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.

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 >.

After Christians in Ephesus first wrote to their counterparts recommending Apollos to them, he went to Achaia where Paul names him as an apostle ( 1 Cor 4: 6, 9-13 ) Given that Paul only saw himself as an apostle ' untimely born ' ( 1 Cor 15: 8 ) it is certain that Apollos became an apostle in the regular way ( as a witness to the risen Lord and commissioned by Jesus-1 Cor 15: 5-9 ; 1 Cor 9: 1 ).< ref > So the Alexandrian recension ; the text in < sup > 38 </ sup > and Codex Bezae indicate that Apollos went to Corinth.

auxiliary regression is TR < sup > 2 </ sup >, where T is the sample size and R < sup > 2 </ sup > is the coefficient of determination.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

where n > 1 is an integer and p, q, and r are prime numbers, then 2 < sup > n </ sup >× p × q and 2 < sup > n </ sup >× r are a pair of amicable numbers.

where A, B, S and T are active masses and k < sub >+</ sub > and k < sub >−</ sub > are rate constants.

Its high coordination number and softness ( tendency to form covalent bonds ) are the basis of the separation of Cs < sup >+</ sup > from other cations, as is practiced in the remediation of nuclear wastes, where < sup > 137 </ sup > Cs < sup >+</ sup > is separated from large amounts of nonradioactive K < sup >+</ sup >.

Electrochemical reactions in water are better understood by balancing redox reactions using the ion-electron method where H < sup >+</ sup >, OH < sup >–</ sup > ion, H < sub > 2 </ sub > O and electrons ( to compensate the oxidation changes ) are added to cell's half-reactions for oxidation and reduction.

where V < sub >+</ sub > is the voltage at the non-inverting terminal, V < sub >−</ sub > is the voltage at the inverting terminal and A < sub > OL </ sub > is the open-loop gain of the amplifier ( the term " open-loop " refers to the absence of a feedback loop from the output to the input ).

The main aqueous species are the aquo complexes < sup >+</ sup >, where n = 4 – 6.

Unstable atomic nuclei with an excess of protons may undergo β < sup >+</ sup > decay, also called positron decay, where a proton is converted into a neutron, a positron and an electron-type neutrino:

where E < sup >+</ sup > ( the " electrophile ") = Cl < sup >+</ sup >, NO < sub > 2 </ sub >< sup >+</ sup >, SO < sub > 3 </ sub >.

where HA is a generic acid that dissociates by splitting into A < sup >−</ sup >, known as the conjugate base of the acid, and the hydrogen ion or proton, H < sup >+</ sup >, which, in the case of aqueous solutions, exists as a solvated hydronium ion.

Four of these are c < sup >+</ sup >, c < sup > b </ sup >, c < sup > s </ sup >, and c < sup > a </ sup > ( standard, Birman, siamese, and albino, respectively ), where the first allele is completely dominant to the last three, and the last is completely recessive to the first three.

Ammonium is also a general name for positively charged or protonated substituted amines and quaternary ammonium cations ( NR < sub > 4 </ sub >< sup >+</ sup >), where one or more hydrogen atoms are replaced by organic radical groups ( indicated by R ).

For example, if a concentration gradient was established by dissolving KCl in half of a divided vessel that was originally full of H < sub > 2 </ sub > O, and then a membrane permeable to K < sup >+</ sup > ions was introduced between the two halves — empirically, an equilibrium situation would arise where the chemical concentration gradient ( that would normally cause ions to move from the region of high concentration to the region of low concentration ) could be balanced by an electrical gradient that opposes the movement of charge.

With A factored as UΣV < sup > T </ sup >, a satisfactory solution uses the Moore-Penrose pseudoinverse, VΣ < sup >+</ sup > U < sup > T </ sup >, where Σ < sup >+</ sup > merely replaces each non-zero diagonal entry with its reciprocal.

where Σ < sup >+</ sup > is the pseudoinverse of Σ, which is formed by replacing every nonzero diagonal entry by its reciprocal and transposing the resulting matrix.

Double-positive thymocytes ( CD4 < sup >+</ sup >/ CD8 < sup >+</ sup >) move deep into the thymic cortex where they are presented with self-antigens.