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searching for Dirac delta function 23 found (340 total)

Kicked rotator (3,818 words) [view diff] exact match in snippet view article find links to article

the kicking period and δ {\displaystyle \textstyle \delta } is the Dirac delta function. The equations of motion of the kicked rotator write d θ d t = ∂

List of types of functions (1,407 words) [view diff] exact match in snippet view article find links to article

Generalized function: a wide generalization of Dirac delta function, able to describe white noise etc. Dirac delta function: useful to describe physical phenomena

Riemann–Lebesgue lemma (961 words) [view diff] exact match in snippet view article find links to article

lemma does not hold for arbitrary distributions. For example, the Dirac delta function distribution formally has a finite integral over the real line, but

Borel measure (1,336 words) [view diff] exact match in snippet view article find links to article

where μ is a probability measure or, even more specifically, the Dirac delta function. In operational calculus, the Laplace transform of a measure is often

Method of fundamental solutions (1,175 words) [view diff] exact match in snippet view article find links to article

{\displaystyle L\phi =\delta \,} where δ {\displaystyle \delta } denotes Dirac delta function, and α i {\displaystyle {{\alpha }_{i}}} are the unknown coefficients

Kramers–Moyal expansion (2,421 words) [view diff] exact match in snippet view article find links to article

^{(n)}(x-x_{0})\mu _{n}(t|x_{0},t_{0})} Now we need to integrate away the Dirac delta function. Fixing a small τ > 0 {\displaystyle \tau >0} , we have by the Chapman-Kolmogorov

Discrete Chebyshev polynomials (1,207 words) [view diff] exact match in snippet view article find links to article

_{r=0}^{N-1}\delta (x-r),} with δ ( ⋅ ) {\displaystyle \delta (\cdot )} being the Dirac delta function. That is, ∫ − ∞ ∞ t n N ( x ) t m N ( x ) w ( x ) d x = 0 if n

Graviton (2,343 words) [view diff] exact match in snippet view article find links to article

short biography of Paul A. M. Dirac and historical development of Dirac delta function". International Journal of Mathematical Education in Science and

Mattis–Bardeen theory (1,023 words) [view diff] exact match in snippet view article find links to article

is concentrated in the zero frequency limit, corresponding to the dirac delta function (which covers the conduction of the superconducting condensate, i

Holstein–Herring method (1,977 words) [view diff] exact match in snippet view article find links to article

and only the surface integral of the numerator need be considered. Dirac delta function model (1-D version of H2+) Exchange interaction Exchange symmetry

Havriliak–Negami relaxation (1,186 words) [view diff] exact match in snippet view article find links to article

}(-(t/\tau )^{\alpha }),} where δ ( t ) {\displaystyle \delta (t)} is the Dirac delta function and E α , β γ ( z ) = 1 Γ ( γ ) ∑ k = 0 ∞ Γ ( γ + k ) z k k ! Γ (

Soliton (4,513 words) [view diff] no match in snippet view article find links to article

of the Born–Infeld model still carries a source in the form of a Dirac-delta function at the origin. As a consequence it displays a singularity in this

Jerk (physics) (4,223 words) [view diff] exact match in snippet view article

situations. Jump-discontinuity in acceleration can be modeled using a Dirac delta function in jerk, scaled to the height of the jump. Integrating jerk over

Unified framework (1,548 words) [view diff] exact match in snippet view article find links to article

(2005) used assumed modes and modeled the crack mathematically as a Dirac delta function. Wang and Qiao (2007) approximated the modal displacements using

Lambert W function (12,429 words) [view diff] exact match in snippet view article find links to article

provides an exact solution to the quantum-mechanical double-well Dirac delta function model for equal charges—a fundamental problem in physics. Prompted

Bussgang theorem (3,411 words) [view diff] exact match in snippet view article find links to article

(y_{1})\delta (y_{2})} where δ ( ) {\displaystyle \delta ()} is the Dirac delta function. Substituting into Price's Theorem, we obtain, ∂ E ( sign ( y 1 )

Convolution (8,799 words) [view diff] exact match in snippet view article find links to article

Schwartz function, then τxf is the convolution with a translated Dirac delta function τxf = f ∗ τx δ. So translation invariance of the convolution of Schwartz

Dihydrogen cation (3,639 words) [view diff] case mismatch in snippet view article find links to article

produce the ion.[citation needed] Symmetry of diatomic molecules Dirac Delta function model (one-dimensional version of H+ 2) Di-positronium Euler's three-body

Gravitational wave (12,709 words) [view diff] exact match in snippet view article find links to article

short biography of Paul A.M. Dirac and historical development of Dirac delta function". International Journal of Mathematical Education in Science and

Feynman diagram (15,967 words) [view diff] exact match in snippet view article find links to article

\delta _{D}(k_{d})\,} where δD(k) is the ordinary one-dimensional Dirac delta function. This convention for delta-functions is not universal—some authors

Timeline of gravitational physics and relativity (15,085 words) [view diff] exact match in snippet view article find links to article

short biography of Paul A. M. Dirac and historical development of Dirac delta function". International Journal of Mathematical Education in Science and

Spike response model (3,771 words) [view diff] exact match in snippet view article find links to article

is the firing time of the neuron and the Greek delta denotes the Dirac delta function. Whenever the voltage reaches the firing threshold the voltage is

Kaniadakis statistics (5,083 words) [view diff] no match in snippet view article find links to article

_{w_{3}}^{+\infty }dw_{2}\int _{w_{2}}^{+\infty }dw_{1}\,F_{\kappa }(w_{1})} Dirac delta-function δ ( t − τ ) {\displaystyle \delta (t-\tau )} [ exp κ ⁡ ( − τ ) ]