scholarly journals On Primitive 3-smooth Partitions of $n$

10.37236/1287 ◽  
1996 ◽  
Vol 4 (1) ◽  
Author(s):  
Michael Avidon
Keyword(s):  
Average Order ◽  
Smooth Partition

A primitive 3-smooth partition of $n$ is a representation of $n$ as the sum of numbers of the form $2^a 3^b$, where no summand divides another. Partial results are obtained in the problem of determining the maximal and average order of the number of such representations. Results are also obtained regarding the size of the terms in such a representation, resolving questions of Erdős and Selfridge.

Complexity of Chinese Ideograms is Related to the Number of Sampling Elements

Perception ◽  
1997 ◽  
Vol 26 (1_suppl) ◽  
pp. 121-121
Author(s):  
M V Danilova ◽  
V M Bondarko ◽  
Y E Shelepin
Keyword(s):  
Spatial Frequency ◽  
Visual Images ◽  
Resolution Limit ◽  
Frequency Channel ◽  
Average Order ◽  
Threshold Size ◽  
Spatial Frequency Channel ◽  
Qualitative Measure ◽  
Tuning Frequency

Two sets of psychophysical experiments were carried out to find a qualitative measure of the complexity of visual images. The stimuli were 15 Chinese ideograms of the same size. In experiment 1, observers were asked to rate the complexity of images. In experiment 2, for each stimulus the threshold size was determined, defined as the smallest size for which the perceived quality of the image was the same as for large (2 deg) stimuli, ie all details were clearly seen and the stimuli had the same contrast. The measured threshold sizes were in the range 7.9 – 27.6 min arc. Analysing the data further, we found that for some ideograms the sizes of the minimal details (strokes, dots) corresponded to the resolution limit (1 min arc). Some ideograms contained parts with parallel stripes forming quasi-gratings. The distances between stripes at threshold were 1.8 min arc which corresponds to the tuning frequency of the highest spatial frequency channel (Wilson et al, 1983 Vision Research23 873 – 882). The average order of ideograms sorted by degree of complexity was similar to the order according to threshold size. Thus we found a direct correspondence between the complexity of an object and a description in terms of the minimal number of elements needed to preserve the quality of a reduced image. Our results are in agreement with concepts of complexity expressed as a number of details in objects as suggested by Landolt and Snellen, or as a number of spatial-frequency channels as suggested by Ginsburg (1971 IEEE Proceedings 283 – 290).

scholarly journals Research on Dynamic Storage Location Assignment of Picker-to-Parts Picking Systems under Traversing Routing Method

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Xiangbin Xu ◽  
Chenhao Ren
Keyword(s):  
Average Order ◽  
Online Retail ◽  
Whole Process ◽  
Operation Process ◽  
Storage Location ◽  
Final Adjustment ◽  
Location Assignment ◽  
Dynamic Storage ◽  
Varying Demand ◽  
Demand Correlation

Considering time-varying demand of online retail industry, the traditional static storage location assignment is converted into a multistage storage location assignment process based on the idea of gradual and small-step-forward optimization, which can respond to rapid changes in demand by adjusting the storage location of SKUs in the warehouse in real time and dynamically. First, the study formulates the framework dynamic storage location assignment. Then, the adjustment gain model of dynamic storage location assignment is built, and a genetic algorithm is designed to find the final adjustment solution. Finally, the computer program is developed to simulate the whole process. Simulation and data analysis results show that dynamic storage location assignment can effectively improve picking efficiency when the average order size is small and large demand correlation strength. Dynamic storage location assignment simplifies the warehouse operation process by combining the picking operation and storage location assignment into one without changing the picker’s current walking route, which can offer some theoretical guidance for online retail enterprises implementing dynamic storage location assignment.

Estimating Concordance in a Set of Rank Orders

1968 ◽  
Vol 23 (3_suppl) ◽  
pp. 1279-1282 ◽  
Author(s):  
Willem K. B. Hofstee
Keyword(s):  
Coefficient Alpha ◽  
Average Order ◽  
Rank Orders ◽  
Special Case ◽  
Kendall’S W

Kendall's W coefficient and Willerman's adaptation of W for sociometric rankings are difficult to interpret since these indices are different both from the average intercorrelation in a set of rank orders and from the reliability of the average order. A substitute coefficient called a is presented, being a special case of coefficient alpha, which relates to the average rho according to the Spearman-Brown formula, a w is easier to interpret than W, while W has no special advantages over a w. By analogy, a coefficient called aw is developed for the case of sociometric rankings.

The Development of Memory in Children [Experimentelle Untersuchungen über die Gedachtnissentwickelung bei Schülkindern]. (Zeits. f. Psych., Bd. xxvii, H. 1 and 2, 1901.) Lobsien. Marx.

1902 ◽  
Vol 48 (200) ◽  
pp. 153-153
Author(s):  
Havelock Ellis
Keyword(s):  
Marked Improvement ◽  
Rapid Development ◽  
Exact Order ◽  
Average Order ◽  
Visual Words ◽  
Visual Objects ◽  
Simultaneous Development ◽  
Experimentelle Untersuchungen ◽  
Group A ◽  
Unknown Words

These experiments were made on 238 boys and 224 girls, between the ages of 9 and 14, in the schools at Kiel. Eight different kinds of memory were investigated, involving in each group a test of the ability to remember in exact order nine sensory impressions (nine objects exhibited in succession, nine figures repeated, nine names of visual objects repeated, nine names of states of feeling, nine difficult unknown words, etc.). Among the boys the average order of excellence reached was as follows (in decreasing values): real things, figures, words referring to touch, visual words, words representing sounds, actual sounds, words referring to feelings, difficult words. In every group (except that of objects exhibited) there was a regular improvement with age. In regard to objects seen, sounds heard, and representations of feeling, there was a marked improvement in memory about the thirteenth year. The memory for figures, and for sound-words, touch-words, and feeling-words, showed most rapid development at an earlier age (ten to eleven years). There was no tendency to a simultaneous development in all the groups; mental energy seemed to be concentrated on one group at a time.

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