## Scope

## Table of Content

## Scope

## Physics Scope

The scope page of Special Journal ofEngineering, Physics & Mathematics/Statistics [SJ-EPM] deals with what the coverage is and may include a wide range of topics in Physics, We are therefore willing to accept for publication:

### Non-ionizing radiation

- Papers in non-ionizing radiation, including ultraviolet, ultrasound and optical radiation including the development and calibration of medical devices and houses a 3D printing service that supports a range of research and clinical activity.
- Papers within our scope on magnetic resonance Physics dealing with how radiographers, radiologists and other clinicians, and more broadly with MRI vendors can ensure that MRI equipment is used effectively, efficiently, and safely including the lead and support of translational research and brings promising new techniques into clinical practice.
- Papers within our scope with details on how best to ensure that nuclear medicine imaging equipment is performing to high standards and that patients are imaged safely and ensure the treatment of patients using radioactive materials.
- Papers within our scope that ensure that patients, members of the general public and staff are kept safe when ionizing radiation is used within the Trust, whether to diagnose and treat patients or in research laboratories. Such paper should provide scientific expertise to support the procurement and optimal use of x-ray imaging equipment and the safe use of medical lasers.

### Radiotherapy physics

- Papers within our scope on Radiotherapy physics that outlines how best to ensure that machines used to provide radiation therapy to cancer patients are working as expected and deliver the correct amount of radiation including planning for individual patient treatments to ensure that the tumor receives the radiation dose prescribed by the clinical oncologists and healthy tissues are avoided as far as possible.
- Papers within our scope that show how best to provide safety testing, calibration, and maintenance support for thousands of medical devices such as glucose meters and infusion pumps

### Condensed matter physics

- Papers within our scope on condensed matter physics with details on the macroscopic physical properties of matter including the condensed phases that appear whenever the number of constituents in a system is extremely large and the interactions between the constituents are strong.
- Papers within our scope on how solids and liquids, arise from the bonding and electromagnetic force between atoms including the superfluid and the Bose-Einstein condensate found in certain atomic systems at very low temperatures, the superconducting phase exhibited by conduction electrons in certain materials, and the ferromagnetic and antiferromagnetic phases of spins on atomic lattices.
- Papers within our scope on condensed matter physics outlining how the concepts and techniques developed for studying solids actually apply to fluid systems including the fact that the conduction electrons in an electrical conductor form a type of quantum fluid with essentially the same properties as fluids made up of atoms.

### Phenomenon of superconductivity

- Papers within our scope on the phenomenon of superconductivity, in which the electrons condense into a new fluid phase in which they can flow without dissipation, showing how it is very closely analogous to the superfluid phase found in helium 3 at low temperatures.
- Papers within our scope in atomic, molecular and optical physics which deals with matter-matter and light-matter interactions on the scale of single atoms or structures containing a few atoms with emphasis on why atomic, molecular and optical physics are grouped together because of their interrelationships, the similarity of methods used, and the commonality of the energy scales that are relevant.

### Theories about Quantum Mechanics

- Papers within our scope on how to use single trapped atoms to make extremely precise measurements to confirm theories about Quantum Mechanics or Relativity including the exploration of the interaction between atoms (or molecules) or the interaction between light and atoms. Lasers and laser physics are an important part of this research area.
- Papers within our scope on Nuclear physics concerned with the nucleus of the atom: probing the fundamental particles (protons and neutrons) and their interactions, classifying and interpreting the properties of nuclei, and providing technological advances.
- Papers within our scope with details on the fission and fusion reactions that provide nuclear power, as well as the nuclear synthesis process that fuels the sun and other stars.

### Particle physics

- Papers on Particle physics which focuses on elementary constituents of matter and radiation, and the interactions between them and with details
- Papers within our scope on high energy physics with details on why many elementary particles do not occur under normal circumstances in nature but can be created and detected during energetic collisions of other particles, as is done in particle accelerators.
- Papers within our scope on the classification of elementary particles as the strong, weak, and electromagnetic fundamental forces, using mediating gauge bosons with details on the species of gauge bosons which are the gluons, W- and W+ and Z bosons, and the photons, respectively.
- Papers within our scope on the 24 fundamental particles, which are the constituents of matter and Finally, it predicts the existence of a type of boson known as the Higgs boson, which has yet to be discovered.

### String theory

- Papers within our scope on string theory which attempts to construct a unified description of quantum mechanics and general relativity by building a theory based on small strings, and branes rather than particles with the ultimate goal of being called the Theory of Everything.
- Papers on Astrophysics with details on the physics of the universe, including the physical properties (luminosity, density, temperature, and chemical composition) of astronomical objects such as stars, galaxies, and the interstellar medium, as well as their interactions whereas the study of cosmology is theoretical astrophysics at the largest scales.

### Astrophysics and mechanics

- Papers within our scope on Astrophysics and mechanics, electromagnetism, statistical mechanics, thermodynamics, quantum mechanics, relativity, nuclear and particle physics, and atomic and molecular physics. In practice, modern astronomical research involves a substantial amount of physics.
- Papers on Acoustics that deals with the production, control, transmission, reception, and effects of sound, having application in the life sciences, the earth sciences, engineering, and the arts.

### Acoustics and Noise control problems

- Papers on Acoustics is applied to noise control problems stemming from vehicle tires, home appliances, office equipment, and power tools; the design of architectural structures such as concert halls, lecture halls, and radio and television stations to optimize sound; the detection and identification of hidden objects (e.g., objects submerged in the ocean); the nondestructive evaluation of the performance and safety of critical components of equipment, such as jet engines, by analyzing acoustic emissions of the components under stress during the use of the equipment; and the improvement of communication.
- papers within our scope on Astronomy with details on the celestial bodies and of their location, magnitude, motions, and constitution including its application to astronomy for studying the apparent and real motions of the sun, the moon, the planets, and the stars is among the earliest contributions to the scientific method.
- Papers within our scope on astronomy that deals with the physics of the universe, including the physical properties (luminosity, density, temperature, and chemical composition) of celestial objects such as stars, galaxies, and the interstellar medium, as well as their interactions.

### Atmospheric physics

- Papers within our scope on Atmospheric physics dealing with the application of physics to the study of the atmosphere including how best to model Earth’s atmosphere and the atmospheres of the other planets using fluid flow equations, chemical models, radiation balancing, and energy transfer processes in the atmosphere (as well as how these tie into other systems such as the oceans).
- Papers on the modeling of weather systems, with employ elements of scattering theory, wave propagation models, cloud physics, statistical mechanics and spatial statistics which are highly mathematical and related to physics.

### Meteorology and Climatology

- Papers on meteorology and climatology and including design and construction of instruments for studying the atmosphere and the interpretation of the data they provide, including remote sensing instruments.
- Papers within our scope on Biophysics with details on the application of physical concepts and techniques to the: study of the principles that underlie the structures and functions of living systems; study of the physical laws that create or affect biological molecules and processes.
- Papers within our scope on several levels of biological organization, including the molecular level, the subcellular and cellular level, and the organ level.

### Molecular Biophysics

- Papers within our scope Molecular biophysics considers the structure of biological molecules such as enzymes, muscle proteins, and nucleic acids and how these molecules interact with various forms of energy.
- Papers on biophysics at the subcellular and cellular level and is concerned with how molecules are organized into special cell structures and how these structures perform their specialized functions.
- Papers within our scope on physical principles that underlie the functioning of the ear, eye, and other body systems (e.g., the ear’s response to variations in air pressure that cause sound and the transformation of energy received by nerve impulses from the eye into visual sensations such as color, sharpness, brightness, and shape). Biophysics research also has applications for medicine.
- Papers provide an explanation of the functional relationship of body parts and have a potential impact on disease prevention through the study of the body’s defense mechanisms involving proteins at the cell membrane level.
- Papers that investigate physicochemical phenomena using techniques from atomic and molecular physics and condensed matter physics with emphasis on the study of chemical processes from the point of view of physics, characteristic elements and theories of physics, and the physical nature of chemistry.

### Cryogenics – Low-Temperature Physics

- Papers on Cryogenics (Low-Temperature Physics), matter at temperatures much colder than those that occur naturally on Earth. Low-temperature physicists are concerned with phenomena such as superfluidity and superconductivity, and Bose-Einstein Condensation. The field of cryogenics advanced during World War II when scientists found that metals frozen to low temperatures showed more resistance to wear.
- Papers on Crystallography that deals with the study of crystals which compose solids and are made up of a rigid three-dimensional latticework of molecules that give rise to special properties such as shape, hardness, electrical conductivity, and photoconductivity and how it differs from the former study of crystals based on the geometry of the crystals.
- Papers within our scope on Electromagnetism that deals with the physical relations between electricity and magnetism, a field that exerts a force on particles that possess the property of electric charge, and is in turn affected by the presence and motion of those particles.

### Theoretical implications of electromagnetism

- Papers with details on the theoretical implications of electromagnetism explaining with details how the magnetic field produced by the motion of electric charges causes the magnetic force associated with magnets, principles that should expand our knowledge on electromagnetic theories that led to the development of special relativity by Albert Einstein in 1905.
- Papers within our scope on forms of Energy, relationships between the various forms of energy, energy, and matter, energy transfer systems, and advances in physics applications in the area of energy efficiency, including the development of energy-efficient lighting, windows, heating, and cooling systems, and electrical power plants.

### Engineering physics

- Papers within our scope in Engineering physics dealing with the application of science and mathematics to make the properties of matter and the sources of energy, or physical forces, in nature useful to man in the form of structures, machines, products, systems, and processes at a reasonable expenditure of time and money.
- Papers on factors that have an impact on the environmental air, water, and land, with emphasis on the application of research in laser physics and computing techniques, development of techniques to monitor levels of air pollutants; developments in materials processing and design resulting in the creation of more efficient energy generation methods and recycling techniques; and the use of geophysical methods to monitor radioactivity in the development of new clean-up technologies.

### Fluids in motion and at rest

- Papers within our scope on why fluids tend to flow or conform to the boundaries of their containers with emphasis on the physical and flow properties of liquids in order to understand turbulence, wave motion, and the interactions between structures (such as wings, ships, ocean platforms) and the flowing fluid that surrounds them.
- Papers within our scope in Geophysics with details in the application of the investigation of physical phenomena in the study of the Earth and its internal composition, e especially by seismic, electromagnetic, and radioactivity methods including the origin of the Earth, its history, its shape, the materials that constitute it, and the processes that are or have affected it

### Materials physics

- Papers within our scope in Materials physics that define the practical applications of research into the relationship between the structure and properties of materials, for the benefit of mankind and the economy; including the development of Teflon which is found in everything from cookware to apparel to medical transplant materials.
- Papers in Medical Physics that outlined the design of equipment and techniques used to safely study the human body and diagnose and treat diseases with emphasis on principles of magnetic resonance imaging (MRI), computed axial tomography (CAT scan), Positron Emission Tomography (PET), and x-rays, mammography equipment, and radiation in the treatment of cancer.
- Papers on Molecular Physics dealing with the interaction of the structure and bonding of atoms with details in physical properties of molecules and of the chemical bonds between atoms that bind them into molecules.

### Atomic physics

- Papers within our scope with details on how the essential atomic orbital theory in the field of atomic physics expands to the molecular orbital theory.
- Papers with detail on the structure of the atom’s nucleus and the relationship of the properties of the nucleus to the fundamental constituents and laws of nature including but not limited to the investigation of the weak and strong interactions between nuclear particles and the radiation emitted from unstable nuclei as well as the splitting of nuclei into smaller parts and the merger of nuclei into larger nuclei, called fission and fusion, respectively.
- Papers on the application of nuclear physics in the generation of electrical power and the treatment of cancer are just two of many that have had a major impact on mankind.
- Papers on probing the fundamental particles (protons and neutrons) and their interactions, classifying and interpreting the properties of nuclei, and providing technological advances.
- Papers that contribute to the understanding of basic interactions, nuclear properties and the laws governing the structure of nuclei is an active and productive area of research, and practical applications, such as nuclear power, smoke detectors, cardiac pacemakers, and medical imaging devices, have become common.

### Electromagnetic radiation

- Papers on the generation of electromagnetic radiation, the properties of that radiation, and the interaction of that radiation with matter, especially its manipulation and control. It differs from general optics and optical engineering in that it is focused on the discovery and application of new phenomena.
- Papers on high energy physics designed to discover a single unifying concept that relates all fundamental forces and elementary particles while trying to understand what physics may lie beyond the standard model including why we expect new physics, including dark matter and neutrino mass.
- Papers on the distribution of Plasmas as are the most common phase of matter showing why and how up to 99% of matter in the entire visible universe is plasma and showing more facts to support the facts that the space between the stars is filled with a plasma, albeit a very sparse one (see interstellar medium and intergalactic space), and how essentially the entire volume of the universe is plasma.

### Plasma Physics

- Papers on Plasma Physics deals with the study of a high-temperature gas of electrically charged particles, which has been called the fourth state of matter because plasmas possess properties not found in ordinary solids, liquids, and gases.
- Papers on Plasma properties which can be hot enough for thermonuclear reactions to occur in them and experiments to test if it is possible to initiate nuclear fusion by the production and manipulation of plasma in the laboratory.
- Papers on Rheology which applies physics to the study of the deformation and flow of matter with emphasis on extending the “classical” disciplines of elasticity and (Newtonian) fluid mechanics to materials whose mechanical behavior cannot be described with the classical theories including establishing predictions for mechanical behavior (on the continuum mechanical scale) based on the micro- or nanostructure of the material, such as the molecular size and architecture of polymers in solution or the particle size distribution in a solid suspension.
- Papers that determine how the behavior of atoms and molecules within solids gives rise to their observed properties including the transistor, the photoelectric cell; and the light-emitting diode.
- Papers on crystals, largely based on the facts that the periodicity of atoms in a crystal — its defining characteristic — facilitates mathematical modeling, and also because crystalline materials often have electrical, magnetic, optical, or mechanical properties that can be applied to engineering functions.
- Papers on the study of the physical properties and phenomena of the region beyond the Earth’s atmosphere including the solar system, and the universe beyond.

### Meteorological satellites

- Papers on the development of meteorological satellites that aid in weather forecasting; communications satellites that increase the number of international communications channels available and make possible the intercontinental transmission of television; navigation satellites that guide ships; military satellites that perform vital reconnaissance; geodetic satellites that allow the creation of maps of unprecedented accuracy; and many other products of space technology that are utilized on Earth.
- Papers on the study of the sun, solar wind, planetary magnetospheres and ionospheres, auroras, cosmic rays, synchrotron radiation, and space weather.
- Papers on thermal physics should deal with the mechanical action or relationship between heat, work, temperature, and energy highlighting the statistical nature of physical systems from an energetic perspective including analysis of the first law of thermodynamics and second law of thermodynamics from the statistical perspective, in terms of the number of microstates corresponding to a given macrostate and the concept of entropy studied through quantum theory.

### Canonical probability distribution

- Papers on the canonical probability distribution and the study of electromagnetic nature of photons and phonons to show that the oscillations of electromagnetic fields and of crystal lattices have much in common.

### Vacuum Physics

- Papers on Vacuum Physics should deal with the matter in an environment at low pressure with little or no surrounding gas.
- Papers on the control and study a single particle without interference bypassing the particle through a vacuum, using electrical and magnetic fields to guide particles to a particular target with the ultimate goal of studying the molecular structure.

## Engineering Scope

In this section, we will accept within its scope of publication for consideration original and peer-reviewed papers included but not limited to the following list:

- Papers with details on the design of mechanical systems to assist industries such as manufacturing, aeronautics, nanotechnology, nuclear power production, heating and cooling with a primary focus on thermodynamics, structural analysis, materials science, and kinematics. This is arguably the broadest of all engineering degrees available today and takes in a wide range of engineering disciplines.
- Papers within our scope with details on the study of air and space travel including military aircraft design and development, along with commercial airline design and satellite technology. Such papers should have details on the craft that remain in our atmosphere, and aircraft that goes outside our atmosphere.

### Biomedical Engineering

- Papers with details on Biomedical engineering which combines the study of medicine and biology with emphasis on the development and ma develop and maintain diagnostic and imaging devices.
- Papers within our scope and with details on Biomechanical Engineering that studies organisms and mechanics and how the two solve problems together with an emphasis on environmental challenges such as waste control and keeping our waterways free from pollution.
- Papers with details on automotive engineering involve the design and production of vehicles with an emphasis on mechanical design, performance, manufacturing, electrical engineering and systems management.

### Civil Engineering

- Papers with details on Civil Engineering with emphasis on Environmental, Structural and Marine Engineering respectively and encompasses the development of infrastructures such as buildings, railways, roads construction, bridges and general construction project management including research on rebuilding projects, such as in the event of a natural disaster, displaced people residence, and military camps.
- Papers with details on the design of different structures, including houses, commercial buildings, art museums, stores, and more with emphasis on the effects of natural factors such as erosion, corrosion, wind, and water to ensure buildings and structures are safe for a very long period of time.

### Architectural engineering

- Papers within our scope and with details on Architectural engineering research with emphasis on the construction, planning, and design of project phases, ultimately focusing on building structure and interior designs including but not limited to Heating, Ventilation, Air Conditioning, Electrical, Fire protection, Lighting, Plumbing and other systems specific to the project while paying special attention to natural disasters such as earthquakes and hurricanes where necessary
- Papers with details on the study of electrical, hydro, wind and solar energy with emphasis on researches to develop technologies to assist with the practical application of such energies. Such papers should show the design of components for harnessing some energy such as electrical energy such as electronic equipment, communications systems, power grids, automobiles, and more.

### Electrical Engineering and Computer Science

- Papers with details involving both computer sciences and electrical engineering research with emphasis on telecommunications, Networking, Software Application Development, Manufacturing, and more emerging industries such as Application Development, Web Development, Network Security, Cybersecurity security, and Cloud Computing, among others.
- Papers within our scope and with details on the design and building of electronic equipment placing emphasis on circuits, switchboards, and other electronic configurations.

### Mechatronics Engineering

- Papers with details on Mechatronics Engineering research emerging area for hybrid engineering with a mix of electronics and software, based on computers and technology while bridging that gap, and have intrinsic information on electrical, electronics, and mechanical engineering principles.

### Robotics Engineering

- Papers with details on robotics engineering research with a primary focus on automation and the use of machines to assist with repetitive tasks such as those found in manufacturing. Such papers should emphasize the design of robotic technology and the development of maintenance systems to help achieve optimal efficiency.
- Papers with details on the development and design of small electrical devices such as the first mobile phones and desktop computers, the technical writing aspects of a project and perform tests to verify product conformance.
- Papers with details on how best to create new products, including Cosmetics, foods, pharmaceuticals, beverages, and cleaners from raw chemicals.
- Papers with details on how to improve our environments such as the air we breathe, the food we consume, and water, impact humans have on the planet, including pollution as a result of development and manufacturing processes.

### Materials Science engineering

- Papers in Materials Science engineering research that studied materials and why they behave a specific way or react to things in a certain way such as plastics, ceramics, and polymers. Such papers should show details on increasing demand for materials that are stronger, more environmentally friendly and lighter.

### Chemical Engineering

- Paper Engineering is a specialization of chemical engineering and involves understanding the processes involved (chemical and mechanical) of paper production. This type of degree involves both research based work and practical assessment which is typically lab work. Students learn the principles behind molecular science, wood pulping and fluid mechanics to name just a few.
- Papers with details in Sustainable engineering with emphasis on environmental impact, social and economic aspects of sustainability including both the initial construction process and the complete life cycle of the product being developed.
- Papers on Engineering Management research with detail on the ability to manage engineering projects or manage a team
- Papers with details in Industrial engineering aimed at increasing productivity and reducing waste and spending.

### Systems Engineering

- Papers with details on Systems engineering aimed at developing systems for workplace efficiency, risk management, measuring, and refinement.
- Papers with details on Manufacturing Engineering which focuses on manufacturing processes and machinery and quality control systems with special emphasis on Material science, manufacturing technology, and automation (robotics) along with fluid mechanics and hydraulics.
- Papers on petroleum engineering research with details on the extraction of oil and gas from beneath the earth, development of new extraction methods and technologies including new methods that are more efficient and less damaging to the environment including how best to locate reservoirs beneath the earth’s surface for gas and oil companies.

### Geological Engineering

- Papers with details on Geological engineering research that combine engineering and research skills for mining and construction projects with special emphasis on assessing the ground conditions and other natural hazards (earthquakes, etc.) before starting construction.

### Nuclear Engineering

- Papers on Nuclear engineering research with emphasis on the design, implementation, and maintenance of the plant, supervision, and management.

### Marine Engineering

- Papers on Marine engineering research which focuses on the development of ocean technologies including but not limited to fixed and floating structures, such as pontoons and jetties, propulsion and power generation for boats, ships and other marine transportation, and developing new forms of energy that are reliant on our oceans including wind farms.

### Photonics Engineering

- Papers on Photonics engineering research with emphasis on the exploration of light and this includes generation of light, processing of light signals, amplification of light, and modulation. Such papers should have details on the industrial application of this kind of technology including optical signal processing and communication (telecommunication), Medical, Manufacturing, Aviation, computing, and many more.
- Pape on Nanotechnology with details on the study of extremely small elements such as molecules and single atoms and the production of extremely small devices and how these devices can help solve some of the world’s major problems including health and environmental concerns.
- Papers in mining Engineering research that involves studying the extraction of mined resources from the earth in a safe, economical, and environmentally responsible manner with an emphasis on machinery production and design, mine design, mine construction.

### Ceramics Engineering

- Papers with detail on Ceramics engineer research that develops products from ceramics with an emphasis on Ceramics as a more suitable alternative to metals in many cases due to their heat and cool resistance

### Metallurgical Engineering

- Papers with Metallurgical Engineering research that involves the study of engineering principles to extract and in many cases purify metals and other minerals from ore with emphasis on the development and design processing techniques and machinery taking into account the environmental impact of mineral processing.

## Mathematics and Statistics

Scope page of Special Journal ofEngineering, Physics & Mathematics/Statistics [SJ-EPM] deals with what the coverage of this journal is. We, therefore, are going to accept for publication

## Mathematics scope

- Papers within our scope on a wide variety of structures on topological spaces, including surfaces and 3-dimensional manifolds and moduli space that encode how Riemann surfaces vary in families; with emphasis on the study of geometric and homotopy-theoretic aspects of moduli spaces including algebraic and symplectic geometry that leads to interesting dynamical systems and group theory.
- Papers within our scope on the study of homotopic theory and algebraic K-theory, and their applications to geometry and number theory.

### Algebraic geometry

- Papers within our scope in algebraic geometry that uses diverse methods, with input from commutative algebra, partial differential equation-PDE, algebraic topology, and complex and arithmetic geometry, among others.
- Papers on the cohomology and geometry of the moduli space of curves, the foundations of Gromov-Witten theory, the geometry of algebraic cycles, and problems of enumerative geometry, as well as many other topics including research on geometric representation theory, low-dimensional topology, number theory, and algebraic topology.
- Papers within our scope on analysis and PDE using are geometry and applied mathematics with an emphasis on elliptic and parabolic PDE, especially in connection with Riemannian geometry; propagation phenomena such as waves and scattering theory, including Lorentzian geometry; microlocal analysis, which gives a phase space approach to PDE; geometric measure theory; and stochastic PDE and wave propagation in random media as well as PDE of applied mathematics.

### Applied mathematics

- Papers within our scope on applied mathematics with an emphasis on the areas of scientific computing, stochastic modeling, and applied analysis including signal processing, compressed sensing, imaging, fast numerical algorithms, and mathematical analysis of the physical phenomena in random media including the connection between “theoretical applied mathematics” and “engineering applied mathematics”
- Papers within our scope on Combinatorics with details on the study of discrete objects. Using the probabilistic method, that is the use of probability to prove the existence of combinatorial structures with interesting properties, algebraic methods such as in the use of algebraic geometry to solve problems in discrete geometry and extremal graph theory, and topological methods beginning with Lovász’ proof of the Kneser conjecture.

### Ergodic theory and Langlands Program

- Papers within our scope on how ergodic theory led to the progressive understanding of old questions about the distribution of primes, geometric representation theory and deformation theory and its connection to the emergence of new techniques for constructing Galois representations with prescribed properties, and the study of automorphic forms and how the special values of L-functions have been revolutionized by developments in both p-adic and arithmetic geometry as well as in pure representation theory.
- Papers within our scope on The ideas emerging from the Langlands Program (in its many modern guises) and from the developments that grew out of Wiles’ proof of Fermat’s Last Theorem and how it has continued to guide the algebraic and geometric sides of the subject, and in the analytic direction the synthesis of additive combinatorics and harmonic analysis

### Mathematical problems from analysis of financial data

- Papers in financial mathematics with details on mathematical problems arising from the analysis of financial data involving statistical estimation methods for large data sets, often using random matrix theory and in particular dynamic or time-evolving large random matrices.
- Papers with our scope on financial mathematics on multi-agent stochastic control problems that model interacting markets with emphasis on mean-field games are an example that gives rise to mathematical problems at the interface between differential equations and stochastic analysis.
- Papers within our scope on Modern geometry with details on geometric topology and symplectic geometry to geometric analysis (which has a significant overlap with PDE and geometric measure theory) to dynamical problems.
- Papers within our scope on Ricci and mean curvature flows and other curvature equations, minimal surfaces and geometric measure theory, mathematical relativity, spectral geometry, geometric scattering theory, and the geometry and dynamics of the Riemann & Teichmüller moduli spaces.

### Representation theory

- Papers on the use of Representation theory in the study of objects with symmetry showing why it’s as diverse as card shuffling and quantum mechanics
- Papers from geometry and topology have greatly enhanced our understanding of these questions on geometric representation theory. It should show the study of affine Lie algebras and quantum groups showcasing new ideas and viewpoints, the modern theory of automorphic forms.

## Logic

- Non-classical logic and undesirability
- Inquisitive Intuitionistic Logic
- Propositional Logic
- Some applications
- Design of digital electronic circuits. Design of digital electronic circuits.
- Expressing conditions in programs. Expressing conditions in programs.
- Queries to databases & search engines.

### Propositional Logic –

- Negation, conjunction, disjunction, XOR (exclusive or operator, Implication, Conditional, positional Equivalences, Equivalence.
- Identity, Domination, Idempotent, Double negation, Commutative, Associative, Distributive, De Morgan’s, Absorption, Negation,

### Predicate Logic

- Universal Quantifier, Existential Quantifier, Quantifier negation, Inference Rules, An Inference Rule:, Modus Ponens, Addition, Simplification, Conjunction, Disjunctive Syllogism, Hypothetical Syllogism, Resolution
- The fallacy of: Affirming the Conclusion, Denying the Hypothesis, Inference Rules for Quantified Statements
- First-order logic
- Models and definability, Soundness theorem, Completeness theorem, Compactness theorem
- Undesirability, First incompleteness theorem, Second incompleteness theorem

### Axiomatic propositional logic

- Mathematical induction
- The deduction theorem for propositional logic
- Set theory
- Axiomatic first-order logic
- Modal logic
- Peano arithmetic

### Abstract Argumentation.

- Abstract Argumentation.
- Answer Set Programming.
- Description
**Logics**. - Connectionist Networks.
- Constraint Satisfaction Problems.
- Existential Rules.
- Formal Concept Analysis.
**Logic**and Decision Procedures.- Existential Rules. …
- Formal Concept Analysis. …
- Knowledge representation and reasoning. …
**Logic**and Human Reasoning. …- Semantic Technologies.

## Statistics scope

- Papers that apply mathematical and statistical methods to assess risk in the insurance and finance industries.
- Papers that applies statistical methods to data sets to develop new insights and understanding of business performance & opportunities
- Papers that relate measurements made on a chemical system or process to the state of the system via the application of mathematical or statistical methods.

### The statistical study of all populations

- Papers within details on the statistical study of all populations. It can be a very general science that can be applied to any kind of dynamic population, that is, one that
- Papers on the application of statistical methods to environmental science including Weather, climate, air, and water quality, as well as the studies of plant and animal populations.
- Papers within our scope on factors affecting the health and illness of populations, and serves as the foundation and logic of interventions made in the interest of public health and preventive medicine.

### Probability models and statistical techniques

- Papers on the application of probability models and statistical techniques to scientific evidence, such as DNA evidence, and the law. In contrast to “every day” statistics, to not engender bias or unduly draw conclusions, forensic statisticians report likelihoods as likelihood ratios (LR).
- Papersontheanalysis of data from petroleum ecology, hydrogeology, hydrology, meteorology, oceanography, geochemistry, and geography.
- Papers with our scope on the application of probability and statistics to law.

### Mathematical modeling, statistics, and algorithms

- Papers that formulate algorithms in order to make predictions from data.
- Papers that use methods such as mathematical modeling, statistics, and algorithms to arrive at optimal or near-optimal solutions to complex problems.
- Papers within our scope on the theory and technique of educational and psychological measurement of knowledge, abilities, attitudes, and personality traits.
- Papers that reviews the factors involved in manufacturing and production using statistical sampling of product items to aid decisions in process control or in accepting deliveries.
- Papers within our scope that explain the science of statistically explaining and altering mental processes and behaviors in humans.
- Papers on the ability of a system or component to perform its required functions under stated conditions for a specified period of time
- Papers that empirically attempts to shift finance from its normative roots to a positivist framework using exemplars from statistical physics with an emphasis on emergent or collective properties of financial markets.
- Papers on the application of probability theory, which includes mathematical tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force.

### Probability theories

- Papers that use methods of probability theory in solving physical problems.
- Papers that utilizes the statistical properties of signals to perform signal processing tasks.
- Papers on the microscopic behaviors of thermodynamic systems using probability theory and provide a molecular-level interpretation of thermodynamic quantities such as work, heat, free energy, and entropy.
- Papers on applications of statistics to the population dynamics and distribution of birds, reptiles, amphibians, mammals, fish, insects and plants
- Papers on The application of statistical techniques and calibration methods to problems in astronomy and cosmology
- Papers on applications of statistics to problems in genetics

### Medical applications of statistics

- Papers on Medical applications of statistics with emphasis on the development of statistical methodology motivated by medical problems and to provide statistical support to medical researchers.
- Papers on data science that uses computer-intensive statistical methods to identify patterns and make predictions using large volumes of data with emphasis on statistical and machine learning techniques.
- Papers on the development of interactive decision aids, to assist in the analysis of decision problems with multiple and conflicting objectives, with particular reference to natural resource management and others; Applications of Bayesian statistical analysis for complex decision-making contexts; Bayesian networks as a modeling tool to support decision making; Links between scenario planning and decision analysis
- Papers on Application of statistics to conservation decision making, climate change, understanding of biodiversity patterns, evolutionary ecology and macroecology

### Econometric techniques

- Papers on Econometric techniques used to test theories related to the South African economy in the fields of finance, monetary economics, interest rate theory, and stock market research
- Papers on Statistical examination of data pertaining to schools, disadvantaged students, and to science education
- Papers on Models for the analysis of spatial and temporal data, Extreme value theory