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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.
It is possible to have multiple independent variables or multiple dependent variables. For instance, in multivariable calculus, one often encounters functions of the form z = f(x,y), where z is a dependent variable and x and y are independent variables. [8] Functions with multiple outputs are often referred to as vector-valued functions.
Harris's ICA method involved continuously dividing a sentence into two immediate constituents, which can then be further subdivided until reaching the smallest meaningful units. Harris's work was foundational in the development of syntactic theory, and his ICA approach set the stage for later advancements in generative grammar (Harris 1955, pg ...
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 ...
This simple sentence has one independent clause which contains one subject, dog, and one predicate, barked and howled at the cat. This predicate has two verbs, known as a compound predicate: barked and howled. (This should not be confused with a compound sentence.) In the backyard and at the cat are prepositional phrases.
Factorization is one of the most important methods for expression manipulation for several reasons. If one can put an equation in a factored form E⋅F = 0, then the problem of solving the equation splits into two independent (and generally easier) problems E = 0 and F = 0. When an expression can be factored, the factors are often much simpler ...
A complex sentence contains an independent clause and at least one dependent clause. A sentence with two or more independent clauses plus (one or more) dependent clauses is referred to as a compound-complex sentence. (Every clause contains a subject and predicate.) Here are some English examples: My sister cried because she scraped her knee ...
A commenter of Dante puts further thought into this game: the thought was that with three dice, the lowest number you can get is three, an ace for every die. Achieving a four can be done with three dice by having a two on one die and aces on the other two dice. [8] Cardano also thought about the sum of three dice. At face value there are the ...