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Hankel matrices are formed when, given a sequence of output data, a realization of an underlying state-space or hidden Markov model is desired. [3] The singular value decomposition of the Hankel matrix provides a means of computing the A , B , and C matrices which define the state-space realization. [ 4 ]
Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known for introducing the Hankel transform and the Hankel matrix .
Chapter 25, "A Note on Books", recommends several books for those interested in further reading on economics. He suggests some intermediate-length works, such as Frederic Benham's "Economics" and Raymond T. Bye's "Principles of Economics," as well as older books like Edwin Canaan's "Wealth" and John Bates Clark's "Essentials of Economic Theory."
In control theory, Hankel singular values, named after Hermann Hankel, provide a measure of energy for each state in a system. They are the basis for balanced model reduction, in which high energy states are retained while low energy states are discarded. The reduced model retains the important features of the original model.
Also called resource cost advantage. The ability of a party (whether an individual, firm, or country) to produce a greater quantity of a good, product, or service than competitors using the same amount of resources. absorption The total demand for all final marketed goods and services by all economic agents resident in an economy, regardless of the origin of the goods and services themselves ...
Let us define a price quasi-equilibrium with transfers as an allocation (,), a price vector p, and a vector of wealth levels w (achieved by lump-sum transfers) with = + (where is the aggregate endowment of goods and is the production of firm j) such that:
Some learning consultants claim reviewing material in the first 24 hours after learning information is the optimum time to actively recall the content and reset the forgetting curve. [8] Evidence suggests waiting 10–20% of the time towards when the information will be needed is the optimum time for a single review.
If y is a production vector and p is the economy's price vector, then p·y is the value of net output. The mill's owner will normally choose y from the production set to maximise this quantity. p·y is defined as the 'profit' of the vector y, and the mill-owner's behaviour is described as 'profit-maximising'. [1]