| slovo | definícia |
algebraic
(encz) | algebraic,algebraicky |
Algebraic
(gcide) | Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
1. Of or pertaining to algebra; using algebra; according to
the laws of algebra; containing an operation of algebra,
or deduced from such operation; as, algebraic characters;
algebraical writings; algebraic geometry.
[1913 Webster]
2. progressing by constant multiplicatory factors; -- of a
series of numbers. Contrasted to arithmetical. algebraic
progression
Syn: algebraic
[PJC]
Algebraic curve, a curve such that the equation which
expresses the relation between the co["o]rdinates of its
points involves only the ordinary operations of algebra;
-- opposed to a transcendental curve.
[1913 Webster] |
algebraic
(wn) | algebraic
adj 1: of or relating to algebra; "algebraic geometry" [syn:
algebraic, algebraical] |
algebraic
(foldoc) | ALGEBRAIC
An early system on MIT's Whirlwind.
[CACM 2(5):16 (May 1959)].
(1995-01-24)
|
algebraic
(foldoc) | algebraic
In domain theory, a complete partial order is
algebraic if every element is the least upper bound of some
chain of compact elements. If the set of compact elements
is countable it is called omega-algebraic.
[Significance?]
(1995-04-25)
|
| | podobné slovo | definícia |
algebraic
(encz) | algebraic,algebraicky |
algebraic conjugate
(encz) | algebraic conjugate,prostor funkcionálu n: [mat.] |
algebraic equation
(encz) | algebraic equation,algebraická rovnice n: [mat.] |
algebraic number
(encz) | algebraic number,algebraické číslo |
algebraic sum
(encz) | algebraic sum,součet algebraicky |
algebraical
(encz) | algebraical,algebraicky |
algebraically
(encz) | algebraically,algebraicky [mat.] |
algebraicky
(czen) | algebraicky,algebraic algebraicky,algebraical algebraicky,algebraically[mat.] |
algebraická rovnice
(czen) | algebraická rovnice,algebraic equationn: [mat.] |
algebraické číslo
(czen) | algebraické číslo,algebraic number |
high speed algebraic logic
(czen) | High Speed Algebraic Logic,HSAL[zkr.] [voj.] Zdeněk Brož a automatický
překlad |
součet algebraicky
(czen) | součet algebraicky,algebraic sum |
Algebraic curve
(gcide) | Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
1. Of or pertaining to algebra; using algebra; according to
the laws of algebra; containing an operation of algebra,
or deduced from such operation; as, algebraic characters;
algebraical writings; algebraic geometry.
[1913 Webster]
2. progressing by constant multiplicatory factors; -- of a
series of numbers. Contrasted to arithmetical. algebraic
progression
Syn: algebraic
[PJC]
Algebraic curve, a curve such that the equation which
expresses the relation between the co["o]rdinates of its
points involves only the ordinary operations of algebra;
-- opposed to a transcendental curve.
[1913 Webster] |
Algebraic function
(gcide) | Function \Func"tion\, n. [L. functio, fr. fungi to perform,
execute, akin to Skr. bhuj to enjoy, have the use of: cf. F.
fonction. Cf. Defunct.]
1. The act of executing or performing any duty, office, or
calling; performance. "In the function of his public
calling." --Swift.
[1913 Webster]
2. (Physiol.) 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.
[1913 Webster]
3. The natural or assigned action of any power or faculty, as
of the soul, or of the intellect; the exertion of an
energy of some determinate kind.
[1913 Webster]
As the mind opens, and its functions spread. --Pope.
[1913 Webster]
4. The course of action which peculiarly pertains to any
public officer in church or state; the activity
appropriate to any business or profession.
[1913 Webster]
Tradesmen . . . going about their functions. --Shak.
[1913 Webster]
The malady which made him incapable of performing
his
regal functions. --Macaulay.
[1913 Webster]
5. (Math.) 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 x^2, 3^x, Log. x, and
Sin. x, are all functions of x.
[1913 Webster]
6. (Eccl.) A religious ceremony, esp. one particularly
impressive and elaborate.
Every solemn `function' performed with the
requirements of the liturgy. --Card.
Wiseman.
[Webster 1913 Suppl.]
7. A public or social ceremony or gathering; a festivity or
entertainment, esp. one somewhat formal.
This function, which is our chief social event. --W.
D. Howells.
[Webster 1913 Suppl.]
Algebraic function, a quantity whose connection with the
variable is expressed by an equation that involves only
the algebraic operations of addition, subtraction,
multiplication, division, raising to a given power, and
extracting a given root; -- opposed to transcendental
function.
Arbitrary function. See under Arbitrary.
Calculus of functions. See under Calculus.
Carnot's function (Thermo-dynamics), a relation between the
amount of heat given off by a source of heat, and the work
which can be done by it. It is approximately equal to the
mechanical equivalent of the thermal unit divided by the
number expressing the temperature in degrees of the air
thermometer, reckoned from its zero of expansion.
Circular functions. See Inverse trigonometrical functions
(below). -- Continuous function, a quantity that has no
interruption in the continuity of its real values, as the
variable changes between any specified limits.
Discontinuous function. See under Discontinuous.
Elliptic functions, a large and important class of
functions, so called because one of the forms expresses
the relation of the arc of an ellipse to the straight
lines connected therewith.
Explicit function, a quantity directly expressed in terms
of the independently varying quantity; thus, in the
equations y = 6x^2, y = 10 -x^3, the quantity y is an
explicit function of x.
Implicit function, a quantity whose relation to the
variable is expressed indirectly by an equation; thus, y
in the equation x^2 + y^2 = 100 is an implicit
function of x.
Inverse trigonometrical functions, or Circular functions,
the lengths of arcs relative to the sines, tangents, etc.
Thus, AB is the arc whose sine is BD, and (if the length
of BD is x) is written sin ^-1x, and so of the other
lines. See Trigonometrical function (below). Other
transcendental functions are the exponential functions,
the elliptic functions, the gamma functions, the theta
functions, etc.
One-valued function, a quantity that has one, and only one,
value for each value of the variable. -- {Transcendental
functions}, a quantity whose connection with the variable
cannot be expressed by algebraic operations; thus, y in
the equation y = 10^x is a transcendental function of x.
See Algebraic function (above). -- {Trigonometrical
function}, a quantity whose relation to the variable is the
same as that of a certain straight line drawn in a circle
whose radius is unity, to the length of a corresponding
are of the circle. Let AB be an arc in a circle, whose
radius OA is unity let AC be a quadrant, and let OC, DB,
and AF be drawnpependicular to OA, and EB and CG parallel
to OA, and let OB be produced to G and F. E Then BD is the
sine of the arc AB; OD or EB is the cosine, AF is the
tangent, CG is the cotangent, OF is the secant OG is the
cosecant, AD is the versed sine, and CE is the coversed
sine of the are AB. If the length of AB be represented by
x (OA being unity) then the lengths of Functions. these
lines (OA being unity) are the trigonometrical functions
of x, and are written sin x, cos x, tan x (or tang x), cot
x, sec x, cosec x, versin x, coversin x. These quantities
are also considered as functions of the angle BOA.
Function |
Algebraic sum
(gcide) | Sum \Sum\, n. [OE. summe, somme, OF. sume, some, F. somme, L.
summa, fr. summus highest, a superlative from sub under. See
Sub-, and cf. Supreme.]
1. The aggregate of two or more numbers, magnitudes,
quantities, or particulars; the amount or whole of any
number of individuals or particulars added together; as,
the sum of 5 and 7 is 12.
[1913 Webster]
Take ye the sum of all the congregation. --Num. i.
2.
[1913 Webster]
Note: Sum is now commonly applied to an aggregate of numbers,
and number to an aggregate of persons or things.
[1913 Webster]
2. A quantity of money or currency; any amount, indefinitely;
as, a sum of money; a small sum, or a large sum. "The sum
of forty pound." --Chaucer.
[1913 Webster]
With a great sum obtained I this freedom. --Acts
xxii. 28.
[1913 Webster]
3. The principal points or thoughts when viewed together; the
amount; the substance; compendium; as, this is the sum of
all the evidence in the case; this is the sum and
substance of his objections.
[1913 Webster]
4. Height; completion; utmost degree.
[1913 Webster]
Thus have I told thee all my state, and brought
My story to the sum of earthly bliss. --Milton.
[1913 Webster]
5. (Arith.) A problem to be solved, or an example to be
wrought out. --Macaulay.
[1913 Webster]
A sum in arithmetic wherein a flaw discovered at a
particular point is ipso facto fatal to the whole.
--Gladstone.
[1913 Webster]
A large sheet of paper . . . covered with long sums.
--Dickens.
[1913 Webster]
Algebraic sum, as distinguished from arithmetical sum, the
aggregate of two or more numbers or quantities taken with
regard to their signs, as + or -, according to the rules
of addition in algebra; thus, the algebraic sum of -2, 8,
and -1 is 5.
In sum, in short; in brief. [Obs.] "In sum, the gospel . .
. prescribes every virtue to our conduct, and forbids
every sin." --Rogers.
[1913 Webster] |
Algebraical
(gcide) | Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
1. Of or pertaining to algebra; using algebra; according to
the laws of algebra; containing an operation of algebra,
or deduced from such operation; as, algebraic characters;
algebraical writings; algebraic geometry.
[1913 Webster]
2. progressing by constant multiplicatory factors; -- of a
series of numbers. Contrasted to arithmetical. algebraic
progression
Syn: algebraic
[PJC]
Algebraic curve, a curve such that the equation which
expresses the relation between the co["o]rdinates of its
points involves only the ordinary operations of algebra;
-- opposed to a transcendental curve.
[1913 Webster] |
Algebraically
(gcide) | Algebraically \Al`ge*bra"ic*al*ly\, adv.
By algebraic process.
[1913 Webster] |
algebraic
(wn) | algebraic
adj 1: of or relating to algebra; "algebraic geometry" [syn:
algebraic, algebraical] |
algebraic language
(wn) | algebraic language
n 1: an algorithmic language having statements that resemble
algebraic expressions |
algebraic number
(wn) | algebraic number
n 1: root of an algebraic equation with rational coefficients |
algebraical
(wn) | algebraical
adj 1: of or relating to algebra; "algebraic geometry" [syn:
algebraic, algebraical] |
algebraically
(wn) | algebraically
adv 1: in an algebraic manner; "algebraically determined" |
algebraic
(foldoc) | ALGEBRAIC
An early system on MIT's Whirlwind.
[CACM 2(5):16 (May 1959)].
(1995-01-24)
algebraic
In domain theory, a complete partial order is
algebraic if every element is the least upper bound of some
chain of compact elements. If the set of compact elements
is countable it is called omega-algebraic.
[Significance?]
(1995-04-25)
|
algebraic compiler and translator
(foldoc) | Algebraic Compiler and Translator
ACT 1
(ACT 1) A language and compiler for the {Royal
McBee} LGP-30, designed around 1959, apparently by Clay
S. Boswell, Jr, and programmed by Mel Kaye.
(http://ed-thelen.org/comp-hist/lgp-30-man.html)
(2008-08-04)
|
algebraic data type
(foldoc) | algebraic data type
sum of products type
(Or "sum of products type") In {functional
programming}, new types can be defined, each of which has one
or more constructors. Such a type is known as an algebraic
data type. E.g. in Haskell we can define a new type,
"Tree":
data Tree = Empty | Leaf Int | Node Tree Tree
with constructors "Empty", "Leaf" and "Node". The
constructors can be used much like functions in that they can
be (partially) applied to arguments of the appropriate type.
For example, the Leaf constructor has the functional type Int
-> Tree.
A constructor application cannot be reduced (evaluated) like a
function application though since it is already in {normal
form}. Functions which operate on algebraic data types can be
defined using pattern matching:
depth :: Tree -> Int
depth Empty = 0
depth (Leaf n) = 1
depth (Node l r) = 1 + max (depth l) (depth r)
The most common algebraic data type is the list which has
constructors Nil and Cons, written in Haskell using the
special syntax "[]" for Nil and infix ":" for Cons.
Special cases of algebraic types are product types (only one
constructor) and enumeration types (many constructors with
no arguments). Algebraic types are one kind of {constructed
type} (i.e. a type formed by combining other types).
An algebraic data type may also be an abstract data type
(ADT) if it is exported from a module without its
constructors. Objects of such a type can only be manipulated
using functions defined in the same module as the type
itself.
In set theory the equivalent of an algebraic data type is a
discriminated union - a set whose elements consist of a tag
(equivalent to a constructor) and an object of a type
corresponding to the tag (equivalent to the constructor
arguments).
(1994-11-23)
|
algebraic interpretive dialogue
(foldoc) | Algebraic Interpretive Dialogue
AID
(AID) A version of Joss II for the PDP-10.
["AID (Algebraic Interpretive Dialogue)", DEC manual, 1968].
(1995-04-12)
|
algebraic logic functional language
(foldoc) | Algebraic Logic Functional language
ALF
(ALF) A language by Rudolf Opalla
which combines
functional programming and logic programming techniques.
ALF is based on Horn clause logic with equality which
consists of predicates and Horn clauses for {logic
programming}, and functions and equations for {functional
programming}. Any functional expression can be used in a
goal literal and arbitrary predicates can occur in
conditions of equations. ALF uses narrowing and
rewriting.
ALF includes a compiler to Warren Abstract Machine code and
run-time support.
(ftp://ftp.germany.eu.net/pub/programming/languages/LogicFunctional).
["The Implementation of the Functional-Logic Language ALF",
M. Hanus and A. Schwab].
(1992-10-08)
|
algebraic manipulation package
(foldoc) | Algebraic Manipulation Package
(AMP) A symbolic mathematics program
written in Modula-2, seen on CompuServe.
(1994-10-19)
|
algebraic specification language
(foldoc) | Algebraic Specification Language
1. (ASL)
["Structured Algebraic Specifications: A Kernel Language",
M. Wirsing, Theor Comput Sci 42, pp.123-249, Elsevier 1986].
2. (ASF) A language for equational specification of
abstract data types.
["Algebraic Specification", J.A. Bergstra et al, A-W 1989].
(1995-12-13)
|
algebraic structure
(foldoc) | algebraic structure
Any formal mathematical system consisting of a
set of objects and operations on those objects. Examples are
Boolean algebra, numerical algebra, set algebra and matrix
algebra.
[Is this the most common name for this concept?]
(1997-02-25)
|
boeing airplane company algebraic interpreter coding
(foldoc) | Boeing Airplane Company Algebraic Interpreter Coding
BACAIC
(BACAIC) A pre-Fortran system on the IBM 701
and IBM 650.
(1995-02-08)
|
international algebraic language
(foldoc) | ALGOL 58
IAL
International Algebraic Language
An early version of ALGOL 60, originally known as
"IAL".
Michigan Algorithm Decoder (MAD), developed in 1959, was
based on IAL.
["Preliminary report - International Algebraic Language", CACM
1(12):8, 1958].
[Details? Relationship to ALGOL 60?]
(1999-12-10)
|
lisp extended algebraic facility
(foldoc) | LISP Extended Algebraic Facility
(LEAF)
["An Algebraic Extension to LISP", P.H. Knowlton, Proc FJCC 35
1969].
(1996-06-07)
|
omega-algebraic
(foldoc) | Omega-algebraic
In domain theory, a complete partial order is algebraic if
every element is the lub of some chain of compact elements.
If the set of compact elements is countable it is
omega-algebraic. Usually written with a Greek letter omega
(LaTeX \omega).
(1995-02-03)
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