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According to inequality (3.2), ∫ 0 T ∗ ∥ u ∥ L ∞ 2 d τ is also finite.
In a similar way, one can easily prove that (5.71). is also finite.
Since (beta_{E}) is finite, therefore (alpha_{E}) is also finite.
For the same reason, the range of summation over the symbol time index n′ in (17) is also finite.
We will now show that the second sum is also finite using d'Alembert's ratio criterion for convergent series.
which, together with Theorem A, shows that f H a ( 2 ) ( P ) is finite and hence f H a ( P ) is also finite for any P ∈ C n.
Similar(42)
Not only can fertilisers damage the environment when used in excess - supplies of nitrogen and phosphorous are also finite.
But, unlike the combination of grants, loans and loan forgiveness that have been directed at Africa in the decades since, the Marshall Plan was also finite.
In Example 5.1, the set of strategy profiles is finite; and therefore, the ranges of the utility functions are also finite.
The theory of the hereditarily-finite sets, namely those finite sets whose elements are also finite sets, the elements of which are also finite, and so on, is formally equivalent to arithmetic.
Those energy sources are also finite, however, and stars end their lives either as cooling white dwarfs (after ejecting their outer layers in a relatively gentle process; Figure 1), or as neutron stars or black holes, after experiencing massive supernova explosions (Figure 2).
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