Values along one branch of a multivalued function so that it is single-valued
For the use of the term principal value in describing improper integrals, see Cauchy principal value.
For the use of the term principal value for arcsines, arccosines, etc. , see Inverse trigonometric function § Principal value .
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In mathematics, specifically complex analysis, the principal values of a multivalued function are the values along one chosen branch of that function, so that it is single-valued. A simple case arises in taking the square root of a positive real number. For example, 4 has two square roots: 2 and −2; of these the positive root, 2, is considered the principal root and is denoted as
analysis, the principalvalues of a multivalued function are the values along one chosen branch of that function, so that it is single-valued. A simple case...
In mathematics, the Cauchy principalvalue, named after Augustin-Louis Cauchy, is a method for assigning values to certain improper integrals which would...
domain of definition of the principalvalue by analytic continuation. When possible, it is better to define the principalvalue directly—without referring...
generally best to assume that the principalvalue is intended. In particular, this gives a value consistent with the real value of ln z {\displaystyle \ln...
interest is calculated Principal (bond), the face value of a bond Principal Financial Group, a life insurance company Principal (computer security), an...
positive, the principalvalue of the complex logarithm is the natural logarithm: log z = ln z . {\displaystyle \log z=\ln z.} The principalvalue of z w...
iterated limit could be used or a single limit based on the Cauchy principalvalue. If f ( x ) {\displaystyle f(x)} is continuous on [ a , d ) {\displaystyle...
In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function. Most often, this applies to functions...
π , π ] {\displaystyle (-\pi ,\pi ]} , which is referred to as the principalvalue. The argument can be computed from the rectangular form x + yi by means...
arctangent if called with one argument. The function atan2 computes the principalvalue of the argument function applied to the complex number x + i y. That...
The notional amount (or notional principal amount or notional value) on a financial instrument is the nominal or face amount that is used to calculate...
Mittag-Leffler's theorem Cauchy principalvalue Laurent. 16 October 2016. ISBN 9781467210782. Retrieved 31 March 2016. Cauchy Principal Part at PlanetMath...
chosen by convention as the principalvalue; in the case of the square root the non-negative value is the principalvalue, but there is no guarantee that...
only to a single value, called its principalvalue. These properties apply to all the inverse trigonometric functions. The principal inverses are listed...
single-valued function from a complex multivalued function, one may distinguish one of the multiple values as the principalvalue, producing a single-valued...
interval for the principal arguments, then ak is called the principalvalue of the logarithm, denoted Log(z), again with a capital L. The principal argument of...
insurer Principal Financial: Bloomberg News". Reuters. February 22, 2021. Retrieved March 21, 2021. "Principal Financial Group Announces Shareholder Value Initiatives"...
In statistics, principal component regression (PCR) is a regression analysis technique that is based on principal component analysis (PCA). More specifically...
that the value of the property (in case of foreclosure) will be insufficient to cover the remaining principal of the loan. Since the value of the property...
of endowment principal + accumulated annuity payments, and thus the future value of this system can be computed simply via the future value formula: F V...
Principal photography is the phase of producing a film or television show in which the bulk of shooting takes place, as distinct from the phases of pre-production...
one obtains for the general value of the principal variable a function in which there appear, together with the principal variable, the roots of a certain...
arcsin(x) will evaluate only to a single value, called its principalvalue. The standard range of principalvalues for arcsin is from −π/2 to π/2 and the...
multiple valued versions. ln(r) is the standard natural logarithm of the real number r. Arg(z) is the principalvalue of the arg function; its value is restricted...
real variable H(u)(t). The Hilbert transform is given by the Cauchy principalvalue of the convolution with the function 1 / ( π t ) {\displaystyle 1/(\pi...
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