So what Fred and Ralph did was to attempt to prorate the money fairly by taking into account what each of the five had received, if anything, from the estate before Papa's death.

So our innate generosity of spirit prompts us to share our trials, errors and solutions with any who are taking the pool plunge for the first time -- in the pious hope that some may profit from our experience.

The first single, " On Point ," is noted for taking a swipe at another American rapper who claimed Irish heritage, " Marky Mark " ( Mark Wahlberg ) (" Calvin Klein's no friend of mine / So I don't like Marky ").

So presuming there is a god-like entity consciently taking actions, we cannot comprehend the limits of a deity's powers.

So, " integrating " F over two boundary points a, b is taking the difference F ( b ) − F ( a ).

So, to think that omnipotence is an epistemological paradox is like failing to recognize that, when taking the statement, ' I am a liar ' self-referentially, the statement is reduced to an actual failure to lie.

So Jean began taking lessons from a local amateur magician.

So some of the main results of the Peloponnesian War had been undone-Athens regained her position as a major power in Greece, and though she had still lost her empire, Sparta had been prevented from taking it over.

So evaluation can be formative, that is taking place during the development of a concept or proposal, project or organization, with the intention of improving the value or effectiveness of the proposal, project or organisation.

So when Polymestor was instigated by the Greeks to kill the son of Priam, he killed Deipylus instead, taking him for Polydorus.

So in that sense, we are all moderates – taking the middle path.

So the inhabitants are killed, and Ruapupuke burns the house, taking some of the carvings back with him to use as a model for carving in the human world ( Tregear 1891: 350 )

: Moe: So help me boys, after taking out expenses, there ain't enough to feed a mouse.

So too, many of the spirits especially concerned with the operations of nature are conceived as neutral or even benevolent ; the European peasant fears the corn-spirit only when he irritates him by trenching on his domain and taking his property by cutting the corn ; similarly, there is no reason why the more insignificant personages of the pantheon should be conceived as malevolent, and we find that the Petara of the Dyaks are far from indiscriminating and malignant, being viewed as invisible guardians of mankind.

So they set out taking Araya's Camaro and U-Haul.

" So His-Swift-Impetuous-Male-Augustness, at once taking and changing the young girl into a multitudinous and close-toothed comb which he stuck into his august hair-bunch, said to the Deities Foot-Stroking-Elder and Hand-Stroking-Elder: " Do you distill some eight-fold refined liquor.

So we are taking the initiative and are asking the young people of Scotland to make their views known about Scotland's constitutional future!

Their first album Playing with a Different Sex is considered a post-punk classic with strong, sarcastic songs like " It's Obvious " and " We're So Cool " taking a dry look at gender relations.

So, therefore, this Star Fox game, and it's cancelled ( yet almost fully completed ) sequel Star Fox 2, can be considered to be taking place in an alternate universe ( or timeline ) to the current Star Fox games.

* D is an elliptic differential operator from E to F. So in local coordinates it acts as a differential operator, taking smooth sections of E to smooth sections of F.

So soon, however, as he perceived that things were in readiness, he stepped quickly into the wagon, and at this moment he appeared to shrink, but instantly elevating his head with firmness he said, " It will be but a momentary pang ," and taking from his pocket two white handkerchiefs, the provost-marshal, with one, loosely pinioned his arms, and with the other, the victim, after taking off his hat and stock, bandaged his own eyes with perfect firmness, which melted the hearts and moistened the cheeks, not only of his servant, but of the throng of spectators.

So perhaps the price of continuous motion is not an infinity of consecutive actions, but an infinity of concurrent actions taking place across the multiverse .” January, 2001 The Discrete and the Continuous, an abridged version of which appeared in The Times Higher Education Supplement.

So if we decrease the use of carbon dioxide, are we not taking away plant food from the atmosphere?

So we thought nothing of taking these and eating a firm part to at least slightly satisfy our hunger ...."

So, for example, while R < sup > n </ sup > is a Banach space with respect to any norm defined on it, it is only a Hilbert space with respect to the Euclidean norm.

So the mission of St. Stephen was to grant a norm to Hungary through the Holy Crown ( also called the Doctrine of the Holy Crown ).

So customary units are still widely used on consumer products and in industrial manufacturing ; only in military, medical, and scientific contexts are SI units generally the norm.

So we define the operator norm of A as

So long as these enhancements remain within a perceived norm of human behavior, a negative reaction is unlikely, but once individuals supplant normal human variety, revulsion can be expected.

So the choice of the constant C < sub > k </ sub > is especially important-taking too small value will lead to fast growth of the norm of b < sub > k </ sub > and to the overflow ; for too big C < sub > k </ sub > vector b < sub > k </ sub > will tend to zero.

So Kelsen calls it, elliptically, a ' basic norm ( Grundnorm )'.

So, define the physical Hilbert space to be the quotient space of the three polarization subspace by its zero norm subspace.

So there must exist a polynomial g with ( infinity ) norm 1 / 90 such that f + g has ( at least ) a root on the unit circle.

So the wavefunction matrix elements obey:

So in the basis ( which is neither orthogonal nor a basis of the whole space ) the action of applying followed by is given by the matrix

So that the total probability will be preserved, K is what is called a stochastic matrix.

So for each list, we will have an matrix of zeroes and ones: is 1 if intervals and intersect, and 0 if they do not intersect.

So use the inverse transpose of the linear transformation ( the upper 3x3 matrix ) when transforming surface normals.

So A is a 3-by-3 matrix with 3 different eigenvalues, therefore it is diagonalizable.

So there exists an invertible matrix P such that P < sup >- 1 </ sup > AP = J is such that the only non-zero entries of J are on the diagonal and the superdiagonal.

So an atomic lower triangular matrix is of the form

This means that is an-valued 2-form on M. So can be regarded as a skew-symmetric 2n × 2n matrix whose entries are 2-forms, so it is a matrix over the commutative ring.

So in order to implement his program, Heisenberg needed to use the old quantum condition to fix the energy levels, then fill in the matrices with Fourier coefficients of the classical equations, then alter the matrix coefficients and the energy levels slightly to make sure the classical equations are satisfied.

So the values p, q and r are also called the dimensions of the positive-definite, negative-definite and null vector subspaces of the whole vector space V that correspond to the matrix A.

So, many eigenvalue algorithms, when applied to a Hermitian matrix, reduce the input Hermitian matrix to tridiagonal form as a first step.

So, at every iteration, the vector b < sub > k </ sub > is multiplied by the inverse of the matrix and normalized.

So proper conversion of Y ′ CbCr from one form to the other is not just a matter of inverting one matrix and applying the other.

So, the determinant of a positive definite matrix is less than or equal to the product of its diagonal entries.

So it suffices to show that ( dQ / ds ) Q < sup > T </ sup > is a skew-symmetric matrix.

So, if a matrix decomposition of a matrix A is such that:

So the ensemble is described by the density matrix

So equivalently, U < sub > k </ sub > and V < sub > k </ sub > construct a rank-two update matrix which is robust against the scale problem often suffered in the gradient descent searching ( e. g., in Broyden's method ).

So, if we make any arbitrary but fixed choice for the phases, then each of the matrix components in the previous paragraph has to be invariant under the rotations about the z-axis.