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 of the proofs ( for prime moduli ) make use of the fact that the residue classes modulo a prime number are a field.

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

Both terms anti-Semitism and antisemitism are in common use.

Both TRAM and DIEP / SIEP use the abdominal tissue between the umbilicus and the pubis.

Both use the term simply to mean a swift strategic knockout.

Both the Official IRA and Provisional IRA had established " no-go " areas for the British Army and RUC in Derry through the use of barricades.

Both the first method for cladistic analysis and the school of taxonomy originated in the work of the German entomologist Willi Hennig, who referred to it as " phylogenetic systematics " ( also the title of his 1966 book ); the use of the terms cladistics and clade was popularized by other researchers.

Both countries share the use of English and French as the two official languages as well as memberships in the Francophonie and the Commonwealth.

Both the United States and European Union have limits to nitrogen oxide emissions, which necessitate the use of a special catalytic converter or treatment of the exhaust with urea ( see AdBlue ).

( Both Canadian and British English use balloted and profiting.

Both are valued for their abrasion resistance, and hence find use in applications such as the wear plates of crushing equipment in mining operations.

Both languages now use the modern ( Congolese ) names.

Both batch and continuous distillations can be improved by making use of a fractionating column on top of the distillation flask.

Both are well familiar with the DBMS product and use its user interfaces ( as well as usually other tools ) for their work.

Both companies use extensive salt evaporation pans that have essentially diked the entire southern end of the Dead Sea for the purpose of producing carnallite, potassium magnesium chloride, which is then processed further to produce potassium chloride.

Both releases use the same NTSC Region 0 discs made from telerecordings of the original videotapes.

Both sides recognised the legitimacy and rightness, as expressions of the same faith, of the Assyrian Church's liturgical invocation of Mary as " the Mother of Christ our God and Saviour " and the Catholic Church's use of " the Mother of God " and also as " the Mother of Christ ".

Both are extremely old, going back at least to the third century, and are the oldest extant liturgies continually in use.

Both natural and social sciences use working hypotheses that are testable by observation and experiment.

Both of those systems, not coincidentally, use game mechanics inspired by D & D, giving Gamma World characters six ability scores, and measuring character development through increases in character class level.

Both retained the rights to use OS / 2 and Windows technology developed up to the termination of the agreement ; Windows NT, however, was to be written anew, mostly independently ( see below ).

Both Windows Server 2003 x64 and Windows XP Professional x64 Edition use identical kernels.

Both methods have long been promoted on the basis of lowest cost, though neither of these measurements directly, or reliably, reflects HDL particle functionality to remove cholesterol from atherosclerotic plaque and can therefore be misleading, especially on an individual patient-by-patient basis Labs use the routine dextran sulfate-Mg < sup > 2 +</ sup > precipitation method with ultracentrifugation / dextran sulfate-Mg < sup > 2 +</ sup > precipitation as reference method.

Such cells, tissues and organs would neither trigger an immune response nor require the use of Immunosuppressive drugs Both basic research and therapeutic development for serious diseases such as cancer, heart disease and diabetes, as well as improvements in burn treatment and reconstructive and cosmetic surgery, are areas that might benefit from such new technology.

Both programs allow for basic nutrient solution preparation although HydroBuddy provides added functionality to use and save custom substances, save formulations and predict electrical conductivity values.

Both came into widespread use by psychiatry, but there were grave concerns and much opposition on grounds of basic morality, harmful effects, or misuse.

Both " global warming " and the more politically neutral " climate change " were listed by the Global Language Monitor as political buzzwords or catchphrases in 2005.

Both the Portuguese Empire and Spanish Empire quickly grew into the first global political and economic systems with territories spread around the world.

Both Protestant and Catholic churches competed in a global endeavor to Christianize the world.

Both greenhouse theory and computer models predict that global warming should be more rapid in the polar regions than anywhere else ," he says, " but in July the Antarctic experienced the coldest weather on record.

Both organisations warned global leaders that recovery is likely to be slow, so counter recessionary measures ought not be rolled back too early.

Both men and women favor " western-style " clothing in their daily lives-due to the comparative convenience and the influx of global fashion.

Both RCA Records and EMI have deemphasized Nipper in the global music market due to the fragmented ownership of the trademark.

Both long-term and short-term variations in solar activity are hypothesized to affect global climate, but it has proven extremely challenging to directly quantify the link between solar variation and the earth's climate.

Both organizations are now participating in the development of a global project management standard.

Both local and global supervenience come in many forms.

Both Bush and Lee also pledged to sustain the close cooperation between the United States and Singapore in key regional and global multilateral institutions.

Both games put the player in charge of a militant global corporation-for which the player chooses a name and logo.

Both agreed in principle to remove INF systems from Europe and to equal global limits of 100 INF missile warheads.

Both local and global in constitution and intent, the Institute addresses questions of pertinent social interest to: to stimulate dialogue, to present balanced scholarship, to encourage critical analysis in students and citizenry, and to foster active participation in the complex and ongoing process of growth and reform.

Both FIFA and Pro Evolution Soccer have a large following but FIFA sales is rising as much as 23 percent year-over-year, making FIFA the most profitable EA Sports title, thanks to its global audience and lower license costs compared to Madden NFL series.

Both of their works have been adapted into anime and manga series that have amassed a global fanbase.

Both warnings are owed to toxaphene contamination, resulting from global pesticide use and overfishing in Lake Laberge which resulted in changes to its typical food chain.

Both labels helped the band get introduced locally and abroad, culminating in an appearance in Sideline Magazine's ' Heartbreaker Top 10 ' section with VI's ' Transmission ' in 1997, but it wasn't until VI was signed to the A Different Drum synthpop label out of Salt Lake City that the band began receiving global attention.

Both levels take a global perspective and incorporate issues of ethics and professional conduct.

Both Moretti and Casanova emphasize the inequalities of the global literary field, which Moretti describes as “ one, but unequal .”

Both the DC and global neuronal workspace ( GNW ) models involve re-entrance, but the GNW model elaborates on re-entrant connectivity between distant parts of the brain and long-range signal flow.