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List of unsolved problems may refer to several notable conjectures or open problems in various academic fields: Natural sciences, engineering and medicine
The other six Millennium Prize Problems remain unsolved, despite a large number of unsatisfactory proofs by both amateur and professional mathematicians. Andrew Wiles , as part of the Clay Institute's scientific advisory board, hoped that the choice of US$ 1 million prize money would popularize, among general audiences, both the selected ...
Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result. The others are experimental, meaning that there is a difficulty in creating an experiment to test a proposed theory or investigate a phenomenon in greater detail.
This article is a list of notable unsolved problems in computer science. A problem in computer science is considered unsolved when no solution is known or when experts in the field disagree about proposed solutions.
Mechanical engineering – applies the principles of engineering, physics, and materials science for the design, analysis, manufacturing, and maintenance of mechanical systems. Software engineering – the technology and application of a systematic approach to the development, operation, maintenance, and retirement of computer software.
The P versus NP problem is a major unsolved problem in theoretical computer science. Informally, it asks whether every problem whose solution can be quickly verified can also be quickly solved. Informally, it asks whether every problem whose solution can be quickly verified can also be quickly solved.
The sign problem is one of the major unsolved problems in the physics of many-particle systems. It often arises in calculations of the properties of a quantum mechanical system with large number of strongly interacting fermions , or in field theories involving a non-zero density of strongly interacting fermions.
Mechanical engineering – applies the principles of engineering, physics, and materials science for the design, analysis, manufacturing, and maintenance of mechanical systems. Software engineering – the technology and application of a systematic approach to the development, operation, maintenance, and retirement of computer software.