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In United States patent law, utility is a patentability requirement. [1] As provided by 35 U.S.C. § 101, an invention is "useful" if it provides some identifiable benefit and is capable of use and "useless" otherwise. [2]
A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, canonical form, or canonical ordering). The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes.
To be valid, a patent's usefulness must be established, whether by demonstration or by sound prediction, at the time of the patent application. Any evidence of utility after this date is irrelevant, regardless of when the patent's validity is challenged. Later proof of an invention's inutility can be used to invalidate a patent. [6]
A sanity test can refer to various orders of magnitude and other simple rule-of-thumb devices applied to cross-check mathematical calculations. For example: If one were to attempt to square 738 and calculated 54,464, a quick sanity check could show that this result cannot be true. Consider that 700 < 738, yet 700 2 = 7 2 × 100 2 = 490,000 ...
Calculation in kind or calculation in-natura is a way of valuating resources and a system of accounting that uses disaggregated physical magnitudes as opposed to a common unit of calculation. As the basis for a socialist economy , it was proposed to replace money and financial calculation. [ 1 ]
These methods offer a suggested range for the calculation of materiality. Based on the audit risk, the auditor will select a value inside this range. [15] [failed verification] 0.5% to 1% of gross revenue; 1% to 2% of total assets; 1% to 2% of gross profit; 2% to 5% of shareholders' equity; 5% to 10% of net profit.
A back-of-the-envelope calculation is a rough calculation, typically jotted down on any available scrap of paper such as an envelope. It is more than a guess but less than an accurate calculation or mathematical proof. The defining characteristic of back-of-the-envelope calculations is the use of simplified assumptions.
For example, geometry has its origins in the calculation of distances and areas in the real world, and algebra started with methods of solving problems in arithmetic. Abstraction is an ongoing process in mathematics and the historical development of many mathematical topics exhibits a progression from the concrete to the abstract.