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An example of the second case is the decidability of the first-order theory of the real numbers, a problem of pure mathematics that was proved true by Alfred Tarski, with an algorithm that is impossible to implement because of a computational complexity that is much too high. [122]
[10] For many classes of graphs, a maximum weight independent set may be found in polynomial time. Famous examples are claw-free graphs, [11] P 5-free graphs [12] and perfect graphs. [13] For chordal graphs, a maximum weight independent set can be found in linear time. [14]
[1] [2] In a series of papers, Grünbaum broadened the accepted definition of a polyhedron, discovering many new regular polyhedra. At the close of the 20th century these latter ideas merged with other work on incidence complexes to create the modern idea of an abstract polyhedron (as an abstract 3-polytope), notably presented by McMullen and ...
India was the world's second-largest textile exporter after China in the 2013 calendar year. [ 313 ] Averaging an economic growth rate of 7.5% for several years prior to 2007, [ 304 ] India has more than doubled its hourly wage rates during the first decade of the 21st century. [ 314 ]
Former Representative from Kentucky's 2nd congressional district [117] John C. Watts: AB 1925, LLB 1927: Former Representative from Kentucky's 6th congressional district [118] John D. White: Former Representative from Kentucky's 10th congressional district [119] Ed Whitfield: BS 1965, JD 1969: Former U.S. Representative from Kentucky's 1st ...
For the 2006 fiscal year, the company reported $10.492 billion in total advertising revenues and only $112 million in licensing and other revenues. [220] In 2011, 96% of Google's revenue was derived from its advertising programs. [221] Google generated $50 billion in annual revenue for the first time in 2012, generating $38 billion the previous ...
Gaudiya Vaishnavism (IAST: Gauḍīya Vaiṣṇavasampradāyaḥ), also known as Chaitanya Vaishnavism, [1] [2] [note 1] is a Vaishnava Hindu religious movement inspired by Chaitanya Mahaprabhu (1486–1534) in India. [14] "
Based on results from the Gaia telescope's second data release from April 2018, an estimated 694 stars will approach the Solar System to less than 5 parsecs in the next 15 million years. Of these, 26 have a good probability to come within 1.0 parsec (3.3 light-years) and 7 within 0.5 parsecs (1.6 light-years). [31]