| slovo | definícia |
inverse
(encz) | inverse,inverzní adj: Zdeněk Brož |
Inverse
(gcide) | Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
[1913 Webster]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
[1913 Webster]
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
[1913 Webster]
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc or angle whose sine is x.
[1913 Webster]
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse ratio, or Reciprocal ratio (Math.), the ratio of
the reciprocals of two quantities.
Inverse proportion, or Reciprocal proportion, an equality
between a direct ratio and a reciprocal ratio; thus, 4 : 2
: : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
[1913 Webster] |
Inverse
(gcide) | Inverse \In"verse\, n.
That which is inverse.
[1913 Webster]
Thus the course of human study is the inverse of the
course of things in nature. --Tatham.
[1913 Webster] |
inverse
(wn) | inverse
adj 1: reversed (turned backward) in order or nature or effect
[syn: inverse, reverse]
2: opposite in nature or effect or relation to another quantity
; "a term is in inverse proportion to another term if it
increases (or decreases) as the other decreases (or
increases)" [ant: direct]
n 1: something inverted in sequence or character or effect;
"when the direct approach failed he tried the inverse"
[syn: inverse, opposite] |
inverse
(foldoc) | inverse
Given a function, f : D -> C, a function g : C
-> D is called a left inverse for f if for all d in D, g (f d)
= d and a right inverse if, for all c in C, f (g c) = c and an
inverse if both conditions hold. Only an injection has a
left inverse, only a surjection has a right inverse and only
a bijection has inverses. The inverse of f is often written
as f with a -1 superscript.
(1996-03-12)
|
| | podobné slovo | definícia |
inverse
(encz) | inverse,inverzní adj: Zdeněk Brož |
inverse function
(encz) | inverse function,inverzní funkce n: [mat.] |
inverse matrix
(encz) | inverse matrix,inverzní matice n: [mat.] |
inverse yield curve
(encz) | inverse yield curve, |
inversely
(encz) | inversely,inverzně adv: Zdeněk Brož |
multiplicative inverse
(encz) | multiplicative inverse,převrácená hodnota [mat.] Tolda |
Inverse figures
(gcide) | Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
[1913 Webster]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
[1913 Webster]
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
[1913 Webster]
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc or angle whose sine is x.
[1913 Webster]
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse ratio, or Reciprocal ratio (Math.), the ratio of
the reciprocals of two quantities.
Inverse proportion, or Reciprocal proportion, an equality
between a direct ratio and a reciprocal ratio; thus, 4 : 2
: : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
[1913 Webster] |
Inverse points
(gcide) | Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
[1913 Webster]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
[1913 Webster]
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
[1913 Webster]
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc or angle whose sine is x.
[1913 Webster]
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse ratio, or Reciprocal ratio (Math.), the ratio of
the reciprocals of two quantities.
Inverse proportion, or Reciprocal proportion, an equality
between a direct ratio and a reciprocal ratio; thus, 4 : 2
: : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
[1913 Webster] |
Inverse proportion
(gcide) | Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
[1913 Webster]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
[1913 Webster]
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
[1913 Webster]
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc or angle whose sine is x.
[1913 Webster]
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse ratio, or Reciprocal ratio (Math.), the ratio of
the reciprocals of two quantities.
Inverse proportion, or Reciprocal proportion, an equality
between a direct ratio and a reciprocal ratio; thus, 4 : 2
: : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
[1913 Webster]Proportion \Pro*por"tion\, n. [F., fr. L. proportio; pro before
+ portio part or share. See Portion.]
[1913 Webster]
1. The relation or adaptation of one portion to another, or
to the whole, as respect magnitude, quantity, or degree;
comparative relation; ratio; as, the proportion of the
parts of a building, or of the body.
[1913 Webster]
The image of Christ, made after his own proportion.
--Ridley.
[1913 Webster]
Formed in the best proportions of her sex. --Sir W.
Scott.
[1913 Webster]
Documents are authentic and facts are true precisely
in proportion to the support which they afford to
his theory. --Macaulay.
[1913 Webster]
2. Harmonic relation between parts, or between different
things of the same kind; symmetrical arrangement or
adjustment; symmetry; as, to be out of proportion. "Let us
prophesy according to the proportion of faith." --Rom.
xii. 6.
[1913 Webster]
3. The portion one receives when a whole is distributed by a
rule or principle; equal or proper share; lot.
[1913 Webster]
Let the women . . . do the same things in their
proportions and capacities. --Jer. Taylor.
[1913 Webster]
4. A part considered comparatively; a share.
[1913 Webster]
5. (Math.)
(a) The equality or similarity of ratios, especially of
geometrical ratios; or a relation among quantities
such that the quotient of the first divided by the
second is equal to that of the third divided by the
fourth; -- called also geometrical proportion, in
distinction from arithmetical proportion, or that in
which the difference of the first and second is equal
to the difference of the third and fourth.
[1913 Webster]
Note: Proportion in the mathematical sense differs from
ratio. Ratio is the relation of two quantities of the
same kind, as the ratio of 5 to 10, or the ratio of 8
to 16. Proportion is the sameness or likeness of two
such relations. Thus, 5 to 10 as 8 to 16; that is, 5
bears the same relation to 10 as 8 does to 16. Hence,
such numbers are said to be in proportion. Proportion
is expressed by symbols thus:
[1913 Webster] a:b::c:d, or a:b = c:d, or a/b = c/d.
[1913 Webster]
(b) The rule of three, in arithmetic, in which the three
given terms, together with the one sought, are
proportional.
[1913 Webster]
Continued proportion, Inverse proportion, etc. See under
Continued, Inverse, etc.
Harmonical proportion or Musical proportion, a relation
of three or four quantities, such that the first is to the
last as the difference between the first two is to the
difference between the last two; thus, 2, 3, 6, are in
harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24,
16, 12, 9, are harmonical, for 24:9::8:3.
In proportion, according as; to the degree that. "In
proportion as they are metaphysically true, they are
morally and politically false." --Burke.
[1913 Webster] |
Inverse ratio
(gcide) | Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
[1913 Webster]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
[1913 Webster]
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
[1913 Webster]
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc or angle whose sine is x.
[1913 Webster]
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse ratio, or Reciprocal ratio (Math.), the ratio of
the reciprocals of two quantities.
Inverse proportion, or Reciprocal proportion, an equality
between a direct ratio and a reciprocal ratio; thus, 4 : 2
: : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
[1913 Webster]Ratio \Ra"ti*o\ (r[=a]"sh[i^]*[-o] or r[=a]"sh[-o]), n. [L., fr.
reri, ratus, to reckon, believe, think, judge. See Reason.]
1. (Math.) The relation which one quantity or magnitude has
to another of the same kind. It is expressed by the
quotient of the division of the first by the second; thus,
the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b
by a/b; or (less commonly) the second term is made the
dividend; as, a:b = b/a.
[1913 Webster]
Note: Some writers consider ratio as the quotient itself,
making ratio equivalent to a number.
[1913 Webster] The term ratio is also sometimes applied
to the difference of two quantities as well as to their
quotient, in which case the former is called
arithmetical ratio, the latter, geometrical ratio. The
name ratio is sometimes given to the rule of three in
arithmetic. See under Rule.
[1913 Webster]
2. Hence, fixed relation of number, quantity, or degree;
rate; proportion; as, the ratio of representation in
Congress.
[1913 Webster]
Compound ratio, Duplicate ratio, Inverse ratio, etc.
See under Compound, Duplicate, etc.
Ratio of a geometrical progression, the constant quantity
by which each term is multiplied to produce the succeeding
one.
[1913 Webster] |
Inverse trigonometrical functions
(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 |
Inversely
(gcide) | Inversely \In*verse"ly\, adv.
In an inverse order or manner; by inversion; -- opposed to
directly.
[1913 Webster]
Inversely proportional. See Directly proportional, under
Directly, and Inversion, 4.
[1913 Webster] |
Inversely proportional
(gcide) | Inversely \In*verse"ly\, adv.
In an inverse order or manner; by inversion; -- opposed to
directly.
[1913 Webster]
Inversely proportional. See Directly proportional, under
Directly, and Inversion, 4.
[1913 Webster] |
additive inverse
(wn) | additive inverse
n 1: (mathematics) one of a pair of numbers whose sum is zero;
the additive inverse of -5 is +5 |
inverse
(wn) | inverse
adj 1: reversed (turned backward) in order or nature or effect
[syn: inverse, reverse]
2: opposite in nature or effect or relation to another quantity
; "a term is in inverse proportion to another term if it
increases (or decreases) as the other decreases (or
increases)" [ant: direct]
n 1: something inverted in sequence or character or effect;
"when the direct approach failed he tried the inverse"
[syn: inverse, opposite] |
inverse cosecant
(wn) | inverse cosecant
n 1: the angle that has a cosecant equal to a given number [syn:
arc cosecant, arccosecant, inverse cosecant] |
inverse cosine
(wn) | inverse cosine
n 1: the inverse function of the cosine; the angle that has a
cosine equal to a given number [syn: arc cosine,
arccosine, arccos, inverse cosine] |
inverse cotangent
(wn) | inverse cotangent
n 1: the inverse function of the cotangent; the angle that has a
cotangent equal to a given number [syn: arc cotangent,
arccotangent, inverse cotangent] |
inverse function
(wn) | inverse function
n 1: a function obtained by expressing the dependent variable of
one function as the independent variable of another; f and
g are inverse functions if f(x)=y and g(y)=x |
inverse secant
(wn) | inverse secant
n 1: the inverse function of the secant; the angle that has a
secant equal to a given number [syn: arc secant,
arcsecant, arcsec, inverse secant] |
inverse sine
(wn) | inverse sine
n 1: the inverse function of the sine; the angle that has a sine
equal to a given number [syn: arc sine, arcsine,
arcsin, inverse sine] |
inverse tangent
(wn) | inverse tangent
n 1: the inverse function of the tangent; the angle that has a
tangent equal to a given number [syn: arc tangent,
arctangent, arctan, inverse tangent] |
inversely
(wn) | inversely
adv 1: in an inverse or contrary manner; "inversely related";
"wavelength and frequency are, of course, related
reciprocally"- F.A.Geldard [syn: inversely,
reciprocally] |
multiplicative inverse
(wn) | multiplicative inverse
n 1: (mathematics) one of a pair of numbers whose product is 1:
the reciprocal of 2/3 is 3/2; the multiplicative inverse of
7 is 1/7 [syn: multiplicative inverse, reciprocal] |
banach inverse mapping theorem
(foldoc) | Banach inverse mapping theorem
In a Banach space the inverse to a
continuous linear mapping is continuous.
(1998-06-25)
|
inverse
(foldoc) | inverse
Given a function, f : D -> C, a function g : C
-> D is called a left inverse for f if for all d in D, g (f d)
= d and a right inverse if, for all c in C, f (g c) = c and an
inverse if both conditions hold. Only an injection has a
left inverse, only a surjection has a right inverse and only
a bijection has inverses. The inverse of f is often written
as f with a -1 superscript.
(1996-03-12)
|
inverse address resolution protocol
(foldoc) | Inverse Address Resolution Protocol
InARP
(InARP) Additions to ARP typically
used for Frame Relay. [Any other examples of its use?]
Frame Relay stations route frames of a higher level
protocol between LANs, across a Permanent Virtual Circuit.
These stations are identified by their {Data Link Control
Identifier} (DLCI), equivalent to an Ethernet address in a
LAN itself.
InARP allows a station to determine a protocol address (e.g.
IP address) from a DLCI. This is useful if a new {virtual
circuit} becomes available. Signalling messages announce its
DLCI, but without the corresponding protocol address it is
unusable: no frames can be routed to it.
Reverse ARP (RARP) performs a similar task on an Ethernet
LAN, however RARP answers the question "What is my IP
Address?" whereas InARP answers the question "What is your
protocol address?".
See RFC 2390.
(2000-01-15)
|
inverse comment convention
(foldoc) | inverse comment convention
A kind of literate programming where the
program code is marked to distinguish it from the text, rather
than the other way around as in normal programs.
(2003-09-24)
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