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By and counting
By counting the number of stalls and urinals I attempted to form a loose estimate of how many men the hall would hold at one time.
By airline from Concord to Burlington is a distance of about 150 miles, counting a slight deviation for the stop at either Barre or Montpelier.
By 1951, 87 subroutines in the following categories were available for general use: floating point arithmetic ; arithmetic operations on complex numbers ; checking ; division ; exponentiation ; routines relating to functions ; differential equations ; special functions ; power series ; logarithms ; miscellaneous ; print and layout ; quadrature ; read ( input ); nth root ; trigonometric functions ; counting operations ( simulating repeat until loops, while loops and for loops ); vectors ; and matrices.
By the nature of reference counting, each of these garbage components must contain at least one cycle.
By counting numbers of live and dead mites that developed every 15 days and comparing this with his initial count on the infant, he was able to estimate how long that infant was dead.
By 1922, the size of the entire Communist Party in China was only about 200 members, not counting those overseas.
By focusing on the breath at the hara, often aided by counting.
From 1972 to 1979, Simon sang backup vocals on the following James Taylor songs and albums ( not counting compilations ): " One Man Parade " from 1972's One Man Dog, " Rock ' n ' Roll Is Music Now ", " Let It All Fall Down ", " Me And My Guitar ", " Daddy's Baby " and " Ain't No Song " from 1974's Walking Man, " How Sweet It Is ( To Be Loved By You )" from 1975's Gorilla, " Shower the People ", " A Junkie's Lament ", " Slow Burning Love " and " Family Man " from 1976's In the Pocket, and " B. S. U. R.
By the time Major Mills got his men back under control, the police had fired 114 rounds of rifle ammunition, and an unknown amount of revolver ammunition as well, not counting 50 rounds fired from the machine guns in the armoured car outside the Park.
By contrast, Packer was seen disconsolately counting cars as they arrived in the car park at some of his matches.
By analogy with humans counting in base-10, supposedly as a result of having ten digits, the Moties count in base-12 numbers to match the combined digits on their right hands.
By counting the number of times 1 and 2 are both used in such a sum, it is evident that F ( n, k ) is equal to the binomial coefficient
By 1780 the percentage of adult colonists who adhered to a church was between 10-30 %, not counting slaves or Native Americans.
By counting and timing the interference fringes, the acceleration of the mass can be measured.
By counting the number of teeth passing a mark on the handle while this is done, the length of the line can be ascertained:
The song's origins and age are uncertain: however, a counting song with similar lyrics, but without the ' Green grow the rushes ' chorus, was being sung by English children in the earlier half of the 19th century By 1868 several variant and somewhat garbled versions were being sung by street children as Christmas carols.
By counting the number of spin-network states corresponding to an event horizon of area A, the entropy of black holes is seen to be
By counting the pixels in an item of known size, for example a standard cockpit instrument, a scale can be established.
By counting the number of pendulum swings that elapsed between transits of certain stars, Riccioli was able to experimentally verify that the period of a pendulum swinging with small amplitude is constant to within two swings out of 3212 ( 0. 062 %).
By counting the number of lines that cross a certain segment of a stream, multiplying this by the contour interval, and dividing that quantity by the length of the stream segment you can determine the stream gradient.
By this time the Osmonds had broken through in the UK as well: all members of the Osmond family, counting group and solo recordings, charted 13 singles on the UK charts during 1973.
By the time she retired, there were more than 4, 000 women, not counting non-registered girls at the high-school level, registered in wrestling, according to Greg Mathieu, executive director of the Canadian Amateur Wrestling Association.
By encoding information about the number into the order of the numerals, subtractive notation transformed the Roman numeral system from a variation of a unary numeral system which used alphabetic characters to represent groupings of tally marks ( a position-independent counting system ).
By counting settlements, Avi-Yonah estimated that Jews comprised half the population of the Galilee at the end of the 3rd century, and a quarter in the other parts of the country, but had declined to 10 – 15 % of the total by 614.

By and rings
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 moving leather tuning rings up and down the neck, a kora player can retune the instrument into one of four seven-note scales.
" – Cheaper By The Dozen ( as Steve Martin's character Tom Baker frantically searches the phone book and rings around looking for a babysitter )
By wearing rings on the fourth finger, a married couple symbolically declares their eternal love for each other.
By the 11th century, the stupa had developed into a more bell-shaped form in which the parasols morphed into a series of increasingly smaller rings placed on one top of the other, rising to a point.
By the Hilbert Basis Theorem and some elementary properties of Noetherian rings, every affine or projective coordinate ring is Noetherian.
By the Chinese remainder theorem it is isomorphic to the product of all the rings of p-adic integers:
By collecting rings, Sonic can protect himself from damage from enemies and obstacles.
By World War II the other common type was torsion bar suspension, getting spring force from twisting bars inside the hull — this had less travel than the Christie-type, but was significantly more compact, allowing more space inside the hull, with consequent possibility to install larger turret rings and thus a heavier main armament.
By constructing different combinations of 5-sided and 6-sided rings, vesicles of different sizes may assemble.
By 1978, nine distinct rings were identified.
By January 1945, 64 % of the 14, 500 rings made had been returned to Himmler.
By 1995, research in the subject had advanced and hemispherical reconstructions of temperature were available, though only for the summer season ( because tree rings are often most strongly influenced by summer temperatures ).
By counting the rings, it is possible to determine the age of the fish in years.
By measuring the thickness of individual rings, it has been assumed ( at least in some species ) to estimate fish growth because fish growth is directly proportional to otolith growth.
By a theorem of Jean-Pierre Serre, global dimension can be used to characterize within the class of commutative Noetherian local rings those rings which are regular.
By this time Fresco had designed his circular city to be one mile in diameter with radially connected concentric rings " resembling the spokes of a wheel.
By the next day, he's become so desperate he tries to play the video on the display models at an electronics store, but is caught and thrown out by a security guard who is a member of rings, and knows what the tape does.
By grinding his own mirrors, using Newton's rings to judge the quality of the optics for his telescopes, he was able to produce a superior instrument to the refracting telescope, due primarily to the wider diameter of the mirror.

4.206 seconds.