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Formally and code
Formally, HPGCC is a cross-compiler ; it compiles code for the ARM-based HP calculators, but runs on a PC rather than the target system.
Formally, this follows from the fact that the code is an injective map.

Formally and is
Formally organized vocational programs supported by federal funds allow high school students to gain experience in a field of work which is likely to lead to a full-time job on graduation.
Formally, a binary operation on a set S is called associative if it satisfies the associative law:
Formally, their designation is the letter Ž and the number.
Formally, a topological space X is called compact if each of its open covers has a finite subcover.
Formally, the set of all context-free languages is identical to the set of languages accepted by pushdown automata ( PDA ).
Formally, the derivative of the function f at a is the limit
More rigorously, the divergence of a vector field F at a point p is defined as the limit of the net flow of F across the smooth boundary of a three dimensional region V divided by the volume of V as V shrinks to p. Formally,
Formally, the base is known as Naval Support Facility Diego Garcia ( the US activity ) or Permanent Joint Operating Base ( PJOB ) Diego Garcia ( the UK's term ).
Formally, there is a clear distinction: " DFT " refers to a mathematical transformation or function, regardless of how it is computed, whereas " FFT " refers to a specific family of algorithms for computing DFTs.
Formally, oxidation state is the hypothetical charge that an atom would have if all bonds to atoms of different elements were 100 % ionic.
Formally, a bifunctor is a functor whose domain is a product category.
Formally, a set S is called finite if there exists a bijection
Formally, the system is said to have memory.
Formally, an inner product space is a vector space V over the field together with an inner product, i. e., with a map
Formally, if M is a set, the identity function f on M is defined to be that function with domain and codomain M which satisfies
* Formally, when working over the reals, as here, this is accomplished by considering the limit as ε → 0 ; but the " infinitesimal " language generalizes directly to Lie groups over general rings.
Formally, a profinite group is a Hausdorff, compact, and totally disconnected topological group: that is, a topological group that is also a Stone space.
Formally, this sharing of dynamics is referred to as universality, and systems with precisely the same critical exponents are said to belong to the same universality class.
Formally, a frame is defined to be a lattice L in which finite meets distribute over arbitrary joins, i. e. every ( even infinite ) subset
Formally, Φ = kx − ωt is the phase.

Formally and mapping
Formally, the problem of supervised pattern recognition can be stated as follows: Given an unknown function ( the ground truth ) that maps input instances to output labels, along with training data assumed to represent accurate examples of the mapping, produce a function that approximates as closely as possible the correct mapping.
Formally, this is achieved by mapping the input x to a two dimensional vector u ( x )
Formally, the bounded Borel functional calculus of a self adjoint operator T on Hilbert space H is a mapping defined on the space of bounded complex-valued Borel functions f on the real line,
Formally, given a graph G, a vertex labeling is a function mapping vertices of G to a set of labels.
Formally, an encoding of a language A into language B is a mapping of all terms of A into B.
Formally, a signed graph Σ is a pair ( G, σ ) that consists of a graph G = ( V, E ) and a sign mapping or signature σ from E to the sign group

block and code
The client's response to the server was to send a block of PostScript code, while the server could respond with any diagnostic messages that might be generated as a result, after which another " send-more-data " request was sent.
Also, " a behavior " is a reusable block of computer code or script that, when applied to an object, especially a graphical one, causes it to respond to user input in meaningful patterns or to operate independently.
We must also prevent the decoder from using the last code in the upper block, 2 < sup > n + 1 </ sup > − 1, because when the decoder fills that slot, it will increase the code width.
Thus in the upper block there are 2 < sup > n </ sup > − 3 codes available to the decoder that won't trigger an increase in code width.
For any information rate R < C and coding error ε > 0, for large enough N, there exists a code of length N and rate ≥ R and a decoding algorithm, such that the maximal probability of block error is ≤ ε ; that is, it is always possible to transmit with arbitrarily small block error.
To make those statements control multiple lines, you must use the command to create a code block.
( Thus, they are called " macros " because a big block of code can be expanded from a small sequence of characters ).
Most assembly languages have less powerful procedural macro facilities, for example allowing a block of code to be repeated N times for loop unrolling ; but these have a completely different syntax from the actual assembly language.
* The statement, which conditionally executes a block of code, along with and ( a contraction of else-if ).
* The statement, which executes a block of code as long as its condition is true.
* The statement, which allows exceptions raised in its attached code block to be caught and handled by clauses ; it also ensures that clean-up code in a block will always be run regardless of how the block exits.
* The statement, which executes a block of code and attaches its local namespace to a class, for use in object-oriented programming.
* The statement ( from Python 2. 5 ), which encloses a code block within a context manager ( for example, acquiring a lock before the block of code is run, and releasing the lock afterwards ).
It is syntactically needed to create an empty code block.
A related enhancement in the Pentium is the ability to read a contiguous block from the code cache even when it is split between two cache lines ( at least 17 bytes in worst case ).

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