This is illustrated by two refinements of the Jensen's inequality and one refinement of the Lah-Ribari inequality. As an application we generalize a recent result for strongly convex functions.HORVTH, LSZLMathematical Inequalities & Applications...
7.Methods Generalization, illation are used to prove the conclusion.方法采用推理的方法进行了证明。 8.A New Proving Thought and Method of Black-Scholes Equation;Black-Scholes方程的一种新的证明思路和方法 9.Structure is one of the methods that proves inequality.构造法是证明不等式常用的方法之一。
For a distribution D, we write s\leftarrow D to denote that s is drawn from D. 2.2 Homomorphic OWF In this section we follow the framework of [BDLN16] in defining homomorphic one-way functions over integer vectors (which includes polynomial rings) as well as amortized zero-knowledge ...
As for the word "predicate", its etymology is prae = before, dicare = to dictate; this makes sense since the predicate of a sentence in essence gives a verdict of true or false for something. One can interpret "predicated upon", which means "based upon", as making a verdict based ...
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Hill Route – 6.5km of hilly roads with gradients from 6.5% to 26%. High Speed Bowl – 5 lanes of neutral steering, allowing test speeds in excess of 240 km/h. Urban course Outdoor handling circuit Steering plate and dynamic plate One-mile straight Noise generating surfaces for acoustic as...
Having adopted a proof-irrelevantProp, one might consider it legitimate to use, for example, the law of the excluded middle,p ∨ ¬p, wherepis any proposition. Of course, this, too, can block computation according to the rules of CIC, but it does not block bytecode evaluation, as desc...
One is readabilit y , as it is easier to understand the pro of if the subgoals are explicitly em b edded in the pro of script. Another is to minimize the size of the co de sen t to the HOL pro v er. The check com- mand assumes that the subgoal sp eci�ed b y an outer...
For example, one assumption might be that a division calculation must always be checked to ensure that a denominator value is non-zero before performing a division. Yet, conventional theorem-proving tools are difficult to use by operators. This is so, because existing theorem-proving tools do ...
There have been solutions for updating a BIOS image associated with a processor without having to physically replace the ROM-BIOS at each computer in the network. For example, one solution is to provide the computer with a Flash EEPROM for the BIOS, also known as a Flash BIOS. With a Flas...