№ files_lp_3_process_9_31730
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Academic exposition presenting the Lennard-Jones potential as a semi-empirical model and deriving the corresponding equations of motion for interacting particles using Lagrangian and Hamiltonian mechanics.
Year:
1924 (historical reference)
Subject:
Computational chemistry, physics, mathematics
Topic:
Lennard-Jones potential and particle dynamics
Type of document:
Academic lecture notes
Scientific model:
Lennard-Jones potential
Key figure:
John Lennard-Jones
Referenced source:
Wikipedia (2015)
Additional reference:
Grant R. Fowles and George L. Cassiday (2005)
Mathematical framework:
Lagrangian and Hamiltonian mechanics
Core equation:
V(r) = ε[(rm/r)^12 − 2(rm/r)^6]
Parameters:
ε (depth of potential well), rm (equilibrium distance), r (distance between particles)
Derived results:
Hamiltonian formulation and system of first-order ordinary differential equations
Simplified constants:
m = 1, ε = 2, rm = 1
Price: 8 / 10 USD
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The product description is provided for reference. Actual content and formatting may differ slightly.
Year:
2024-25
Region / city:
Victoria
Theme:
Alcohol and Other Drug (AOD) Treatment
Document Type:
Guidelines
Organization / Institution:
Victorian Government Department of Health
Author:
Not specified
Target audience:
AOD service providers and funding bodies
Period of validity:
2024-25
Approval date:
Not specified
Date of changes:
1 July 2024
Year:
Not specified
Region / City:
Not specified
Topic:
COPD, Medical Research Council score, Fibrinogen levels, Six-minute walking test, Medication costs, Probabilistic analysis
Document Type:
Scientific Analysis
Organization / Institution:
Not specified
Author:
Not specified
Target Audience:
Researchers, Healthcare professionals, Clinicians
Period of Action:
Not specified
Approval Date:
Not specified
Date of Changes:
Not specified
Document type:
Supplementary material
Subject:
Cerebellar cortex anatomy and quantitative modelling
Focus:
Mossy fibre innervation of fields and ranks
Methods:
Probabilistic derivation and convergent anatomical estimates
Key variables:
Mossy fibre clusters, terminals per cluster, granule cells per field
Estimated terminals per field:
700
Estimated mossy fibres per field:
182.25
Estimated mossy fibres per rank:
~3,645
Assumptions:
Equal probability of cluster sizes; defined boundary-straddling probabilities; average of five clusters per mossy fibre per rank
Tables:
Table 1 (expected ratios), Table 2 (expected number of mossy fibres per cluster size), Table 3 (distribution of mossy fibres contributing 1–7 terminals)
Year:
Not specified
Region / City:
Not specified
Theme:
Kidney disease, data analysis
Document Type:
Supplementary Figure
Institution:
First Affiliated Hospital of Sun Yat-sen University
Author:
Not specified
Target Audience:
Researchers, medical professionals
Period of Validity:
Not specified
Approval Date:
Not specified
Date of Changes:
Not specified
Year:
2007
Author:
Neil E. Cotter
Source type:
Academic reference / Lecture notes
Subject:
Probability, Statistics
Referenced works:
The Multivariate Normal Distribution, Probability and Statistics for Engineers and Scientists (8th Ed.), MathWorld entries on Hypersphere and Gamma Function
Target audience:
Students and researchers in statistics and engineering
Key concepts:
Sample variance, cumulative distribution function, multidimensional integration, chi-squared distribution
Year:
2025
Region / City:
N/A
Topic:
Energy Market Settlements
Document Type:
Technical Report
Organization:
IESO (Independent Electricity System Operator)
Author:
N/A
Target Audience:
Market Participants, Stakeholders in Energy Sector
Effective Period:
N/A
Approval Date:
N/A
Revision Date:
N/A
Context:
Technical documentation detailing charge types and equations used in the IESO settlements process for market participants.
Year:
Not specified
Region / City:
Not specified
Subject:
Mathematical notation, LaTeX formatting
Document Type:
Reference document
Organization / Institution:
Not specified
Author:
Murray Sargent
Target Audience:
Those working with LaTeX or mathematical equations
Period of validity:
Not specified
Approval date:
Not specified
Date of changes:
Not specified
Contextual description:
A reference guide for LaTeX commands related to mathematical notation, symbols, and equation formatting.
Year:
2022
Region:
New South Wales, Australia
Subject:
Mathematics
Topic:
Quadratic equations
Curriculum:
Mathematics K–10 Syllabus
Syllabus outcomes:
MAO-WM-01; MA5-EQU-P-01; MA5-EQU-P-02; MA5-NLI-P-01
Education level:
Secondary education
Type of document:
Lesson plan
Teaching strategies:
Think-Pair-Share; Variation Theory; Pose-Pause-Pounce-Bounce; visibly random grouping
Learning focus:
Solving quadratic equations; factorisation; x-intercepts of parabolas
Associated materials:
PowerPoint presentation; Appendix A; Appendix B
Authoring body:
NSW Education Standards Authority (NESA)
Copyright holder:
State of New South Wales
Year:
2026
Type of Document:
Template / Submission Guidelines
Organization:
Association for Computing Machinery (ACM)
Audience:
Authors submitting papers to ACM conferences or journals
Document Format:
MS Word, single-column
Sections Covered:
Abstract, CCS Concepts, Keywords, Figures, Tables, Math Equations
Instructions Included:
Style application, alt-text insertion, multi-part figures, submission process
Year:
2022
Region / City:
New South Wales
Topic:
Mathematics, Equations
Document Type:
Lesson Plan
Author:
NSW Education Standards Authority (NESA)
Target Audience:
Teachers, Students
Period of Use:
2022
Approval Date:
2022
Date of Changes:
Not specified
Contextual Description:
This lesson plan details methods for teaching students how to solve linear equations with up to two steps using backtracking diagrams and various solving strategies.
Year:
2023
Region / City:
Ireland
Subject:
Applied Mathematics
Document Type:
Educational Booklet
Institution:
thephysicsteacher.ie
Author:
Noel Cunningham
Target Audience:
Students preparing for higher level and ordinary level applied mathematics exams
Period of Effect:
1971–2023
Approval Date:
04/11/2023
Date of Last Update:
04/11/2023
Year:
2017
Region / City:
Punjab, Bathinda
Field:
Research
Document Type:
Application Form
Institution:
Central University of Punjab
Author:
Central University of Punjab
Target Audience:
Prospective applicants for Junior Research Fellow position
Period of Validity:
Until position is filled
Approval Date:
Not specified
Modification Date:
Not specified
Year:
Not specified
Region / City:
Not specified
Topic:
COPD, Medical Research Council score, Fibrinogen levels, Six-minute walking test, Medication costs, Probabilistic analysis
Document Type:
Scientific Analysis
Organization / Institution:
Not specified
Author:
Not specified
Target Audience:
Researchers, Healthcare professionals, Clinicians
Period of Action:
Not specified
Approval Date:
Not specified
Date of Changes:
Not specified
Course Code:
MATH 120
Course Title:
Linear Algebra with Differential Equations
Academic Term:
Spring 2014–2015
Credit Hours:
3
Lecture Duration:
2 lectures per week, 75 minutes each
Instructor:
Adnan Khan; Sultan Sial
Room Number:
249 SSE
Email:
[email protected]
Telephone:
8015
Secretary/TA:
Shazia Tabassum
Course URL:
http://suraj.lums.edu.pk/~adnan.khan/classes/classes/LinearAlgebra/
Prerequisites:
Math in A Levels, FSc or Equivalent
Assessment Breakdown:
Assignments 9%; Homework 16%; Midterm Examination 35%; Final Examination 40%
Textbooks:
Elementary Linear Algebra (Howard Anton, 9th edition, 2005); Differential Equations with Boundary Value Problems (Dennis Zill and Michael Cullin, 5th edition); A First Course in Linear Algebra (R.A. Beezer, 2010); Linear Algebra and Its Applications (Gilbert Strang, 4th edition)
Software:
MATLAB; WolframAlpha
Topics Covered:
Systems of Linear Equations; Matrices; Determinants; Vector Spaces; Linear Transformations; Inner Products; Eigenvalues and Eigenvectors; Differential Equations
Note:
Year
Topic:
Differential Equations, Linear Algebra, Partial Differential Equations
Document Type:
Syllabus
Institution:
Florida Atlantic University
Author:
Dr. Terje Hoim
Target Audience:
Students enrolled in the course
Period of Effect:
Fall 2023
Prerequisite:
MAP 2302
Tests (60%):
4 in-class exams, each covering a chapter
Quizzes (10%):
Regular in-class quizzes
Homework (5%):
Assigned homework problems
Final Exam (25%):
Comprehensive
Grading Scale:
A (93.5-100), A- (89.5-93.49), B+ (86.5-89.49), etc.
Make-Up Policy:
One day per missed class to make up work
Workload:
6-9 hours per week outside of class
Classroom Etiquette:
No personal communication devices allowed
Accommodations:
Register with Office for Students with Disabilities for accommodations
Academic Integrity:
Strict adherence to ethical standards required
Note of Honors Distinction:
Enhanced writing component, exposure to theoretical vocabulary, interdisciplinary learning
Subject:
Mathematics
Topic:
Simultaneous linear equations
Focus:
Graphical method and point of intersection
Curriculum:
Mathematics K–10 Syllabus
Authority:
NSW Education Standards Authority (NESA)
Jurisdiction:
New South Wales
Year:
2022
Intended audience:
Students
Learning intentions:
Graphically find the point of intersection of simultaneous linear equations
Success criteria:
Read and write coordinates on the Cartesian plane; interpret gradient, intercepts and intersection
Activities included:
Think-Pair-Share; Desmos classroom tasks; Polygraph: Linear systems; worksheet tasks
Assessment type:
Formative and summative assessment opportunities
Digital tools:
Desmos classroom activities
Appendices:
Appendix A – The Tortoise and the Hare; Appendix B – Putting it all together
Related codes:
MAO-WM-01; MA5-EQU-P-02; MA5-LIN-C-01; MA5-LIN-C-02
Note:
Year
Subject:
Mathematics
Type of Document:
Educational material
Target Audience:
Students
Year:
2023
Region / City:
N/A
Topic:
Mathematics
Document Type:
Educational Material
Institution:
Open Up Resources
Author:
N/A
Target Audience:
Students
Period of Validity:
N/A
Approval Date:
N/A
Modification Date:
N/A
Year:
10.3.16
Topic:
Mathematics
Type of document:
Exercise sheet
Institution:
Not specified
Author:
Not specified
Target audience:
Students studying algebra
Period of validity:
Not specified
Date of approval:
Not specified
Date of changes:
Not specified
Year:
2018
Region / City:
Canada
Topic:
Structural Engineering, Bridge Design
Document Type:
Research Paper
Organization / Institution:
Ryerson University
Author:
Diab, Ahmed; Sennah, Khaled
Target Audience:
Civil Engineers, Structural Designers
Period of Validity:
N/A
Approval Date:
N/A
Modification Date:
N/A