[1955], proof rules aregame moves, and proofs are winning strategies for players. Viewed that way, proofs suddenly seem close to the dynamics we have placed at centre stage in this chapter. In this spirit, current ‘logic of proofs’ (starting fromArtemov [1994]) is developing a general ...
strategies such as proving implications and equivalence, as well as indirect proofs and mathematical induction. Many of the students in the course studied other proof-based mathematics courses along with this course. The scale of the course was large: there were 600 students who showed some activit...
Yan (2019) described this literature as constituting two camps of research: either as "the most important mathematical ideas, methods or strategies used in a proof" or "as an outline, overview, or architecture of a proof" (p. 2). The former implicitly characterizes proofs as active entities...
Chapter 1 Logic and Proof
with zero flux boundary conditions, different approaches have been proposed to define a space-fractional differential operator and to compute the solution to the corresponding fractional problem, but to the best of our knowledge, a clear relationship between these strategies is yet to be established....
The present study has some limitations, being the most important the relatively low number of cases, but our results provide a proof-of-concept for the use of data mining strategies in the management of acromegaly patients. Thus, a constraint for implementation of personalized medicine, whether de...
replicating trading strategies but has to be proved separately. 3 1.3. Outline of the paper In the following section, we state the Euler scheme for the stochastic differential equation (2) with stochastic drift term. We first use results of Kurtz and Protter to prove that this scheme con...
next block. Furthermore, provided that all miners follow the protocol, this selection is performed in a randomized fashion proportionally to the computational power of each miner. (Deviations from the protocol may distort this proportionality as exemplified by “selfish mining” strategies [10,25].)...
Hugenschmidt, J., Kalogeropoulos, A., Soldovieri, F., Prisco, G.: Processing strategies for high-resolution GPR Concrete Inspections. NDT E Int. 43(4), 334–342 (2010). https://doi.org/10.1016/j.ndteint.2010.02.002 Article Google Scholar Lai, W.L., Dérobert, X.: A review of...
After the neurofeedback training, participants filled in the PANAS as well as a questionnaire about their strategies for self-regulation. The latter questionnaire also addressed whether the participants understood and complied to the task, whether they felt they improved their self-regulation ability, ...