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case and <
To keep options available for lower case letters and other graphics, the special and numeric codes were arranged before the letters, and the letter " A " was placed in position 41 < sub > hex </ sub > to match the draft of the corresponding British standard.
In the second example CH < sub > 3 </ sub > COOH undergoes the same transformation, in this case donating a proton to ammonia ( NH < sub > 3 </ sub >), but cannot be described using the Arrhenius definition of an acid because the reaction does not produce hydronium.
Note that the acid can be the charged species and the conjugate base can be neutral in which case the generalized reaction scheme could be written as HA < sup >+</ sup > H < sup >+</ sup > + A.
This is not always the case: the trivial equation x = x specifies the entire plane, and the equation x < sup > 2 </ sup > + y < sup > 2 </ sup > = 0 specifies only the single point ( 0, 0 ).
The caustic, in the first case, resembles the sign > ( greater than ); in the second < ( less than ).
A binary relation is the special case of an n-ary relation R ⊆ A < sub > 1 </ sub > × … × A < sub > n </ sub >, that is, a set of n-tuples where the jth component of each n-tuple is taken from the jth domain A < sub > j </ sub > of the relation.
For example, bacteria catalyse the breakdown of the mineral pyrite ( FeS < sub > 2 </ sub >) by oxidising the sulfur and metal ( in this case ferrous iron, ( Fe < sup > 2 +</ sup >)) using oxygen.
In this case, the sole purpose of the bacterial step is the regeneration of Fe < sup > 3 +</ sup >.
One possible derivation is from the proto-Germanic word * bastjan ( from Proto-Indo-European root word * b < sup > h </ sup > as ) means " binding " or " tie ".< ref > Köbler * b < sup > h </ sup > as </ ref > In this case, Bastarnae may have had the original meaning of an alliance or bund of tribes.
For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies
The analogy in the case of rotating bucket is that the element of water surface will " slide " up or down the surface unless the normal to the surface aligns with the vector resultant formed by the vector addition F < sub > g </ sub > + F < sub > Cfgl </ sub >.
Whenever a confusion between the two kinds of definitions might arise it can be avoided by referring to the more general definition and by reintroducing the erased parameter: writing B < sub > m </ sub >( 0 ) in the first case and B < sub > m </ sub >( 1 ) in the second will unambiguously denote the value in question.
As a special case, the three naturally occurring isotopes of the element hydrogen are often specified as H for < sup > 1 </ sup > H ( protium ), D for < sup > 2 </ sup > H ( deuterium ), and T for < sup > 3 </ sup > H ( tritium ).

case and operator
The diagonalizable operator is the special case of this in which Af for each i.
The first assumption is that in the case where the background is opaque ( i. e. ), the over operator represents the convex combination of and:
In this case it is particularly useful to insert the unit operator into the bracket one time or more ( for more information see Resolution of the identity ).
According to Bertrand Russell's Theory of Descriptions, the negation operator in a singular sentence can take either wide or narrow scope: we distinguish between " some S is not P " ( where negation takes " narrow scope ") and " it is not the case that ' some S is P '" ( where negation takes " wide scope ").
If the operator already has this in place, which is often the case today, the network can be upgraded to EDGE by activating an optional software feature.
In reality, the actor or actress sees only the camera and its operator in this case, not their own reflection.
In object-oriented programming, operator overloading — less commonly known as operator ad-hoc polymorphism — is a specific case of polymorphism, where different operators have different implementations depending on their arguments.
In this case, the addition operator is overloaded to allow addition on a user-defined type " Time " ( in C ++):
In this case, subsequent applications of the lowering operator will just produce zero kets, instead of additional energy eigenstates.
The term " cinematographer " has been a point of contention for some time now ; some professionals insist that it only applies when the director of photography and camera operator are the same person, although this is far from being uniformly the case.
In either case the engagement is entirely automatic, with no operator guidance needed.
The system is used by Chicago's Office of Emergency Management in case of an emergency call: it detects the caller's location and instantly displays the real-time video feed of the nearest security camera to the operator, not requiring any user intervention.
The operator of the case keep is called the " case keeper ".
1995 ), is a U. S. district court case about whether the operator of a computer bulletin board service (" BBS ") and Internet access provider that allows that BBS to reach the Internet should be liable for copyright infringement committed by a subscriber of the BBS.
This problem was at least partially solved in the United States, Canada, and the UK by dialling " 0 " for the local assistance operator in case of emergency, although faster service could be obtained if the user dialled the full number for the Police or Fire Department.
This indicates that, if f ( n ) is m, then f ( n + 1 ) is ( n + 1 ) m, so that the pair ( n + 1, ( n + 1 ) m ) is in the graph of f. Unlike the base case f ( 0 ) = 1, the recursive operator requires some information about f ( n ) before it defines a value of f ( n + 1 ).
It may involve either a live operator or a recorded message, in which case it is known as " automated telemarketing " using voice broadcasting.
The typical case is of some operator L, with the difference being that between the equation
A notable case is that of former United States amateur operator Jack Gerritsen operating under the revoked call sign KG6IRO who was successfully prosecuted by the FCC for unlicensed operation and malicious interference.
Generally, the LD will stay on headset, and may still have a monitor connected to the light board in case of problems, or will be in the control booth with the board operator when a monitor is not available.
Since an everywhere defined self-adjoint operator is necessarily bounded, one needs be more attentive to the domain issue in the unbounded case.
The example below illustrates the special case when an ( unbounded ) symmetric operator does have a set of eigenvectors which constitute a Hilbert space basis.

case and succeeds
Posing as Miyu's new boyfriend, he succeeds in stealing the Shikima seal case.
A rule of the form A ← a succeeds if the next character in the input string is the terminal a, in which case the nonterminal succeeds and consumes that one terminal ; if the next input character does not match ( or there is no next character ), then the nonterminal fails.
An atomic parsing expression consisting of a single terminal ( i. e. literal ) succeeds if the first character of the input string matches that terminal, and in that case consumes the input character ; otherwise the expression yields a failure result.
The and-predicate expression & e invokes the sub-expression e, and then succeeds if e succeeds and fails if e fails, but in either case never consumes any input.
The not-predicate expression! e succeeds if e fails and fails if e succeeds, again consuming no input in either case.
If this case succeeds the potential money realised by CAB will be substantially more than the yield from gangland criminals since 1996 although this largely depends of the outcome of protracted legal proceedings.
Flying onto a creature allows an attack, but the flying creature remains in place unless it succeeds in killing its target, in which case it takes its place as above.
It keeps the basic Senecan design brought to English drama by Thomas Kyd: a young man is driven to avenge an elder's death ( in this case it's a lover, Gloriana, instead ), which was caused by the villainy of a powerful older man ; the avenger schemes to effect his revenge, often by morally questionable means ; he finally succeeds in a bloodbath that costs him his own life as well.
In the Florida Keys, Harry has an affair of his own with Paula, and succeeds in locating Delly, even as he learns that finding her is only the beginning of a much larger case.
A method solves the problem ( in a given sense ) just in case the method succeeds ( in the appropriate sense ) in each of the possible worlds specified by the problem.
Of two non-solutions, one is as reliable as the other just in case it succeeds in all the worlds the other one succeeds in.
The lieutenant governor, who acts as governor in his absence and succeeds to the governorship in case of vacancy, is elected on a partisan ticket with the governor.

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