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In science and mathematics, an open problem or an open question is a known problem which can be accurately stated, and which is assumed to have an objective and verifiable solution, but which has not yet been solved (i.e., no solution for it is known). In the history of science, some of these supposed open problems were "solved" by means of showing that they were not well-defined. In mathematics, many open problems are concerned with the question of whether a certain definition is or is not consistent.

Protein structure predictionProtein structure predictionProtein structure prediction is the inference of the three-dimensional structure of a protein from its amino acid sequence—that is, the prediction of its secondary and tertiary structure from primary structure. Structure prediction is different from the inverse problem of protein design. Protein structure prediction is one of the most important goals pursued by computational biology and addresses Levinthal's paradox.MathematicsMathematicsField of knowledgeIlluminated letter P at the beginning of Adelard of Bath's translation of Euclid's Elements, which starts "Punctum est illud cui pars non est" ('A point is that which has no part'). Geometry is shown personified as a woman, following Martianus Capella's De nuptiis Philologiae et Mercurii.Mathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities.Fermat's Last TheoremFermat's Last TheoremIn number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that there are no positive integersa,b,c,n{\displaystyle a,b,c,n} with n>2{\displaystyle n>2} such that an+bn=cn{\displaystyle a^{n}+b^{n}=c^{n}}. The cases n=1{\displaystyle n=1} and n=2{\displaystyle n=2} have been known since antiquity to have infinitely many solutions.History of scienceThe history of science covers the development of science from ancient times to the present. It encompasses all three major branches of science: natural, social, and formal. Protoscience, early sciences, and natural philosophies such as alchemy and astrology that existed during the Bronze Age, Iron Age, classical antiquity and the Middle Ages, declined after the emergence of modern sciences during the Scientific Revolution.ScienceScienceScience is a systematic discipline that builds and organises knowledge in the form of testable explanations about nature and society. It is driven by the scientific method: an empirical cycle that typically involves making observations, producing hypotheses, testing them with evidence, and drawing conclusions. Science encompasses this process and the body of knowledge it produces, which the scientific community continuously challenges, validates, and organises.ProteinProteinBiomolecule consisting of chains of amino acid residuesA representation of the 3D structure of the protein myoglobin showing turquoise α-helices. This protein was the first to have its structure solved by X-ray crystallography. Toward the right-center among the coils, a prosthetic group called a heme group (shown in gray) with a bound oxygen molecule (red).Proteins are large biomolecules and macromolecules that comprise one or more long chains of amino acidresidues.Poincaré conjecturePoincaré conjectureIn the mathematical field of geometric topology, the Poincaré conjecture (UK: , US: , French:) is a theorem about the characterization of the 3-sphere (the hypersphere that bounds the 4-ball in four-dimensional space). Originally conjectured by Henri Poincaré in 1904, the theorem concerns spaces that locally look like ordinary three-dimensionalEuclidean space but which are finite in extent.21st centuryThe 21st century is the current century in the Anno Domini or Common Era, in accordance with the Gregorian calendar. It began on 1 January 2001, and will end on 31 December 2100. It is the first century of the 3rd millennium. The rise of a global economy and Third World consumerism marked the beginning of the century, along with increased private enterprise and deepening concern over terrorism after the September 11 attacks on the United States in 2001.David Baker (biochemist)David Baker (biochemist)David Baker (born October 6, 1962) is an American biochemist and computational biologist who has pioneered methods to design proteins and predict their three-dimensional structures. He is the Henrietta and Aubrey Davis Endowed Professor in Biochemistry, an investigator with the Howard Hughes Medical Institute, and an adjunct professor of genome sciences, bioengineering, chemical engineering, computer science, and physics at the University of Washington.Demis HassabisDemis HassabisBritish AI researcher (born 1976)Sir Demis Hassabis (born 27 July 1976) is a British artificial intelligence (AI) researcher and entrepreneur. He is the chairman and co-founder of Google DeepMind and the chief scientist of Alphabet, as well as the chief executive officer and co-founder of Isomorphic Labs. Hassabis is also a UK Government AI Adviser.Nobel Prize in ChemistryNobel Prize in ChemistryThe Nobel Prize in Chemistry is awarded annually by the Royal Swedish Academy of Sciences to scientists in the various fields of chemistry. It is one of the five Nobel Prizes established by the will of Alfred Nobel in 1895, awarded for outstanding contributions in chemistry, physics, literature, peace, and physiology or medicine.Four color theoremFour color theoremIn mathematics, the four color theorem, or the four-color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of non-zero length (i.e., not merely a corner where three or more regions meet). It was the first major theorem to be proved by use of a computer.

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