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[10] [11] [12] As one moves from left-to-right across a period in the modern periodic table, the ionization energy increases as the nuclear charge increases and the atomic size decreases. The decrease in the atomic size results in a more potent force of attraction between the electrons and the nucleus. However, suppose one moves down in a group.
A (purely) periodic sequence (with period p), or a p-periodic sequence, is a sequence a 1, a 2, a 3, ... satisfying . a n+p = a n. for all values of n. [1] [2] [3] If a sequence is regarded as a function whose domain is the set of natural numbers, then a periodic sequence is simply a special type of periodic function.
This definition of periodicity can be extended to other geometric shapes and patterns, as well as be generalized to higher dimensions, such as periodic tessellations of the plane. A sequence can also be viewed as a function defined on the natural numbers, and for a periodic sequence these notions are defined accordingly.
1915 — William Ramsay, in his book The Gases of The Atmosphere, included a periodic table with a fold (or flap) that can be moved from page 220 to 221. [ 87 ] [ 88 ] 1950 — McCutchon published a short table in which the d- and f-blocks were depicted as folding flaps positioned on top of the s- and p-blocks.
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