Psychoanalyst Robert Stoller generalized many of the findings of the project in his book Sex and Gender: On the Development of Masculinity and Femininity ( 1968 ).

On the other hand, treating all charges on the same footing ( disregarding whether they are bound or free charges ), the generalized Ampère's equation, also called the Maxwell – Ampère equation, is in integral form ( see the " proof " section below ):

On the other hand, there are many theorems in Riemannian geometry which do not hold in the generalized case.

On July 24, 1974, the Supreme Court ruled that the Special Prosecutor did have the right to sue the President ; and that " the generalized assertion of privilege must yield to the demonstrated, specific need for evidence in a pending criminal trial ".

*, " On the theory of generalized Lamé functions ".

On the other hand, if one considers the ellipse embedded in the plane, then it would have measure zero, which is why a generalized function is used as the density.

* 1983 Stephen Cole Kleene for three important papers which formed the basis for later developments in generalized recursion theory and descriptive set theory: Arithmetical predicates and function quantifiers, Transactions of the American Mathematical Society 79 ( 1955 ), pp. 312-340 ; On the forms of the predicates in the theory of constructive ordinals ( second paper ), American Journal of Mathematics 77 ( 1955 ), pp. 405-428 ; and Hierarchies of number-theoretic predicates, Bulletin of the American Mathematical Society 61 ( 1955 ), pp. 193-213.

His works, published in Proceedings of the London Mathematical Society, were " Density integration " ( 53, 1951 ); " On the measure of sum sets ( I ) The theorems of Brunn, Minkowski, and Lusternik, ( with A. M. McBeath )" ( 3, 1953 ); " Linear functions with domain a real countably infinite dimensional space " ( 5, 1955 ); " Linear and bilinear functions with domain contained in a real countably infinite dimensional space " ( 6, 1956 ); " The use of convergence factors in Ward integration " ( 10, 1960 ); " The equivalence of generalized forms of the Ward, variational, Denjoy-Stieltjes, and Perron-Stieltjes integrals " ( 10, 1960 ); " N-variation and N-variational integrals of set functions " ( 11, 1961 ); " Definitions of Riemann type of the variational integrals " ( 11, 1961 ); " Difference-sets and the Banach – Steinhaus theorem " ( 13, 1963 ); " Generalized integrals of vector-valued functions ( 19 1969 )

On January 10, 1981 the Farabundo Martí National Liberation Front ( FMLN ) launched a generalized attack on the government which resulted in the regime receiving immediate military aid from the U. S., including military advisers.

On the other hand, slowing of all nerve conductions in more than one limb indicates generalized diseased nerves, or generalized peripheral neuropathy.

On May 31, a cacerolazo, with a following far less reduced than those of 2001-2, but generalized among middle-class neighborhood, organized through the internet protested against the introduction of controls on the foreign currency exchange market by Cristina Kirchner's government, rampant insecurity, a sense of disruption and infringement of civil right ’ s due to a new control of the afip ( irs ) to Argentine travelers which is not on its organic mandate, fiscal reform in the most populated Argentine province that would more than triple current land property tax and many allegedly corruption charges against government and policymakers

On the boundary the velocity of point is transformed as the particle underwent the action of generalized billiard law.

On a generalized logic calculus.

* Campisi, M. ( 2005 ) On the mechanical foundations of thermodynamics: The generalized Helmholtz theorem Studies in History and Philosophy of Modern Physics 36: 275 – 290

On 24 March 1976, President Isabel Perón was deposed by the military Junta, which in turn organized the so-called " National Reorganization Process " and generalized the " Dirty War ".

Bernhard Riemann in his memoir " On the Number of Primes Less Than a Given Magnitude " published in 1859 extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation and established a relation between its zeros and the distribution of prime numbers.

The functional equation was established by Riemann in his 1859 paper On the Number of Primes Less Than a Given Magnitude and used to construct the analytic continuation in the first place.

On the other hand, by the Riemann – Lebesgue lemma, the weak limit exists and is zero.

On a Riemann surface every point admits an open neighborhood

On a non-compact Riemann surface every meromorphic function can be realized as a quotient of two ( globally defined ) holomorphic functions.

Riemannian geometry originated with the vision of Bernhard Riemann expressed in his inaugurational lecture Ueber die Hypothesen, welche der Geometrie zu Grunde liegen ( English: On the hypotheses on which geometry is based ).

On the other hand, Hodge theory shows that the genus coincides with the ( C -) dimension of space of holomorphic one-forms on X, so the genus also encodes complex-analytic information about the Riemann surface.

On a general Riemann surface of genus g, K has degree 2g − 2, independently of the meromorphic form chosen to represent the divisor.

On surfaces any almost complex structure is integrable, so this turns the given surface into a Riemann surface.

On the other hand, there are also integrals that have an improper Riemann integral but do not have a ( proper ) Lebesgue integral, such as.

On Dirichlet series generating functions it corresponds to division by the Riemann zeta function.

* Bernhard Riemann publishes his paper on number theory, die Anzahl der Primzahlen unter einer gegebenen (" On the Number of Primes Less Than a Given Magnitude ") including the Riemann zeta function and Riemann hypothesis.

Euler generalised the problem considerably, and his ideas were taken up years later by Bernhard Riemann in his seminal 1859 paper On the Number of Primes Less Than a Given Magnitude, in which he defined his zeta function and proved its basic properties.

" die Anzahl der Primzahlen unter einer gegebenen " ( usual English translation: " On the Number of Primes Less Than a Given Magnitude ") is a seminal 10-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin.

On Riemann surfaces, isometries are identical to changes of coordinate: that is, both the Laplace – Beltrami operator and the curvature are invariant under isometries.

Winter, " On the zeros of the Riemann zeta function in the critical strip ", IV, Math.

In his 1859 paper On the Number of Primes Less Than a Given Magnitude Riemann found an explicit formula for the normalized prime-counting function π < sub > 0 </ sub >( x ) which is related to the prime-counting function π ( x ) by

On the contrary, rectangular matrices do not have the same number of rows and columns so they can never be raised to a power.

On the other hand, if the non-zero entries are only required to be non-zero, but not necessarily invertible, this set of matrices forms a semigroup instead.

* J. H. C. Whitehead, On incidence matrices, nuclei and homotopy types, Ann.

On advice from her mathematician father, Flannery decided to use matrices to implement Purser's scheme as matrix multiplication has the necessary property of being non-commutative.

These were " On interval functions and their integrals " I ( 21, 1946 ) and II ( 23, 1948 ); " The efficiency of matrices for Taylor series " ( 22, 1947 ); " The efficiency of matrices for bounded sequences " ( 25, 1950 ); " The efficiency of convergence factors for functions of a continuous real variable " ( 30, 1955 ); " A new description of the Ward integral " ( 35 1960 ); and " The integrability of functions of interval functions " ( 39 1964 ).

" On July 27, 1868, the day before the Fourteenth Amendment was adopted, U. S. Congress declared in the preamble of the Expatriation Act that " the right of expatriation is a natural and inherent right of all people, indispensable to the enjoyment of the rights of life, liberty and the pursuit of happiness ," and ( Section I ) one of " the fundamental principles of this government " ( United States Revised Statutes, sec.

In " Mémoire sur la combustion en général " (" On Combustion in General ," 1777 ) and " Considérations générales sur la nature des acides " (" General Considerations on the Nature of Acids ," 1778 ), he demonstrated that the " air " responsible for combustion was also the source of acidity.

On hearing that God had blessed Obed-edom because of the presence of the Ark in his house, David had the Ark brought to Zion by the Levites, while he himself, " girded with a linen ephod ," " danced before the Lord with all his might " and in the sight of all the public gathered in Jerusalem — a performance that caused him to be scornfully rebuked by his first wife, Saul's daughter Michal ( 2 Sam.

On 1 December 2009, Standard and Poors upgraded Bulgaria's investment outlook from " negative " to " stable ," which made Bulgaria the only country in the European Union to receive positive upgrade that year.

* Serge Vaudenay, " On the weak keys of Blowfish ," Fast Software Encryption ( FSE ' 96 ), LNCS 1039, D. Gollmann, Ed., Springer-Verlag, 1996, pp. 27 – 32.

In his On the Will in Nature, " Physiology and Pathology ," Schopenhauer said that a concept is " drawn off from previous images ... by putting off their differences.

On May 1, 1985 President Reagan announced that his administration perceived Nicaragua to be " an unusual and extraordinary threat to the national security and foreign policy of the United States ," and declared a " national emergency " and a trade embargo against Nicaragua to " deal with that threat.

* Kornfelt, M .: " On the destructive action of cavitation ," Journal of applied Physics No. 15, 1944.

" On the foundations of logic and arithmetic ," 129 – 38.

" On the infinite ," 367 – 92.

" On his view ," he writes, " the moralist is not like a courtroom judge, who resolves disputes.

On May 14, he was breveted a colonel in the Continental Army in " reward of his fortitude, firmness and zeal in the cause of his country, manifested during his long and cruel captivity, as well as on former occasions ," and given military pay of $ 75 per month.

* " On Thin Ice: How Advocates and Opponents Could Misread the Public's Views on Vouchers and Charter Schools ," Public Agenda, 1999 Public opinion study that concluded most Americans did not understand the voucher concept, even in communities that already had such programs.

On his second visit early in the following year, he remained at Ephesus " three years ," for he found it was the key to the western provinces of Asia Minor.

In his " On the Nature of Things ," Lucretius appears to suggest this in the best-known passage on Epicurus ' position.

* English translation: " On the Theory of Games of Strategy ," in A. W. Tucker and R. D. Luce, ed.

G. E. Moore, On Defining " Good ," in Analytic Philosophy: Classic Readings, Stamford, CT: Wadsworth, 2002, pp. 1 – 10.

On some of the most damaging correspondence, Blaine had written " Burn this letter ," giving Democrats the last line to their rallying cry: " Blaine, Blaine, James G. Blaine, the continental liar from the state of Maine, ' Burn this letter!

On Sunday, 20 September 2009, MacLeod spoke at The " Rock Church ," in Anaheim, California.

The opening song, " Cattitude " can be heard on the national tour's website, along with two more, " On the Fence ," and " Going Home !".

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 ").

On poverty, Hoover said that " Given the chance to go forward with the policies of the last eight years, we shall soon with the help of God, be in sight of the day when poverty will be banished from this nation ", and promised, " We in America today are nearer to the final triumph over poverty than ever before in the history of any land ," but within months, the Stock Market Crash of 1929 occurred, and the world's economy spiraled downward into the Great Depression.

On 3 July 2009, the Board of Governors voted to appoint Yukiya Amano " by acclamation ," and IAEA General Conference in September 2009 approved.

These include " On the Subject of Knowledge ," " On the Monarchy ," or " How God is not the Cause of Evil ", " On the Ogdoad ," an untitled letter to Blastus regarding schism, and others.