Research Article

Correlation Angles and Inner Products: Application to a Problem from Physics

Table 1

Date of various minima in plots of diameter 𝐷 = 𝑀 1 , 𝑎 or area 𝐴 = 𝑀 2 , 𝑎 . (Minima are identified with a change in the phase-locked state of the Earth's climate system).

Diameter D (from the 3 Pacific indices [1])Area 𝐴 (this paper)

11875-18761875-1876
21880-18811880-1881
31882–18841883-1884
41889–18911889
4a1892New
51894-18951894-1895
61897-18981897
6a1904New
71908-19091907-1908
81912-19131912-1913
91916-1917XNo minimum
1019191919
10a1925New
10b1928New
1119311931
121941–19451941The broad minimum in [1] has been resolved into two.
12a1944
12b1948New
12c1953New
12d1955New
131956–19591959
141964–19661965The minimum in [1] has been resolved into two.
14a1966
1519691968-1969
15a1972-73New
15b1974-75New
161976-19771976-77
16a1984-85New
171986-19871986-87
17a1991New
182001-20022001
Number of minima1830