Sentence examples for rules for manipulating from inspiring English sources

The construction of a system of logic, in fact, involves two distinguishable processes: one consists in setting up a symbolic apparatus a set of symbols, rules for stringing these together into formulas, and rules for manipulating these formulas; the second consists in attaching certain meanings to these symbols and formulas.

It follows immediately from the rules for manipulating Fourier transforms that any Schwartz function can be written as a Riesz potential, (1.5).

Once an appropriate directed acyclic graph has been constructed, standard rules for manipulating such graphs can be used to deduce whether the missingness mechanism falls within one of the classes in which the CRA logistic-regression exposure odds-ratio estimate is asymptotically unbiased.

Overall, our findings indicate that there is no ideal set of typical alterations when co-opting natural utilization pathways for titratable control and suggest design rules for manipulating these pathways to advance basic genetic studies and the metabolic engineering of microorganisms for optimized chemical production.

The logician specifies the basic symbol set and some rules for manipulating strings to produce new ones.

Choosing one out of many solutions as the principal value leaves us with functions that are not continuous, and the usual rules for manipulating powers can lead us astray.

In just the last few years, BP has paid $485 million in fines and settlements to the US government for environmental crimes, willful neglect of worker safety rules, and penalties for manipulating energy markets".

Alekhine was widely criticized for manipulating the rules, and when he died in 1946 FIDE assumed the authority to organize world championship matches.

Shortly after Barclays was hit with a £290m fine for manipulating the crucial interest rate in June 2012, George Osborne changed the rules so that the fines went to the exchequer rather than into the coffers of the regulator.

Existing rules are being enforced more energetically: the Commodity Futures Trading Commission's $200m fine levied on Barclays, a British bank, for manipulating Libor, the inter-bank lending rate, was its largest ever.Will the election change that trend?

Tom Hayes, the former star trader serving an 11-year jail sentence for manipulating Libor interest rates, has been ordered to pay £878,806 after a court ruled the money was the proceeds of crime.