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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 [ edit ]
Water pouring puzzles (also called water jug problems, decanting problems, [1] [2] measuring puzzles, or Die Hard with a Vengeance puzzles) are a class of puzzle involving a finite collection of water jugs of known integer capacities (in terms of a liquid measure such as liters or gallons). Initially each jug contains a known integer volume of ...
The engine has displacement of 1.8 L; 109.7 cu in (1,798 cc) with a bore of 3.38 in (86 mm) and a stroke of 3.05 in (77 mm). [1] The compression ratio is 10.5:1. [1] The 1.8L DOHC inline 4-cylinder engine served as the standard engine in the Dodge Caliber SE and SXT trim for the 2007–2009 model years. Applications:
Protein folding problem: Is it possible to predict the secondary, tertiary and quaternary structure of a polypeptide sequence based solely on the sequence and environmental information? Inverse protein-folding problem: Is it possible to design a polypeptide sequence which will adopt a given structure under certain environmental conditions?
The real part of every nontrivial zero of the Riemann zeta function is 1/2. The Riemann hypothesis is that all nontrivial zeros of the analytical continuation of the Riemann zeta function have a real part of 1 / 2 . A proof or disproof of this would have far-reaching implications in number theory, especially for the distribution of prime ...
[2] [3] An important open mathematics problem solved in the early 21st century is the Poincaré conjecture. Open problems exist in all scientific fields. For example, one of the most important open problems in biochemistry is the protein structure prediction problem [4] [5] – how to predict a protein's structure from its sequence.
This article is a list of notable unsolved problems in astronomy. Problems may be theoretical or experimental. Theoretical problems result from inability of current theories to explain observed phenomena or experimental results. Experimental problems result from inability to test or investigate a proposed theory.
Lower bound: none (so it may be level 2 or 1 or even 0 of the hierarchy). NOTE: the following related problems are known to be computationally hard: Calculating the 1-of- n {\displaystyle n} MMS of a given agent is NP-hard even if all agents have additive preferences (reduction from partition problem ).