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In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve
Polynomial and rational function modeling
Polynomial_and_rational_function_modeling
Ratio of polynomial functions
fractions of the ring of the polynomial functions over K. A function f {\displaystyle f} is called a rational function if it can be written in the form
Rational_function
Statistics concept
Curve fitting Line regression Local polynomial regression Polynomial and rational function modeling Polynomial interpolation Response surface methodology
Polynomial_regression
Measure of algorithmic complexity
science, a polynomial-time algorithm is – generally speaking – an algorithm whose running time is upper-bounded by some polynomial function of the input
Strongly-polynomial_time
degree polynomial. Quartic function: Fourth degree polynomial. Quintic function: Fifth degree polynomial. Rational functions: A ratio of two polynomials. nth
List of mathematical functions
List_of_mathematical_functions
Statistical approach
designs Plackett–Burman design Polynomial and rational function modeling Polynomial regression Probabilistic design Surrogate model Bayesian Optimization Karmoker
Response_surface_methodology
Method of representing curves and surfaces in computer graphics
mathematical formulae) and modeled shapes. It is a type of curve modeling, as opposed to polygonal modeling or digital sculpting. NURBS curves are commonly used in
Non-uniform_rational_B-spline
Mathematical function defined piecewise by polynomials
spline is a function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation
Spline_(mathematics)
Statistical function that defines the quantiles of a probability distribution
used. Thorough composite rational and polynomial approximations have been given by Wichura and Acklam. Non-composite rational approximations have been
Quantile_function
Theoretical framework
conceptual modeling techniques and methods include: workflow modeling, workforce modeling, rapid application development, object-role modeling, and the Unified
Conceptual_model
Algebraic encoding of graph connectivity
The Tutte polynomial, also called the dichromate or the Tutte–Whitney polynomial, is a graph polynomial. It is a polynomial in two variables which plays
Tutte_polynomial
Mathematical approximation of a function
series is a polynomial of degree n that is called the nth Taylor polynomial of the function. Taylor polynomials are approximations of a function, which become
Taylor_series
Algebraic structure with addition, multiplication, and division
as fields of rational functions, algebraic function fields, algebraic number fields, finite fields, and p-adic fields are commonly used and studied in mathematics
Field_(mathematics)
Function used as a performance test problem for optimization algorithms
obtained by setting the gradient of the function equal to zero, noticing that the resulting equation is a rational function of x {\displaystyle x} . For small
Rosenbrock_function
Method for estimating new data within known data points
interpolants. Polynomial interpolation is a generalization of linear interpolation. Note that the linear interpolant is a linear function. We now replace
Interpolation
Mathematical function
{\displaystyle 1\leq x\leq 3} and to evaluate the Chebyshev series there. The digamma function has values in closed form for rational numbers, as a result of
Digamma_function
Representation on functions in computer engineering
visualization Data model Enterprise modeling Functional Software Architecture Multilevel Flow Modeling Polynomial function model Rational function model Scientific
Function_model
Curve defined as zeros of polynomials
ideal Function field of an algebraic variety Function field (scheme theory) Genus (mathematics) Polynomial lemniscate Quartic plane curve Rational normal
Algebraic_curve
Mathematical idealization of the surface of a body
not well defined, as, for example, a polynomial with rational coefficients may also be considered as a polynomial with real or complex coefficients. Therefore
Surface_(mathematics)
Mathematical formula involving a given set of operations
antiderivative. For rational functions; that is, for fractions of two polynomial functions; antiderivatives are not always rational fractions, but are
Closed-form_expression
Form of interpolation
solution of differential and integral equations are based on polynomial interpolation. The technique of rational function modeling is a generalization that
Polynomial_interpolation
Economic model of personal preferences
the choices of a rational person choices are guided by a preference relation, which can usually be described by a utility function. When faced with several
Random_utility_model
Expression of polynomials as sum of squares
definite rational functions as sums of quotients of squares. The original question may be reformulated as: Given a multivariate polynomial that takes
Hilbert's_seventeenth_problem
Number with a real and an imaginary part
field of rational numbers Q {\displaystyle \mathbb {Q} } (the polynomial x2 − 2 does not have a rational root, because √2 is not a rational number) nor
Complex_number
'Best' approximation of a function by a rational function of given order
Padé approximant is the "best" approximation of a function near a specific point by a rational function of given order. Under this technique, the approximant's
Padé_approximant
Problem in combinatorial optimization
rational numbers. However, in the case of rational weights and profits it still admits a fully polynomial-time approximation scheme. The NP-hardness
Knapsack_problem
2.71828...; base of natural logarithms
transcendental, meaning that it is not a root of any non-zero polynomial with rational coefficients. To 30 decimal places, the value of e is: 2
E_(mathematical_constant)
2005 book reformulating plane geometry
rational functions of those coordinates, and can be calculated directly without the need to take the square roots or inverse trigonometric functions required
Divine Proportions: Rational Trigonometry to Universal Geometry
Divine_Proportions:_Rational_Trigonometry_to_Universal_Geometry
Polynomial equation of degree two
that are non-negative integers, and therefore it is a polynomial equation. In particular, it is a second-degree polynomial equation, since the greatest power
Quadratic_equation
Subexponential bound in computational complexity
In theoretical computer science, a function f ( n ) {\displaystyle f(n)} is said to exhibit quasi-polynomial growth when it has an upper bound of the
Quasi-polynomial_growth
Number divisible only by 1 and itself
f(3),\dots } . A polynomial must meet the conditions that its leading coefficient is positive, it is irreducible over the rationals, and the value of such
Prime_number
Family of power series in mathematics
coefficients indexed by n is a rational function of n. The series, if convergent, defines a generalized hypergeometric function, which may then be defined
Generalized hypergeometric function
Generalized_hypergeometric_function
integers of a number field to the field's Dedekind zeta function. Casas-Alvero conjecture: if a polynomial of degree d {\displaystyle d} defined over a field
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Mathematical formula expressing equality
{1}{7}}} is a multivariate polynomial equation over the rational numbers. Some polynomial equations with rational coefficients have a solution that
Equation
Concepts from linear algebra
the left-hand side of equation (3) is a polynomial function of the variable λ and the degree of this polynomial is n, the order of the matrix A. Its coefficients
Eigenvalues_and_eigenvectors
Type of analog linear filter in electronics
_{n}(x)} . The transfer function of the Bessel filter is a rational function whose denominator is a reverse Bessel polynomial, such as the following:
Bessel_filter
Function equal to the product of its values on coprime factors
(f)\lambda (g)} whenever f and g are relatively prime. Let h be a polynomial arithmetic function (i.e. a function on set of monic polynomials over A). Its corresponding
Multiplicative_function
Branch of mathematics
carries. A function f : An → A1 is said to be polynomial (or regular) if it can be written as a polynomial, that is, if there is a polynomial p in k[x1
Algebraic_geometry
Approximating an arbitrary function with a well-behaved one
known functions (for example, special functions) can be approximated by a specific class of functions (for example, polynomials or rational functions) that
Function_approximation
Computation model defining an abstract machine
algorithm runs in polynomial time in the arithmetic model, and in addition, the binary length of all involved numbers is polynomial in the length of the
Turing_machine
Extension of the factorial function
the rational function into linear expressions. If P {\displaystyle P} and Q {\displaystyle Q} are monic polynomials of degree m {\displaystyle m} and n
Gamma_function
Geometry of the location of polynomial roots
roots of a polynomial with rational coefficients are conjugate (that is, invariant) under the action of the Galois group of the polynomial. However, this
Geometrical properties of polynomial roots
Geometrical_properties_of_polynomial_roots
Spline function
fundamental building block for all spline functions of that degree. A B-spline is defined as a piecewise polynomial of order n {\displaystyle n} , meaning
B-spline
Finding values for variables that make an equation true
example, the polynomial equation 2 x 5 − 5 x 4 − x 3 − 7 x 2 + 2 x + 3 = 0 {\displaystyle 2x^{5}-5x^{4}-x^{3}-7x^{2}+2x+3=0\,} has as rational solutions
Equation_solving
Techniques for creating complex surfaces in 3D graphics software
freeform surfaces (and curves) are not stored or defined in CAD software in terms of polynomial equations, but by their poles, degree, and number of patches
Freeform_surface_modelling
Mathematical function, denoted exp(x) or e^x
y} value. The function ez is a transcendental function, which means that it is not a root of a polynomial over the field of the rational fractions C (
Exponential_function
Poly-Weibull distribution Polychoric correlation Polynomial and rational function modeling Polynomial chaos Polynomial regression Polytree (Bayesian networks)
List_of_statistics_articles
List of unsolved computational problems
factorization be done in polynomial time on a classical (non-quantum) computer? Can the discrete logarithm be computed in polynomial time on a classical (non-quantum)
List of unsolved problems in computer science
List_of_unsolved_problems_in_computer_science
Polynomial sequence
\cos(m\,\varphi )\!} (even function over the azimuthal angle φ {\displaystyle \varphi } ), and the odd Zernike polynomials are defined as Z n − m ( ρ
Zernike_polynomials
Function used in signal processing
signal processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued
Window_function
Model of computation over real numbers
an arbitrary rational function (a quotient of two polynomial functions with arbitrary real coefficients); registers r {\displaystyle r} and w {\displaystyle
Blum–Shub–Smale_machine
Mathematical concept
outcome for polynomial computability with relative error. An algorithm that, for every given rational number η > 0, successfully computes a rational number
Approximation_error
Probability distribution
standard normal cumulative distribution function using Hart's algorithms and approximations with Chebyshev polynomials. Dia (2023) proposes the following approximation
Normal_distribution
algebra over a field. The set of polynomials with coefficients in F is a vector space over F, denoted F[x]. Vector addition and scalar multiplication are defined
Examples_of_vector_spaces
Association of one output to each input
two polynomial functions, and their domain is the real numbers with a finite number of them removed to avoid division by zero. The simplest rational function
Function_(mathematics)
Number representing a continuous quantity
numbers that are roots of polynomials with rational coefficients are algebraic numbers, which include all the rational numbers and also irrational numbers
Real_number
Number, approximately 1.618
golden ratio is a root of a polynomial with rational coefficients, it is an algebraic number. Its minimal polynomial, the polynomial of lowest degree with integer
Golden_ratio
Generating function in integrable systems
determinant whose entries are either specific polynomial or quasi-polynomial functions, or parametric integrals, and their derivatives; 5) the Pfaffian of a
Tau function (integrable systems)
Tau_function_(integrable_systems)
Algebraic study of differential equations
derivations. A natural example of a differential field is the field of rational functions in one variable over the complex numbers, C ( t ) , {\displaystyle
Differential_algebra
Abstract algebra concept
field of fractions of the one-variable polynomial ring k [ t ] {\displaystyle k[t]} is the rational function field k ( t ) {\displaystyle k(t)} . For
Field_of_fractions
Abstraction of linear independence of vectors
invariant. The Tutte polynomial is the most general such invariant; that is, the Tutte polynomial is a Tutte–Grothendieck invariant and every such invariant
Matroid
Fraction with denominator a power of two
dyadic rational or binary rational is a number that can be expressed as a fraction whose denominator is a power of two. For example, 1/2, 3/2, and 3/8 are
Dyadic_rational
Polynomial with integer value for integer input
polynomial ring Q [ t ] {\displaystyle \mathbb {Q} [t]} of polynomials with rational number coefficients, the subring of integer-valued polynomials is
Integer-valued_polynomial
Computational problem in graph theory
pseudo-polynomial and weakly polynomial is that a pseudo-polynomial bound may be polynomial in U {\displaystyle U} , but for a weakly polynomial bound
Maximum_flow_problem
Multivalued function in mathematics
their subdomains. With higher degree polynomials in these rational functions the method can approximate the W function more accurately. For example, when
Lambert_W_function
Pattern defining an infinite sequence of numbers
the characteristic polynomial t 2 = t + 1 {\displaystyle t^{2}=t+1} ; the generating function of the sequence is the rational function t 1 − t − t 2 . {\displaystyle
Recurrence_relation
Type of artificial neural network architecture
stable function representation. Rational function: Useful for approximating functions with singularities or sharp variations, as they can model asymptotic
Kolmogorov–Arnold_Networks
Area of mathematical logic
variable express Boolean combinations of polynomial equations in one variable, and since a nontrivial polynomial equation in one variable has only a finite
Model_theory
rational approximation Polynomial and rational function modeling — comparison of polynomial and rational interpolation Wavelet Continuous wavelet Transfer
List of numerical analysis topics
List_of_numerical_analysis_topics
Algorithmic runtime requirements for common math procedures
two polynomials of degree at most n {\displaystyle n} . Many of the methods in this section are given in Borwein & Borwein. The elementary functions are
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Sequence of data points over time
known functions (for example, special functions) can be approximated by a specific class of functions (for example, polynomials or rational functions) that
Time_series
Algebraic curve
root, rather than a square root, of a polynomial. The definition by quadratic extensions of the rational function field works for fields in general except
Hyperelliptic_curve
Functions of an angle
cyclotomic polynomials are cyclic. For an angle which, expressed in degrees, is not a rational number, then either the angle or both the sine and the cosine
Trigonometric_functions
Study of mathematical knots
A knot polynomial is a knot invariant that is a polynomial. Well-known examples include the Jones polynomial, the Alexander polynomial, and the Kauffman
Knot_theory
Class of mathematical functions
unit circle, there exists a (non-rational) parameterization using the sine function and its derivative the cosine function: ψ : R / 2 π Z → K , t ↦ ( sin
Weierstrass_elliptic_function
Method for solving quadratic equations
algebra, completing the square is a technique for converting a quadratic polynomial of the form a x 2 + b x + c {\displaystyle \textstyle ax^{2}+bx+c}
Completing_the_square
Periodic recurrence of the quantum wave function
the Poincaré recurrence time. While the rational numbers are dense in real numbers, and the arbitrary function of the quantum number can be approximated
Quantum_revival
Algebraic structure
for factoring polynomials over the integers or the rational numbers. At least for this reason, every computer algebra system has functions for factoring
Finite_field
Plane algebraic curve
curve can be difficult. As a polynomial in x with coefficients in Z[y], it has degree ψ(n), where ψ is the Dedekind psi function. Since Φn(x, y) = Φn(y, x)
Classical_modular_curve
Differential equation that is linear with respect to the unknown function
and computing them if any. The solutions of homogeneous linear differential equations with polynomial coefficients are called holonomic functions. This
Linear_differential_equation
Field of algebraic geometry
are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles. A rational map from one
Birational_geometry
System where changes of output are not proportional to changes of input
unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which
Nonlinear_system
Mathematical concept
rational functions gives more rational functions, and the quotient rule shows that the derivative of rational function is again a rational function,
Hardy_field
Symbolic description of a mathematical object
polynomials are used to compute function approximations using Taylor polynomials. In cryptography and hash tables, polynomials are used to compute k-independent
Expression_(mathematics)
Scientific area at the interface between computer science and mathematics
may be tested only on some classes of expressions such as the polynomials and rational fractions. To test the equality of two expressions, instead of
Computer_algebra
Science of characterizing uncertainties
not specify the distribution function uniquely), or more recently, by techniques such as Karhunen–Loève and polynomial chaos expansions. To evaluate
Uncertainty_quantification
Square matrices satisfy their characteristic equation
{\displaystyle p_{A}(A)} is a constant rather than a function.) The Cayley–Hamilton theorem states that this polynomial expression is equal to the zero matrix, which
Cayley–Hamilton_theorem
Fractal named after mathematician Benoit Mandelbrot
behavior of the polynomial (when it is iterated repeatedly) changes drastically. The Mandelbrot set is a compact set, since it is closed and contained in
Mandelbrot_set
Data-driven algorithm
candidate functions of the columns of X {\displaystyle {\textbf {X}}} is constructed, which may be constant, polynomial, or more exotic functions (like trigonometric
Sparse identification of non-linear dynamics
Sparse_identification_of_non-linear_dynamics
Operation on mathematical functions
two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘
Function_composition
Injective polynomial functions are bijective
given as this special case: If P {\displaystyle P} is an injective polynomial function from an n {\displaystyle n} -dimensional complex vector space to
Ax–Grothendieck_theorem
Finite extension of the rationals
A polynomial with this property is known as a monic polynomial. In general it will have rational coefficients. If, however, the monic polynomial's coefficients
Algebraic_number_field
Pseudorandom number generator
for T {\displaystyle T} an invertible matrix, and therefore the analysis of characteristic polynomial mentioned below still holds. As with A {\displaystyle
Mersenne_Twister
Möbius transformation generalized to rings other than the complex numbers
more generally, belong to an integral domain), z is supposed to be a rational number (or to belong to the field of fractions of the integral domain.
Linear fractional transformation
Linear_fractional_transformation
Iterative method for minimizing convex functions
enclosing a minimizer of a convex function. When specialized to solving feasible linear optimization problems with rational data, the ellipsoid method is
Ellipsoid_method
Curve used in computer graphics and related fields
a weighted Bernstein-form Bézier curve and the denominator is a weighted sum of Bernstein polynomials. Rational Bézier curves can, among other uses, be
Bézier_curve
Thue equation. Stronger results are known. For a given polynomial f with rational coefficients and at least two distinct roots, the above equation has only
Superelliptic_curve
Function that preserves distinctness
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct
Injective_function
Abelian group
y^{2}=x(x-6)(x+6)} over the rational numbers. It has discriminant Δ E = 2 12 ⋅ 3 6 {\displaystyle \Delta _{E}=2^{12}\cdot 3^{6}} (and this polynomial can be used to
Mordell–Weil_group
Stability criterion in control theory
the product G ( s ) H ( s ) {\displaystyle G(s)H(s)} is a rational polynomial function and may be expressed as G ( s ) H ( s ) = K ( s + z 1 ) ( s + z
Root_locus_analysis
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
English and German
English and German : nickname for someone with a deformed hand or who had lost one hand, from Middle English hand, Middle High German hant, found in such appellations as Liebhard mit der Hand (Augsburg 1383).Jewish (Ashkenazic) : nickname from German Hand ‘hand’ (see 1).Irish : Anglicized form of Gaelic Ó Flaithimh (see Guthrie), resulting from an erroneous association of the Gaelic name with the Gaelic word lámh ‘hand’. It is used as an English equivalent for several other names of Gaelic origin too, e.g. Claffey, Glavin, and McClave.Dutch : from a variant of hont ‘dog’, ‘hound’, either a derogatory nickname, or a habitational name for someone living at a house distinguished by the sign of a dog.
Boy/Male
Indian
Friction
Girl/Female
Australian, Dutch
Loving and Musical
Male
English
Unisex pet form of English Andrew and Andrea, ANDY means "man; warrior."
Boy/Male
Tamil
Rational
Boy/Male
Hindu
Rational
Boy/Male
Tamil
Rational
Female
Serbian
(Bulgarian and Serbian Ðна): Bulgarian and Serbian form of Greek Hanna, ANA means "favor; grace."
Female
Finnish
Estonian and Finnish pet form of Greek Hanna, ANU means "favor; grace."
Surname or Lastname
English and German
English and German : topographic name from Old English land, Middle High German lant, ‘land’, ‘territory’. This had more specialized senses in the Middle Ages, being used to denote the countryside as opposed to a town or an estate.English : topographic name for someone who lived in a forest glade, Middle English, Old French la(u)nde, or a habitational name from Launde in Leicestershire or Laund in West Yorkshire, which are named with this word.Norwegian : habitational name from any of three farmsteads so named, from Old Norse land ‘land’, ‘territory’ (see 1 above).
Boy/Male
Hindu
Rational
Boy/Male
Hindu, Indian, Tamil
Revolving; Pearl
Surname or Lastname
English, Scottish, Danish, Norwegian, Swedish, German, and Jewish (Ashkenazic)
English, Scottish, Danish, Norwegian, Swedish, German, and Jewish (Ashkenazic) : topographic name for someone who lived on patch of sandy soil, from the vocabulary word sand. As a Swedish or Jewish name it was often purely ornamental.Dutch and Belgian : reduced form of Van den Sand(e), Van den Zande, a habitational name from places such as Zande in West Flanders or various minor places named with zand ‘sand’.English and Scottish : from a short form of Alexander.French : from a Germanic personal name, Sando.
Female
Norwegian
Danish and Norwegian form of Greek Hanna, ANE means "favor; grace."
Female
Spanish
Portuguese and Spanish form of Latin Anna, ANA means "favor; grace."Â Compare with another form of Ana.
Surname or Lastname
English, German, and Jewish (Ashkenazic)
English, German, and Jewish (Ashkenazic) : metonymic occupational name for a maker of hoops and bands, etc., from Middle English band, bond, Middle High German, Middle Low German bant, German Band denoting something used for tying or binding: ‘hoop’, ‘metal band’, ‘fetter’, ‘shackle’.Old spelling of the Dutch cognates Bant, Bande, from Middle Dutch bant ‘band’.
Girl/Female
Hindu, Indian
Rational
Female
Danish
, compassion, grace; and, prayers.
Girl/Female
Hindu, Indian
Rational
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
Boy/Male
Irish
Powerful warrior.
Girl/Female
Hindu, Indian, Tamil, Telugu
Goddess; Extraordinary Beauty; Adored Woman
Boy/Male
Indian Arabic Muslim
Lion.
Boy/Male
Hindu, Indian
Laugh out Loud
Surname or Lastname
English and Irish
English and Irish : variant of Bowell or Bowler.
Male
Scandinavian
Scandinavian form of Icelandic Aðalsteinn, AÃALSTEIN means "noble stone."
Girl/Female
Bengali, Hindu, Indian, Malayalam, Marathi, Sanskrit
End; Last; Start; Respected
Boy/Male
Hindu, Indian, Sanskrit
Son of Dharma
Boy/Male
Hindu
Lord Krishna
Male
Iranian/Persian
Avestan name KERECACPA means "he of the lean horse." In mythology, this is the name of a hero god of second-rank in heaven who avenges his brother Urvaksha.
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
POLYNOMIAL AND-RATIONAL-FUNCTION-MODELING
n.
The things sold by auction or put up to auction.
v. t.
To separate by means of, or to subject to, fractional distillation or crystallization; to fractionate; -- frequently used with out; as, to fraction out a certain grade of oil from pretroleum.
n.
A rational being.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
a.
Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Not rational; void of reason or understanding; as, brutes are irrational animals.
a.
Pertaining to the function of an organ or part, or to the functions in general.
v. t.
To sell by auction.
a.
Of or pertaining to fractions or a fraction; constituting a fraction; as, fractional numbers.
v. t.
To supply with rations, as a regiment.
a.
Relatively small; inconsiderable; insignificant; as, a fractional part of the population.
a.
Of or pertaining to a nation; common to a whole people or race; public; general; as, a national government, language, dress, custom, calamity, etc.
n. & a.
Same as Polynomial.
a.
Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious; as, rational conduct; a rational man.
adv.
In a rational manner.
a.
Involving an option; depending on the exercise of an option; left to one's discretion or choice; not compulsory; as, optional studies; it is optional with you to go or stay.