the underworld where he meets Dido ( who turns away from him to return to her husband ) and his father, who shows him the future of his descendents and thus the history of Rome.

* 1973 – A bank robbery gone wrong in Stockholm, Sweden, turns into a hostage crisis ; over the next five days the hostages begin to sympathise with their captors, leading to the term " Stockholm syndrome ".

Exile turns the Electron's one channel output into a digital speaker for PCM output.

Dürer's belief in the abilities of a single artist over inspiration prompted him to assert that " one man may sketch something with his pen on half a sheet of paper in one day, or may cut it into a tiny piece of wood with his little iron, and it turns out to be better and more artistic than another's work at which its author labours with the utmost diligence for a whole year.

The details vary but at the core they involve a great hunter, Actaeon who Artemis turns into a stag for a transgression and who is then killed by hunting dogs.

Because of Athlon's very large L1 cache and the exclusive design which turns the L2 cache into basically a " victim cache ", the need for high L2 performance and size was lessened.

By the time Army of Darkness turns into a retread of Jason and the Argonauts, featuring an army of fighting skeletons, the film has fallen into a ditch between parody and spectacle ".

The river turns to the west near Arezzo passing through Florence, Empoli and Pisa, flowing into the Tyrrhenian Sea at Marina di Pisa.

That is, the scrubber turns sulfur pollution into industrial sulfates.

The percentage of fluent speakers turns out to be even higher if those under 16 are also taken into account, given that the proportion of bilinguals is particularly high in this age group ( 76. 7 % of those aged between 10 and 14 and 72. 4 % of those aged 5 – 9 ): 37. 5 % of the population aged 6 and above in the whole Basque Autonomous Community, 25. 0 % in Álava, 31. 3 % in Biscay and 53. 3 % in Gipuzkoa.

Eventually they find the thief, who turns out to be Loki who has transformed himself into a seal.

Heimdall turns into a seal as well and fights Loki.

The image is completely destroyed by a rock that turns into a huge mountain, filling the whole earth.

However, Strowski is killed and Lobo unwittingly turns Dr. Vornoff into an atomic-powered superhuman being.

The World's largest MSW co-composter is the Edmonton Composting Facility in Edmonton, Alberta, Canada, which turns 220, 000 tonnes of residential solid waste and 22, 500 dry tonnes of biosolids per year into 80, 000 tonnes of compost.

The utility of the chain rule is that it turns a complicated derivative into several easy derivatives.

Xavier attempts to have Scott give him permission to scan Scott's mind for traces of Sinister's influences, but instead Scott turns the tables on Xavier by revealing that he has secretly invited Emma Frost into their entire meeting and also into Xavier's mind.

Above, it turns into an helical antiferromagnetic state in which all of the atomic moments in a particular basal plane layer are parallel, and oriented at a fixed angle to the moments of adjacent layers.