Encyclopedia of Physical Science and Technology, Volume 2Academic Press, 1992 - Physical sciences |
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Page 12
... exists a constant C such that for any function f in Ck [ 0 , 1 ] satisfying f ' ≥ 0 and any integer n ≥ k + 1 inf { fp p ' ≥ 0 , p a polynomial of degree ≤ n } ≤ Cn ̄kw ( f ( k ) , n ̄1 ) ∞ 8 where w ( , n1 ) , denotes , as usual ...
... exists a constant C such that for any function f in Ck [ 0 , 1 ] satisfying f ' ≥ 0 and any integer n ≥ k + 1 inf { fp p ' ≥ 0 , p a polynomial of degree ≤ n } ≤ Cn ̄kw ( f ( k ) , n ̄1 ) ∞ 8 where w ( , n1 ) , denotes , as usual ...
Page 21
... exists a linear functional λ on πd such that - p ( x ) = Σ λ [ p ( · + a ) ] B ( x − a , aЄZ ' for all p E d . In fact , if we write [ B ( x , Xn ) ] - 1 = Σajxj where j = ( j1 , ... , j 、) , and x using the notation = الله Xn ) ...
... exists a linear functional λ on πd such that - p ( x ) = Σ λ [ p ( · + a ) ] B ( x − a , aЄZ ' for all p E d . In fact , if we write [ B ( x , Xn ) ] - 1 = Σajxj where j = ( j1 , ... , j 、) , and x using the notation = الله Xn ) ...
Page 576
... exists , by x + y . Thus , x ≤ x + y , y ≤ x + y , and if xz , y ≤ z then x + y ≤ z . Similarly x y ( or simply xy ) denotes the greatest lower bound of x and y if it exists . = · A nonempty poset P in which x + y and xy exist for ...
... exists , by x + y . Thus , x ≤ x + y , y ≤ x + y , and if xz , y ≤ z then x + y ≤ z . Similarly x y ( or simply xy ) denotes the greatest lower bound of x and y if it exists . = · A nonempty poset P in which x + y and xy exist for ...
Contents
Guide to Using the Encyclopedia ix Atomic Physics | 339 |
Approximations and Expansions 1 Atomic Spectrometry | 357 |
Archaeological Geology 31 Atomic Spectroscopy | 381 |
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