In the theory of differential forms, a differential ideal I is an algebraic ideal in the ring of smooth differential forms on a smooth manifold, in other...

in the ideal. The radical of a differential ideal is also a differential ideal. A radical or perfect differential ideal is a differential ideal that equals...

will not be zero, as it would be in the ideal case. A more realistic expression for the output of a differential amplifier thus includes a second term:...

ideal Differential geometry, exterior differential, or exterior derivative, is a generalization to differential forms of the notion of differential of...

on the integrability conditions for differential systems, in the case of analytic functions, for differential ideals I {\displaystyle I} . It is named for...

An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept...

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first...

shown that I(D) is closed under exterior differentiation (it is a differential ideal) if and only if D is involutive. Consequently, the Frobenius theorem...

the analogue in differential algebra of Hilbert's nullstellensatz. A differential ideal or ∂-ideal is an ideal closed under ∂. An ideal is called radical...

op amp or opamp) is a DC-coupled electronic voltage amplifier with a differential input, a (usually) single-ended output, and an extremely high gain. Its...

Least Significant Bit (LSB) apart. Differential non-linearity is a measure of the worst-case deviation from the ideal 1 LSB step. For example, a DAC with...

that if the ideal I {\displaystyle {\mathcal {I}}} algebraically generated by the collection of αi inside the ring Ω(M) is differentially closed, in other...

Differential privacy (DP) is a mathematically rigorous framework for releasing statistical information about datasets while protecting the privacy of individual...

In healthcare, a differential diagnosis (DDx) is a method of analysis that distinguishes a particular disease or condition from others that present with...

In mathematics, differential refers to several related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal...

contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations. Nash and fellow game theorists John Harsanyi...

In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The...

theorem in terms of differential forms: if I ⊂ Ω ∗ ( M ) {\displaystyle {\mathcal {I}}\subset \Omega ^{*}(M)} is the differential ideal generated by θ {\displaystyle...

In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced...

An ideal differential amplifier would have infinite CMRR, however this is not achievable in practice. A high CMRR is required when a differential signal...

dissolution is the differential heat of dissolution for obtaining an infinitely diluted solution. The enthalpy of mixing of an ideal solution is zero by...

fractional ideal of K containing OK. By definition, the different ideal δK is the inverse fractional ideal I−1: it is an ideal of OK. The ideal norm of δK...

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow...

single-input single-output, differential-input single-output, and differential-input differential-output (a.k.a. fully differential), however this article...

applications of the exterior algebra is in differential geometry where it is used to define the bundle of differential forms on a smooth manifold. In the case...

Electrical current affects the charge differential across a capacitor just as the flow of water affects the volume differential across a diaphragm. Just as capacitors...

right ideal if AS is a subset of A, and a left ideal if SA is a subset of A. If A is both a left ideal and a right ideal then it is called an ideal (or...

differential polynomial. A Picard–Vessiot ring R over the differential field F is a differential ring over F that is simple (no differential ideals other...

consider the zero locus of the algebraic ideal generated by the initial set of polynomials. When dealing with differential equations, apart from applying algebraic...

dilution can be defined from two perspectives: the differential heat and the integral heat. The differential heat of dilution is viewed on a micro scale, which...