Mathematical problem: A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a ... (Problem that can be possibly solved via mathematics) [93%] 2023-12-12 [Mathematics education] [Elementary mathematics]...
Hydrodynamics, mathematical problems in: Problems for systems of equations describing mechanical models of a liquid flow and its interaction with the bounding surfaces. The frequently-encountered turbulent flows are theoretically described with the aid of partial, and mostly semi-empirical, models that are applicable ... (Mathematics) [92%] 2024-01-12
Oceanography, mathematical problems in: mathematical problems in oceanology Mathematical problems in the fields of marine physics, chemistry, geology, and biology. In marine physics, the problems mainly concern geophysical hydrodynamics (defined as the hydrodynamics of natural currents of rotating baroclinic stratified liquids). (Mathematics) [92%] 2023-12-12
Thermodynamics, mathematical problems in: Problems connected with the research on general properties of macroscopic systems in states of thermodynamical equilibrium, and the transition processes between those states. The mathematical machinery of macroscopic thermodynamics arises from the so-called principles of thermodynamics. (Mathematics) [92%] 2023-10-17
Geocryology, mathematical problems in: Mathematical problems arising in the study of processes and effects taking place in frozen soils and rocks, and the geographical propagation and conditions of rock formation which are seasonally or permanently frozen (permafrost). Interesting problems in geocryology arise in studies ... (Mathematics) [92%] 2023-10-22
Geodesy, mathematical problems in: Problems involving the determination of the gravity field and the shape of the Earth in a unique coordinate system. The coordinates employed are the orthogonal Cartesian system $ ( x, y, z) $ and the curvilinear orthogonal coordinates $ B, L, H $ or $ u ... (Mathematics) [92%] 2023-10-21
Turbulence, mathematical problems in: The derivation, analysis and solution of equations describing turbulent flows of fluids and gases (that is, turbulent flows whose thermodynamic and hydrodynamic characteristics undergo chaotic fluctuations as a result of the presence of numerous eddies of varying sizes and therefore ... (Mathematics) [92%] 2023-10-25
Robotics, mathematical problems in: Robotics studies deal with the design of autonomous and semi-autonomous machines intended to perform complex tasks in a wide range of applications, from assembly in industrial settings to waste material disposal, to exploration and exploitation of resources in hazardous ... (Mathematics) [92%] 2023-10-17
Meteorology, mathematical problems in: Problems in the area of the physics, the chemistry and the biology of the atmosphere, solved with the aid of mathematical methods. The majority of mathematical problems in meteorology are characterized by their complexity and the huge volume of information ... (Mathematics) [92%] 2023-10-25
Cartography, mathematical problems in: The problems arising in the construction of the mathematical foundations of (geographical and special) maps, that is to say, in the development of the theory of cartographic projections (also called map projections, cf. Cartographic projection), the study of their properties ... (Mathematics) [92%] 2023-10-18
Geophysics, mathematical problems in: Problems that arise in the analysis of physical phenomena in studies of the structure of the Earth. Depending on the nature of the physical phenomena involved, one distinguishes between the following types of geophysical studies: gravitational exploration, based on the ... (Mathematics) [92%] 2023-10-25
Geothermics, mathematical problems in: Mathematical problems involved in the study of thermal processes taking place in the Earth. In geothermics one distinguishes between surface phenomena connected with temperature fluctuations in the upper layers of the Earth produced by solar radiation, and deep phenomena related ... (Mathematics) [92%] 2023-10-22
Relativistic hydrodynamics, mathematical problems in: Problems for a system of equations that describes the flow of a fluid with velocities approaching the velocity of light $ c $, as well as its interaction with strong gravitational fields. In the extreme case of low velocities $ \nu \ll c ... (Mathematics) [82%] 2023-10-25
Statistical mechanics, mathematical problems in: The totality of problems of mathematical physics that arise from trying to interpret accurately the basic concepts and facts of statistical mechanics. These problems can be conditionally divided into the following groups: 1) the foundations of the basic principles of ... (Mathematics) [82%] 2023-12-11
Magneto-hydrodynamics, mathematical problems in: The problems connected with the investigation of the motion of conducting fluids and gases in the presence of a magnetic field. (Mathematics) [82%] 2023-10-22
Statistical physics, mathematical problems in: Problems that arise from the use of mathematical tools in statistical physics. Mathematical problems in statistical physics are basically related to two directions of the statistical theory: to equilibrium statistical mechanics, the problems of which are related to the development ... (Mathematics) [82%] 2023-12-11
Relativistic astrophysics, mathematical problems in: Problems that arise in the study of astrophysical phenomena in which relativistic effects, i.e. effects of the special or general theory of relativity (cf. (Mathematics) [82%] 2023-10-17
Relativistic thermodynamics, mathematical problems in: The establishment of relationships between quantities that characterize the macroscopic state of bodies (thermodynamic quantities) in the presence of strong gravitational fields and velocities comparable to the velocity of light. It is normal practice to examine the equilibrium thermodynamics of ... (Mathematics) [82%] 2023-10-25
List of unsolved problems in mathematics: Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number ... (none) [81%] 2023-12-19 [Unsolved problems in mathematics] [Conjectures]...