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second and definition
The majority of the clocks are caesium clocks ; the definition of the SI second is written in terms of caesium.
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.
The practical definition may lead to confusion with the definition of a coulomb ( i. e., 1 amp-second ), but in practical terms this means that measures of a constant current ( e. g., the nominal flow of charge per second through a simple circuit ) will be defined in amperes ( e. g., " a 20 mA circuit ") and the flow of charge through a circuit over a period of time will be defined in coulombs ( e. g., " a variable-current circuit that flows a total of 10 coulombs over 5 seconds ").
Unfortunately in the literature the definition is given in two variants: Despite the fact that Bernoulli defined B < sub > 1 </ sub > = 1 / 2 ( now known as " second Bernoulli numbers "), some authors set B < sub > 1 </ sub > = − 1 / 2 (" first Bernoulli numbers ").
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.
Although the candela is now defined in terms of the second ( an SI base unit ) and the watt ( a derived SI unit ), the candela remains a base unit of the SI system, by definition.
In 1967, a specific frequency from the emission spectrum of caesium-133 was chosen to be used in the definition of the second by the International System of Units.
This second definition makes sense without the axiom of choice.
Notice that the second condition in the definition itself refers to natural numbers, and hence involves self-reference.
This article uses the second definition and does not describe porpoises ( suborder Odontoceti, family Phocoenidae ).
The second law is then a consequence of this definition and the fundamental postulate of statistical mechanics.
Abramowitz and Stegun substitute the integral of the first kind,, for the argument in their definition of the integrals of the second and third kinds, unless this argument is followed by a backslash: i. e. for.
Following this, in 1967 / 68, the General Conference on Weights and Measures ( CGPM ) replaced the definition of the SI second by the following:
Although this is an independent definition that does not refer to the older basis of ephemeris time, it uses the same quantity as the value of the ephemeris second measured by the cesium clock in 1958.
In the context of this article, FTL is the transmission of information or matter faster than c, a constant equal to the speed of light in a vacuum, which is 299, 792, 458 meters per second ( by definition ) or about 186, 282. 4 miles per second.
However, the usage of Irish diaspora is generally not limited by citizenship status, thus leading to an estimated ( and fluctuating ) membership of up to 80 million persons — the second and more emotive definition.
This statement is equivalent to the first of the above-given definitions of the inverse, and it becomes equivalent to the second definition if Y coincides with the codomain of ƒ.
This statement is an obvious consequence of the deduction that for ƒ to be invertible it must be injective ( first definition of the inverse ) or bijective ( second definition ).
The defined dogma of the Immaculate Conception regards original sin only, saying that Mary was preserved from any stain ( in Latin, macula or labes, the second of these two synonymous words being the one used in the formal definition ).
However, a second definition and usage has historically been in practice in many fields of computer science and information technology, which defines the prefix kilo when used with byte or bit units of data as 1024 ( 2 < sup > 10 </ sup >); this is due to the mathematical coincidence that Thus, in these fields 1 kilobyte is equal to 1 kibibyte, a new unit standardized as part of the binary prefixes to resolve the ambiguity.

second and given
It is obvious that the careful choice of photocathode which maximizes Af for a given input E ( in the case of the second stage, for the first phosphor screen emission ) is very important.
On the second voyage, he had turned back at the frozen island of Novaya Zemlya and meekly given the crew a certificate stating that he did so of his own free will -- which was obviously not the case.
During his second week at sea he brought the curious melody out of the instrument and suddenly wanted to force the biwa to remain at just that moment in its history when it had given him pleasure.
Conversely, a current of one ampere is one coulomb of charge going past a given point per second:
The second sermon given by Paneloux, however, suggests that his faith has been shaken.
In the second account given by the Thebans, when Alcmene died, she was turned from human form to a stone.
He was mentioned in the Quran as the " second of the two who lay in the cave " in reference to the event of hijra, with Muhammad where they hid in the cave in Jabal Thawr from the Meccan search party that was sent after them, thus being one of few who were given direct reference to in the Quran.
The doctrine was formulated in the second century in the first of the three senses given by Ramsey, originally as a response to Gnostic claims of having received secret teaching from Christ or the apostles ; it emphasised the public manner in which the apostles had passed on authentic teaching to those whom they entrusted with the care of the churches they founded and that these in turn had passed it on to their successors.
The complexity of executing an algorithm with a human-assisted Turing machine is given by a pair, where the first element represents the complexity of the human's part and the second element is the complexity of the machine's part.
Therefore, when a runner on first or second base tags on a fly ball and advances no further than third base, no sacrifice is given and the batter is charged with an at-bat.
The second moment is, however, non-vanishing, being given by
The second part of Einstein's theory relates the diffusion constant to physically measurable quantities, such as the mean squared displacement of a particle in a given time interval.
As a result, Pasternak sent a second telegram to the Nobel Committee: " In view of the meaning given the award by the society in which I live, I must renounce this undeserved distinction which has been conferred on me.
In the second century Christianity was criticized by the Jews on a various grounds, e. g. that the prophecies of the Hebrew Bible could not have been fulfilled by Jesus, given that he did not have a successful life.
The performance or speed of a processor depends on the clock rate ( generally given in multiples of hertz ) and the instructions per clock ( IPC ), which together are the factors for the instructions per second ( IPS ) that the CPU can perform.
At the end of the second season, an inebriated Johnny LaRue is given his very own crane by Santa Claus, implying he would be able to have a crane shot whenever he wanted it.
Indeed, in those cases where no clear consensus exists on a given norm, the drafting of criminal law by the group in power to prohibit the behaviour of another group may seem to some observers an improper limitation of the second group's freedom, and the ordinary members of society have less respect for the law or laws in general — whether the authorities actually enforce the disputed law or not.
The higher-dimensional chain rule can be proved using a technique similar to the second proof given above.
He secured, during the council's second period, 1551 – 53, an invitation, twice given, to the Protestants to be present and the council issued a letter of safe conduct ( thirteenth session ) and offered them the right of discussion, but denied them a vote.
When the first program reached an instruction waiting for a peripheral, the context of this program was stored away, and the second program in memory was given a chance to run.
The answer to the previous week's " Puzzler " is given at the beginning of the " second half " of the show, and a new puzzler is given at the start of the " third half ".
Dukoral, an orally administered, inactivated whole cell vaccine, has an overall efficacy of about 52 % during the first year after being given and 62 % in the second year, with minimal side effects.
For a given point P, a line is drawn through P perpendicular to the x-axis to meet it at X and second line is drawn through P perpendicular to the y-axis to meet it at Y.

0.176 seconds.