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In mathematics, the Riemann–Siegel theta function is defined in terms of the gamma function as = ((+)) for real values of t.Here the argument is chosen in such a way that a continuous function is obtained and () = holds, i.e., in the same way that the principal branch of the log-gamma function is defined.
There are several closely related functions called Jacobi theta functions, and many different and incompatible systems of notation for them. One Jacobi theta function (named after Carl Gustav Jacob Jacobi) is a function defined for two complex variables z and τ, where z can be any complex number and τ is the half-period ratio, confined to the upper half-plane, which means it has a positive ...
Equivalent potential temperature, commonly referred to as theta-e (), is a quantity that is conserved during changes to an air parcel's pressure (that is, during vertical motions in the atmosphere), even if water vapor condenses during that pressure change.
These first Heisler–Gröber charts were based upon the first term of the exact Fourier series solution for an infinite plane wall: (,) = = [ + ], [1]where T i is the initial uniform temperature of the slab, T ∞ is the constant environmental temperature imposed at the boundary, x is the location in the plane wall, λ is the root of λ * tan λ = Bi, and α is thermal diffusivity.
President Biden took a departing jab at Trump, saying that what the president-elect did was a "genuine threat to democracy.". Ahead of the anniversary of the Jan. 6, 2021, riot at the U.S. Capitol ...
Dick Vitale said he's cancer-free after his fourth bout with the disease in just over three years. The 85-year-old ESPN college basketball analyst announced Thursday on social media that he got ...
What Is A Celery Rib? A celery rib is one of the individual stems that make up the larger bunch of celery, or "stalk." In botanical terms, a rib is a single segment of the plant, and in culinary ...
where ¯ is the sample mean and ^ is the unbiased sample variance. Since the right hand side of the second equality exactly matches the characterization of a noncentral t -distribution as described above, T has a noncentral t -distribution with n −1 degrees of freedom and noncentrality parameter n θ / σ {\displaystyle {\sqrt {n}}\theta ...