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In ecological theory, the Hutchinson's ratio is the ratio of the size differences between similar species when they are living together as compared to when they are isolated. It is named after G. Evelyn Hutchinson who concluded that various key attributes in species varied according to the ratio of 1:1.1 to 1:1.4.
In ecological theory, the Hutchinson's ratio is the ratio of the size differences between similar species when they are living together as compared to when they are isolated. It is named after G. Evelyn Hutchinson who concluded that various key attributes in species varied according to the ratio of 1:1.1 to 1:1.4.
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A.
The duality gap is zero if and only if strong duality holds. Otherwise the gap is strictly positive and weak duality holds. [5] In computational optimization, another "duality gap" is often reported, which is the difference in value between any dual solution and the value of a feasible but suboptimal iterate for the primal problem.
Let G be a module over a principal ideal domain R (e.g., Z or a field.). There is also a universal coefficient theorem for cohomology involving the Ext functor, which asserts that there is a natural short exact sequence
Hutchinson's system was one of the most influential revisions of taxonomy in the early twentieth century. Hutchinson is known for his 24 dicta on the classification of flowering plants. A key feature of his third edition in 1973 was based on the habit of the plant, namely that herbaceous plants or Herbaceae are phylogenetically more recent than ...
For nearly three decades, the person behind the brutal murder of a 15-year-old girl found in a Montana river in 1996 remained a mystery. After a breakthrough using modern DNA testing, a suspect ...
In mathematics, in the study of fractals, a Hutchinson operator [1] is the collective action of a set of contractions, called an iterated function system. [2] The iteration of the operator converges to a unique attractor , which is the often self-similar fixed set of the operator.