Initial approaches relied on the results of Herbrand and Skolem to convert a first-order formula into successively larger sets of propositional formulae by instantiating variables with terms from the Herbrand universe.

Initial results supported a continued but looser relationship with France.

Initial results suggested savings in journey times, smoother-flowing traffic, as well as a fall in the number of crashes and the scheme was made permanent in 1997.

Initial results were not consistently good and new signing Ander Herrera was injured.

Initial results indicated savings in journey times, smoother-flowing traffic, and a fall in the number of accidents, so the implementation was made permanent in 1997.

Initial results gave Bamford an 11-vote margin of victory, or less than one-half of one percent of votes cast.

Initial results have shown promise with Tetrastichus planipennisi and it is now being released along with Beauveria bassiana, a fungal pathogen with known insecticidal properties .< ref name =" APHIS ">

Initial results show there is more inflow than consumption of glucose in regions such as the amygdala, basal ganglia, thalamus and cingulate cortex, all of which are recruited for fast responses.

Initial results indicate that time-shifted viewing will have a significant impact on television ratings.

Initial results in properly selected patients with unresectable liver tumors are equivalent to those of resection.

Initial results vary widely, and post-implantation therapy is required as well as time for the brain to adapt to hearing new sounds.

Initial results suggest that human ratings are much better than metrics in this regard.

Initial results led to MDC-T claiming the majority necessary.

Initial results of their work are as follows:

Initial trials of the hounds had mixed results, and a public outcry arose against the use of the dogs, based on fears that they would be set on the Seminole in physical attacks, including against women and children.

Initial results show have shown for it to be effective as a treatment only for severe acne, though some question whether it is better than existing acne treatments.

Initial results of the operation seemed positive, as the gateway site and payment system were closed down and thousands of possible users of child pornography websites were identified for later investigation.

Initial results were favorable-the TAR-21 was found to be significantly more accurate and reliable ( as well as more comfortable ) than the M4 carbine during extensive field testing-but the battle proven and widely issued M4A3 rifle and its variants will remain in service for some time to come ; their unit purchase price is about one third that of the TAR-21.

Initial scientific results from the first phase of the mission ( the 90-sol prime mission ) were published in a special issue of the journal Science.

Initial results reported that Mitt Romney beat out Rick Santorum by just 8 votes, but when the final results came out two weeks later Rick Santorum secured the victory over Romney by a margin of 34 votes with Ron Paul in a strong 3rd.

Initial testing in 2002 by author Bill Yerazunis gave a 99. 87 % accuracy ; Holden and TREC 2005 and 2006. gave results of better than 99 %, with significant variation depending on the particular corpus.

Initial results confirmed the expected geodetic effect to an accuracy of about 1 %.

Initial results supported a continued but looser relationship with France.

Initial studies suggest that flax seeds taken in the diet may benefit individuals with certain types of breast and prostate cancers.

Initial studies in humans suggest some similar effects.

Initial police inquiries suggest that it could be a common container theft operation.

Initial reports suggest he committed suicide by hanging.

Initial reports suggest that the operation was a success.

Initial reports suggest that " helminthic therapy " may not only prevent but even control IBD: a drink with roughly 2, 500 ova of the Trichuris suis helminth taken twice monthly decreased symptoms markedly in many patients.

This hypothesis is based on temperature measurements of Io's " hotspots ", or thermal-emission locations, which suggest temperatures of at least 1300 K and some as high as 1600 K. Initial estimates suggesting eruption temperatures approaching 2000 K have since proven to be overestimates since the wrong thermal models were used to model the temperatures.

Initial results apparently suggest rimonabant is effective for both uses.

Initial studies suggest that the site may have been built and occupied by the local Déise around the time of Saint Patrick and long before the first Vikings arrived in Ireland.

Initial samples suggest that about 10 % of Quarter Horses are carriers.

* Initial text from Easton's Bible Dictionary, 1897.

* Initial text from Schaff-Herzog Encyclopedia of Religion

Initial converts were drawn to the church in part because of the newly published Book of Mormon, a self-described chronicle of indigenous American prophets that Smith said he had translated from golden plates.

Initial efforts may result in a team with only a few members from across the community.

Initial examination of the debris from the explosion had shown the production of a new isotope of plutonium,, which could only have formed by the absorption of six neutrons by a uranium-238 nucleus followed by two beta decays.

The Initial Declaration was signed by 143 respected leaders from all of the world's major faiths, including Baha ' i Faith, Brahmanism, Brahma Kumaris, Buddhism, Christianity, Hinduism, Indigenous, Interfaith, Islam, Jainism, Judaism, Native American, Neo-Pagan, Sikhism, Taoism, Theosophist, Unitarian Universalist and Zoroastrian.

Initial input to receiving waters may arise from a point source discharge or a line source or area source, such as surface runoff.

Initial human settlement of Madagascar occurred between 350 BCE and 550 CE by Austronesian peoples arriving on outrigger canoes from Borneo.

Initial Bolshevik economic policies from 1917 to 1918 were cautious with limited nationalizations of private property.

Initial roads, such as the Great South Road southwards from Auckland, were often built by the British Army to move troops, and were constructed to a comparatively high standard.

* Initial text taken from a paper copy of the 9th edition of the Encyclopædia Britannica ; 1881.

* Initial text from the 9th edition ( 1880 ) of an unnamed encyclopedia.

Initial systems were based on the Geometry Engine that Clark and Marc Hannah had developed at Stanford University, and were derived from Clark's broader background in computer graphics.

Initial Zulu success rested on fast-moving surprise attacks and ambushes, but the Voortrekkers recovered and dealt the Zulu a severe defeat from their fortified wagon laager at the Battle of Blood River.

* Initial text of article from The New Schaff-Herzog Encyclopedia of Religious Knowledge, Philip Schaff, public domain

Initial designs suffered from the potentially catastrophic problem that friction between the shot and black powder during the high acceleration down the gun bore could sometimes cause premature ignition of the powder.

Initial proceeds from the single – approximately £ 1, 000, 000 – were donated to the Terrence Higgins Trust.

Initial jewelry is usually a labret stud or a captive bead ring, manufactured from high-grade surgical stainless steel, implant-grade titanium, or similar lightweight and inert metal.

* CD-ROM Working Group, Structure and Evolution of the Lithosphere Beneath the Rocky Mountains: Initial Results from the CD-ROM Experiment.

Mao ’ s " Intellectual " Marxist development can be divided into five major periods: ( 1 ) The Initial Marxist Period from 1920 – 1926 ; ( 2 ) the formative Maoist period from 1927 – 1935 ; ( 3 ) the mature Maoism period from 1935 – 1940 ; ( 4 ) the civil war period from 1940 – 1949 ; and ( 5 ) the post-1949 period, following the revolutionary victory.

# The Initial Marxist Period from 1920 – 1926: Marxist thinking employs imminent socioeconomic explanations ; Mao ’ s reasons were declarations of his enthusiasm.