By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

By weight, approximately 1 / 3 of the animal is edible meat, 1 / 3 is offal, and 1 / 3 is shell.

By 2003 in the US, an estimated 3. 21 million patients received antipsychotics, worth an estimated $ 2. 82 billion.

By sweeping this surface through R < sup > 3 </ sup > as a function of the ion sequence input data, such as via ion-ordering, a volume is generated onto which positions the 2D detector positions can be computed and placed three-dimensional space.

By lowering the activation energy, the enzyme speeds up that reaction by a rate of 10 < sup > 11 </ sup > or more: a reaction that would normally take over 3, 000 years to complete spontaneously might take less than a second with an enzyme.

By volume, the red blood cells constitute about 45 % of whole blood, the plasma about 54. 3 %, and white cells about 0. 7 %.

By moving to position 3, player A wins.

By convention, the top strand is written from the 5 ' end to the 3 ' end ; thus, the bottom strand is written 3 ' to 5 '.

By 2005, the university had established two 501 ( c )( 3 ) charitable organizations to provide scholarship assistance solely for minority students.

By 1905, 62 % of the members were industrial workers ( 3 % of the population in 1897 ).

By 1888, over 3, 000 British public houses, grocers and chemists were selling Bovril.

By 1950 it had increased to between 3, 710, 107 and 4, 073, 967, and in 1962 it had reached 5. 7 million.

By 1975 when the Khmer Rouge took power, it was estimated at 7. 3 million.

By the same principle when the pH is too high, the kidneys excrete bicarbonate ( HCO < sub > 3 </ sub >< sup >-</ sup >) into urine as urea via the Urea Cycle ( aka the Krebs-Henseleit Ornithine Cycle ).

By removing the bicarbonate more H < sup >+</ sup > is generated from carbonic acid ( H < sub > 2 </ sub > CO < sub > 3 </ sub >) which come from CO < sub > 2 </ sub >( g ) produced by cellular respiration.

By the end of the season, the rookie quarterback had rewritten the record book in Charlotte and many more in the NFL ( including most passing yards by a rookie with 4, 051, previously held by Peyton Manning with 3, 739 ; and most rushing touchdowns by a QB with 14 ).

By 0. 3 Mya, Canis lupus ( the gray wolf ) was fully developed and had spread throughout Europe and northern Asia ; and Beringia offered a way to North America.

The bridge has a maximum capacity of 50, 000 kg, is 3. 3 meters wide, and can span a gap of 18 m. By itself, the bridge weighs 6400 kg.

By 1933, the party had approximately 3. 5 million members but as a result of the Great Purge party membership was cut down to 1. 9 million by 1939.

By way of contrast, when introduced in 1985, the Amiga had compared favorably against 286-based systems with EGA graphics and rudimentary sound capabilities that frequently cost 2 – 3 times as much.

By 11: 00 Tallard, the Elector, and Marsin were in place.

By 16: 00, with the enemy troops besieged in Blenheim and Oberglau, the Allied centre of 81 squadrons ( nine squadrons had been transferred from Cutts ' column ), supported by 18 battalions was firmly planted amidst the French line of 64 squadrons and nine battalions of raw recruits.

" By about 15: 00 the Swiss had been pushed out of the village into the marshes beyond.

By 16: 00, Alexander and Swiftsure were also in sight, although some distance from the main British fleet, and Brueys gave orders to abandon the plan to remain at anchor and instead for his line to set sails, although Blanquet protested the order on the grounds that there were not enough men aboard the French ships to both sail the ships and man the guns.

By 18: 00, the British fleet was again under full sail, Vanguard sixth in the line of ten ships as Culloden trailed behind to the north, and Alexander and Swiftsure hastened to catch up to the west.

By 24: 00 only Tonnant remained engaged, as Commodore Aristide Aubert Du Petit Thouars continued his fight with Majestic and fired on Swiftsure when the British ship moved within range.

By 03: 00, after more than three hours of close quarter combat, Majestic had lost its main and mizzen masts while Tonnant was a dismasted hulk.

By 07: 00, word was finally got to 2nd Armoured Brigade which started to move north west.

By 15: 00, the 3rd Reconnaissance Regiment and part of 21st Panzer Division from the north and 33rd Reconnaissance Regiment and the Baade Group comprising elements from 15th Panzer Division from the south were in place under Lieutenamnt-General ( General der Panzertruppe ) Walther Nehring.

By 01: 00 on 27 July, 24th Australian Infantry Brigade was to have captured the eastern end of the Miteirya ridge and would exploit toward the north-west.

By 11: 00 am, almost the whole working population of Winnipeg, Manitoba had walked off the job.

By 4: 00 in the morning the streets had nearly been cleared.

Other estimates of Austro-Hungarian casualties are as follows: By Austrian Ministry of Defense in 1938: Military dead 1, 016, 200 By UK War Office in 1922: Dead 1, 200, 00 By US War Dept in 1924: 1, 200, 00 killed and died A study published by the Carnegie Endowment for International Peace in 1940 estimated civilian 467, 000 deaths " attributable to war ", the primary cause being famine.

By 1: 00 pm, the two fleets were roughly facing each other, but sailing on opposite tacks.

By 12: 00, General Manstein opened up the battle before the village of Amanvillers with artillery from the 25th Infantry Division.

By 22: 00, firing largely died down across the battlefield for the night.

By about 3: 00, Excellent was already in close action with San Nicolás which, with foretop mast shot away, had been in action against Captain.

By 4: 00, the Spanish ship Santísima Trinidad was relieved by two of her escorts and made away from the scene.

By 09: 00 more than 600 American troops, in groups ranging from company sized to just a few men, had reached the top of the bluff opposite Dog White and were advancing inland.

By Euclid's lemma p < sub > 1 </ sub > must divide one of the q < sub > j </ sub >; relabeling the q < sub > j </ sub > if necessary, say that p < sub > 1 </ sub > divides q < sub > 1 </ sub >.

By taking the intersection of p ( 1 ), p ( 2 ), p ( 3 ),... he formed p ( ω ), and then he noticed that p ( ω ) had a set of limit points p ( ω + 1 ), and so on.

By the Chinese Remainder Theorem, this ring factors into the direct product of rings of integers mod p. Now each of these factors is a field, so it is clear that the only idempotents will be 0 and 1.

By 1944 the last known Ivory-billed Woodpecker, a female, was gone from the cut-over tract ( Smithsonian p 98 ).

By neglecting to do this, the letter allowed good people to close their ears and their hearts .</ p >

By using the streamwise vector i parallel to the freestream in place of k in the integral, we obtain an expression for the pressure drag D < sub > p </ sub > ( which includes induced drag in a 3D wing ).

By sunset at 7: 34 p. m., the several hundred whites assembled outside the courthouse appeared to have the makings of a lynch mob.

By appropriate selection of the ratio of turns, a transformer thus enables an alternating current ( AC ) voltage to be " stepped up " by making N < sub > s </ sub > greater than N < sub > p </ sub >, or " stepped down " by making N < sub > s </ sub > less than N < sub > p </ sub >.

By this term I mean the phenomenon described by Melanie Klein in Envy and Gratitude " ( 1962, p. 96 ).

By 6: 30 p. m. the division of Brig.

By extension, the cross-covariance matrix between two random vectors X and Y ( X having n elements and Y having p elements ) is the n × p matrix

By the rank-nullity theorem, a system of n vectors in k dimensions ( where all dimensions are necessary ) satisfies a ( p = n − k )- dimensional space of relations.

By extrapolating the phenomenology of lattice points to the unit cells it is seen that the total number of degrees of freedom is 3pq when p is the number of primitive cells with q atoms / unit cell.

By 1989, the network ran game shows from noon to 5 p. m. five days a week.

" By the maternal side he was great grandson of Matthew Pilkington " from ' Worthyies of Bucks & men of note ' Robt Gibbs 1886 p 363.

By 12: 30 p. m. on 21 September, the pro-French Dacko proclaimed the fall of the Central African Empire and the restoration of the Central African Republic under his presidency.