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For example, it is not out of the ordinary to see an adult in business attire on a train, which is a regular method of commuting in Japan, reading a book of manga.
Since I is a regular method, ( Δ x n k ) is I-convergent to 0, so it is I-quasi-Cauchy.
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Hopefully one day the cost will be more reasonable and this will be a regular method of helping restore our historic landmarks.
Since the ordinary convergence implies ideal convergence, I is a regular sequential method [54].
Let us note that if P r → ∞ as r → ∞ then the Riesz transformation is a regular summability method, that is, it transforms every convergent sequence to convergent sequence and preserves the limit.
Let f be any I-sequentially continuous function at a point x 0. Since any proper admissible ideal is a regular subsequential method by Theorem 1, it follows from [57], Theorem 13, that f is continuous in the ordinary sense.
The initial reaction of 78% of the doctors interviewed was that ECPs should not be used more than once in one menstrual cycle because it is not a regular method of family planning: " It is an emergency pill".
We have the following result which states that any non-trivial admissible ideal I is a regular subsequential sequential method.
Theorem 2.1 Let N p be a regular Nörlund method defined by a sequence { p n } such that P τ ∑ ν = τ n P ν − 1 = O ( n + 1 ).
Fanta asks if she wants a regular method or whether it is an emergency.
Define g n, j = t n ( 1 − t n ) j. Then it follows that { q n, j } is a strongly regular summation method [28].
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