Eigen functions applications
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An Introductory review for use of Eigenvalues in Quantum Mechanics An operator acting on a function, changes functions into another function. Occasionally there are instances where, the received function is directly proportional to the function used. 퐴(휓) ∝ 휓 In this type of a situation, a constant, 푎 can be defined, as the Eigenvalue of the function. The operator, 퐴 is hence known as an Eigen operator. 퐴(휓) = 푎휓 The 푎 eigenvalues represents the possible measured values of the 퐴 operator. Classically, 푎 would be allowed to vary continuously, but in quantum mechanics, 푎 typically has only a sub-set of allowed values. Both time-dependent and time-independent Schrödinger equations are the `best-known instances of an eigenvalue equations in quantum mechanics, with its eigenvalues corresponding to the allowed energy levels of the quantum system. (“3.3: The Schrödinger Equation is an Eigenvalue Problem - Chemistry LibreTexts,” n.d.) Some Eigen operators used in quantum mechanics and what their eigen constants represent are given below. (“Operators in Quantum Mechanics,” n.d.)The left side of the above table denotes the physical meaning of Eigen value obtained when relevant operator on the right side is applied on the wave equation giving the position of the a quantum particle. A famous example denoting the Energy of a particle when Hamiltonian operator is applied on the wave function, is given below. (“The Hamiltonian Operator | My Blog,” n.d.
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The document discusses various molecular modeling and computational chemistry techniques used to simulate molecular systems, including molecular dynamics, molecular mechanics, quantum mechanics methods, and molecular docking. It provides an overview of the different modeling strategies and computational tools used, such as determining receptor geometry from X-ray crystallography, energy minimization techniques, force field parameters, and quantum mechanical calculations. The goal of molecular modeling is to develop accurate models of molecular systems to predict properties and behavior without experimental testing.
Energy of Corpuscular-Wave Mechanism_Crimson Publishers
This document discusses the energy characteristics of interactions between particles and systems. It introduces the concept of a spatial-energy parameter (P-parameter) to describe interactions. The key points are:
1) Interactions along a potential gradient (positive work) calculate the resulting potential energy by adding reciprocals of subsystem energies. Interactions against the gradient (negative work) add subsystem masses and energies algebraically.
2) P-parameter is proposed to quantify the energy of atom valence orbitals based on electron orbital energies and radii. For similar systems, P-parameters are added algebraically.
3) P-parameter is analogous to the quantum mechanical wave function and has wave properties. It provides a way to materialize
Computational methodologies
Computational chemistry uses mathematical and computing methods to simulate chemical processes. It can predict molecular properties, structures, interactions and reaction pathways without expensive experiments. The main computational methods are ab initio, semi-empirical, density functional theory, molecular mechanics and molecular dynamics. Geometry optimization finds the lowest energy conformation of a molecule using algorithms to minimize the potential energy surface. It is important for understanding how structure influences properties and reactivity.
Theory of Time 2023
This document presents a theory of time proposed by Ramkumar K that was developed over 22 years of research. The theory aims to systematically relate principles of electromagnetism, mechanics, atoms, and the universal transformation system. It uses principles like Newton's laws, Ohm's law, and the law of conservation of energy to analyze energy and power transformations over time. The theory finds that existing interpretations contain some imbalances when relating series and parallel circuit properties. It develops new analyses of gyroscopic effects, black holes, and the universal transformation system to provide a single, unified theory of time and transformation systems across all domains.
A new lemma of the Optical Equivalence Theorem: applications in Theoretical C...
A new lemma of the Optical Equivalence Theorem: applications in Theoretical C...Orchidea Maria Lecian
Talk delivered at 3rd Edition of Chemistry World Conference-
Chemistry2023.
14-15 June 2023.
Author: Orchidea Maria Lecian.
Speaker Orchidea Maria Lecian.
Title: A new lemma of the Optical Equivalence Theorem:
applications in Theoretical Chemistry and
new challenges.
Abstract: The Optical Equivalence Theorem demonstrates the equivalence between
the expectation value of an operator in the opportune Hilbert space and
the expectation value of the pertinent functional representation in the
phase space formulation with respect to a suitable distribution; for the
purposes of this demonstration, a phase space representation is chosen,
which does not involve the Number operator. The Optical Equivalence
Principle allows one to construct a sequence of the density operator.
A new lemma of the Optical Equivalence Theorem is demonstrated,
after which there is associated with the quasi-probability distribution and
improved functional representation as far as the allowed expansion order
is concerned; the construction is apt to codify almost-infinite-momentum
states. A compact-support control weighting function is introduced, to
display the action of operators of high-intensity fields, whose states are
determined.
Applications in Theoretical Chemistry are provided with. Applications are
explained within molecular dynamics trajectories: the atomic
coordinates at specific times are framed in the phase space, where the
new improved representation of the quasi-probability distribution is used
to improve the long-time-limit error calculation in the quantum
fluctuations, quantum jumps (also in lasing), comparison of chemical
shift with MNR spectroscopy for control of composition; Markovv
modelisation: the long-timescale dynamics of molecular systems is
analysed as consisting of probabilistic jumps between est of states, which
are now newly issued as those which are the pertinent states of the new
improved functional representation: quantum fluctuation, transition to
lasing, carrier energy states, comparison with Monte-Carlo simulation;
molecular chemistry: protein stability and folding kinetics, coordinate
shift with determination of transition states, transmission probability,
definition of entropic reaction coordinates; laser molecule activation;
transition-state spectroscopy: potential energy surfaces are newly
established within the new representation of the phase space; molecular
activation: the process of the molecular activation is framed within the
new representation of the states within the new representation of the
phase space obtained after the new improved representation of the
probability-distribution sequence. New challenges are envisagedFundamental Concepts on Electromagnetic Theory
The document summarizes key concepts from a presentation on electromagnetic theory. It discusses different types of fields, including scalar and vector fields. It also covers gradient, divergence, curl, coordinate systems, static electric and magnetic fields, Maxwell's equations, and other fundamental electromagnetic concepts. Multiple students contributed sections on topics including Coulomb's law, Biot-Savart law, Lorentz force, and Maxwell's equations in differential, integral and harmonic forms.
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Optical pyrometer
An optical pyrometer is a type of radiation thermometer used to measure high temperatures over 6000C by detecting the infrared radiation emitted by the object. It consists of an electrical system and optical system to detect infrared radiation and convert it to a temperature reading. However, optical pyrometers have some drawbacks, including high inherent measurement inaccuracies of around 50C, potential errors of 100C due to the operator, and an inability to integrate into automatic temperature control systems due to reading variations from fumes. There are different types of optical pyrometers.
Anime
1) Osamu Tezuka is known as the "Godfather of Anime" for pioneering Japanese animation and manga.
2) In the 1940s and 50s, he produced early successful manga and anime works like "Shin Takarajima", "Kimba the White Lion", and the iconic "Astro Boy".
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Freezing Food as a preservative technique
Freezing is a preservation technique that prevents significant nutrient loss and slows down chemical and metabolic reactions by lowering the temperature of fruits, typically to -20°C. While it retains quality better than canning or dehydration, freezing does not sterilize and ice crystal formation can damage cell structure. Factors like freezing method/rate, storage temperature and conditions impact quality retention. Advantages include maintaining nutrients, allowing convenience meals, and using less energy than canning. Disadvantages include texture changes from ice crystals and decomposition if temperatures fluctuate during storage. Common fruits that can be frozen include apples, strawberries, and watermelon, typically using syrup or sugar packing methods.
Microorganisms used in biofertilizers
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Although Artemia has been known to man for centuries, its use as a food for the culture of larval organisms apparently began only in the 1930s, when several investigators found that it made an excellent food for newly hatched fish larvae (Litvinenko et al., 2023). As aquaculture developed in the 1960s and ‘70s, the use of Artemia also became more widespread, due both to its convenience and to its nutritional value for larval organisms (Arenas-Pardo et al., 2024). The fact that Artemia dormant cysts can be stored for long periods in cans, and then used as an off-the-shelf food requiring only 24 h of incubation makes them the most convenient, least labor-intensive, live food available for aquaculture (Sorgeloos & Roubach, 2021). The nutritional value of Artemia, especially for marine organisms, is not constant, but varies both geographically and temporally. During the last decade, however, both the causes of Artemia nutritional variability and methods to improve poorquality Artemia have been identified (Loufi et al., 2024).
Brine shrimp (Artemia spp.) are used in marine aquaculture worldwide. Annually, more than 2,000 metric tons of dry cysts are used for cultivation of fish, crustacean, and shellfish larva. Brine shrimp are important to aquaculture because newly hatched brine shrimp nauplii (larvae) provide a food source for many fish fry (Mozanzadeh et al., 2021). Culture and harvesting of brine shrimp eggs represents another aspect of the aquaculture industry. Nauplii and metanauplii of Artemia, commonly known as brine shrimp, play a crucial role in aquaculture due to their nutritional value and suitability as live feed for many aquatic species, particularly in larval stages (Sorgeloos & Roubach, 2021).
The debris of the ‘last major merger’ is dynamically young
The Milky Way’s (MW) inner stellar halo contains an [Fe/H]-rich component with highly eccentric orbits, often referred to as the
‘last major merger.’ Hypotheses for the origin of this component include Gaia-Sausage/Enceladus (GSE), where the progenitor
collided with the MW proto-disc 8–11 Gyr ago, and the Virgo Radial Merger (VRM), where the progenitor collided with the
MW disc within the last 3 Gyr. These two scenarios make different predictions about observable structure in local phase space,
because the morphology of debris depends on how long it has had to phase mix. The recently identified phase-space folds in Gaia
DR3 have positive caustic velocities, making them fundamentally different than the phase-mixed chevrons found in simulations
at late times. Roughly 20 per cent of the stars in the prograde local stellar halo are associated with the observed caustics. Based
on a simple phase-mixing model, the observed number of caustics are consistent with a merger that occurred 1–2 Gyr ago.
We also compare the observed phase-space distribution to FIRE-2 Latte simulations of GSE-like mergers, using a quantitative
measurement of phase mixing (2D causticality). The observed local phase-space distribution best matches the simulated data
1–2 Gyr after collision, and certainly not later than 3 Gyr. This is further evidence that the progenitor of the ‘last major merger’
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the last few Gyr, consistent with the body of work surrounding the VRM.
Travis Hills' Endeavors in Minnesota: Fostering Environmental and Economic Pr...
Travis Hills of Minnesota developed a method to convert waste into high-value dry fertilizer, significantly enriching soil quality. By providing farmers with a valuable resource derived from waste, Travis Hills helps enhance farm profitability while promoting environmental stewardship. Travis Hills' sustainable practices lead to cost savings and increased revenue for farmers by improving resource efficiency and reducing waste.
THEMATIC APPERCEPTION TEST(TAT) cognitive abilities, creativity, and critic...
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hematic appreciation test is a psychological assessment tool used to measure an individual's appreciation and understanding of specific themes or topics. This test helps to evaluate an individual's ability to connect different ideas and concepts within a given theme, as well as their overall comprehension and interpretation skills. The results of the test can provide valuable insights into an individual's cognitive abilities, creativity, and critical thinking skillsCompexometric titration/Chelatorphy titration/chelating titration
Classification
Metal ion ion indicators
Masking and demasking reagents
Estimation of Magnisium sulphate
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2.Back Titration
3.Replacement Titration
4.Indirect Titration
Masking agent, Demasking agents
formation of complex
comparition between masking and demasking agents,
Indicators/Metal ion indicators/ Metallochromic indicators/pM indicators,
Visual Technique,PM indicators (metallochromic), Indicators of pH, Redox Indicators
Instrumental Techniques-Photometry
Potentiometry
Miscellaneous methods.
Complex titration with EDTA.
Cytokines and their role in immune regulation.pptx
This presentation covers the content and information on "Cytokines " and their role in immune regulation .
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原版纸张【微信：741003700 】【(carleton毕业证书)卡尔顿大学毕业证】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
3D Hybrid PIC simulation of the plasma expansion (ISSS-14)
3D Particle-In-Cell (PIC) algorithm,
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留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Immersive Learning That Works: Research Grounding and Paths Forward
We will metaverse into the essence of immersive learning, into its three dimensions and conceptual models. This approach encompasses elements from teaching methodologies to social involvement, through organizational concerns and technologies. Challenging the perception of learning as knowledge transfer, we introduce a 'Uses, Practices & Strategies' model operationalized by the 'Immersive Learning Brain' and ‘Immersion Cube’ frameworks. This approach offers a comprehensive guide through the intricacies of immersive educational experiences and spotlighting research frontiers, along the immersion dimensions of system, narrative, and agency. Our discourse extends to stakeholders beyond the academic sphere, addressing the interests of technologists, instructional designers, and policymakers. We span various contexts, from formal education to organizational transformation to the new horizon of an AI-pervasive society. This keynote aims to unite the iLRN community in a collaborative journey towards a future where immersive learning research and practice coalesce, paving the way for innovative educational research and practice landscapes.
Describing and Interpreting an Immersive Learning Case with the Immersion Cub...
Current descriptions of immersive learning cases are often difficult or impossible to compare. This is due to a myriad of different options on what details to include, which aspects are relevant, and on the descriptive approaches employed. Also, these aspects often combine very specific details with more general guidelines or indicate intents and rationales without clarifying their implementation. In this paper we provide a method to describe immersive learning cases that is structured to enable comparisons, yet flexible enough to allow researchers and practitioners to decide which aspects to include. This method leverages a taxonomy that classifies educational aspects at three levels (uses, practices, and strategies) and then utilizes two frameworks, the Immersive Learning Brain and the Immersion Cube, to enable a structured description and interpretation of immersive learning cases. The method is then demonstrated on a published immersive learning case on training for wind turbine maintenance using virtual reality. Applying the method results in a structured artifact, the Immersive Learning Case Sheet, that tags the case with its proximal uses, practices, and strategies, and refines the free text case description to ensure that matching details are included. This contribution is thus a case description method in support of future comparative research of immersive learning cases. We then discuss how the resulting description and interpretation can be leveraged to change immersion learning cases, by enriching them (considering low-effort changes or additions) or innovating (exploring more challenging avenues of transformation). The method holds significant promise to support better-grounded research in immersive learning.
Randomised Optimisation Algorithms in DAPHNE
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Aleš Zamuda: Randomised Optimisation Algorithms in DAPHNE .
Austrian-Slovenian HPC Meeting 2024 – ASHPC24, Seeblickhotel Grundlsee in Austria, 10–13 June 2024
https://ashpc.eu/
Bob Reedy - Nitrate in Texas Groundwater.pdf
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Remote Sensing and Computational, Evolutionary, Supercomputing, and Intellige...
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Slides from talk:
Aleš Zamuda: Remote Sensing and Computational, Evolutionary, Supercomputing, and Intelligent Systems.
11th International Conference on Electrical, Electronics and Computer Engineering (IcETRAN), Niš, 3-6 June 2024
Inter-Society Networking Panel GRSS/MTT-S/CIS Panel Session: Promoting Connection and Cooperation
https://www.etran.rs/2024/en/home-english/Equivariant neural networks and representation theory
Or: Beyond linear.
Abstract: Equivariant neural networks are neural networks that incorporate symmetries. The nonlinear activation functions in these networks result in interesting nonlinear equivariant maps between simple representations, and motivate the key player of this talk: piecewise linear representation theory.
Disclaimer: No one is perfect, so please mind that there might be mistakes and typos.
dtubbenhauer@gmail.com
Corrected slides: dtubbenhauer.com/talks.html
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mô tả các thí nghiệm về đánh giá tác động dòng khí hóa sau đốt
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Eigen functions applications
- 1. APPLICATIONS OF EIGEN FUNCTIONS IN QUANTUM MECHANICS B.V.C.M. BENARAGAMA (170070D) Department of Chemical & Process Engineering University of Moratuwa An operator acting on a function, changes functions into another function. Occasionally there are instances where, the received function is directly proportional to the function used. 𝐴(𝜓) ∝ 𝜓 In this type of a situation, a constant, 𝑎 can be defined, as the Eigenvalue of the function. The operator, 𝐴 is hence known as an Eigen operator. 𝐴(𝜓) = 𝑎𝜓 The 𝑎 eigenvalues represents the possible measured values of the 𝐴 operator. Classically, 𝑎 would be allowed to vary continuously, but in quantum mechanics, 𝑎 typically has only a sub-set of allowed values. Both time-dependent and time-independent Schrödinger equations are the `best-known instances of an eigenvalue equations in quantum mechanics, with its eigenvalues corresponding to the allowed energy levels of the quantum system. (“3.3: The Schrödinger Equation is an Eigenvalue Problem - Chemistry LibreTexts,” n.d.) Some Eigen operators used in quantum mechanics and what their eigen constants represent are given below. (“Operators in Quantum Mechanics,” n.d.)
- 2. The left side of the above table denotes the physical meaning of Eigen value obtained when relevant operator on the right side is applied on the wave equation giving the position of the a quantum particle. A famous example denoting the Energy of a particle when Hamiltonian operator is applied on the wave function, is given below. (“The Hamiltonian Operator | My Blog,” n.d.) REFERENCES 3.3: The Schrödinger Equation is an Eigenvalue Problem - Chemistry LibreTexts. (n.d.). Retrieved December 9, 2019, from https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Ma ps/Map%3A_Physical_Chemistry_(McQuarrie_and_Simon)/03%3A_The_Schrödinger_Equa tion_and_a_Particle_in_a_Box/3.03%3A_The_Schrödinger_Equation_is_an_Eigenvalue_Pro blem Operators in Quantum Mechanics. (n.d.). Retrieved December 9, 2019, from http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qmoper.html The Hamiltonian Operator | My Blog. (n.d.). Retrieved December 9, 2019, from http://physciense.blogspot.com/2014/03/the-hamiltonian-operator.html