Another reason can be seen by looking at the formula for the kurtosis of the sum of random variables.

Another, more general, approach is to minimize the sum of squares of the errors defined in the form

Another similar case ( contrary to what Vacca has written, as Freudenthal carefully showed ) was that of Francesco Maurolico in his Arithmeticorum libri duo ( 1575 ), who used the technique to prove that the sum of the first n odd integers is n < sup > 2 </ sup >.

Another way of highlighting the complaint is to say that in utilitarianism “ there is no such thing as morally permissible self-sacrifice that goes above and beyond the call of duty .” Mill was quite clear about this, “ A sacrifice which does not increase, or tend to increase, the sum total of happiness, it considers as wasted .”

Another treaty with King Eric II of Norway was hammered out, in which for the sum of 50, 000 groats he would supply 100 ships for four months of the year, so long as hostilities between France and England continued.

Another operation, which is used less often, is the direct sum ( denoted by ⊕).

Another early Berkeley Heights community of note is the Free Acres, established in 1910 by Bolton Hall, a New York entrepreneur and reformer who believed in the idea of Henry George, the economist, of single taxation, under which residents pay tax to the community, which, in turn, pays a lump sum to the municipality.

Another criticism is that the paradox only considers utility at one point in time, instead of taking into account the population's sum utility over time.

Another important case is finding a decomposition of a vector bundle V of rank n as a Whitney sum ( direct sum ) of sub-bundles of rank k and n-k, resulting in reduction of the structure group from GL ( n, R ) to GL ( k, R ) × GL ( n-k, R ).

Another common activity that was troublesome if not disruptive was the practice of offering a sum of money beyond the selling price to individuals selling desirable goods, or giving something special as partial payment for products in short supply, the so called Bückware ( duck goods ; sold from " below the counter ").

Another way in which 118 is the smallest is that there are no smaller integers that can be expressed as the sum of three integers such that each set of three has the same product.

Another relation between octahedral numbers and tetrahedral numbers is also possible, based on the fact that an octahedron may be divided into four tetrahedra each having two adjacent original faces ( or alternatively, based on the fact that each square pyramidal number is the sum of two tetrahedral numbers ):

Another convenient form arises if the σ < sub > i </ sub > are assumed to be identical and the residual sum of squares ( RSS ) is available.

Another central tenet is that the whole is greater than the sum of the parts.

Another exception is that part payment of the debt by a third party as consideration for a promise to discharge the creditor from the full sum, prevents the creditor then suing the debtor for full payment ( see Welby v Drake ).

Another common misconception in web analytics is that the sum of the new visitors and the repeat visitors ought to be the total number of visitors.

Another commonly used measure that summarizes the total diffusivity is the Trace — which is the sum of the three eigenvalues,

Another approach to find a point within the triangle, from where sum of the distances to the vertices of triangle is minimum, is to use one of the optimization ( mathematics ) methods.

Another task of the Golgi involves the sulfation of certain molecules passing through its lumen via sulfotranferases that gain their sulfur molecule from a donor called PAPs.

Another example, a molecule or atom that has a more positive value of electron affinity than another is often called an electron acceptor and the less positive an electron donor.

Another one of Joey's jobs when he was low on money was as a sperm donor for an experiment that a hospital was conducting ; at the end, the hospital would pay any donor $ 700.

Another important donor, Robert Ortenzio, provided the largest single gift by a living person in the history of the College, by giving $ 2 million.

Another publication that is made available at higher donor levels is Illuminations, a comprehensive guide to each year's plays that includes synopses, themes, information on playwrights and historical and other contextual information to better understand the plays themselves.

Another brother, Washington Singer, became a substantial donor to the University College of the southwest of England, which later became the University of Exeter ; one of the university's buildings is named in his honor.

Another study has found that embryos created for one couple, using an egg donor, are often made available for donation to another couple if the first couple chooses not to use them.

Another car was coming, a tiny, dark shape on a far hill.

Another source of intellectual stimulus was opened to her at that time by the founding of Johns Hopkins University within walking distance of home.

Another good friend of the Coolidges' was George B. Harvey, who was the Ambassador to Great Britain from 1921 to 1923.

Another Indiana observer later commented, `` Perhaps we shall never know how much was spent ( by Hearst ), but if as much money was expended elsewhere as in Indiana a liberal fortune was squandered ''.

Another classic sight that gave us considerable pleasure was the Evzone sentry, in his ballet skirt with great pompons on his shoes, who was patrolling up and down in front of the palace.

Another powerful factor in the European movement was the threat of Soviet aggression.

Another remained when an American Army car was recovered but with a broken glass.

Another evidence of the spreading rule of reason was provided from Mexico City with the daily hijacking of an American plane by a demented Algerian with a gun.

Another optimistic sign, this one from the Labor Department, was the report that the long rise in unemployment compensation payments `` was interrupted for the first time in the week ending Feb. 25 ''.

Another question that arose was the nature of the dialogue itself.

Another question that was asked of the assessors was whether they favored the assessment of movable property at its location or at the residence of the owner.

Another recent achievement was the successful development of a method for the complete combustion in a bomb calorimeter of a metal in fluorine when the product is relatively non-volatile.

Another strategy -- bolder and tougher -- was also attracting notice in Washington: a naval and air blockade to cut Cuba off from the world, destroy Castro.

Another example is the recent cancellation of the F-108, a long-range interceptor with a speed three times as great as the speed of sound, which was designed for use against manned bombers in the period of the mid-1960's.

Another veteran telephone operator was Edith Fleming Blackmer, who had been in the office forty years at the time of her death in 1960.

Another cure for hydrophobia was to suck the wounds, then cauterize them with a hot knife or poker.

Another way to remove small objects from the eye was to have the person look cross-eyed ; ;

Another remedy was oil of eucalyptus, used as well for chilblains.

Another poultice was made from the inner bark of the elm tree, steeped in water until it formed a sticky, gummy solution.