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It was independently discovered in 1900 by the Japanese chemist Jōkichi Takamine and his assistant Keizo Uenaka. [49] [50] 1896: Two proofs of the prime number theorem (the asymptotic law of the distribution of prime numbers) were obtained independently by Jacques Hadamard and Charles de la Vallée-Poussin and appeared the same year.
Multiple discoveries in the history of science provide evidence for evolutionary models of science and technology, such as memetics (the study of self-replicating units of culture), evolutionary epistemology (which applies the concepts of biological evolution to study of the growth of human knowledge), and cultural selection theory (which studies sociological and cultural evolution in a ...
[1] [2] It contains the now-famous sentence "Colorless green ideas sleep furiously", [3] which Chomsky offered as an example of a grammatically correct sentence that has no discernible meaning, thus arguing for the independence of syntax (the study of sentence structures) from semantics (the study of meaning). [4] [note 1]
The term “discovery science” encompasses various fields of study, including basic, translational, and computational science and research. [1] Discovery-based methodologies are commonly contrasted with traditional scientific practice, the latter involving hypothesis formation before experimental data is closely examined.
In the design of experiments, a between-group design is an experiment that has two or more groups of subjects each being tested by a different testing factor simultaneously. This design is usually used in place of, or in some cases in conjunction with, the within-subject design , which applies the same variations of conditions to each subject ...
In short, a sentence with one or more dependent clauses and at least one independent clause is a complex sentence. A sentence with two or more independent clauses plus one or more dependent clauses is called compound-complex or complex-compound. In addition to a subject and a verb, dependent clauses contain a subordinating conjunction or ...
Independent study is a form of education offered by many high schools, colleges, and other educational institutions. [1] It is sometimes referred to as directed study , and is an educational activity undertaken by an individual with little to no supervision. [ 2 ]
The question of whether this ideal is the sum of two properly smaller ideals is independent of ZFC, as was proved by Andreas Blass and Saharon Shelah in 1987. [ 22 ] Charles Akemann and Nik Weaver showed in 2003 that the statement "there exists a counterexample to Naimark's problem which is generated by ℵ 1 , elements" is independent of ZFC.