scispace - formally typeset
Search or ask a question

Answers from top 6 papers

More filters
Papers (6)Insight
are investigated under the matrix expression. These applications demonstrate the usefulness of the new matrix products.
In our results a nilpotent matrix and a symmetric matrix play an important role.
The promising results obtained from three Hollywood movies demonstrate the effectiveness of our proposed approach.
In fact, their more compact representation frequently makes matrix-matrix multiplication more beneficial—leading to substantial improvements by exploiting the combination of operations.
We show that, for suitable choices of the matrix coefficients P and Q, it is possible to characterize by means of φ ( z ) well known matrix functions, namely the matrix square root, the matrix polar factor, the matrix sign and the geometric mean of two matrices.
We translate the matrix concept for designers and managers who are considering a matrix organization and argue that three factors are critical for its success: (1) Strong purpose: Only choose the matrix structure if there are strong reasons for doing so, (2) Alignment among contingencies: A matrix can only be successful if key contingencies are aligned with the matrix’s purpose, and (3) Management of junctions: The success of a matrix depends on how well activities at the junctions of the matrix are managed.

See what other people are reading

What is the definition of topos in the context of care structures in ecogames?
5 answers
In the context of care structures in ecogames, a topos refers to a category with an additional structure that represents elements of logic, allowing for the application of categorical semantics to study the logic encoded by the topos. This concept originates from category theory, a branch of modern mathematics that provides constructs and tools for modeling and analyzing various phenomena. Specifically, a topos in this context serves as a formal methodology for building structures reflecting the logical aspects of RDF data and reasoning about them. By utilizing the elements of logic within a topos, researchers can effectively study relations between pieces of data, which is fundamental in data analysis and integral to the fabric of Resource Description Framework (RDF) systems.
What is problem defining in policy process?
4 answers
Problem defining in the policy process refers to the crucial stage where policymakers determine the nature of the issue at hand, shaping the direction of subsequent actions. This initial step involves identifying the problem, its causes, consequences, and potential solutions, which significantly influence the policy analysis and decision-making process. Different actors may view the problem through various lenses, leading to competing definitions and priorities, ultimately impacting the policy's success. The process of problem definition is essential as it sets the agenda, determines the available options, and influences the selection of policy alternatives. Moreover, problem definitions can be strategically manipulated to advance certain agendas or hide true motives, showcasing the power of framing and representation in policy formulation.
How does the Coulumb matrix is transformed into one vecor descriptor?
5 answers
The transformation of the Coulomb matrix into a single vector descriptor involves various approaches based on different metrics and coding methods. One method involves utilizing a Fisher Vector (FV) descriptor adapted to specific metrics like the log-Euclidean or affine invariant Riemannian metric, resulting in descriptors like the log Euclidean FV (LE FV) and the Riemannian Fisher Vector (RFV). Another approach involves analyzing Coulomb integrals in terms of group theory, where the matrix elements are rewritten in a new basis with simplified group transformation properties. Additionally, techniques like the continuous fast multipole method (CFMM) are employed in quantum chemistry to construct the Coulomb matrix efficiently, although practical evaluations are necessary for accurate results.
What is parity?
4 answers
Parity in knot theory refers to the labeling of crossings in knot diagrams that align with Reidemeister moves. Parity can also be seen as a rule assigning labels to crossings in a way consistent with knot transformations. Parity functors extend this concept by associating each knot diagram with its coefficient group containing crossing parities. This notion is crucial in understanding virtual knots and surfaces, as demonstrated by Turaev's work on based matrices and virtual strings. The universal oriented parity functors further elucidate the role of parities in free knots and knots on fixed surfaces. Overall, parity provides a systematic approach to analyzing and categorizing knot structures in mathematical contexts.
How can TRIZ tools (Contradiction Matrix, Inventive Principles) be applied to solve the problems faced in the healthcare industry?
5 answers
TRIZ tools, such as the Contradiction Matrix and Inventive Principles, can be effectively applied in the healthcare industry to address various challenges. The Contradiction Matrix helps identify technical contradictions and suggests solutions through the application of appropriate TRIZ principles. By prioritizing technical contradictions in complex systems and evaluating their impact on design objectives, TRIZ tools can be utilized to structure and resolve healthcare-related problems effectively. Leveraging the Inventive Principles in conjunction with the Contradiction Matrix allows for a systematic approach to problem-solving, particularly in healthcare settings where rapid problem resolution, repeatability, reliability, and cost-cutting are crucial. Integrating TRIZ methodologies can lead to innovative solutions in healthcare, enhancing processes and outcomes.
What types of tree leaves are most effective in enhancing the properties of polyester?
4 answers
Eucalyptus and pineapple tree leaves have shown significant potential in enhancing the properties of polyester composites. Eucalyptus fibers, especially when surface activated with NaOH and corona discharge, demonstrated superior mechanical properties, including increased impact and tensile strength, and reduced water absorption. On the other hand, pineapple leaf particles, particularly when treated with NaOH, exhibited enhanced tensile strength and impact energy in polyester resin composites, showcasing strong interfacial bonding with the matrix. Additionally, the use of silane-treated pineapple leaf fibers of varying lengths (5-25 mm) in polyester composites resulted in improved properties, with 20 mm fibers showing the best overall performance in terms of flexural, tensile, impact strength, and wear resistance due to enhanced fiber-matrix interfacial bonding.
How should i start writing an abstract?
5 answers
To start writing an abstract, you should focus on summarizing the purpose, methods, results, and conclusions of your research concisely. Begin with an introductory statement explaining the reason for investigating the topic and state the problem or hypothesis being studied. Then, provide a brief overview of the key points and procedures used in the investigation, excluding unnecessary details about materials unless crucial to the study. Next, highlight the key results that directly lead to your conclusions without delving into excessive specifics or including tables/graphs. Conclude by summarizing the implications of your findings and potential extensions of the research. Remember, an abstract should be a standalone, honest, and original representation of your study, placed at the beginning of your manuscript.
What is Internal Factor Evaluation (IFE) Matrix?
5 answers
The Internal Factor Evaluation (IFE) Matrix is a strategic management tool used to assess a company's internal strengths and weaknesses. It involves identifying and evaluating key internal factors that can impact the organization's performance and competitiveness. The IFE Matrix typically includes factors such as human resources, capital, business networks, and market penetration capabilities. By analyzing these internal factors, organizations can determine their position in the market and develop effective strategies to capitalize on strengths and address weaknesses. The IFE Matrix helps in understanding the internal environment of a business, enabling it to make informed decisions and enhance its overall performance.
What are the key themes explored in Saadia Khatri's essay?
5 answers
Saadia Khatri's essay delves into the reinterpretation of historical figures within Jewish and Arab cultures, focusing on Saadia Gaon as a pivotal figure in Abraham Shalom Yahuda's work. The essay highlights the interest in medieval Jewish writers like Saadia Gaon, Moses Ibn Ezra, Yehuda Halevi, and Maimonides as symbols of Arab Jewish and Sephardi heritage. It explores how Yahuda shaped Saadia as a political and intellectual model in comparison to contemporary scholars and al-Nahda circles. The essay contributes to the broader exploration of the Arab Jewish legacy in the medieval Muslim world, emphasizing the significance of historical figures in shaping cultural and intellectual identities within the Jewish and Arab communities.
What are some recent advancements and applications of the force method in the field of structural engineering?
5 answers
Recent advancements in the field of structural engineering have seen the utilization of various force methods for structural analysis. The Force Analogy Method (FAM) has been employed to address physical nonlinearity in reinforced concrete structures, enhancing accuracy and simplifying testing processes. Additionally, the Linear Force Method (FM) has been introduced as a technique for nonlinear analysis, focusing on load discretization and iterative coordinate updates to improve accuracy in geometrically nonlinear structures. Researchers have also explored methods like Singular Value Decomposition (SVD) and block-diagonalization of equilibrium matrices to streamline the calculation of element forces and reduce computational time in force-based structural analysis. These advancements not only enhance the accuracy of structural analysis but also contribute to optimizing computational efficiency in the field of structural engineering.
What is sharon Morris net worth?
5 answers
Sharon Morris' net worth is not explicitly mentioned in the provided contexts. However, the contexts provide insights into various topics such as enemy construction, determinant formulas, controversial facts in a book, a new mobile health application, and cybercrime activities. These contexts do not directly relate to Sharon Morris' net worth. Therefore, based on the information available, there is no specific data on Sharon Morris' net worth in the provided contexts.