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Page "Stoichiometry" ¶ 39
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where and N
The approximate equation is Af, where N is the number of Af with electron line-density greater than or equal to Af, and Q is proportional to the mass of the meteorite.
We have just observed that we can write Af where D is diagonalizable and N is nilpotent, and where D and N not only commute but are polynomials in T.
Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.
Each performance of an n-trial binomial experiment results in some whole number from 0 through N as the value of the random variable X, where Af.
or under ' Four Stems ', I set off by asterisks cases where the combined N of stems Af was Af.
1 / N, where N is the scale or magnification of the image.
Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.
The route has to be changed, which will require it to go through Rock Ridge, a frontier town where everyone has the last name of " Johnson " ( including a " Howard Johnson ", a " Dr. Samuel Johnson ", a " Van Johnson " and an " Olson N. Johnson ").
For example, the division example above may also be interpreted as a partial binary function from Z and N to Q, where N is the set of all natural numbers, including zero.
where is the Boltzmann constant, T is temperature ( assumed to be a well-defined quantity ), is the degeneracy ( meaning, the number of levels having energy ; sometimes, the more general ' states ' are used instead of levels, to avoid using degeneracy in the equation ), N is the total number of particles and Z ( T ) is the partition function.
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
Under the administration of Félix Éboué, France's first black colonial governor, a military column, commanded by Colonel Philippe Leclerc de Hauteclocque, and including two battalions of Sara troops, moved north from N ' Djamena ( then Fort Lamy ) to engage Axis forces in Libya, where, in partnership with the British Army's Long Range Desert Group, they captured Kufra.
( V, T, P, S ), where N / V is the Non-terminal Variable, and Σ / T is the Terminal ) is context-sensitive if all rules in P are of the form
where A ∈ N ( i. e., A is a single nonterminal ), α, β ∈ ( N U Σ )* ( i. e., α and β are strings of nonterminals and terminals ) and γ ∈ ( N U Σ )< sup >+</ sup > ( i. e., γ is a nonempty string of nonterminals and terminals ).
The highest point is just east of where Connecticut, Massachusetts, and New York meet ( 42 ° 3 ' N ; 73 ° 29 ' W ), on the southern slope of Mount Frissell, whose peak lies nearby in Massachusetts.
where θ ∈ T < sub > f ( x )</ sub >< sup >*</ sup > N and X < sub > x </ sub > ∈ T < sub > x </ sub > M.

where and <
He also offers a conversion table ( see Cohen, 1988, p. 283 ) for eta squared ( η < sup > 2 </ sup >) where 0. 0099 constitutes a small effect, 0. 0588 a medium effect and 0. 1379 a large effect.
Reactions of acids are often generalized in the form HA H < sup >+</ sup > + A < sup >−</ sup >, where HA represents the acid and A < sup >−</ sup > is the conjugate base.
The numerical value of K < sub > a </ sub > is equal to the concentration of the products divided by the concentration of the reactants, where the reactant is the acid ( HA ) and the products are the conjugate base and H < sup >+</ sup >.
Because the range of possible values for K < sub > a </ sub > spans many orders of magnitude, a more manageable constant, pK < sub > a </ sub > is more frequently used, where pK < sub > a </ sub >
These nodes are areas where the action potential is amplified using a high density of sodium ( Na < big >+</ big >) ions and is subsequently passed along the axon.
functions as real combinations of spherical harmonics Y < sub > lm </ sub >( θ, φ ) ( where l and m are quantum numbers ).
Within a shell where n is some integer n < sub > 0 </ sub >, ranges across all ( integer ) values satisfying the relation.
It lacks the NH < sub > 2 </ sub > group because of the cyclization of the side-chain and is known as an imino acid ; it falls under the category of special structured amino acids .</ ref > where R is an organic substituent known as a " side-chain "); often the term " amino acid " is used to refer specifically to these.
½ ( pKa < sub > 1 </ sub > + pKa < sub > R </ sub >), where pKa < sub > R </ sub > is the side-chain pKa.
## < tt > SubBytes </ tt >— a non-linear substitution step where each byte is replaced with another according to a lookup table.
## < tt > ShiftRows </ tt >— a transposition step where each row of the state is shifted cyclically a certain number of steps.
The < tt > MixColumns </ tt > function takes four bytes as input and outputs four bytes, where each input byte affects all four output bytes.
where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.
where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.
where E < sub > 0 </ sub > is an infinite negative constant.
The Battle of Qarqar is mentioned in extra-biblical records, and was perhaps at Apamea where Shalmaneser III of Assyria fought a great confederation of princes from Cilicia, Northern Syria, Israel, Ammon, and the tribes of the Syrian desert ( 853 BC ), including Ahab ( A-ha-ab-bu < sup > mat </ sup >) ( Adad -' idri ).
where < big ></ big > is the number of degrees of freedom divided by two, R is the universal gas constant and n is the number of moles in the system ( a constant ).
We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.

where and sub
where p is a program in L < sub > 2 </ sub >.

where and i
; Balanced design: An experimental design where all cells ( i. e. treatment combinations ) have the same number of observations.
For example, where a person has committed harmful actions of body, speech and mind based on greed, hatred and delusion, rebirth in a lower realm, i. e. an animal, a ghost or a hell realm, is to be expected.
On the other hand, where a person has performed skillful actions based on generosity, loving-kindness ( metta ), compassion and wisdom, rebirth in a happy realm, i. e. human or one of the many heavenly realms, can be expected.
When a specific allophone ( from a set of allophones that correspond to a phoneme ) must be selected in a given context ( i. e. using a different allophone for a phoneme will cause confusion or make the speaker sound non-native ), the allophones are said to be complementary ( i. e. the allophones complement each other, and one is not used in a situation where the usage of another is standard ).
The first assumption is that in the case where the background is opaque ( i. e. ), the over operator represents the convex combination of and:
It is also interesting to note that the operator fulfills all the requirements of a non-commutative monoid, where the identity element is chosen such that ( i. e. the identity element can be any tuple with.
For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.
For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.
* In a discharging battery or galvanic cell ( diagram at right ) the anode is the negative terminal since that is where the current flows into " the device " ( i. e. the battery cell ).
* In a cathode ray tube, it is the positive terminal where electrons flow out of the device, i. e., where positive electric current flows in.
The flow of electrons is always from anode to cathode outside of the cell or device, regardless of the cell or device type and operating mode, with the exception of diodes, where electrode naming always assumes current in the forward direction ( that of the arrow symbol ), i. e., electrons flow in the opposite direction, even when the diode reverse-conducts either by accident ( breakdown of a normal diode ) or by design ( breakdown of a Zener diode, photo-current of a photodiode or solar cell ).
The AA compiler generated range-checking for array accesses, and allowed an array to have dimensions that were determined at run-time ( i. e. you could declare an array as < code >< u > integer </ u > < u > array </ u > Thing ( i: j )</ code >, where and were calculated values ).
where R < sub > i </ sub > is the position vector of particle i from the reference point, m < sub > i </ sub > is its mass, and V < sub > i </ sub > is its velocity.
However, a common and well-accepted metric is the half power points ( i. e. frequency where the power goes down by half its peak value ) on the output vs. frequency curve.
In Denmark, recent archaeological excavations at Lejre, where Scandinavian tradition located the seat of the Scyldings, i. e., Heorot, have revealed that a hall was built in the mid-6th century, exactly the time period of Beowulf.
Both of these are important in regards to the uncertainty surrounding the Beowulf manuscript, as the works which it draws from or influences suggest time-frames of composition, geographic boundaries from which it could be composed, or range ( both spatial and temporal ) of influence ( i. e. when it was " popular " and where its " popularity " took it ).

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