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In retrospect, perhaps the most important achievement of the IGY was its verification in 1958 of scientists' suggestion that there existed a continuous system of submarine mid-oceanic ridges that encircled the globe.
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According to the standard existence theory for ordinary differential equations there exists a continuous solution of this system, on some interval.
"Topologically equivalent," or homeomorphic, means that there exists a continuous one-to-one mapping, which is a generalization of the concept of a function, between two sets.
(i) There exists a continuous function : such that (2.19).
Hence, there exist a continuous seminorm and such that (4.4).
(Hkl Suppose there exists a continuous function such that.
(iii there exist a continuous function such that.
There exists a continuous function (d(t geq0) for a.e.
There exists a continuous impulse mapping (I: I(M =N).
For, is completely continuous and there exists a continuous nondecreasing function such that for each, (2.18).
They show that there exist a continuous chemical bonding across the Cu Cu2O system.
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