Both proofs used methods from complex analysis, establishing as a main step of the proof that the Riemann zeta function ζ ( s ) is non-zero for all complex values of the variable s that have the form s = 1 + it with t > 0.

Both proofs use a global argument.

Both in the " solemn " and the " summary " acquittals, not proven is interpreted as indicating that the jury or judge, respectively, is not convinced of the innocence of the accused ; in fact, they may be morally convinced that the accused is guilty, but do not find the proofs sufficient for a conviction.

Both Secretary of War Baker and Secretary of Navy Daniels devoted much time and effort to the problem of providing reasonably normal and wholesome activities in camp for the millions of men who had been removed from their home environment.

Both of them had known the feeling of the small life in her waiting, ready, for the two of them to run up her sails.

Both of these systems are essential for the production, development, and use of the National Forests.

Both turned in top jobs for the second straight game.

Both these analyses require homoscedasticity, as an assumption for the normal-model analysis and as a consequence of randomization and additivity for the randomization-based analysis.

Both orders have therefore been stable for at least 3000 years.

* Arminianism denies Jesus ' substitutionary payment for sins – Both Arminius and Wesley believed in the necessity and sufficiency of Christ's atonement through penal substitution.

Both the Latin and the Germanic words derive from the Proto-Indo-European root el -, meaning " red " or " brown ", which is also a root for the English words " elk " and another tree: " elm ", a tree distantly related to the alders.

Both Emerson and Sam May assisted in securing the home for the Alcotts.

Both first-generation ( such as amitriptyline ) and newer anti-depressants ( such as duloxetine ) are used alongside NSAIDs and opioids for pain involving nerve damage and similar problems.

Both opioids and amphetamines induce a therapeutic response very quickly, showing results within twenty-four to forty-eight hours ; the therapeutic ratios for both opioids and amphetamines are greater than those of the tricyclic anti-depressants.

Both figures exert a negative effect on humanity when their influence becomes misplaced or one-sided, yet their influences are necessary for human freedom to unfold.

Both surface and body forces are accounted for in this equation.

Both the highest and lowest temperature records for the state were set in the Interior, with 100 ° F ( 38 ° C ) in Fort Yukon and − 80 ° F (− 64 ° C ) in Prospect Creek.

In response to the question “ Which side does Abner part his hair on ?," Capp would answer, “ Both .” Capp said he finally found the right " look " for Li ' l Abner with Henry Fonda's character Dave Tolliver, in The Trail of the Lonesome Pine ( 1936 ).

Both the F-14 Tomcat and AIM-54 Phoenix missile continue in the service of the Islamic Republic of Iran Air Force, although the operational abilities of these aircraft and the missiles are questionable, since the US refused to supply spare parts and maintenance after the 1979 revolution ; except for a brief period during the Iran-Contra Affair.

Both actions would increase demand for US dollars and supply of Canadian dollars.

Both trios were composed during Beethoven's stay at Countess Marie von Erdödy's estate, and both are dedicated to her for her hospitality.

Both countries are full members of the Southeast European Cooperation Process, of the Southeast European Cooperative Initiative, of the Stability Pact for South Eastern Europe, of the Organization for Security and Co-operation in Europe and of the Council of Europe.

Both countries are full members of the Union for the Mediterranean, of the Organization for Security and Co-operation in Europe and of the Council of Europe.

Both countries are full members of the Organization for Security and Co-operation in Europe and of the Council of Europe.

Both countries are full members of the Union for the Mediterranean, of the Southeast European Cooperation Process, of the Southeast European Cooperative Initiative, of the Organization for Security and Co-operation in Europe and of the Council of Europe.

Both the Cape Colony and the Colony of Natal had Irish prime ministers: Sir Thomas Upington, " The Afrikaner from Cork "; and Sir Albert Hime, from Kilcoole in County Wicklow.

Both came to the throne in the prime of manhood.

Both the syndicated and NBC prime time versions featured the same two contestants playing for the entire half-hour with each completed game worth $ 300 ( NBC prime time ) or $ 250 ( syndicated ).

Both Time and Life magazines did stories on Nanty Glo as their prime exhibit for their coverage of President Franklin Delano Roosevelt's taking control of the nation's coal mines after mine workers defied a Congressional law by going on strike at the height of World War Two.

Both have been used effectively to aid the search for large prime numbers.

Both parties held Communist ideologies, which resulted in Smith's strong opposition: Soon after he became prime minister in 1964, Smith imprisoned the entire leadership of the black nationalist movement, resulting in the widespread rioting in Salisbury and the arrest of 250 black Rhodesians.

Both are written as exponentiation modulo a composite number, and both are related to the problem of prime factorization.

Both the Federal Constitution of 1949 and the Provisional Constitution of 1950 were parliamentary in nature, where executive authority laid with the prime minister, and which — on paper — limited presidential power.

Both men were in the prime of their careers and the fight was the highest grossing non-heavyweight boxing encounter until Mayweather vs. De La Hoya years later.

Both of these specials were largely made up of kinescoped clips used at the tribute from " Tonight " and from Paar's prime time program, to which he maintained the copyright.

Both Caetano ( the prime minister ) and Américo Tomás ( the President ) fled to Brazil.

Both requests were turned down by the British prime minister Anthony Eden, and a year later France signed the Treaty of Rome with Germany and the other founding nations of the Common market.

( Both his terms ended after the ruling Indian National Congress party procedurally elected a new prime minister.

Both the 1946 and 1959 Constitutions state that the National Assembly had the power to appoint and relieve the prime minister of his duties.

Both highlighted a new lush styling for the band as Mushroom and Infectious attempted to prime them for an overseas market.

Both Sutan and Amir served terms as prime minister, while other Socialist Party members held senior cabinet posts.

Both Chatham and Calgary attracted the ambitious and able young Maritime lawyer Richard Bedford Bennett, later to be prime minister of Canada.

Both the British and French prime ministers and their military advisers were of one mind in deciding to retake Trondheim, link up with the Norwegians and block a German advance north.

Both the prime mover and the HEP genset share their fuel reserves.

Both Deputy prime ministers do not have ministerial portofolios.