Found 2 hits - Term: circular functions, Database: *, Strategy: prefix
- [1] : The Collaborative International Dictionary of English v.0.48
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
see also:
defunct 2 x algebraic function arbitrary function arbitrary
calculus of functions calculus carnot's function circular functions inverse trigonometrical functions
discontinuous function discontinuous elliptic functions explicit function 3
implicit function -1 trigonometrical function one-valued function transcendental functions
trigonometrical function
- [2] : The Collaborative International Dictionary of English v.0.48
circular \cir"cular\, a. l. circularis, fr. circulus circle:
cf. f. circulaire. see circle.
1913 webster
1. in the form of, or bounded by, a circle; round.
1913 webster
2. repeating itself; ending in itself; reverting to the point
of beginning; hence, illogical; inconclusive; as, circular
reasoning.
1913 webster
3. adhering to a fixed circle of legends; cyclic; hence,
mean; inferior. see cyclic poets, under cyclic.
1913 webster
had virgil been a circular poet, and closely adhered
to history, how could the romans have had dido?
--dennis.
1913 webster
4. addressed to a circle, or to a number of persons having a
common interest; circulated, or intended for circulation;
as, a circular letter.
1913 webster
a proclamation of henry iii., . . . doubtless
circular throughout england. --hallam.
1913 webster
5. perfect; complete. obs.
1913 webster
a man so absolute and circular
in all those wished-for rarities that may take
a virgin captive. --massinger.
1913 webster
circular are, any portion of the circumference of a circle.
circular cubics math., curves of the third order which
are imagined to pass through the two circular points at
infinity.
circular functions. math. see under function.
circular instruments, mathematical instruments employed for
measuring angles, in which the graduation extends round
the whole circumference of a circle, or 360deg.
circular lines, straight lines pertaining to the circle, as
sines, tangents, secants, etc.
circular note or circular letter.
a com. see under credit.
b diplomacy a letter addressed in identical terms to a
number of persons.
circular numbers arith., those whose powers terminate in
the same digits as the roots themselves; as 5 and 6, whose
squares are 25 and 36. --bailey. --barlow.
circular points at infinity geom., two imaginary points
at infinite distance through which every circle in the
plane is, in the theory of curves, imagined to pass.
circular polarization. min. see under polarization.
circular sailing or globular sailing naut., the method
of sailing by the arc of a great circle.
circular saw. see under saw.
1913 webster
see also:
circle cyclic poets cyclic circular are circular cubics circular functions
function circular instruments circular lines circular note or circular letter
credit circular numbers circular points at infinity circular polarization polarization
circular sailing globular sailing circular saw saw
Results 1 - 3 of 3 found about circular functions: Circular
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Circular, definition of term: Circular
circular_pag1.html Circular Polari
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Circular Polari, definition of term: Circular Polari
circular+polari_pag1.html Circular File
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Circular File, definition of term: Circular File
circular+file_pag1.html
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