scholarly journals An algorithm for matrix extension and wavelet construction

1996 ◽  
Vol 65 (214) ◽  
pp. 723-738 ◽  
Author(s):  
W. Lawton ◽  
S. L. Lee ◽  
Zuowei Shen
Keyword(s):  
2016 ◽  
Vol 23 (01) ◽  
pp. 97-104 ◽  
Author(s):  
H. Eshraghi ◽  
R. Hafezi ◽  
Sh. Salarian ◽  
Z. W. Li

Let R and S be Artin algebras and Γ be their triangular matrix extension via a bimodule SMR. We study totally acyclic complexes of projective Γ-modules and obtain a complete description of Gorenstein projective Γ-modules. We then construct some examples of Cohen-Macaulay finite and virtually Gorenstein triangular matrix algebras.


2014 ◽  
Vol 97 (6) ◽  
pp. 1585-1591
Author(s):  
Neil Sharma ◽  
Lauren Bambusch ◽  
Thu Le ◽  
Amit Morey ◽  
Melinda Hayman ◽  
...  

Abstract The performance of InstantLabs®Salmonella Species Food Safety Kit to detect Salmonella in four food matrixes was validated against the International Organization for Standardization (ISO) reference method 6579:2002. The matrixes (raw ground beef, raw chicken breast, raw ground chicken, and lettuce) were inoculated with low levels of Salmonella (<1 CFU/test portion) to generate fractional positives (5–15) in 20 inoculated samples. These matrixes were co-inoculated with Escherichia coli O157:H7 at two to five times the level of Salmonella. Samples were validated using 375 g (meat) or 25 g (lettuce and poultry) test portions enriched in FASTGRO™ SE at 42 ± 1°C for 12 h and 10 h, respectively. All samples were confirmed using the ISO reference method, regardless of initial screen result. The InstantLabs test method was shown to perform as well as or better than the reference method for the detection of Salmonella species in ground beef, chicken breast, ground chicken, and lettuce. Inclusivity and exclusivity testing revealed no false negatives among the 100 Salmonella serovars and no false positives among the 30 non-Salmonella species examined, respectively.


1993 ◽  
Vol 160 (1) ◽  
pp. 111-147 ◽  
Author(s):  
Vladimir K. Dubovoj ◽  
Bernd Fritzsche ◽  
Stefan Fuchs ◽  
Bernd Kirstein

2020 ◽  
Vol 103 (1) ◽  
pp. 161-175
Author(s):  
Dane Brooks ◽  
Benjamin Bastin ◽  
Erin Crowley ◽  
James Agin ◽  
Mike Clark ◽  
...  

Abstract Background: The iQ-Check Real-Time PCR kits use PCR technology based on gene amplification and detection by a real-time PCR thermalcycler for the detection of target analytes in select food matrices. The iQ-Check E. coli O157:H7 [Performance Tested MethodSM (PTM) 020801] and STEC VirX and STEC SerO (combined PTM 121203) methods were previously validated for different matrices under different enrichment schemes. Objective: To modify the current iQ-Check E. coli O157:H7 Kit for the detection of Escherichia coli O157:H7 from 25 to 375 g for raw ground beef (17% fat), raw beef trim, and fresh spinach. In addition, a matrix extension was validated for iQ-Check E. coli O157:H7 for raw chicken breast without skin (25 g), raw chicken thigh with skin (25 g), mechanically separated chicken (25 g), and raw ground pork (25 g). The study also included the modification of the iQ-Check STEC VirX and SerO Kits for the detection of non-O157 Shiga toxin–producing E. coli (STEC) for raw ground beef (375 g), raw beef trim (375 g), and fresh spinach (375 g) from STEC Enrichment Broth to buffered peptone water (BPW). All tests were carried out at 8–22 h (10–22 h for fresh spinach). Methods: Ground beef, beef trim, and spinach were co-inoculated with E. coli O157:H7, non-O157 STECs, and Salmonella spp. and analyzed for E. coli O157:H7 and non-O157 STECs after an 8-22 h enrichment in BPW for the beef matrices and after a 10–22 h enrichment in BPW for spinach. The chicken matrices were inoculated with E. coli O157:H7 only and analyzed after an 8–22 h enrichment in BPW. The iQ-Check Free DNA Removal Solution workflow was utilized for all matrices. Confirmations at the 22 h time point and method comparisons were conducted with the appropriate reference method as outlined in the U.S. Food and Drug Administration Bacteriological Analytical Manual Chapter 4A or the U.S. Department of Agriculture Food Safety and Inspection Service Microbiology Laboratory Guidebook Chapters 5.09 and 5B.05. For the iQ-Check STEC VirX and STEC SerO Kits, inclusivity and exclusivity were also performed. Results: The two inclusivity and exclusivity evaluations indicated that the test methods can accurately detect the target analytes and correctly excluded nontarget organisms after 8 h of enrichment. In the method comparison study, the iQ-Check E. coli O157:H7 and STEC VirX and STEC SerO test kits demonstrated no statistically significant differences between candidate and reference method results or between presumptive and confirmed results for all food matrices analyzed and the two time points (8 or 10 and 22 h). Both time points produced the same results, with no discrepancies. Conclusions: The iQ-Check real-time PCR kits are effective methods for the detection of E. coli O157 and non-O157 STECs (both the virulence factors and the O groups) from raw ground beef, raw beef trim, and fresh spinach in 375 g samples enriched in BPW for 8–22 h (10–22 h for fresh spinach). In addition, the iQ-Check E. coli O157 Kit is effective in detecting E. coli O157 in 25 g samples of raw chicken breast without skin, raw chicken thigh with skin, mechanically separated chicken, and raw ground pork. The iQ-Check test kits allow the end user to pair enrichments for multiple target analytes, allowing the user to prepare a single enrichment and perform a single DNA extraction. The Free DNA Removal Solution removes free DNA from samples prior to PCR analysis, protecting DNA from intact and living cells. Highlights: The method modifications were granted based on the data collected.


2009 ◽  
Vol 92 (6) ◽  
pp. 1861-1864 ◽  
Author(s):  
Ronald Johnson ◽  
John Mills ◽  
Judith Coln-Reveles ◽  
Thomas Hammack

Abstract A method modification study was conducted for the VIDAS Salmonella (SLM) assay (AOAC Performance Tested MethodSM 020901) using the EasySLM method to validate a matrix extension for peanut butter. The VIDAS EasySLM method is a simple enrichment procedure compared to traditional Salmonella methods, requiring only pre-enrichment and a single selective enrichment media, Salmonella Xpress 2 (SX2) broth. SX2 replaces the two selective broths in traditional methods and eliminates the M broth transfer, incubation, and subsequent pooling of M broths prior to VIDAS assay. The validation study was conducted under the AOAC Research Institute Emergency Response Validation program. VIDAS SLM was compared to the U.S. Food and Drug Administration's Bacteriological Analytical Manual (FDA-BAM) method for detection of S. enterica ser. Typhimurium in peanut butter. All peanut butter samples were prepared, blind-coded, and shipped to the method developers' laboratory by Q Laboratories. In addition, Q Laboratories performed most probable number and reference method analyses on peanut butter samples. The VIDAS EasySLM ChromID Salmonella (SM2) Agar was previously validated in the Performance Tested Methods program for the detection of Salmonella in roast beef, raw ground pork, turkey, pork sausage, raw chicken breast, dry pet food, whole milk, ice cream, bagged spinach, shrimp (raw, peeled), raw cod, spent irrigation water, pecans, peanut butter, dry pasta, cake mix, ground black pepper, nonfat dry milk, liquid eggs, cantaloupe, and orange juice. In the matrix extension study for peanut butter, the VIDAS EasySLM method was shown to be equivalent to the appropriate reference culture procedure using both buffered peptone water pre-enrichment and the FDA-BAM lactose pre-enrichment in the two-step enrichment method with SX2 media. The current study extends the validation to include peanut butter.


2020 ◽  
Author(s):  
Herbert Wallner ◽  
Harro Schmeling

<p>Within the scope of our project “Modelling melt ascent through the asthenosphere-lithosphere-continental crust system: Linking melt-matrix-two-phase flow with dyke propagation” it is necessary to implement mechanisms with appropriate conditions to generate dykes which are propagating independently.</p><p>Conditions for self-propagating depend on the density contrast of melt and rock and the geometry of the fracture. Certain limits for the fluid-filled volume and dyke width must be reached. The height must be longer than the Bouguer length. To satisfy these conditions enough melt under overpressure must be available in the source region to supply the growing dyke.</p><p>A known and accepted mechanism for dyke generation is a tension fracture whichs opening space immediately is filled by fluid melt. The normal stress due to expansion of the magma on the wallrock causes tension therein parallel to the melt front. In brittle material the yield stress for extension is very low and the confining cold rock easily cracks.</p><p>With depth pressure, temperature and ductility of crustal rock and consequently the yield stress for the tensile cracking increases. Furthermore, the background permeability or connectivity, and finally the height of fluid columns decrease and the fluid overpressure is not high enough to exert matrix extension. Another dyke initiation mechnism must be found for the deeper parts of the crust.</p><p>A not smooth melt front - and pillows are often seen on top of magma chambers – provides shear stresses and stress concentrations. Above a certain yield stress for shear failure shear bands start to evolve. In such a network of fracture zones permeability should increase. Melt may intrude, coalesce bands and develop a growing dyke. Such a local scenario will be modelled and results presented. A further aim is the parametrisation of these mechanisms.</p>


2014 ◽  
Vol 97 (5) ◽  
pp. 1374-1383 ◽  
Author(s):  
Debra Foti ◽  
Lei Zhang ◽  
Preetha Biswas ◽  
Mark Mozola ◽  
Jennifer Rice

Abstract A matrix extension study was conducted to validate the ANSR®Salmonella method for use with pasteurized egg products. Four diverse egg product types were tested by the ANSR method and the U.S. Department of Agriculture's Microbiology Laboratory Guidebook reference culture procedure. There were no significant differences in the number of positive test portions by the two methods for any of the products examined. Independent laboratory testing of pasteurized liquid egg also found no significant difference in performance between the ANSR and reference culture procedures. There were no false-positive results obtained in either internal or independent laboratory testing. Inclusivity testing using a new enrichment medium specifically designed for use with pasteurized egg products produced 112 positive results out of 113 Salmonella spp. strains tested, with only a single strain of S. Weslaco testing negative by the ANSR assay. Exclusivity testing of 38 non-salmonellae produced all negative ANSR results. It is concluded that ANSR Salmonella is a reliable, sensitive, and specific method for detection of Salmonella spp. in pasteurized egg products.


2006 ◽  
Vol 158 (1) ◽  
pp. 133-159 ◽  
Author(s):  
Bernd Fritzsche ◽  
Stefan Fuchs ◽  
Bernd Kirstein

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