Demand and choice elasticities for a separable product group

A recent tendency in Ukraine is the changes in the structure of food consumption, which are caused by the reduced consumption of some product groups and by their decreasing quality. A persisting problem is that affordable and easy-to-consume food products made with due consideration of the needs of patients with certain categories of diseases can hardly be found on the domestic market. The products present on the domestic market are all imported, available in a limited assortment, very expensive, and not customised to suit all the specific needs of human metabolism. Approaches to the nutrition of patients with certain types of nutrition-dependent and non-infectious diseases have been analysed. It has been established that аn effective component in the diet of patients with non-infectious diseases can be plant-based milk analogues. It has been determined how important it is to use domestic raw materials: it will contribute to expanding domestic production, will help the gross domestic product growth, and will reduce the product’s costs, thus reducing the costs of diagnostic and treatment procedures. It has been established that the assortment of plant-based milk analogues is constantly expanding. The vegetable raw material conventionally used to make this product group has been analysed. It has been shown that fenugreek seeds can be most effectively used to make special food products (in particular, plant-based milk analogues) for the nutritional support of patients with non-infectious diseases. This is feasible due to the availability of the raw material, simple cultivating conditions, the chemical composition of the product (e. g. a wide range of biologically active substances), low costs of the product when it is made from domestic raw materials, and the simple production technology. It is expected that manufacture of milk analogues from fenugreek seeds will widen the assortment of this product group, and satisfy the target consumers’ needs of safe and high quality products that offer an alternative to imports.

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A Comparison of Tobacco Product Prevalence by Different Frequency of Use Thresholds Across Three US Surveys

10.21203/rs.3.rs-333579/v1 ◽

2021 ◽

Author(s):

Luz María Sánchez-Romero ◽

Christopher J. Cadham ◽

Jana L. Hirschtick ◽

Delvon T. Mattingly ◽

Beomyoung Cho ◽

...

Keyword(s):

Tobacco Use ◽

Smokeless Tobacco ◽

Tobacco Product ◽

Adult Age ◽

Product Group ◽

Use Patterns ◽

Product Use ◽

Frequency Of Use ◽

Smokeless Tobacco Use ◽

Frequency Threshold

Abstract Background: With the increasing changes in tobacco use patterns, “current use” definition and the survey used may have important implications for monitoring population use trends. Methods: Using three US surveys (2014/15 TUS-CPS, NHIS and PATH), we compared the adult (age 18+) prevalence of four product groups (cigarettes, other combustibles, smokeless tobacco, and e-cigarettes) based on three past 30-day frequency of use thresholds: 1+, 10+, and 25+ days. We also examined mutually exclusive single, dual, and polytobacco users as a percentage of total users for each product group. Results: Regardless of threshold or product, the prevalence was higher in PATH followed by NHIS and TUS-CPS, in some cases by large percentages. The differences in cigarette and smokeless tobacco use prevalence in going from the 1+ to 10+ days and to the 25+ days threshold were minimal. Applying different frequency thresholds had the largest impact on other combustibles prevalence, with a 60% reduction with the 10+ days threshold and a 80% reduction with the 25+ days threshold, compared to the 1+ days threshold, followed by e-cigarettes with 40% and 60% reductions, respectively. The proportion of dual and polytobacco users decreased considerably when using the 10+ vs. the 1+ days threshold and polytobacco use was almost non-existent with the 25+ days threshold. Conclusion: The estimated prevalence of each tobacco product use depends largely on the survey and frequency of use threshold adopted. The choice of survey and frequency threshold merits serious consideration when monitoring patterns of tobacco use.

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Automorphisms of Regular Wreath Product -Groups

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/2009/245617 ◽

2009 ◽

Vol 2009 ◽

pp. 1-12 ◽

Cited By ~ 2

Author(s):

Jeffrey M. Riedl

Keyword(s):

Finite Group ◽

Automorphism Group ◽

Representation Theory ◽

Wreath Product ◽

Cyclic Group ◽

Product Group ◽

Finite Cyclic Group ◽

Arbitrary Finite Group

We present a useful new characterization of the automorphisms of the regular wreath product group of a finite cyclic -group by a finite cyclic -group, for any prime , and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(), where is the regular wreath product of a finite cyclic -group by an arbitrary finite -group.

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Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models described in terms of Standard Absolute Coordinates

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4053368 ◽

2021 ◽

Author(s):

Andreas Mueller

Keyword(s):

Rigid Body ◽

Lie Group ◽

Time Integration ◽

Integration Methods ◽

Product Group ◽

Local Coordinates ◽

Group Integration ◽

The Absolute ◽

Lie Group Integration ◽

Absolute Coordinates

Abstract A classical approach to the MBS modeling is to use absolute coordinates, i.e. a set of (possibly redundant) coordinates that describe the absolute position and orientation of the individual bodies w.r.t. to an inertial frame (IFR). A well-known problem for the time integration of the equations of motion (EOM) is the lack of a singularity-free parameterization of spatial motions, which is usually tackled by using unit quaternions. Lie group integration methods were proposed as alternative approach to the singularity-free time integration. Lie group integration methods, operating directly on the configuration space Lie group, are incompatible with standard formulations of the EOM, and cannot be implemented in existing MBS simulation codes without a major restructuring. A framework for interfacing Lie group integrators to standard EOM formulations is presented in this paper. It allows describing MBS in terms of various absolute coordinates and at the same using Lie group integration schemes. The direct product group SO(3)xR3; and the semidirect product group SE(3) are use for representing rigid body motions. The key element of this method is the local-global transitions (LGT) transition map, which facilitates the update of (global) absolute coordinates in terms of the (local) coordinates on the Lie group. This LGT map is specific to the absolute coordinates, the local coordinates on the Lie group, and the Lie group used to represent rigid body configurations. This embedding of Lie group integration methods allows for interfacing with standard vector space integration methods.

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Consumer Products Contributing to Fall Injuries in Children Aged <1 to 19 Years Treated in US Emergency Departments, 2010 to 2013: An Observational Study

Global Pediatric Health ◽

10.1177/2333794x18821941 ◽

2019 ◽

Vol 6 ◽

pp. 2333794X1882194 ◽

Cited By ~ 2

Author(s):

Bina Ali ◽

Bruce Lawrence ◽

Ted Miller ◽

David Swedler ◽

Jennifer Allison

Keyword(s):

Surveillance System ◽

Product Information ◽

Age Groups ◽

Consumer Products ◽

Emergency Department Visits ◽

Injury Surveillance ◽

Injury Surveillance System ◽

Fall Injuries ◽

Product Group ◽

Home Furnishings

Consumer products are often associated with fall injuries, but there is limited research on nonfatal unintentional falls in children that examines both the child’s age group and the involvement of consumer products and activities. We combined 2 data sources to investigate products and activities that contribute to fall injuries in children at different developmental ages (ie, <1, 1-2, 3-4, 5-9, 10-14, and 15-19 years). We analyzed data from the National Electronic Injury Surveillance System–All Injury Program for the years 2010 through 2013 and augmented it with product information from the National Electronic Injury Surveillance System. Between 2010 and 2013, children aged <1 to 19 years accounted for 11.1 million nonfatal unintentional fall-related emergency department visits. Fall injuries associated with home furnishings/fixtures were highest among children in age groups <1 year, 1 to 2 years, and 3 to 4 years. In the home furnishings/fixtures product group, beds were the leading contributor to falls. Fall injuries associated with sports/recreation were highest among children in age groups 5 to 9 years, 10 to 14 years, and 15 to 19 years. In this product group, monkey bars and basketball were the leading contributors to falls. Our findings indicate priority areas for falls injury prevention and intervention.

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