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Page "Idempotence" ¶ 54
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With and modification
Under Title III of the ADA, all " new construction " ( construction, modification or alterations ) after the effective date of the ADA ( approximately July 1992 ) must be fully compliant with the Americans With Disabilities Act Accessibility Guidelines ( ADAAG ) found in the Code of Federal Regulations at 28 C. F. R., Part 36, Appendix " A ".
With modification, these categories can be useful in understanding the grading of all gemstones.
With the 52-caliber modification the range can surpass 40, 000 meters.
With the enlargement of the tunnels and modification of the electrical supply, Standard Stock ( displaced from the Northern line by new 1938 Stock ) was operated, eventually as 8-car trains following platform extensions.
With this modification, the Vitruvius odometer functioned perfectly.
With a basic chip configuration modification, it was found that " Applebred " could be turned into " Thoroughbred B " Athlon XPs, with full 256KB cache, with a very high success rate.
With the use of the GIO library, Nautilus tracks modification of local files in real time, eliminating the need to refresh the display manually.
With some modification, and pneumatic reading of the roll, this would become the final player piano some 20 years later, although the Schmoele brothers never benefitted from it.
With minor modification, Zond was capable of carrying two cosmonauts.
With this technique, the work is encrypted using a key only included in the firmware of " authorized " players, which allow only " legitimate " uses of the work ( usually restricted forms of playback, but no conversion or modification ).
With but ' slight ' modification it lent itself readily to the purpose.
With using fat node method, it requires O ( 1 ) space for every modification: just store the new data.
With this algorithm, given any time t, at most one modification box exists in the data structure with time t. Thus, a modification at time t splits the tree into three parts: one part contains the data from before time t, one part contains the data from after time t, and one part was unaffected by the modification.
With the introduction of Apple's Mac OS X 10. 6 platform the Mach-O file has undergone a significant modification that causes binaries compiled on a 10. 6 computer to be by default only able to run on a 10. 6 computer.
With Carl H. Brans, he developed Brans-Dicke theory of gravitation, an equivalence-principle violating modification of general relativity inspired by Paul Dirac's large numbers hypothesis and Mach's principle.
With minor exceptions only, the Corps is now responsible for the examination, modification, repair and recovery of all mechanical, electronic, electrical and optical equipment of the Army beyond the capacity of unit non-technical personnel.
With some modification to the ship, she was able to carry a number of troops in addition to her refrigerated stores.
With some modification, traditional packrat parsing can support direct left recursion, but doing so results in a loss of the linear-time parsing property which is generally the justification for using PEGs and packrat parsing in the first place.
With these kinds of implants, as with any other kind of body modification, there are associated health risks.
With the advent of the Old Empire, this structure was preserved, requiring only slight modification.
With some modification, they make an inexpensive alternative to an etching / relief printing press.
With this modification it could fire the new mine shell, but accidentally using the heavier MG FF ammo could damage the gun.

With and notation
With infix notation, one easy mnemonic for remembering the order of operation is:
With the availability of good standard notation tutor books, teaching is possibly moving in this direction.
With the squares labeled as in algebraic notation, the white king starts on e1 and the black king on e8.
With the notation common in algebraic geometry, the Nullstellensatz can also be formulated as
With his theory connecting musical notation with poetic meter, he developed a unique style of poetry written in logaoedic dactyls, which was strongly influenced by the works of his beloved Anglo-Saxon poets.
With 12-hour time notation, most authorities recommend avoiding confusion by using " noon ", " 12 noon ", or " 12: 00 noon ".
With this notation, the Hodge conjecture becomes:
With 12-hour time notation, authorities recommend avoiding confusion between noon and midnight by using " midnight ", " 12 midnight ", or " 12: 00 midnight.
With appropriate software, the computer can handle sound generation, mixing of tracks, music notation, musical instruction, and other music composition tasks.
With the scarcity of chess literature in his small town, he learned about chess notation from the chess puzzles in the daily newspaper, and compiled a handwritten collection of almost 1000 games.
With this notation, Dickson's lemma may be stated in several equivalent forms:
With the use of a radix point, the notation can be extended to include fractions and the numeric expansions of real numbers.
With this notation, the &# 8472 ; function satisfies the following differential equation:
With some abuse of notation, one may write this as
With this notation the velocity becomes:
The cover of the first printing included the notation, " With minor modifications, it is also suitable for use with ADVANCED DUNGEONS & DRAGONS "; this was removed from later printings.
With the introduction of subtractive notation, XIV ( 14 ) no longer represents the same number as XVI but rather is an alternate way of writing XIIII.
With the multi-index notation the rule states more generally:
With a small rearrangement this can be rewritten in vector notation as the eigenvector equation
The propagation velocity of electromagnetic waves in free space, an idealized standard reference state ( like absolute zero for temperature ), is conventionally denoted by c < sub > 0 </ sub >:< ref > With ISO 31-5, NIST and the BIPM have adopted the notation c < sub > 0 </ sub >.</ ref >
With Big O notation, we say that some term " is " ( given some function g, where x is one of f < nowiki >'</ nowiki > s parameters ).
With mathematical notation, Rosenblatt also described circuitry not in the basic perceptron, such as the exclusive-or circuit, a circuit whose mathematical computation could not be processed until after the backpropagation algorithm was created by Werbos ( 1975 ).
With Charles-Victor Mauguin, he invented an international standard notation for crystallographic groups known as the Hermann – Mauguin notation or International notation.

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