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Also , by explicitly delineating the logic of the computation , I give readers a means to derive alternative estimates if they wish to alter any of my individual ( heroic ) assumptions about some of the unknown parameters . A major question addressed in this work is what the minimal assumption necessary for the construction of single-server private information retrieval protocols with small communication complexity is . Among the various econometric estimation procedures , that have been proposed , the semiparametric approach based on Geweke and Porter-Hudak ( 1983 ) ( GPH ) has received particular attention from applied researchers since it makes only minimal assumptions on the short run component of the time series and allows for various types of long run behavior . The Hazards Assessment Center team used a conservative ( and accurate , as far as amount and composition was concerned ) assumption regarding possible site boundary doses ; i.e ., 100 % release of 100 grams of enriched Uranium ; to calculate an initial projected dose of 1.4 Rem at the fence . The existence of one-way functions is implied by all the these assumptions , and is essentially the minimal assumption needed for nontrivial zero knowledge . We will prove solutions are asymptotic to harmonic ( or caloric ) polynomials with both the polynomials and the error terms controlled apriorily under minimal assumptions on the coefficients . That can obviously be quite a large ( and uncertain ) assumption in a game where the alarmists make their gloom-and-doom predictions based on average global temperature changes on the order of a few tenths of a degree over several decades . The existence of one-way functions is implied by all these assumptions , and is essentially the minimal assumption needed for nontrivial zero knowledge . There is not much value in having a distinction between references and objects without this minimal assumption . The method ontology described here establishes the minimal assumptions that must be known to reuse the method . Firstly we show that the semantic security can be based on a computational rather than a decisional assumption , and then we show that a related cryptosystem may be made considerably more efficient under a slightly different ( but plausible ) assumption . Justify the use of this ( or any other ) assumption in the model presented in the submission . But the seemingly authoritative historical tenets of contemporary biblical criticism are often enough based largely on unwarranted and unexamined interpretations and philosophical presuppositions , some of which constitute a denial of central Christian beliefs ; what is presented as objective historical conclusions demonstrated with certainty is often enough only subjective speculative conjecture heavily dependent on unanalyzed religious ( or irreligious ) assumptions . Methods of inference which require minimal assumptions for validity are also needed . The last one , rmail is guaranteed to be available wherever Emacs is - - it is the uniformly minimal assumption mailer ( UMAM ) in Emacs . On one hand , zero-knowledge proofs and their cryptographic applications naturally raise interesting complexity issues , such as tradeoffs between various efficiency measures and the minimal assumptions needed to construct zero-knowledge proofs . To help readers in this task , these lists are aimed at presenting examples where problems may exist given certain allowable ( but not always obligatory ) assumptions . In some cases the ( tacit ) assumption seems to be that the research should contribute to a better protection and promotion of human rights . We must always keep in mind that this evolutionary thesis rests on a set of still unproved ( perhaps unprovable ) assumptions , and that it is equally possible that Plato meant what he said when he announced in the VIIth letter that he had written nothing so far . This work carefully re-examined the lead contamination issue from the perspective of 1 ) new regulations causing a shift from chlorine to chloramine disinfectant , 2 ) assumptions guiding sampling strategies , 3 ) existing performance standards for brass , and 4 ) galvanically driven corrosion of lead bearing plumbing materals .