Search results
Results From The WOW.Com Content Network
The Riemann zeta function ζ(z) plotted with domain coloring. [1] The pole at = and two zeros on the critical line.. The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (), is a mathematical function of a complex variable defined as () = = = + + + for >, and its analytic continuation elsewhere.
The relation between the sigma, zeta, and ℘ functions is analogous to that between the sine, cotangent, and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative the squared cosecant.
the Riemann zeta function and other zeta functions in mathematics; the damping ratio; the value for the Zeta potential, i.e., the electrical potential at the slipping plane, used often in colloidal chemistry
The letter sigma, in standard orthography, has two variants: ς, used only at the ends of words, and σ, used elsewhere. The form ϲ ("lunate sigma", resembling a Latin c) is a medieval stylistic variant that can be used in both environments without the final/non-final distinction.
The Riemann zeta function is defined for complex s with real part greater than 1 by the absolutely convergent infinite series = = = + + +Leonhard Euler considered this series in the 1730s for real values of s, in conjunction with his solution to the Basel problem.
GM debuted Sigma II with the 2008 Cadillac CTS. While sharing the previous 113.4-inch wheelbase, the platform was longer and wider than the previous generation. Remaining exclusive to the Cadillac division, the design adopted a greater degree of parts sharing with the Australian-designed Zeta platform.
The zeta function values listed below include function values at the negative even numbers (s = −2, −4, etc.), for which ζ(s) = 0 and which make up the so-called trivial zeros. The Riemann zeta function article includes a colour plot illustrating how the function varies over a continuous rectangular region of the complex plane.
Sigma (/ ˈ s ɪ ɡ m ə / SIG-mə; [1] uppercase Σ, lowercase σ, lowercase in word-final position ς; Ancient Greek: σίγμα) is the eighteenth letter of the Greek alphabet. In the system of Greek numerals , it has a value of 200.