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A telescoping product is a finite product (or the partial product of an infinite product) that can be canceled by the method of quotients to be eventually only a finite number of factors. [ 7 ] [ 8 ] It is the finite products in which consecutive terms cancel denominator with numerator, leaving only the initial and final terms.
The formula can be derived as a telescoping product of either the areas or perimeters of nested polygons converging to a circle. Alternatively, repeated use of the half-angle formula from trigonometry leads to a generalized formula, discovered by Leonhard Euler, that has Viète's formula as a special case. Many similar formulas involving nested ...
Telescoping in mechanics describes the movement of one part sliding out from another, lengthening an object (such as a telescope or the lift arm of an aerial work platform) from its rest state. [1] In modern equipment this can be achieved by a hydraulics , but pulleys are generally used for simpler designs such as extendable ladders and amateur ...
A sequential one-pot synthesis with reagents added to a reactor one at a time and without work-up is also called a telescoping synthesis. In one such procedure [ 2 ] the reaction of 3-N-tosylaminophenol I with acrolein II affords a hydroxyl substituted quinoline III through 4 sequential steps without workup of the intermediate products (see image).
One advertising publication, DesignRush, likened the spot to an "Avengers-like uniting of brand mascots." Michelob Ultra Super Bowl commercial. This 60-second ad features actors Willem Dafoe and ...
ASP manufactures telescopic batons. [1] ASP batons have been adopted by law enforcement agencies in the United States, United Kingdom, Canada, New Zealand and Australia, and expandable batons are sometimes referred to as "Asps". ASP batons are friction-lock in design, and are opened by swinging the handle forcibly through the air.
“Revoking the authorized use of Red No. 3 is an example of the FDA using its risk and science-based authority to review the safety of products in the marketplace,” senior vice president of ...
The mega-retailer recently released its list of the top 100 Valentine's Day gifts of the year, and it includes a huge range of products with options for everyone on your list.
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