; Balanced design: An experimental design where all cells ( i. e. treatment combinations ) have the same number of observations.

Compound comparisons typically compare two sets of groups means where one set has two or more groups ( e. g., compare average group means of group A, B and C with group D ).

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.

where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.

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.

In Analytical Geometry a section of a line can be given by the formula where ( c, d )&( e, f ) are the endpoints of the line & m: n is the ratio of division

This case is also used for nouns in several other senses, e. g., where the action occurs " because of " or " without " a certain noun ; nouns indicating distance or direction.

* 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 ).

where e is the elementary charge and I is the average current.

This view parted with the Jewish scriptures, where Israel offered praise with instruments by God's own command ( e. g.: 2 Chronicles 29: 25 ).

If, in an unsharp image, a patch of light corresponds to an object point, the center of gravity of the patch may be regarded as the image point, this being the point where the plane receiving the image, e. g., a focusing screen, intersects the ray passing through the middle of the stop.

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 ).

There are, however, stronger ones that are simply pre-mixed spirits ( e. g. Bacardi Rum Island Iced Tea ), often containing about 12. 5 % alcohol by volume, that can be sold only where hard liquor is available.

e, where e is the identity element.

Subsequently, the accelerative force on any given ion is controlled by the electrostatic equation, where n is the ionisation state of the ion, and e is the fundamental electric charge.

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.

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

where k has the same p, and opposite σ and sign of the energy.

where k < sub > B </ sub > is Boltzmann's constant, T is the temperature, R is the resistance, and is the bandwidth of the frequency.

This involves an auxiliary regression, wherein the residuals obtained from estimating the model of interest are regressed on ( a ) the original regressors and ( b ) k lags of the residuals, where k is the order of the test.

The fundamental theorem of arithmetic states that any positive integer n can be represented uniquely as a product of powers of primes: where p < sub > 1 </ sub > < p < sub > 2 </ sub > < ... < p < sub > k </ sub > are primes and the a < sub > j </ sub > are positive integers.

The properties of binomial coefficients have led to extending the meaning of the symbol beyond the basic case where n and k are nonnegative integers with ; such expressions are then still called binomial coefficients.

Another occurrence of this number is in combinatorics, where it gives the number of ways, disregarding order, that k objects can be chosen from among n objects ; more formally, the number of k-element subsets ( or k-combinations ) of an n-element set.

This shows in particular that is a natural number for any natural numbers n and k. There are many other combinatorial interpretations of binomial coefficients ( counting problems for which the answer is given by a binomial coefficient expression ), for instance the number of words formed of n bits ( digits 0 or 1 ) whose sum is k is given by, while the number of ways to write where every a < sub > i </ sub > is a nonnegative integer is given by.

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

The same number however occurs in many other mathematical contexts, where it is denoted by ( often read as " n choose k "); notably it occurs as coefficient in the binomial formula, hence its name binomial coefficient.

where i, j, and k are the unit vectors for the x -, y -, and z-axes, respectively.

That is a non-deterministic Turing machine with a tape of only kn cells, where n is the size of the input and k is a constant associated with the machine.

where E < sub > a </ sub > is the activation energy and k < sub > B </ sub > is the Boltzmann constant.

where and h and k are the distances between the successive pentagons on the virus surface for each axis ( see figure on right ).

After completing high school Doppler studied philosophy in Salzburg and mathematics and physics at the k. k. Polytechnisches Institut ( now Vienna University of Technology ) where he worked as an assistant since 1829.

The term " discothèque " was coined in Europe to describe clubs where there was no live music played ( a. k. a. disk-only events ).

where m is the mass and k is the spring constant that represents a measure of spring stiffness.

where a is the radius of the circular aperture, k is equal to 2π / λ and J < sub > 1 </ sub > is a Bessel function.