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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.
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Both and proofs
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 and used
Both nectar and ambrosia are fragrant, and may be used as perfume: in the Odyssey Menelaus and his men are disguised as seals in untanned seal skins, " and the deadly smell of the seal skins vexed us sore ; but the goddess saved us ; she brought ambrosia and put it under our nostrils.
* Both Integer BASIC and Applesoft used tokenizing to reduce the memory requirements of programs and to speed their interpretation.
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, and subsequently Cuyp, used the advantages of this new lighting style to alter the sense of depth and luminosity possible in a painting.
Both the missile and the aircraft were used by the United States Navy and are now retired, the AIM-54 Phoenix in 2004 and the F-14 in 2006.
Both terms, vasco and basque, are inherited from Latin ethnonym Vascones which in turn goes back to the Greek term οὐασκώνους ( ouaskōnous ), an ethnonym used by Strabo in his Geographica ( 23 CE, Book III ).
Both of the two German electro-mechanical rotor machines whose signals were decrypted at Bletchley Park, Enigma and the Lorenz Cipher ', were virtually unbreakable if properly used.
Both are used in the detoxification of individuals who are motivated to stop drinking, and are prescribed for a short period of time to reduce the risks of developing tolerance and dependence to the benzodiazepine medication itself.
Both the terms coast and coastal are often used to describe a geographic location or region ; for example, New Zealand's West Coast, or the East and West Coasts of the United States.
Both authors used a single axis in their treatments and have a variable length measured in reference to this axis.
Both logarithmic and trigonometric functions, functions commonly used by both navigators and scientists, can be approximated by polynomials, so a difference engine can compute many useful sets of numbers.
Both armies used child soldiers, mainly between 14 and 17 years of age, the most famous example being Urho Kekkonen who fought for the White Army and later became the longest-serving President of Finland.
Both QuarkXpress and Adobe InDesign are often used in the final stage of the electronic design process.
Both terms were used in East Germany with an increasing emphasis on the abbreviated name, especially since East Germany considered West Germans and West Berliners to be foreigners following the promulgation of its second constitution in 1968.
Both in Viking times and in modern European languages, the names and spellings used for Hedeby have been varied and confusing.
Both methods are used and depend on local requirements, often determined by the site and crop requirements.
Both and methods
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.
Both Maori and the New Zealand European settlers arrived from overseas, and during the early European settler years, coastal shipping was one of the main methods of transportation, while it was hard to move goods to or from the hinterlands, thus limiting the locations of early settlement.
Both the princess and Mort end up consulting the local wizard, Igneous Cutwell, for various methods of assistance with the crisis.
Both terms were used to designate individuals dedicated to "... magic, medicine, divination ,... methods of longevity and to ecstatic wanderings " as well as exorcism ; in the case of the wu, " shamans " or " sorcerers " is often used as a translation.
Both sides used the conflict to test new weapons and methods of warfare, with the Nationalists winning the war in early 1939.
Both installation methods will allow the transmitter to operate at a low SWR, however if the tuner is installed at the transmitter, the feed line between the tuner and the antenna will still operate with a high SWR, causing additional RF energy to be lost through the feedline.
Both these methods are useful as they are either cheaper or free, effective, safe and feature low thermal inertia transfer methods, meaning the chemist does not have to wait for a bath to cool down after use.
Both these methods, if used properly, will provide a long-lasting weathertight roof with a typical lifespan of around 80 – 100 years.
Both random and points-based methods for determining stat totals exist, but the final result will be a number on a percentile scale ( 1-100 ), which is then used to determine the character's skill bonus at actions which employ that stat.
Both methods result in the milk that was trapped in the milk duct being squirted out the end into a bucket that is supported between the knees ( or rests on the ground ) of the milker, who usually sits on a low stool.
Both methods yield thrust due to Newton's third law — every action has an equal and opposite reaction.
1.343 seconds.