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ForsChem Research Reports (Open Access)
ForsChem Research Reports (Open Access)
Browse by Volume (Year)
Browse by Volume (Year)
Volume 10 (2025)
Volume 10 (2025)
FRR 2025-06 The Symmetrical Fitting Method for Model Identification
FRR 2025-05 Optimal Model Structure Identification. 3. Heteroscedastic Models
FRR 2025-04 Chess-Inspired Multi-Algorithm Optimization (CheMO)
FRR 2025-03 Hypothesis Test Resolution and Distribution of P-values
FRR 2025-02 Model-based Robust Estimation of Population Parameters from Samples
FRR 2025-01 Relevant vs. Significant Differences in Hypothesis Testing
FRR 2024-15 On the Lack of Symmetry in Least-Squares Minimization
FRR 2024-14 Helmert’s Ratio (H) of Sample Standard Deviations Distribution
FRR 2024-13 Power Series Expansion of Nonlinear Functions of Randomistic Variables
FRR 2024-10 Understanding Work, Heat, and The First Law of Thermodynamics 2: Examples
FRR 2024-08 Understanding Work, Heat, and the First Law of Thermodynamics 1: Fundamentals
FRR 2024-07 Estimation of the Mean using Samples obtained from Finite Populations
FRR 2024-06 Local Properties Fluctuation in Microcanonical (NVE) Systems
FRR 2024-05 A Continuous Normal Approximation to the Binomial Distribution
FRR 2024-04 Local Average Probabilities of Randomistic Variables
FRR 2024-02 Rounding Error Propagation: Bias and Uncertainty
FRR 2024-01 Calculus of Probabilities of Randomistic Variables
FRR 2023-17 Optimal Model Structure Identification. 2. Nonlinear Regression
FRR 2023-14 Simulating Gay-Lussac’s Free Expansion Experiment
FRR 2023-13 Optimal Model Structure Identification. 1. Multiple Linear Regression
FRR 2023-11 Molecular Modeling of Macroscopic Phase Changes 3: Heat and Rate of Evaporation
FRR 2023-09 A General Framework of Microscopic Transport Phenomena
FRR 2023-06 Entropy and Enthalpy: Reality or Grandiose Mistake?
FRR 2023-05 PID Controller Stability and Tuning using a Time-Domain Approach
FRR 2023-03 Towards a Robust and Unbiased Estimation of Standard Deviation
FRR 2023-02 Probability Distribution and Bias of the Sample Standard Deviation
FRR 2023-01 Representative Functions of the Standard Normal Distribution
FRR 2022-19 Random and General Distribution Deviation of Nonlinear Functions
FRR 2022-17 ForsChem Research 100th Report: A 7-Year Retrospective
FRR 2022-16 Molecular Modeling of Macroscopic Phase Changes 2: Vapor Pressure Parameters
FRR 2022-15 Numerical Determination of the Probability Density of Functions of Randomistic Variables
FRR 2022-14 A General Multiscale Pair Interaction Potential Model
FRR 2022-12 Adaptive Step-size One-at-a-time (OAT) Optimization
FRR 2022-11 Probability Transforms: Expected Value of Functions
FRR 2022-10 Molecular Modeling of Macroscopic Phase Changes 1: Liquid Evaporation
FRR 2022-09 Dynamics of Rotational Motion and Angular Momentum Nonconservation
FRR 2022-08 A Smooth Transition from Molecular to Brownian Dynamics Simulation
FRR 2022-06 Standard Deterministic, Standard Random, and Randomistic Variables
FRR 2022-05 Effect of Velocity on the Measurement of Inertial Mass
FRR 2022-04 Normal Distribution and Transcendental Functions: Mathematical and Historical Relations
FRR 2022-03 Macroscale vs. Microscale Interaction Potential Energy
FRR 2021-18 Probability Distribution of Intermolecular Potential Energies
FRR 2021-17 Inconsistencies in the Boltzmann-Gibbs Energy Distribution
FRR 2021-16 Macroscale Kinematic Equilibrium between Two Bodies
FRR 2021-15 On the N-Body=Single-Body Multiscale Equivalence
FRR 2021-14 Sustained Oscillating Collisions between Two Monoatomic Molecules
FRR 2021-13 Collision Dynamics between Two Monoatomic Molecules
FRR 2021-11 Optimal Significance Level and Sample Size in Hypothesis Testing. 6. Testing Regression
FRR 2021-10 Optimal Significance Level and Sample Size in Hypothesis Testing. 5. Tests of Medians
FRR 2021-08 Optimal Significance Level and Sample Size in Hypothesis Testing. 3. Large Samples
FRR 2021-07 Optimal Significance Level and Sample Size in Hypothesis Testing. 2. Tests of Variances
FRR 2021-06 Optimal Significance Level and Sample Size in Hypothesis Testing. 1. Tests of Means
FRR 2021-03 The Effect of Chemical Reactions on the Barometric Formula
FRR 2021-02 Net Force exerted by the Collision of Ideal Gas Molecules on Flat Floating Bodies
FRR 2020-21 Reconstructing Probability Distributions using Quantile-based Splines
FRR 2020-20 On the Discreteness of Measured Variables and the Continuous Approximation
FRR 2020-19 Understanding Temperature: Relativity and Multiscality of Kinetic Energy
FRR 2020-17 Molecular Speed Limits and Truncated Distributions
FRR 2020-16 Equivalent Degrees of Freedom, Heat Capacity and Adiabatic Index of Non-ideal Gases
FRR 2020-14 A Barometric Formula without the Hydrostatic Pressure Assumption
FRR 2020-13 Expected Momentum and Energy Changes during Elastic Molecular Collisions
FRR 2020-12 Testing Pascal's Law in Gases using Free Fall Experiments
FRR 2020-10 Entropy: A Physical Entity or a Mathematical Construct?
FRR 2020-08 Effect of light on the gravitational sedimentation of colloidal polymer particles
FRR 2020-07 Effect of External Forces on the Macroscopic Properties of Ideal Gases
FRR 2020-06 Probability Distributions in Groups of Random Elements
FRR 2020-05 Expanded State-Space Model for a Linear SISO Controller: Stability and Tuning
FRR 2020-04 Approximate Function Inversion by Series Expansions
FRR 2020-03 Optimal Samples from Selected Probability Distributions
FRR 2020-02 In silico Toxicity Prediction using an Integrative Multimodel Approach
FRR 2020-01 Formulation and Testing of Scientific Hypotheses in the presence of Uncertainty
FRR 2019-14 On the Relationship between Time and Temperature
FRR 2019-12 Probability Distributions of Molecular Kinetic Energy and Molecular Temperature
FRR 2019-09 Probability Density Functions of Imaginary and Complex Random Variables
FRR 2019-08 Leibniz’s Rule and other Properties of Integrals of Randomistic Variables
FRR 2019-07 On the Relationship between Molecular and Macroscopic Diffusion in Ideal Gases
FRR 2019-05 Molecular Fluxes of Ideal Gases: Some Additional Remarks
FRR 2019-04 Modeling and Identification of Noisy Dynamic Systems
FRR 2019-03 Calculation of Molecular Fluxes and Equivalent Pressure in Ideal Gases
FRR 2019-02 Probability of Collision of Random Inertial Particles with a Flat Wall
FRR 2018-06 Probability Density Functions of Derivatives of Random Variables
FRR 2018-05 Statistical Modeling and Analysis of Experiments without ANOVA
FRR 2018-03 On the Stochastic Nature of Multiscale Systems: Research Perspectives
FRR 2018-02 Multidimensional Randomness, Standard Random Variables and Variance Algebra
FRR 2017-16 Stochastic Molecular Thermodynamics of Small Systems: Ideal Gases
FRR 2017-15 Calculus of Random Finite Differences and Differentials
FRR 2017-13 Multivariate Probability Theory: Determination of Probability Density Functions
FRR 2017-11 Clausius’ molecular sphere of action in crowded systems: Non-ideal gas behavior
FRR 2017-10 Clausius’ sphere of action for different intermolecular potentials
FRR 2017-09 Multicomponent Molecular Diffusion: A Mathematical Framework
FRR 2017-07 Multicomponent Molecular Collision Kinetics: Rigorous Collision Time Distribution
FRR 2017-06 Molecular Free Path Statistical Distribution of Multicomponent Systems
FRR 2017-05 Clausius’ Entropy change during molecular collisions
FRR 2017-02 Standard Maxwell-Boltzmann distribution: Definition and Properties
Browse by Topic
Browse by Topic
Molecular Physics and Chemistry
Molecular Physics and Chemistry
FRR 2024-06 Local Properties Fluctuation in Microcanonical (NVE) Systems
FRR 2023-14 Simulating Gay-Lussac’s Free Expansion Experiment
FRR 2023-11 Molecular Modeling of Macroscopic Phase Changes 3: Heat and Rate of Evaporation
FRR 2023-09 A General Framework of Microscopic Transport Phenomena
FRR 2022-16 Molecular Modeling of Macroscopic Phase Changes 2: Vapor Pressure Parameters
FRR 2022-14 A General Multiscale Pair Interaction Potential Model
FRR 2022-10 Molecular Modeling of Macroscopic Phase Changes 1: Liquid Evaporation
FRR 2022-09 Dynamics of Rotational Motion and Angular Momentum Nonconservation
FRR 2022-08 A Smooth Transition from Molecular to Brownian Dynamics Simulation
FRR 2022-03 Macroscale vs. Microscale Interaction Potential Energy
FRR 2021-18 Probability Distribution of Intermolecular Potential Energies
FRR 2021-17 Inconsistencies in the Boltzmann-Gibbs Energy Distribution
FRR 2021-16 Macroscale Kinematic Equilibrium between Two Bodies
FRR 2021-15 On the N-Body=Single-Body Multiscale Equivalence
FRR 2021-14 Sustained Oscillating Collisions between Two Monoatomic Molecules
FRR 2021-13 Collision Dynamics between Two Monoatomic Molecules
FRR 2021-03 The Effect of Chemical Reactions on the Barometric Formula
FRR 2021-02 Net Force exerted by the Collision of Ideal Gas Molecules on Flat Floating Bodies
FRR 2020-19 Understanding Temperature: Relativity and Multiscality of Kinetic Energy
FRR 2020-17 Molecular Speed Limits and Truncated Distributions
FRR 2020-16 Equivalent Degrees of Freedom, Heat Capacity and Adiabatic Index of Non-ideal Gases
FRR 2020-14 A Barometric Formula without the Hydrostatic Pressure Assumption
FRR 2020-13 Expected Momentum and Energy Changes during Elastic Molecular Collisions
FRR 2020-12 Testing Pascal's Law in Gases using Free Fall Experiments
FRR 2020-08 Effect of light on the gravitational sedimentation of colloidal polymer particles
FRR 2020-07 Effect of External Forces on the Macroscopic Properties of Ideal Gases
FRR 2020-02 In silico Toxicity Prediction using an Integrative Multimodel Approach
FRR 2019-14 On the Relationship between Time and Temperature
FRR 2019-12 Probability Distributions of Molecular Kinetic Energy and Molecular Temperature
FRR 2019-07 On the Relationship between Molecular and Macroscopic Diffusion in Ideal Gases
FRR 2019-05 Molecular Fluxes of Ideal Gases: Some Additional Remarks
FRR 2019-03 Calculation of Molecular Fluxes and Equivalent Pressure in Ideal Gases
FRR 2019-02 Probability of Collision of Random Inertial Particles with a Flat Wall
FRR 2017-16 Stochastic Molecular Thermodynamics of Small Systems: Ideal Gases
FRR 2017-11 Clausius’ molecular sphere of action in crowded systems: Non-ideal gas behavior
FRR 2017-10 Clausius’ sphere of action for different intermolecular potentials
FRR 2017-09 Multicomponent Molecular Diffusion: A Mathematical Framework
FRR 2017-07 Multicomponent Molecular Collision Kinetics: Rigorous Collision Time Distribution
FRR 2017-06 Molecular Free Path Statistical Distribution of Multicomponent Systems
FRR 2017-05 Clausius’ Entropy change during molecular collisions
Randomistics
Randomistics
FRR 2025-06 The Symmetrical Fitting Method for Model Identification
FRR 2025-05 Optimal Model Structure Identification. 3. Heteroscedastic Models
FRR 2025-03 Hypothesis Test Resolution and Distribution of P-values
FRR 2025-02 Model-based Robust Estimation of Population Parameters from Samples
FRR 2025-01 Relevant vs. Significant Differences in Hypothesis Testing
FRR 2024-15 On the Lack of Symmetry in Least-Squares Minimization
FRR 2024-14 Helmert’s Ratio (H) of Sample Standard Deviations Distribution
FRR 2024-13 Power Series Expansion of Nonlinear Functions of Randomistic Variables
FRR 2024-07 Estimation of the Mean using Samples obtained from Finite Populations
FRR 2024-05 A Continuous Normal Approximation to the Binomial Distribution
FRR 2024-04 Local Average Probabilities of Randomistic Variables
FRR 2024-02 Rounding Error Propagation: Bias and Uncertainty
FRR 2024-01 Calculus of Probabilities of Randomistic Variables
FRR 2023-17 Optimal Model Structure Identification. 2. Nonlinear Regression
FRR 2023-13 Optimal Model Structure Identification. 1. Multiple Linear Regression
FRR 2023-03 Towards a Robust and Unbiased Estimation of Standard Deviation
FRR 2023-02 Probability Distribution and Bias of the Sample Standard Deviation
FRR 2023-01 Representative Functions of the Standard Normal Distribution
FRR 2022-19 Random and General Distribution Deviation of Nonlinear Functions
FRR 2022-15 Numerical Determination of the Probability Density of Functions of Randomistic Variables
FRR 2022-11 Probability Transforms: Expected Value of Functions
FRR 2022-06 Standard Deterministic, Standard Random, and Randomistic Variables
FRR 2021-11 Optimal Significance Level and Sample Size in Hypothesis Testing. 6. Testing Regression
FRR 2021-10 Optimal Significance Level and Sample Size in Hypothesis Testing. 5. Tests of Medians
FRR 2021-08 Optimal Significance Level and Sample Size in Hypothesis Testing. 3. Large Samples
FRR 2021-07 Optimal Significance Level and Sample Size in Hypothesis Testing. 2. Tests of Variances
FRR 2021-06 Optimal Significance Level and Sample Size in Hypothesis Testing. 1. Tests of Means
FRR 2020-21 Reconstructing Probability Distributions using Quantile-based Splines
FRR 2020-20 On the Discreteness of Measured Variables and the Continuous Approximation
FRR 2020-19 Understanding Temperature: Relativity and Multiscality of Kinetic Energy
FRR 2020-17 Molecular Speed Limits and Truncated Distributions
FRR 2020-06 Probability Distributions in Groups of Random Elements
FRR 2020-04 Approximate Function Inversion by Series Expansions
FRR 2020-03 Optimal Samples from Selected Probability Distributions
FRR 2020-01 Formulation and Testing of Scientific Hypotheses in the presence of Uncertainty
FRR 2019-12 Probability Distributions of Molecular Kinetic Energy and Molecular Temperature
FRR 2019-09 Probability Density Functions of Imaginary and Complex Random Variables
FRR 2019-08 Leibniz’s Rule and other Properties of Integrals of Randomistic Variables
FRR 2019-04 Modeling and Identification of Noisy Dynamic Systems
FRR 2019-02 Probability of Collision of Random Inertial Particles with a Flat Wall
FRR 2018-06 Probability Density Functions of Derivatives of Random Variables
FRR 2018-05 Statistical Modeling and Analysis of Experiments without ANOVA
FRR 2018-03 On the Stochastic Nature of Multiscale Systems: Research Perspectives
FRR 2018-02 Multidimensional Randomness, Standard Random Variables and Variance Algebra
FRR 2017-16 Stochastic Molecular Thermodynamics of Small Systems: Ideal Gases
FRR 2017-15 Calculus of Random Finite Differences and Differentials
FRR 2017-13 Multivariate Probability Theory: Determination of Probability Density Functions
FRR 2017-02 Standard Maxwell-Boltzmann distribution: Definition and Properties
Thermodynamics
Thermodynamics
FRR 2024-10 Understanding Work, Heat, and The First Law of Thermodynamics 2: Examples
FRR 2024-08 Understanding Work, Heat, and the First Law of Thermodynamics 1: Fundamentals
FRR 2024-06 Local Properties Fluctuation in Microcanonical (NVE) Systems
FRR 2023-14 Simulating Gay-Lussac’s Free Expansion Experiment
FRR 2023-06 Entropy and Enthalpy: Reality or Grandiose Mistake?
FRR 2021-18 Probability Distribution of Intermolecular Potential Energies
FRR 2021-17 Inconsistencies in the Boltzmann-Gibbs Energy Distribution
FRR 2021-15 On the N-Body=Single-Body Multiscale Equivalence
FRR 2021-13 Collision Dynamics between Two Monoatomic Molecules
FRR 2020-19 Understanding Temperature: Relativity and Multiscality of Kinetic Energy
FRR 2020-16 Equivalent Degrees of Freedom, Heat Capacity and Adiabatic Index of Non-ideal Gases
FRR 2020-13 Expected Momentum and Energy Changes during Elastic Molecular Collisions
FRR 2020-10 Entropy: A Physical Entity or a Mathematical Construct?
FRR 2019-14 On the Relationship between Time and Temperature
FRR 2019-12 Probability Distributions of Molecular Kinetic Energy and Molecular Temperature
FRR 2017-16 Stochastic Molecular Thermodynamics of Small Systems: Ideal Gases
FRR 2017-11 Clausius’ molecular sphere of action in crowded systems: Non-ideal gas behavior
FRR 2017-10 Clausius’ sphere of action for different intermolecular potentials
FRR 2017-05 Clausius’ Entropy change during molecular collisions
Miscellaneous Topics
Miscellaneous Topics
FRR 2025-04 Chess-Inspired Multi-Algorithm Optimization (CheMO)
FRR 2023-05 PID Controller Stability and Tuning using a Time-Domain Approach
FRR 2022-17 ForsChem Research 100th Report: A 7-Year Retrospective
FRR 2022-12 Adaptive Step-size One-at-a-time (OAT) Optimization
FRR 2022-05 Effect of Velocity on the Measurement of Inertial Mass
FRR 2022-04 Normal Distribution and Transcendental Functions: Mathematical and Historical Relations
FRR 2020-08 Effect of light on the gravitational sedimentation of colloidal polymer particles
FRR 2020-05 Expanded State-Space Model for a Linear SISO Controller: Stability and Tuning
FRR 2020-02 In silico Toxicity Prediction using an Integrative Multimodel Approach
FRR 2020-01 Formulation and Testing of Scientific Hypotheses in the presence of Uncertainty
FRR 2018-03 On the Stochastic Nature of Multiscale Systems: Research Perspectives
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