相关论文: Problems of Testology

Multiple testing problems arise naturally in scientific studies because of the need to capture or convey more information with more variables. The literature is enormous, but the emphasis is primarily methodological, providing numerous…

In this paper, a problem of testing is discussed when the samples have been drawn from the normal distribution. The study of hypothesis testing is also extended to Baye's set up.

We describe some open problems related to homology representations of subposets of the partition lattice, beginning with questions first raised in Stanley's work on group actions on posets.

Test functions are important to validate new optimization algorithms and to compare the performance of various algorithms. There are many test functions in the literature, but there is no standard list or set of test functions one has to…

Tests can be useful towards resolving issues on code repositories. However, relying too much on tests for issue resolution can lead to code that technically passes observed tests but actually misses important cases or even breaks…

Discusses several integrability tests for nonlinear evolution equations.

In this note we briefly survey and propose some open problems related to isoparametric theory.

We propose some problems on the classification of toric manifolds from the viewpoint of topology and survey related results.

We review various aspects of disk instability models. We discuss problems and difficulties and present ways that have been suggested to solve them.

We discuss the adequacy of tests for intelligent systems and practical problems raised by their implementation. We propose the replacement test as the ability of a system to replace successfully another system performing a task in a given…

In this paper, we will continue the investigation of Waring's problem, and give further improvements.

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

The problem of advancing coordinatization of mathematics is considered. The need to develop a theory for measuring value and complexity of mathematical implications and proofs is discussed including motivations, benefits and implementation…

An attempt of a new kind of complexity anthropology is considered.

In this note we present a brief overview of variational methods to solve homogenization problems. The purpose is to give a first insight on the subject by presenting some fundamental theoretical tools, both classical and modern. We conclude…

We study some problems inherent with certain forms of functional depth, in particular, zero depth and lack of consistency.

Although hypothesis tests play a prominent role in Science, their interpretation can be challenging. Three issues are (i) the difficulty in making an assertive decision based on the output of an hypothesis test, (ii) the logical…

We give a definition for Obstacle Problems with measure data and general obstacles. For such problems we prove existence and uniqueness of solutions and consistency with the classical theory of Variational Inequalities. Continuous…

A discussion of homotopy limits of (1-)stacks, with an emphasis on fixed point stacks.

The status of precision tests of the Standard Model is reviewed.