Parole in English per '(mathematics) Any equation containing an eigenfunction'
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adj
- (mathematics, physics) Eigen-; designating a function or value which is an eigenfunction or eigenvalue.
- (algebraic geometry, of a morphism of schemes) Separated, of finite type, and universally closed.
- (usually postpositive) In the strict sense; within the strict definition or core (of a specified place, taxonomic order, idea, etc).
- (topology, of a function) Continuous, mapping closed sets to closed sets, and such that the preimage of every point is compact.
- (often postpositive) In the very strictest sense of the word.
- (mathematics) Being strictly part of some other thing (not necessarily explicitly mentioned, but of definitional importance), and not being the thing itself.
- Excellent, of high quality; such as the specific person or thing should ideally be. (Now often merged with later senses.)
- Belonging to oneself or itself; own.
- Following the established standards of behavior or manners; correct or decorous.
- Suited or acceptable to the purpose or circumstances; fit, suitable.
- (heraldry) Portrayed in natural or usual coloration, as opposed to conventional tinctures.
- (of a city or town) Including only the core areas while excluding surrounding suburbs
- (algebraic geometry, of a variety over a field k) Such that unique morphism from the variety to k is proper (as above).
- (mathematical analysis, of a metric space) Such that every closed ball is compact.
- (set theory, of a class) Not being a set.
- (now regional) Attractive, elegant.
- (grammar) Used to designate a particular person, place, or thing. Proper nouns are usually written with an initial capital letter.
- Pertaining exclusively to a specific thing or person; particular.
- (now colloquial) Utter, complete.
- (topology, of a function) Such that the preimage of every compact set is compact.
- appropriate for a condition or purpose or occasion or a person's character, needs
- limited to the thing specified
- marked by suitability or rightness or appropriateness
- having all the qualities typical of the thing specified
adv
noun
adj
- (mathematics, of an eigenvalue) Having multiple different (linearly independent) eigenvectors.
- (physics) Having the same quantum energy level.
- Having lost functionality in general.
- (of an encoding or function) Having multiple domain elements correspond to one element of the range.
- (of qualities) Having deteriorated, degraded or fallen from normal, coherent, balanced and desirable to undesirable and typically abnormal.
- (mathematics) Qualitatively different, usually simpler, than typical objects of its class.
- (of a person or system) Having lost good or desirable qualities; hence also having bad character or habits, base, immoral, corrupt. ABR
- unrestrained by convention or morality
noun
verb
adj
- (mathematics) an eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero.
- for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...
adj
adj
- (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
- for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...
adj
- (mathematics, in combination, of certain functions, equations and operators) That has coefficients satisfying a condition analogous to the condition for the general equation for a conic section to be of an ellipse.
- (mathematics) Of or pertaining to a broad field of mathematics that originates from the problem of calculating arc lengths of an ellipse.
- (botany, of leaves) Oval, with a short or no point.
- (linguistics) Of, or showing ellipsis; having a word or words omitted; elliptical.
- (geometry) Of or pertaining to an ellipse.
- (of a leaf shape) in the form of an ellipse
- rounded like an egg
- characterized by extreme economy of expression or omission of superfluous elements
noun
adj
- designating or involving an equation whose terms are not of the first degree
- Erratic and unpredictable; tending to jump back and forth.
- (mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
- (of a system) Whose output is not directly proportional to its input.
- (chemistry, of a molecule) Whose atoms do not lie in a straight line.
- (of a set of points) Not lying on a straight line.
noun
- That which issues, flows, or proceeds from any object as a source; efflux; an effluence.
- (theology) The generation of the Son and the procession of the Holy Spirit, as distinct from the origination of created beings.
- The act of flowing or proceeding (of something, quality, or feeling) from a source or origin.
- the act of emitting; causing to flow forth
- something that is emitted or radiated (as a gas or an odor or a light, etc.)
- (theology) the origination of the Holy Spirit at Pentecost
adj
- (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia
- (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
- (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
- Able to be separated.
- (mathematical analysis, of a topological space) Having a countable dense subset.
- capable of being divided or dissociated
noun
- That which issues, flows, or proceeds from any object as a source; efflux; an effluence.
- (theology) The generation of the Son and the procession of the Holy Spirit, as distinct from the origination of created beings.
- The act of flowing or proceeding (of something, quality, or feeling) from a source or origin.
- the act of emitting; causing to flow forth
- something that is emitted or radiated (as a gas or an odor or a light, etc.)
- (theology) the origination of the Holy Spirit at Pentecost
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adj
- (mathematics, physics) Eigen-; designating a function or value which is an eigenfunction or eigenvalue.
- (algebraic geometry, of a morphism of schemes) Separated, of finite type, and universally closed.
- (usually postpositive) In the strict sense; within the strict definition or core (of a specified place, taxonomic order, idea, etc).
- (topology, of a function) Continuous, mapping closed sets to closed sets, and such that the preimage of every point is compact.
- (often postpositive) In the very strictest sense of the word.
- (mathematics) Being strictly part of some other thing (not necessarily explicitly mentioned, but of definitional importance), and not being the thing itself.
- Excellent, of high quality; such as the specific person or thing should ideally be. (Now often merged with later senses.)
- Belonging to oneself or itself; own.
- Following the established standards of behavior or manners; correct or decorous.
- Suited or acceptable to the purpose or circumstances; fit, suitable.
- (heraldry) Portrayed in natural or usual coloration, as opposed to conventional tinctures.
- (of a city or town) Including only the core areas while excluding surrounding suburbs
- (algebraic geometry, of a variety over a field k) Such that unique morphism from the variety to k is proper (as above).
- (mathematical analysis, of a metric space) Such that every closed ball is compact.
- (set theory, of a class) Not being a set.
- (now regional) Attractive, elegant.
- (grammar) Used to designate a particular person, place, or thing. Proper nouns are usually written with an initial capital letter.
- Pertaining exclusively to a specific thing or person; particular.
- (now colloquial) Utter, complete.
- (topology, of a function) Such that the preimage of every compact set is compact.
- appropriate for a condition or purpose or occasion or a person's character, needs
- limited to the thing specified
- marked by suitability or rightness or appropriateness
- having all the qualities typical of the thing specified
adv
noun
adj
- (mathematics, of an eigenvalue) Having multiple different (linearly independent) eigenvectors.
- (physics) Having the same quantum energy level.
- Having lost functionality in general.
- (of an encoding or function) Having multiple domain elements correspond to one element of the range.
- (of qualities) Having deteriorated, degraded or fallen from normal, coherent, balanced and desirable to undesirable and typically abnormal.
- (mathematics) Qualitatively different, usually simpler, than typical objects of its class.
- (of a person or system) Having lost good or desirable qualities; hence also having bad character or habits, base, immoral, corrupt. ABR
- unrestrained by convention or morality
noun
verb
adj
- (mathematics) an eigenvalue problem that would be a positone eigenvalue problem except that the nonlinear function is not positive when its argument is zero.
- for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...
adj
adj
- (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
- for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone...
adj
- (mathematics, in combination, of certain functions, equations and operators) That has coefficients satisfying a condition analogous to the condition for the general equation for a conic section to be of an ellipse.
- (mathematics) Of or pertaining to a broad field of mathematics that originates from the problem of calculating arc lengths of an ellipse.
- (botany, of leaves) Oval, with a short or no point.
- (linguistics) Of, or showing ellipsis; having a word or words omitted; elliptical.
- (geometry) Of or pertaining to an ellipse.
- (of a leaf shape) in the form of an ellipse
- rounded like an egg
- characterized by extreme economy of expression or omission of superfluous elements
noun
adj
- designating or involving an equation whose terms are not of the first degree
- Erratic and unpredictable; tending to jump back and forth.
- (mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
- (of a system) Whose output is not directly proportional to its input.
- (chemistry, of a molecule) Whose atoms do not lie in a straight line.
- (of a set of points) Not lying on a straight line.
adj
- (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
- (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia
- (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
- (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
- Able to be separated.
- (mathematical analysis, of a topological space) Having a countable dense subset.
- capable of being divided or dissociated