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.

The word labyrinthos ( Mycenaean daburinthos < ref > da-pu < sub > 2 </ sub >- ri-to-yo po-ti-ni-ja ( KN Gg 702 ), daburinthoyo potnia meaning " mistress or lady of the Labyrinth ".</ ref >) may possibly show the same equivocation between initial d-and l-as is found in the variation of the early Hittite royal name Tabarna / Labarna ( where written t-may represent phonetic d -).

where σ determines the spread of k < sub > 1 </ sub >- values about k, and N is the amplitude of the wave.

A subbase for the weak topology is the collection of sets of the form φ < sup >- 1 </ sup >( U ) where φ ∈ X < sup >*</ sup > and U is an open subset of the base field K. In other words, a subset of X is open in the weak topology if and only if it can be written as a union of ( possibly infinitely many ) sets, each of which is an intersection of finitely many sets of the form φ < sup >- 1 </ sup >( U ).

Refractive index contrast, Δ, is given by Δ = ( n < sub > 1 </ sub >< sup > 2 </ sup >- n < sub > 2 </ sub >< sup > 2 </ sup >)/( 2n < sub > 1 </ sub >< sup > 2 </ sup >), where n < sub > 1 </ sub > is the maximum refractive index in the core and n < sub > 2 </ sub > is the refractive index of the homogeneous cladding.

Let ( S, f ) be a game with n players, where S < sub > i </ sub > is the strategy set for player i, S = S < sub > 1 </ sub > × S < sub > 2 </ sub > ... × S < sub > n </ sub > is the set of strategy profiles and f =( f < sub > 1 </ sub >( x ), ..., f < sub > n </ sub >( x )) is the payoff function for x S. Let x < sub > i </ sub > be a strategy profile of player i and x < sub >- i </ sub > be a strategy profile of all players except for player i. When each player i < nowiki >

Let ( M, g ) be a Riemannian manifold and ƒ: M < sup > m </ sup > → R < sup > n </ sup > a short C < sup >∞</ sup >- embedding ( or immersion ) into Euclidean space R < sup > n </ sup >, where n ≥ m + 1.

The palace is called a ' Big House ' ( Cuneiform: E < sub > 2 </ sub >. GAL Sumerian e < sub > 2 </ sub >- gal Akkdian: ekallu ) where the lugal or ensi lived and worked.

where p < sub > i </ sub > ( Cm < sup >- 2 </ sup > K < sup >- 1 </ sup >)

Because of their extreme masses they have short lifespans of 30 million years down to a few hundred thousand years ( by the calculation M < sup >- 2. 5 </ sup > × 10 < sup > 10 </ sup > where M = mass in sols ).

where represent the coordinates of w, v ∈ V in some particular F < sub > q² </ sub >- basis of the n-dimensional space V.

A mezzo-soprano (; ; meaning " half soprano " in Italian ) is a type of classical female singing voice whose range lies between the soprano and the contralto singing voices, usually extending from the A below middle C to the A two octaves above ( i. e. A < sub > 3 </ sub >- A < sub > 5 </ sub > in scientific pitch notation, where middle C = C < sub > 4 </ sub >).

If the parasite is self fertilizing then the chance of successful reproduction is 1-e < sup >- m </ sup > where m is the proportion of the population parasitised.

e < sup >- m </ sup >) where the sum is taken between n

where x, y, and z are pure in the Z < sub > 2 </ sub >- grading.

* A forward-backward asymmetry is defined as A < sub > FB </ sub >=( N < sub > F </ sub >- N < sub > B </ sub >)/( N < sub > F </ sub >+ N < sub > B </ sub >), where N < sub > F </ sub > is the number of events in which some particular final-state particle is moving " forward " with respect to some chosen direction ( e. g., a final-state electron moving in the same direction as the initial-state electron beam in electron-positron collisions ), while N < sub > B </ sub > is the number of events with the final-state particle moving " backward ".

* A left-right asymmetry is defined as A < sub > LR </ sub >=( N < sub > L </ sub >- N < sub > R </ sub >)/( N < sub > L </ sub >+ N < sub > R </ sub >), where N < sub > L </ sub > is the number of events in which some initial-or final-state particle is left-polarized, while N < sub > R </ sub > is the corresponding number of right-polarized events.

In the case where A = L < sup > 1 </ sup >( R < sub >+</ sub >), the L < sup > 1 </ sup >- convolution algebra of the real half-line, then Φ < sub > A </ sub > is homeomorphic to

where X and Y are tangent vector fields on M and s is a section of E. One must check that F < sup >∇</ sup > is C < sup >∞</ sup >- linear in both X and Y and that it does in fact define a bundle endomorphism of E.

In the case that V is a non-singular algebraic curve and i = 1, H < sup > 1 </ sup > is a free Z < sub > l </ sub >- module of rank 2g, dual to the Tate module of the Jacobian variety of V, where g is the genus of V. Since the first Betti number of a Riemann surface of genus g is 2g, this is isomorphic to the usual singular cohomology with Z < sub > ℓ </ sub > coefficients for complex algebraic curves.

The theorem states that an Artinian semisimple ring R is isomorphic to a product of finitely many n < sub > i </ sub >- by-n < sub > i </ sub > matrix rings over division rings D < sub > i </ sub >, for some integers n < sub > i </ sub >, both of which are uniquely determined up to permutation of the index i. In particular, any simple left or right Artinian ring is isomorphic to an n-by-n matrix ring over a division ring D, where both n and D are uniquely determined.

which has the dimension < sup >- 3 </ sup > ( where L is length ).

It is translated into the rough ER where the Glc < sub > 3 </ sub >- Man < sub > 9 </ sub >- GlcNac < sub > 2 </ sub > oligosaccharide is added by a dolichol-containing protein, to an NXS motif on VSIV G. Sugars are removed gradually as the protein travels to the Golgi apparatus, and it becomes resistant to endoglycosidase H.