paragraph_text: Herbrand's theorem is a fundamental result of mathematical logic obtained by Jacques Herbrand (1930). It essentially allows a certain kind of reduction of first-order logic to propositional logic. Although Herbrand originally proved his theorem for arbitrary formulas of first-order logic, the simpler version shown here, restricted to formulas in prenex form containing only existential quantifiers, became more popular.

paragraph_text: The TMG EV P001 is a road-legal electric vehicle developed by Toyota Motorsport GmbH. It is based on a Radical chassis as modified for e-Wolf, with two EVO Electric axial flux motors powered by a lithium-ceramic battery pack. It was developed originally for a customer in 2010.

paragraph_text: William Sealy Gosset (13 June 1876 – 16 October 1937) was Head Brewer of Guinness, Head Experimental Brewer of Guinness, and a pioneer of modern statistics. He pioneered small sample experimental design and analysis with an economic approach to the logic of uncertainty. Gosset published under the pen name Student and developed most famously Student's t-distribution - originally called Student's "z" - and "Student's test of statistical significance".

paragraph_text: The Tomorrow People is a British children's science fiction television series, created by Roger Price. Produced by Thames Television for the ITV Network, the series first ran from April 30, 1973 to February 19, 1979. In 1992, after having much success of the replays in America, Nickelodeon requested Price and Thames Television for a new version to be piloted and filmed at Nickelodeon Studios Florida in April 1992, with Roger Price acting as executive producer. This version used the same basic premise as the original series with some changes, and ran until March 8, 1995. A series of audio plays using the original concept and characters (and many of the original series' actors) was produced by Big Finish Productions between 2001 and 2007. In 2013, an American remake of the show by Greg Berlanti, Phil Klemmer and Julie Plec premiered on The CW.

paragraph_text: The ten pence coin was originally minted from cupro - nickel (75% Cu, 25% Ni), but since 2012 it has been minted in nickel - plated steel due to the increasing price of metal. From January 2013 the Royal Mint began a programme to gradually remove the previous cupro - nickel coins from circulation with replacement by the nickel - plated steel versions.

paragraph_text: The Logic Factory was an award-winning video game development company founded by Jason and Todd Templeman in 1993. The brothers were joined in early 1994 by Thomas Blom to begin developing the demo that would secure initial distribution deals. The company is responsible for "Ascendancy (1995)", a turn-based science fiction strategy game for the PC, The Tone Rebellion (1997), and "Ascendancy for mobile gaming" on the iOS platform (2011). In June 2014, The Logic Factory ceased maintaining its website and after 19 years released the domain which as of January 2018 remains available for purchase.

paragraph_text: Except for CPUs used in low-power applications, embedded systems, and battery-powered devices, essentially all general-purpose CPUs developed since about 1998 are superscalar.

paragraph_text: The Moto E4 and Moto E4 Plus are Android smart phones developed by Motorola Mobility. They were released in June 2017. The phones are regarded as being low - budget and having a long battery life. The E4 model has a 2,800 mAh battery and the E4 Plus has a 5,000 mAh battery. The Moto E4 has an 8 megapixel camera, while the Plus version has a 13 megapixel one.

paragraph_text: Lithium - ion battery An example of a Nokia Li - ion battery (used in various mobile phones) Specific energy 100 -- 265 W h / kg (0.36 -- 0.875 MJ / kg) Energy density 250 -- 693 W h / L (0.90 -- 2.43 MJ / L) Specific power ~ 250 - ~ 340 W / kg Charge / discharge efficiency 80 -- 90% Energy / consumer - price 3.6 W h / US $Self - discharge rate 2% per month Cycle durability 400 -- 1200 cycles Nominal cell voltage NMC 3.6 / 3.85 V, LiFePO4 3.2 V

paragraph_text: Street Rod 2 is a sequel to "Street Rod" developed by P.Z.Karen Co. Development Group and Logical Design Works, based on an original concept by Magic Partners and published by California Dreams for Amiga and MS-DOS. "Street Rod 2" exclusively featured American Muscle Cars, specifically those from GM, Ford, and Chrysler. In December 2012, MK Consultancy, from the Netherlands, acquired the copyright ownership of the "Street Rod" games and re-released "Street Rod 2", as well as the original game and an updated version, as freeware in 2014.

paragraph_text: The price of gold is determined through trading in the gold and derivatives markets, but a procedure known as the Gold Fixing in London, originating in September 1919, provides a daily benchmark price to the industry. The afternoon fixing was introduced in 1968 to provide a price when US markets are open.

paragraph_text: "Stranger" is a song recorded by American singer Hilary Duff for her fourth studio album, "Dignity" (2007). It was written by Duff and Kara DioGuardi with the song's producers Vada Nobles, Derrick Harvin, and Julius "Logic" Diaz.

paragraph_text: An effect with similar symptoms to the memory effect is the so - called voltage depression or lazy battery effect. This results from repeated overcharging; the symptom is that the battery appears to be fully charged but discharges quickly after only a brief period of operation. In rare cases, much of the lost capacity can be recovered by a few deep - discharge cycles, a function often provided by automatic battery chargers. However, this process may reduce the shelf life of the battery. If treated well, a Ni -- Cd battery can last for 1,000 cycles or more before its capacity drops below half its original capacity. Many home chargers claim to be ``smart chargers ''which will shut down and not damage the battery, but this seems to be a common problem.

paragraph_text: Apple announced a battery replacement program on November 14, 2003, a week before a high publicity stunt and website by the Neistat Brothers. The initial cost was US$99, and it was lowered to US$59 in 2005. One week later, Apple offered an extended iPod warranty for US$59. For the iPod Nano, soldering tools are needed because the battery is soldered onto the main board. Fifth generation iPods have their battery attached to the backplate with adhesive.

paragraph_text: At launch, the Xbox 360 was available in two configurations: the "Xbox 360" package (unofficially known as the 20 GB Pro or Premium), priced at US$399 or GB£279.99, and the "Xbox 360 Core", priced at US$299 and GB£209.99. The original shipment of the Xbox 360 version included a cut-down version of the Media Remote as a promotion. The Elite package was launched later at US$479. The "Xbox 360 Core" was replaced by the "Xbox 360 Arcade" in October 2007 and a 60 GB version of the Xbox 360 Pro was released on August 1, 2008. The Pro package was discontinued and marked down to US$249 on August 28, 2009 to be sold until stock ran out, while the Elite was also marked down in price to US$299.

paragraph_text: iPod batteries are not designed to be removed or replaced by the user, although some users have been able to open the case themselves, usually following instructions from third-party vendors of iPod replacement batteries. Compounding the problem, Apple initially would not replace worn-out batteries. The official policy was that the customer should buy a refurbished replacement iPod, at a cost almost equivalent to a brand new one. All lithium-ion batteries lose capacity during their lifetime even when not in use (guidelines are available for prolonging life-span) and this situation led to a market for third-party battery replacement kits.

paragraph_text: In the absorbed glass mat design, or AGM for short, the separators between the plates are replaced by a glass fibre mat soaked in electrolyte. There is only enough electrolyte in the mat to keep it wet, and if the battery is punctured the electrolyte will not flow out of the mats. Principally the purpose of replacing liquid electrolyte in a flooded battery with a semi-saturated fiberglass mat is to substantially increase the gas transport through the separator; Hydrogen or Oxygen gas produced during overcharge or charge (if the charge current is excessive) is able to freely pass through the glass mat and reduce or oxidize the opposing plate respectively. In a flooded cell the bubbles of gas float to the top of the battery and are lost to the atmosphere. This mechanism for the gas produced to recombine and the additional benefit of a semi saturated cell providing no substantial leakage of electrolyte upon physical puncture of the battery case allows the battery to be completely sealed, which makes them useful in portable devices and similar roles, additionally the battery can be installed in any orientation, though if it is installed upside down then acid may be blown out through the over pressure vent.

paragraph_text: The package contains Logic Pro, Mainstage, Soundtrack Pro, WaveBurner, Studio Instruments, Studio Effects, Apple Loops, Apple Loops Utility, Impulse Response Utility, Compressor, and QuickTime Pro. It also contains 6 content DVDs containing Jam Pack collections, sound effects, surround music beds, EXS24 samples, and impulse response files and a demo content DVD.

paragraph_text: At launch, the Xbox 360 was available in two configurations: the ``Xbox 360 ''package (unofficially known as the 20 GB Pro or Premium), priced at US $399 or GB £279.99, and the`` Xbox 360 Core'', priced at US $299 and GB £209.99. The original shipment of the Xbox 360 version included a cut - down version of the Media Remote as a promotion. The Elite package was launched later at US $479. The ``Xbox 360 Core ''was replaced by the`` Xbox 360 Arcade'' in October 2007 and a 60 GB version of the Xbox 360 Pro was released on August 1, 2008. The Pro package was discontinued and marked down to US $249 on August 28, 2009 to be sold until stock ran out, while the Elite was also marked down in price to US $299.

paragraph_text: Silver Style Entertainment was a video game developer based in Berlin, Germany, founded in 1993. In 2006, the company was taken over by The Games Company, and became an in-house development studio. Originally, the company developed largely for the PC, but following the acquisition it has shifted its focus to include consoles such as the Xbox 360.

Question: What was the original price of a replacement battery from the developer of Logic Studiio?
Answer: $99