Although there is now a considerable volume of high-strain (<105cycles) fatigue data for uniaxial tension-compression and simple-bending conditions, relatively little information is available regarding the effects ...
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Although there is now a considerable volume of high-strain (<105cycles) fatigue data for uniaxial tension-compression and simple-bending conditions, relatively little information is available regarding the effects of stress and strain biaxiality. A method which has been used to study the effects of biaxiality on longlife fatigue strength is to subject thin-walled tubes to repeated internal pressure and an end load which is in phase with, and a linear function of, the pressure. The object of the present research was to use this method to study the influence of stress biaxiality on the high-strain fatigue behavior of a high strength, aluminum-4% copper alloy at room temperature. From a continuum-mechanics point of view, this material is completely elastic after the first few load cycles. Cylinder results for hoop to axial stress ratios of 2:1, 1:1, 1:2 and 2: −1 suggest that fatigue failure of this material in the life range 103to 105cycles is primarily dependent on the maximum range of tensile stress. This conclusion and a study of fracture surfaces led to the use of linear-elastic fracture mechanics to interpret the fatigue and brittle fracture behavior of these cylinder
In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classificati...
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In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain two-dimensional left-symmetric algebras. (C) 2004 Elsevier Inc. All rights reserved.
When no criterion variable is available, the combination of tests or other variables by the use of multiple correlation is not possible. Three methods of combining variables are described mathematically, and discussed...
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When no criterion variable is available, the combination of tests or other variables by the use of multiple correlation is not possible. Three methods of combining variables are described mathematically, and discussed with reference to the linear combination of tests. Iterative computational schemes are outlined and illustrated.
We consider universal function's construction for classes of sums of two arguments modulo 2. We constructed functions with optimal domain cardinality O(log n).
We consider universal function's construction for classes of sums of two arguments modulo 2. We constructed functions with optimal domain cardinality O(log n).
We consider the problem of choosing a Boolean such that for any linear function there are input tuples which uniquely determine it among all linear functions. It is shown that the smallest possible number of input tup...
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We consider the problem of choosing a Boolean such that for any linear function there are input tuples which uniquely determine it among all linear functions. It is shown that the smallest possible number of input tuples in the domain of definition grows linearly with the number of variables. This research was supported by the Program of President of Russian Federation for support of young scientists, grant MD 757.2011.9.
作者：
Miller, WENIOSH
Ctr Dis Control & Prevent Morgantown WV 26505 USA
Previous work has shown that cross-over trial data can be analysed using within-subject linear functions. Scores that result from linear functions are graphed in quantile comparison plots in order to visualize the dif...
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Previous work has shown that cross-over trial data can be analysed using within-subject linear functions. Scores that result from linear functions are graphed in quantile comparison plots in order to visualize the differences between factor levels. An example suggests how this visualization can be used to identify outliers or to provide a more specific interpretation of results. Additional examples indicate how this approach can be used to track carry-over differences or interaction effects. This article is a US Government work and is in the public domain in the United States.
linear functions of order statistics from bivariate, exchangeable, continuous and elliptical random vectors have a skew-elliptical distribution. This result generalizes previous ones on order statistics and skewed dis...
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linear functions of order statistics from bivariate, exchangeable, continuous and elliptical random vectors have a skew-elliptical distribution. This result generalizes previous ones on order statistics and skewed distributions. (C) 2008 Elsevier B.V. All rights reserved.
作者：
Hong, Dae S.Choi, Kyong MiUniv Iowa
Coll Educ Dept Teaching & Learning Lindquist Ctr N 285 Iowa City IA 52242 USA Univ Virginia
Dept Curriculum Instruct & Special Educ Charlottesville VA USA
This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differ...
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This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide different opportunities to learn (OTL). UCSMP Algebra places strong emphasis on real-life applications of linear functions rather than on pure mathematics and mathematical algorithms. Also, compared to Korean textbooks, UCSMP Algebra offers more OTL for students to solve, explain, and reason about higher level cognitively demanding mathematics problems than Korean secondary textbooks. Contradictory results, compared to previous studies about East Asian mathematics textbooks indicate the need for further study to compare secondary textbooks from more East Asian countries. Also, with the results of this study, we need to understand the results of international assessments more carefully.
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