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Longer titles found: Cauchy principal value (view)

searching for Principal value 52 found (136 total)

Complex logarithm (4,472 words) [view diff] exact match in snippet view article find links to article

surface, and partial inverses of the complex exponential function. The principal value defines a particular complex logarithm function Log:C∗→C{\displaystyle

Greenhill Recreation Park (335 words) [view diff] exact match in snippet view article find links to article

largely introduced understorey of grasses, herbs and forbs" and its "principal value" is as "an excellent recreational lookout offering extensive views

Einstein synchronisation (2,134 words) [view diff] exact match in snippet view article find links to article

signals and recognized its fundamental role in relativity theory. Its principal value is for clocks within a single inertial frame. According to Albert Einstein's

Gwadar East Bay Expressway (333 words) [view diff] exact match in snippet view article find links to article

China's state owned banks. Pakistan will be required only to repay the principal value of the loan. As a condition for receiving a zero-interest rate loan

Inheritance tax (6,815 words) [view diff] exact match in snippet view article find links to article

succession duty. Successions of a husband or a wife, successions where the principal value is under £100, and individual successions under £20, are exempt from

Logarithm (11,494 words) [view diff] exact match in snippet view article find links to article

for the principal value of the complex logarithm for complex numbers z satisfying |z − 1| < 1. The same series holds for the principal value of the complex

Trigonometry (4,920 words) [view diff] exact match in snippet view article find links to article

Definition Domain of x for real result Range of usual principal value (radians) Range of usual principal value (degrees) arcsine y = arcsin(x) x = sin(y) −1 ≤

Turnford and Cheshunt Pits (709 words) [view diff] exact match in snippet view article find links to article

areas. Several pits have developed marsh and rank grassland, their principal value is for invertebrates, particularly an area close to Bowyer's Water

Equity-linked note (784 words) [view diff] exact match in snippet view article find links to article

embedded fee can be as high as 2.9%. Such fees may be deducted from the principal value of the note, in which case the investor would receive less than the

Vortex sheet (1,206 words) [view diff] exact match in snippet view article find links to article

s'}{z(s,t)-z(s',t)}}} The integral in the above equation is a Cauchy principal value integral. We now define Γ{\displaystyle \Gamma } as the integrated

Yield (finance) (1,332 words) [view diff] exact match in snippet view article

rate is the total amount of dividends paid in a year, divided by the principal value of the preferred share. The current yield is those same payments divided

Laguerre formula (445 words) [view diff] exact match in snippet view article find links to article

P_{1},P_{2})|} where: Log{\displaystyle \operatorname {Log} } is the principal value of the complex logarithm Cr{\displaystyle \operatorname {Cr} } is the

Collateralized mortgage obligation (4,478 words) [view diff] exact match in snippet view article find links to article

will be absorbed by the most junior class of bondholders until the principal value of their investment reaches zero. If this occurs, the next class of

Annals of Clonmacnoise (731 words) [view diff] exact match in snippet view article find links to article

similarities to the so-called Clonmacnoise-group of annalistic texts. The principal value of these Annals arises from the historical details given of these districts

Nature conservation (2,985 words) [view diff] exact match in snippet view article find links to article

outlooks guide conservationists towards these different goals. The principal value underlying many expressions of the conservation ethic is that the natural

Cube root (1,843 words) [view diff] exact match in snippet view article find links to article

whose argument has the least absolute value. It is related to the principal value of the natural logarithm by the formula x13=exp⁡(13ln⁡x).{\displaystyle

William Carmichael (diplomat) (547 words) [view diff] exact match in snippet view article

milieu was the world of European courts and high society, and his principal value to his native country was as an astute and well-informed observer of

Employees Provident Fund (Malaysia) (1,482 words) [view diff] exact match in snippet view article

revenue instruments, which produce lower returns but maintains the principal value of its members' contributions. This is due to the EPF primarily aimed

Complex plane (4,503 words) [view diff] exact match in snippet view article find links to article

deduced directly from the power series for ez. In particular, the principal value of log r, where |r| = 1, can be calculated without reference to any

Adamantane (4,215 words) [view diff] exact match in snippet view article find links to article

(centimeter-sized) single crystals and the ultrasonic echo technique. The principal value of the elasticity tensor, C11, was deduced as 7.52, 8.20, and 6.17

Rigid body (3,287 words) [view diff] exact match in snippet view article find links to article

component of the angular momentum is a product of a moment of inertia (a principal value of the inertia tensor) times the corresponding component of the angular

Branch point (2,677 words) [view diff] exact match in snippet view article find links to article

the branch cut. On each sheet, the value of the log differs from its principal value by a multiple of 2πi. These surfaces are glued to each other along

Massimo Guiggiani (926 words) [view diff] exact match in snippet view article find links to article

Antonio Gigante, helped in the development of the algorithm for Cauchy principal value integrals. The non-trivial extension to hypersingular integrals was

Culture of Argentina (5,176 words) [view diff] exact match in snippet view article find links to article

women, Women kiss men, and other men kiss men on the cheek. Another principal value for Argentines is the family. In Argentina, for example, it is prevalent

Particular values of the Riemann zeta function (3,253 words) [view diff] exact match in snippet view article find links to article

}(-1)^{k}{\frac {\zeta (k)-1}{k}}&=\ln 2+\gamma -1\end{aligned}}} and using the principal value ζ(k)=limε→0ζ(k+ε)+ζ(k−ε)2{\displaystyle \zeta (k)=\lim _{\varepsilon

Hyperfunction (1,905 words) [view diff] exact match in snippet view article find links to article

{1}{2\pi i}}\log(z)\right).} where log⁡(z){\displaystyle \log(z)} is the principal value of the complex logarithm of z. The Dirac delta "function" is represented

Jim Northrup (baseball) (2,294 words) [view diff] exact match in snippet view article

factor of 2.17 – well above the league average of 1.80. But Northrup's principal value was as a batter. In a year marked by dominant pitching throughout the

Foreign Claims Settlement Commission (1,499 words) [view diff] exact match in snippet view article find links to article

the Commission certified 5,911 claims as valid, with an aggregate principal value (i.e., not including interest) of over $1.8 billion. In cases where

Blackfoot Confederacy (10,587 words) [view diff] exact match in snippet view article find links to article

that he could give away. For the Indians who lived on the Plains, the principal value of property was to share it with others. After having driven the hostile

Acute pancreatitis (6,540 words) [view diff] exact match in snippet view article find links to article

(seen on basal cuts of the pleural cavity), adynamic ileus, etc. The principal value of CT imaging to the treating clinician is the capacity to identify

Real interest rate (2,119 words) [view diff] exact match in snippet view article find links to article

return bonds, also known as inflation-indexed bonds, in which the principal value and coupon rises each year with the rate of inflation, with the result

Integral equation (5,450 words) [view diff] exact match in snippet view article find links to article

is defined by a special regularisation, for example, by the Cauchy principal value. An Integro-differential equation, as the name suggests, combines differential

Finance lease (1,760 words) [view diff] exact match in snippet view article find links to article

Finance lease expenses are allocated between interest expense and principal value much like a bond or loan; therefore, in a statement of cash flows,

Julius Catlin (811 words) [view diff] exact match in snippet view article find links to article

the Cedar Hill Cemetery in Hartford. At the time of his death, the principal value of his estate was $726,000. Through his son Julius, he was the paternal

Landau damping (2,231 words) [view diff] exact match in snippet view article find links to article

{\omega }{k}}\right)} in which P{\displaystyle {\mathcal {P}}} signifies principal value, δ{\displaystyle \delta } is the delta function (see generalized function)

Joe Quest (2,035 words) [view diff] exact match in snippet view article find links to article

continued to under-perform offensively with a .207 batting average. His principal value remained in his defensive contributions. During the 1879 season, Quest

Prime number theorem (8,178 words) [view diff] exact match in snippet view article find links to article

ψ(x) does not converge absolutely but only conditionally and in a "principal value" sense. There are several ways around this problem but many of them

Airy function (3,620 words) [view diff] exact match in snippet view article find links to article

asymptotic formula for Ai(x) is still valid in the complex plane if the principal value of x2/3 is taken and x is bounded away from the negative real axis

Chebyshev polynomials (10,224 words) [view diff] exact match in snippet view article find links to article

y&=-\pi \,T_{n}(x)\end{aligned}}} where integrals are considered as principal value. Different approaches to defining Chebyshev polynomials lead to different

Principal component regression (4,836 words) [view diff] exact match in snippet view article find links to article

loading) corresponding to the jth{\displaystyle j^{\text{th}}} largest principal value λj{\displaystyle \lambda _{j}} for each j∈{1,…,p}{\displaystyle j\in

Inland waterways of the United States (2,226 words) [view diff] exact match in snippet view article find links to article

in Portland, Maine Kenduskeag Stream in Penobscot County, Maine A principal value of the inland waterways is their ability to efficiently convey large

Green's function (many-body theory) (4,114 words) [view diff] exact match in snippet view article

\omega ')}{\omega -\omega '}},} where P{\displaystyle P} denotes the principal value of the integral. The spectral density obeys a sum rule, ∫−∞∞dω2πρ(k

Dirichlet eta function (3,385 words) [view diff] exact match in snippet view article find links to article

to Lindelöf (1905), is valid over the whole complex plane, when the principal value is taken for the logarithm implicit in the exponential. η(s)=∫−∞∞(1/2+it)−seπt+e−πtdt

Gwadar Port (9,087 words) [view diff] exact match in snippet view article find links to article

interest loans for which Pakistan will only be required to repay the principal value. The projects which are now to financed by the 0% interest loans include:

History of inheritance taxes in the United Kingdom (4,002 words) [view diff] exact match in snippet view article find links to article

of the life interest in the succession, being instead based on the principal value of the property after deducting the liability for related estate duty

Telfairia pedata (859 words) [view diff] exact match in snippet view article find links to article

T.occidentalis. The fruits of Telfairia pedata are edible, but the principal value is found in the seeds (or "nuts") and the seeds' oil. The flavourful

Tirzah Garwood (1,587 words) [view diff] exact match in snippet view article find links to article

Online Magazine of Art and Art Books, "[Garwood's autobiography's] principal value is the light that it shines on the situation of a young female artist

List of formulae involving π (6,872 words) [view diff] exact match in snippet view article find links to article

}n\left((-1)^{1/n}-1\right)} (where Log {\displaystyle \operatorname {Log} } is the principal value of the complex logarithm) 1 − π 2 12 = lim n → ∞ 1 n 2 ∑ k = 1 n (

Grunsky matrix (5,733 words) [view diff] exact match in snippet view article find links to article

thus defines a unitary operator. It can also be defined directly as a principal value integral (Th)(w)=limε→0−1π∬|z−w|≥εh(z)(z−w)2dxdy.{\displaystyle (Th)(w)=\lim

Clive Ng (2,489 words) [view diff] exact match in snippet view article find links to article

company. In May 2008, China Cablecom issued convertible notes with a principal value of $43,175,000 along with 1,524,994 shares of ordinary shares to a

Planar Riemann surface (5,211 words) [view diff] exact match in snippet view article find links to article

1] removed onto the complex plane with (−∞,0] removed. Taking the principal value of the square root gives a conformal mapping of the extended sphere

Russia's War: Blood upon the Snow (545 words) [view diff] exact match in snippet view article find links to article

commentary will be found lacking analytical sophistication and its principal value lies in its extensive use of hitherto mainly unseen archival film and