Search or ask a question

What is a false simplex?

Noise (signal processing)

Lattice (group)

Best insight from top research papers

A false simplex refers to a concept disproven in various fields. In signal processing, the Strong Simplex Conjecture was disproven, showing that the regular simplex signal set is not always optimal at all signal-to-noise ratios . In mixture experiments, a conjecture regarding the pseudo component transformation of lattice points in a simplex was initially proposed but later refined and proven to be false in general . Additionally, in function minimization methods like the Nelder-Mead simplex algorithm, false minima convergence issues have been identified, leading to the development of clamping-simplex methods to address this problem . These instances highlight the importance of critically evaluating and refining conjectures and assumptions in various scientific domains.

Answers from top 5 papers

PDF

Open Access

More filters

Papers (5)	Insight
Open access•Dissertation Clamping-simplex methods : improved direct search simplex algorithms Raymond W. L. Szeto 01 Jan 2000	A false simplex refers to erroneous minima that the Nelder and Mead simplex method can converge on, as highlighted in the paper on clamping-simplex methods for function minimization.
Journal Article•DOI The strong simplex conjecture is false M. Steiner 01 May 1994-IEEE Transactions on Information Theory 33 Citations	A false simplex refers to the disproven strong simplex conjecture, which claimed regular simplex signal sets as optimal, but a different set performs better at low signal-to-noise ratios.
Open access•Posted Content Some Comments on the Strong Simplex Conjecture Dejan E. Lazich, Christian Senger, Martin Bossert - Show less +2 more 06 Feb 2012-arXiv: Information Theory	A false simplex refers to a signal set that outperforms the regular simplex signal set at low signal-to-noise ratios without contradicting the Channel Coding Theorem, disproving the Strong Simplex Conjecture.
Open access•Journal Article•DOI A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex Bara Kim, Jeongsim Kim - Show less +1 more 28 Aug 2020-Symmetry 1 Citations	Not addressed in the paper.
Open access•Posted Content Empty simplices of large width. Joseph Doolittle, Lukas Katthän, Benjamin Nill, Francisco Santos - Show less +3 more 27 Mar 2021-arXiv: Combinatorics	Not addressed in the paper.

My columns

Related Questions

What is pandanus simplex?5 answers**Pandanus simplex** is an endemic tropical plant known for hosting the fungal endophyte *Annulohypoxylon stygium*, which has shown promising potential as a source of α-glucosidase inhibitors for diabetes management. The plant itself is described as a palm-like tree or shrub with various medicinal properties according to different traditional medicinal systems, such as Unani and Ayurveda, where different parts of the plant are utilized for anthelmintic, tonic, digestive, and stress-related disorders. Additionally, the plant is found in diverse geographical locations, ranging from arctic regions to tropical areas, showcasing a wide adaptability to different climates. The Pandanus genus, to which *Pandanus simplex* belongs, is rich in phytochemicals and has demonstrated various pharmacological activities, including anti-diabetic, anti-microbial, anti-viral, and neuroprotective properties. This highlights the significance of *Pandanus simplex* in both traditional medicine and potential drug discovery endeavors.

What are the clinical features of lentigo simplex?5 answersLentigo simplex is a clinical entity characterized by dark brown macules on covered parts of the body. It is distinct from freckles and can be differentiated microscopically using staining methods for pigment activity. Histologic changes in lentigo simplex can be misinterpreted without the use of staining methods, leading to confusion in diagnosis and classification. Ink spot lentigo, also known as reticulated black solar lentigo, is a type of solar lentigo that appears as a darkly pigmented macula on sun-exposed areas of the body. It is reported as a unique lesion, but usually appears among several common solar lentigines. Generalized eruptive lentiginosis is a rare condition characterized by the widespread occurrence of multiple lentigines in a short span of time, without systemic abnormalities. The pathogenesis of this condition may involve diminished immune surveillance in the skin, genetic predisposition, or exposure to infectious agents or chemical materials.

What is the spical cases of simplex method in linear programming?3 answersThe simplex method in linear programming has several special cases. One special case is the Klee-Minty hypercube problem, which involves finding a non-negative solution to a system of inequalities. Another special case is Dantzig's pivot rule, which is a natural pivot rule used in the simplex method. It has been shown that this pivot rule can take exponential time in the worst case. Additionally, the simplex method has been studied extensively, including its tableau and revised simplex algorithm, as well as issues such as starting-up, degeneracy, cycling, and finite pivot rule. These special cases and variations of the simplex method have been the focus of research in the field of linear programming for many years.

What are the latest findings in the field of herpesvirus simplex 1 research?5 answersHerpes simplex virus 1 (HSV-1) research has revealed several important findings. One study investigated the role of herpesvirus entry mediator (HVEM) and its binding partners in mediating the T cell response during ocular HSV-1 infection. Another study focused on the role of RUNX transcription factors in suppressing viral gene expression and promoting latency in dorsal root ganglion neurons. Additionally, the contribution of nectin-1 and HVEM as receptors for HSV-1 entry in skin cells was explored, with nectin-1 identified as the primary receptor in epidermis. Another study characterized the complex of assembly proteins pUL7 and pUL51 from HSV-1, providing insights into their role in herpesvirus assembly. Lastly, a comprehensive analysis of HSV-1 genomes from different geographic regions revealed genetic diversity and potential routes of adaptation to changing environments. These findings contribute to our understanding of HSV-1 pathogenesis, immune response, and viral diversity.

What is a false positive?5 answersA false positive refers to a result that is incorrectly identified as positive when it is actually negative. In the context of scientific research, a false positive occurs when a significant finding is observed even though the underlying effect size is zero. In the field of medical diagnosis, false positives can occur when a test incorrectly identifies a person as having a particular condition when they do not actually have it. In the context of decoding a set of bits, a false positive signal is generated when the combining gain is less than a threshold, indicating that the bits have been incorrectly decoded. In the field of transaction data analysis, a false positive refers to a statistical outlier that is determined to be a normal transaction after querying a database. In the context of diagnosing functional neurological disorders, certain clinical signs can lead to false positives if they are not interpreted in the context of the overall clinical picture.

What is Pityriasis Simplex?5 answersPityriasis simplex is not mentioned in any of the provided abstracts.

See what other people are reading

How to solution the impact of slow internet connectivity to the senior highschool css student?

To address the impact of slow internet connectivity on Senior High School students, various solutions can be considered based on the insights from the provided contexts. Firstly, enhancing internet infrastructure within schools is crucial to improve access and academic performance. Additionally, providing immediate guidance and support to students facing connectivity challenges can help mitigate the negative effects of slow internet. Moreover, combining traditional learning methods with online resources like Online Problem-Solving Searching Software (OPSSS) can aid students in effectively utilizing the internet for academic purposes. Implementing a computer internet access time limiter can also ensure responsible and efficient internet usage among students. By integrating these strategies, schools can better support Senior High School students in overcoming the obstacles posed by slow internet connectivity.What is the universal HRm?

A universal HRM (Human Resource Management) system is a versatile tool that can be applied across various computing environments to analyze resources and recommend actions. This system utilizes a universal snapshot of different computing environments, created by collecting state information, to provide resource management insights and suggestions for improvement. Additionally, the concept of Universal Design (UD) principles can be extended to management practices, encouraging leaders to incorporate UD concepts into decision-making processes and actions within organizations. Furthermore, specific inventions like a universal rolling mill, a universal tread mill, and a universal testing machine demonstrate practical applications of universal design principles in various industries, emphasizing efficiency, precision, and flexibility in their respective functionalities.How practical teaching can be overwelhming?

Practical teaching can become overwhelming due to various factors such as resource constraints, lack of practical teaching knowledge, negative teacher attitudes, and a curriculum that prioritizes theory over practical application. Additionally, the complexity of setting up and ensuring the correctness of practical training devices can add to the overwhelming nature of practical teaching. Moreover, the need for organizing tools, maintaining cleanliness, and ensuring the availability of resources in practical training devices can contribute to the overwhelming aspect of practical teaching. Furthermore, in real production scenarios, the establishment and modification of resources for course experiments and practices, along with the need for feedback and inspection of student reports, can also be overwhelming aspects of practical teaching.What is flat beater?

A flat beater is a component used in various machines for different purposes. In the context of a disintegrator, a flat beater is a rectangular flat plate with a hammerhead at one end, designed to improve work efficiency by reducing the incident angle of the sieving sheet and enhancing the powder output rate. In the context of a flat-grinding machine, a flat beater is part of a device that includes a supporting base, driving wheels, and a flat-grinding cylinder, aimed at achieving rotation stability and a good buffering effect during contact machining. Additionally, a flat beater can be part of a flat grinding device used in solar crystalline silicon processing equipment, where it contributes to increasing the processing range and saving equipment investment by transforming an external grinder.How effective are current interventions aimed at improving access to stretchers during emergency care?

Current interventions aimed at improving access to stretchers during emergency care have shown promising results. Studies have highlighted various approaches, such as electronic tracking boards encouraging optimal patient location selection, electric stretchers with stability-enhancing features and automatic operation, and innovative stretcher designs for convenient installation and patient movement. These interventions have demonstrated benefits like reduced total stretcher time, enhanced stability during patient transfer, and increased efficiency in emergency treatment processes. The findings suggest that a combination of technological advancements and ergonomic designs in stretcher systems can significantly impact patient outcomes by streamlining access to stretchers and improving overall care delivery in emergency settings.How to do an electrocardiogram in a shaking patient?

To perform an electrocardiogram (ECG) on a shaking patient, a method involving the recovery of the ECG signal near the cardiac region is essential. Shaking or tremors can introduce artifacts in the ECG, potentially mimicking cardiac arrhythmias like ventricular tachycardia. These artifacts can distort the ECG components, affecting the baseline and waves. It is crucial to differentiate between true cardiac abnormalities and artifacts caused by patient movement, such as tremors due to various conditions like Parkinson's disease, anxiety, or drug effects. Careful evaluation is necessary to avoid misinterpretation and unnecessary treatments, ensuring accurate diagnosis and appropriate management for patients presenting with shaking during ECG acquisition.How to make pavegen tiles ?

To manufacture Pavegen tiles, a method involving various steps is employed. This includes preparing a mixed powder with specific components like calcium hydroxide powder, porous aggregate, and photocatalysts, filling this powder into molds, pressurizing to form bodies, curing in a carbon dioxide atmosphere, and applying a second photocatalyst layer. Another approach involves using geotextile fabric coated with asphalt adhesive and asphalt aggregate mix, which is compacted to the desired thickness for the tile's structure. Additionally, a method for transferring granular material onto a surface to form the tile's main part is detailed, involving compacting and transferring the material using vacuum means. Furthermore, the process may include grinding fired slabs to align and divide them into smaller slabs with controlled width. Lastly, waste material can be ground, mixed with a binder containing magnesium oxide and various agents, and molded to produce the tiles.What is the typical pipeline for a star centroiding algorithm?

The typical pipeline for a star centroiding algorithm involves several key stages. First, star detection and noise filtering are performed using methods like fast Gaussian fitting and connected component labeling. Next, the algorithm proceeds with star pixel selection, noise interference suppression, and fine centroid calculation to enhance accuracy and efficiency. Following this, threshold segmentation and centroid determination are carried out based on pixel gray levels and template matching. Finally, the algorithm refines the star centroid location and outputs the centroid features and coordinates. By incorporating these stages, the algorithm achieves high accuracy, noise resistance, and computational efficiency, making it suitable for real-time applications in star tracking systems.How R0 and Rt are estimate from SIR and SEIR epidemic model?

The basic reproduction number, \(R_0\), and the effective reproduction number, \(R_t\), are critical metrics in understanding the dynamics of infectious diseases through SIR (Susceptible, Infectious, Recovered) and SEIR (Susceptible, Exposed, Infectious, Recovered) models. \(R_0\) represents the average number of secondary infections produced by a single infection in a completely susceptible population, while \(R_t\) reflects the number of secondary infections at time \(t\) in a population that may no longer be fully susceptible due to immunity or behavioral changes. In the context of SIR and SEIR models, \(R_0\) is estimated by analyzing the disease transmission dynamics, incorporating factors such as contact rates, transmission probabilities, and the duration of infectiousness. For instance, structured epidemic models, which can be formulated as first-order hyperbolic partial differential equations (PDEs), use numerical techniques to approximate \(R_0\) by defining it as the dominant eigenvalue of a next-generation operator, demonstrating the importance of individual traits or structures in disease transmission. Similarly, the SEIR model's qualitative analysis involves determining \(R_0\) to assess the existence and stability of disease-free and endemic equilibria. The estimation of \(R_t\), on the other hand, requires dynamic analysis as it changes over time with the level of immunity in the population and the implementation of control measures such as vaccination. Models incorporating vaccinations show that vaccinated individuals decrease the maximum possible overshoot, indirectly affecting \(R_t\) by reducing transmission. Moreover, the introduction of environmental white noise in epidemic models indicates that \(R_t\) can fluctuate due to stochastic effects, with high noise levels potentially leading to disease extinction when \(R_t < 1\). Advanced models also consider sociological behaviors and heterogeneity in contact structures, which can significantly influence \(R_0\) and \(R_t\) estimates. Differences in sociological behaviors affect infection rates among susceptible populations, necessitating adjustments in \(R_0\) calculations. Contact heterogeneity, analyzed through network models, shows that increased heterogeneity can lower \(R_0\) and weaken the dependency of overshoot on transmission, thereby influencing \(R_t\). Furthermore, the accuracy of \(R_0\) and \(R_t\) estimates can be enhanced by incorporating more detailed demographic and immunity structures into the models, as well as by employing numerical methods like the non-standard finite difference (NSFD) technique for better approximation of epidemic dynamics. The inclusion of more compartments, such as asymptomatic and pre-symptomatic stages in the SEAPMDR model, provides a more accurate estimation of \(R_0\) by considering the transmission potential of these stages. Lastly, the pseudomeasurement approach offers a method for estimating unknown parameters in SIR-based models, which is crucial for accurate \(R_0\) and \(R_t\) estimation. This comprehensive approach to modeling and parameter estimation underscores the complexity of accurately assessing \(R_0\) and \(R_t\) in the context of infectious disease outbreaks.Why automated stripping machine is important?

Automated stripping machines are crucial due to their efficiency and precision in various industries. These machines, as described in the provided contexts, offer benefits such as automatic stripping, preventing material adhesion, enhancing stripping quality, and improving overall production efficiency. They streamline processes by enabling simultaneous handling of multiple wires or materials, ensuring accurate and consistent results while reducing labor intensity and saving time. Additionally, automated stripping machines prevent damage to materials, enhance the quality of finished products, and significantly boost operational productivity, making them indispensable tools in modern manufacturing and processing environments.4 inch G clamp dimensions sheets and solidworks analysis?

The dimensions of a 4-inch G clamp sheets can be analyzed using Solidworks for a comprehensive understanding of its design and performance. Solidworks Flow Simulation, a computational fluid dynamics tool, can be utilized to analyze the heat transfer and pressure drop in the G clamp design, especially focusing on V-rib configurations with holes for enhanced cooling efficiency. Additionally, Finite Element Method (FEM) analysis can be employed to study the behavior of the tool system under specific loads, ensuring precision and quality in manufacturing processes like reaming for hole finishing. By integrating simulation programs like SolidWorks with Excel spreadsheets using Visual Basic scripts, a robust evaluation method can be developed for residual stress measurement using the Ring-Core method.