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Every quantum mechanical observable corresponds to a unique function or distribution on phase space, and vice versa, as specified by Hermann Weyl ( 1927 ) and supplemented by John von Neumann ( 1931 ); Eugene Wigner ( 1932 ); and, in a grand synthesis, by H J Groenewold ( 1946 ).
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Every and quantum
Every isolated unstable black hole decays rapidly to a stable black hole ; and ( modulo quantum fluctuations ) stable black holes can be completely described ( in a Cartesian coordinate system ) at any moment in time by these eleven numbers:
Every computer must be compatible with the principles of information theory, statistical thermodynamics, and quantum mechanics.
Every quantum field theory satisfying certain technical assumptions about its S-matrix that has non-trivial interactions can only have a symmetry Lie algebra which is always a direct product of the Poincaré group and an internal group if there is a mass gap: no mixing between these two is possible.
Every electron has a magnetic moment and spin quantum number, with magnetic components and.
Every and mechanical
“ Every machine is constructed for the purpose of performing certain mechanical operations, each of which supposes the existence of two other things besides the machine in question, namely, a moving power, and an object subject to the operation, which may be termed the work to be done.
Every Metabaron is in his youth mutilated by his father so that his endurance to pain is tested, and that he receives a powerful mechanical body part as a replacement for the destroyed limb-making every Metabaron a cyborg.
" Every implement or utensil, every mechanical device ... is a triumph of mind over the physical forces of nature in ceaseless and aimless competition.
Every mercenary has four attributes-health, agility, dexterity, wisdom, and four skills-medical, explosives, mechanical and marksmanship.
Every and observable
Every location in the universe has its own observable universe, which may or may not overlap with the one centered on the Earth.
Every and corresponds
Every polynomial P in x corresponds to a function, ƒ ( x )
Every closed point of Hilb ( X ) corresponds to a closed subscheme of a fixed scheme X, and every closed subscheme is represented by such a point.
Every class prepares a float which corresponds with the Homecoming theme or related theme of school spirit as assign by school administrators.
Every infinitesimal region of space time may have its own proper time that corresponds to the gravitational time dilation there, where electromagnetic radiation and matter may be equally affected, since they are made of the same essence ( as shown in many tests involving the famous equation E = mc < sup > 2 </ sup >).
Every infinitely divisible probability distribution corresponds in a natural way to a Lévy process, i. e., a stochastic process
Every finite Boolean algebra can be represented as a whole power set-the power set of its set of atoms ; each element of the Boolean algebra corresponds to the set of atoms below it ( the join of which is the element ).
Every cotree T defines a cograph G having the leaves of T as vertices, and in which the subtree rooted at each node of T corresponds to the induced subgraph in G defined by the set of leaves descending from that node:
Every word of length over an-ary alphabet corresponds to a node in this tree at depth.
Every element of naturally corresponds the subset of V which assigns a 1 to its vertices.
Every and unique
Every real number, whether integer, rational, or irrational, has a unique location on the line.
Every other aspect of film making originated in a different medium than film ( photography, art direction, writing, sound recording ), but editing is the one process that is unique to film.
Every rational number has a unique representation as an irreducible fraction.
Every species can be given a unique ( and, one hopes, stable ) name, as compared with common names that are often neither unique nor consistent from place to place and language to language.
Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass between pulses from a given station in the chain.
Every principal ideal domain is a unique factorization domain ( UFD ).
Every pair of points belongs to a unique line.
Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by, where √ is called the radical sign or radix.
Every element s, except a possible greatest element, has a unique successor ( next element ), namely the least element of the subset of all elements greater than s. Every subset which has an upper bound has a least upper bound.
Every well-ordered set is uniquely order isomorphic to a unique ordinal number, called the order type of the well-ordered set.
# Every noun belongs to a unique number class.
* Every rational number has an essentially unique continued fraction representation.
Every system is unique to the business drivers it supports, therefore the quality attributes of each system such as fault-tolerance, backward compatibility, extensibility, reliability, maintainability, availability, security, usability, and such other – ilities will vary with each implementation.
Every Gundam has a unique name that befits the nature of the suit and / or its origins, such as the XXXG-01W Wing Gundam, XXXG-01D Gundam Deathscythe and the XXXG-01S Shenlong Gundam.
* PASSIA Diaries and Annual Reports: Every year since 1988, PASSIA publishes its “ Diary ”, a unique annual resource book combining a comprehensive directory of contact information for Palestinian and interna tional institu tions operating in Palestine, a day-to-day calendar, and an agenda containing facts and figures, graphs, statistics, chronologies and maps related to Palestine and the Palestinians.
Every composite number can be written as the product of two or more ( not necessarily distinct ) primes ; furthermore, this representation is unique up to the order of the factors.
: Every host in the network must have a unique address that determines where it is.
Every crystalline solid will have a unique pattern of d-spacings ( known as the powder pattern ), which is a “ finger print ” for that solid.
One unique challenge that the team encountered early on was related to deph perception, the team remedied through the use of shadows: Every object in the game has a shadow directly below it regardless of the area's lighting.
Every June this area is inundated with the Ronceverte River Festival, where a unique raffle is held by floating hundreds of small, numbered yellow ducks into the river.
Every device on the bus has a unique 5-bit primary address, in the range from 0 to 30 ( 31 total possible addresses ).
Every unique cultivar has a unique name within its denomination class ( which is almost always the genus ).
Every and function
: Every set has a choice function.
Every such subset has a smallest element, so to specify our choice function we can simply say that it maps each set to the least element of that set.
** Every surjective function has a right inverse.
* Pseudocompact: Every real-valued continuous function on the space is bounded.
Every contraction mapping is Lipschitz continuous and hence uniformly continuous ( for a Lipschitz continuous function, the constant k is no longer necessarily less than 1 ).
: Every effectively calculable function is a computable function.
Every effectively calculable function ( effectively decidable predicate ) is general recursive italics
Every effectively calculable function ( effectively decidable predicate ) is general recursive.
Every bijective function g has an inverse g < sup >− 1 </ sup >, such that gg < sup >− 1 </ sup > = I ;
Every entire function can be represented as a power series that converges uniformly on compact sets.
Every holomorphic function can be separated into its real and imaginary parts, and each of these is a solution of Laplace's equation on R < sup > 2 </ sup >.
Every holomorphic function is analytic.
Every completely multiplicative function is a homomorphism of monoids and is completely determined by its restriction to the prime numbers.
Every primitive recursive function is a general recursive function.
Every time another object or customer enters the line to wait, they join the end of the line and represent the “ enqueue ” function.
Every function is a method and methods are always called on an object.
Every type that is a member of the type class defines a function that will extract the data from the string representation of the dumped data.
Every uniformly continuous function between metric spaces is continuous.
Every continuous function on a compact set is uniformly continuous.
Every output of an encoder can be described by its own transfer function, which is closely related to the generator polynomial.
Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.
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