| slovo | definícia |
progression
(encz) | progression,posloupnost n: [mat.] Aritmetická či geometrická metan |
progression
(encz) | progression,postup n: Zdeněk Brož |
Progression
(gcide) | Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
[1913 Webster]
1. The act of moving forward; a proceeding in a course;
motion onward.
[1913 Webster]
2. Course; passage; lapse or process of time.
[1913 Webster]
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
[1913 Webster]
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
[1913 Webster]
4. (Mus.) A regular succession of tones or chords; the
movement of the parts in harmony; the order of the
modulations in a piece from key to key.
[1913 Webster]
Arithmetical progression, a progression in which the terms
increase or decrease by equal differences, as the numbers
[lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the
difference 2.
[1913 Webster]
Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
[1913 Webster]
Harmonic progression, a progression in which the terms are
the reciprocals of quantities in arithmetical progression,
as 1/2, 1/4, 1/6, 1/8, 1/10.
[1913 Webster] |
progression
(wn) | progression
n 1: a series with a definite pattern of advance [syn:
progression, patterned advance]
2: a movement forward; "he listened for the progress of the
troops" [syn: progress, progression, advance]
3: the act of moving forward (as toward a goal) [syn:
progress, progression, procession, advance,
advancement, forward motion, onward motion] [ant:
retreat] |
| | podobné slovo | definícia |
geometric progression
(encz) | geometric progression, |
harmonic progression
(encz) | harmonic progression, n: |
Arithmetical progression
(gcide) | Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
[1913 Webster]
1. The act of moving forward; a proceeding in a course;
motion onward.
[1913 Webster]
2. Course; passage; lapse or process of time.
[1913 Webster]
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
[1913 Webster]
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
[1913 Webster]
4. (Mus.) A regular succession of tones or chords; the
movement of the parts in harmony; the order of the
modulations in a piece from key to key.
[1913 Webster]
Arithmetical progression, a progression in which the terms
increase or decrease by equal differences, as the numbers
[lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the
difference 2.
[1913 Webster]
Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
[1913 Webster]
Harmonic progression, a progression in which the terms are
the reciprocals of quantities in arithmetical progression,
as 1/2, 1/4, 1/6, 1/8, 1/10.
[1913 Webster]Arithmetical \Ar`ith*met"ic*al\, a.
Of or pertaining to arithmetic; according to the rules or
method of arithmetic.
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Arithmetical complement of a logarithm. See Logarithm.
Arithmetical mean. See Mean.
Arithmetical progression. See Progression.
Arithmetical proportion. See Proportion.
[1913 Webster] |
Geometrical progression
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [L.
geometricus; Gr. ?: cf. F. g['e]om['e]trique.]
1. Pertaining to, or according to the rules or principles of,
geometry; determined by geometry; as, a geometrical
solution of a problem.
[1913 Webster]
2. (Art) characterized by simple geometric forms in design
and decoration; as, a buffalo hide painted with red and
black geometrical designs.
Syn: geometric.
[WordNet 1.5]
Note: Geometric is often used, as opposed to algebraic, to
include processes or solutions in which the
propositions or principles of geometry are made use of
rather than those of algebra.
[1913 Webster]
Note: Geometrical is often used in a limited or strictly
technical sense, as opposed to mechanical; thus, a
construction or solution is geometrical which can be
made by ruler and compasses, i. e., by means of right
lines and circles. Every construction or solution which
requires any other curve, or such motion of a line or
circle as would generate any other curve, is not
geometrical, but mechanical. By another distinction, a
geometrical solution is one obtained by the rules of
geometry, or processes of analysis, and hence is exact;
while a mechanical solution is one obtained by trial,
by actual measurements, with instruments, etc., and is
only approximate and empirical.
[1913 Webster]
Geometrical curve. Same as Algebraic curve; -- so called
because their different points may be constructed by the
operations of elementary geometry.
Geometric lathe, an instrument for engraving bank notes,
etc., with complicated patterns of interlacing lines; --
called also cycloidal engine.
Geometrical pace, a measure of five feet.
Geometric pen, an instrument for drawing geometric curves,
in which the movements of a pen or pencil attached to a
revolving arm of adjustable length may be indefinitely
varied by changing the toothed wheels which give motion to
the arm.
Geometrical plane (Persp.), the same as Ground plane .
Geometrical progression, proportion, ratio. See under
Progression, Proportion and Ratio.
Geometrical radius, in gearing, the radius of the pitch
circle of a cogwheel. --Knight.
Geometric spider (Zool.), one of many species of spiders,
which spin a geometrical web. They mostly belong to
Epeira and allied genera, as the garden spider. See
Garden spider.
Geometric square, a portable instrument in the form of a
square frame for ascertaining distances and heights by
measuring angles.
Geometrical staircase, one in which the stairs are
supported by the wall at one end only.
Geometrical tracery, in architecture and decoration,
tracery arranged in geometrical figures.
[1913 Webster]Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
[1913 Webster]
1. The act of moving forward; a proceeding in a course;
motion onward.
[1913 Webster]
2. Course; passage; lapse or process of time.
[1913 Webster]
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
[1913 Webster]
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
[1913 Webster]
4. (Mus.) A regular succession of tones or chords; the
movement of the parts in harmony; the order of the
modulations in a piece from key to key.
[1913 Webster]
Arithmetical progression, a progression in which the terms
increase or decrease by equal differences, as the numbers
[lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the
difference 2.
[1913 Webster]
Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
[1913 Webster]
Harmonic progression, a progression in which the terms are
the reciprocals of quantities in arithmetical progression,
as 1/2, 1/4, 1/6, 1/8, 1/10.
[1913 Webster] |
Harmonic progression
(gcide) | Harmonic \Har*mon"ic\ (h[aum]r*m[o^]n"[i^]k), Harmonical
\Har*mon"ic*al\ (-[i^]*kal), a. [L. harmonicus, Gr. "armoniko`s;
cf. F. harmonique. See Harmony.]
1. Concordant; musical; consonant; as, harmonic sounds.
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Harmonic twang! of leather, horn, and brass. --Pope.
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2. (Mus.) Relating to harmony, -- as melodic relates to
melody; harmonious; esp., relating to the accessory sounds
or overtones which accompany the predominant and apparent
single tone of any string or sonorous body.
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3. (Math.) Having relations or properties bearing some
resemblance to those of musical consonances; -- said of
certain numbers, ratios, proportions, points, lines,
motions, and the like.
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Harmonic interval (Mus.), the distance between two notes of
a chord, or two consonant notes.
Harmonical mean (Arith. & Alg.), certain relations of
numbers and quantities, which bear an analogy to musical
consonances.
Harmonic motion, the motion of the point A, of the foot of
the perpendicular PA, when P moves uniformly in the
circumference of a circle, and PA is drawn perpendicularly
upon a fixed diameter of the circle. This is simple
harmonic motion. The combinations, in any way, of two or
more simple harmonic motions, make other kinds of harmonic
motion. The motion of the pendulum bob of a clock is
approximately simple harmonic motion.
Harmonic proportion. See under Proportion.
Harmonic series or Harmonic progression. See under
Progression.
Spherical harmonic analysis, a mathematical method,
sometimes referred to as that of Laplace's Coefficients,
which has for its object the expression of an arbitrary,
periodic function of two independent variables, in the
proper form for a large class of physical problems,
involving arbitrary data, over a spherical surface, and
the deduction of solutions for every point of space. The
functions employed in this method are called spherical
harmonic functions. --Thomson & Tait.
Harmonic suture (Anat.), an articulation by simple
apposition of comparatively smooth surfaces or edges, as
between the two superior maxillary bones in man; -- called
also harmonia, and harmony.
Harmonic triad (Mus.), the chord of a note with its third
and fifth; the common chord.
[1913 Webster]Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
[1913 Webster]
1. The act of moving forward; a proceeding in a course;
motion onward.
[1913 Webster]
2. Course; passage; lapse or process of time.
[1913 Webster]
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
[1913 Webster]
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
[1913 Webster]
4. (Mus.) A regular succession of tones or chords; the
movement of the parts in harmony; the order of the
modulations in a piece from key to key.
[1913 Webster]
Arithmetical progression, a progression in which the terms
increase or decrease by equal differences, as the numbers
[lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the
difference 2.
[1913 Webster]
Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
[1913 Webster]
Harmonic progression, a progression in which the terms are
the reciprocals of quantities in arithmetical progression,
as 1/2, 1/4, 1/6, 1/8, 1/10.
[1913 Webster] |
Progression
(gcide) | Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
[1913 Webster]
1. The act of moving forward; a proceeding in a course;
motion onward.
[1913 Webster]
2. Course; passage; lapse or process of time.
[1913 Webster]
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
[1913 Webster]
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
[1913 Webster]
4. (Mus.) A regular succession of tones or chords; the
movement of the parts in harmony; the order of the
modulations in a piece from key to key.
[1913 Webster]
Arithmetical progression, a progression in which the terms
increase or decrease by equal differences, as the numbers
[lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the
difference 2.
[1913 Webster]
Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
[1913 Webster]
Harmonic progression, a progression in which the terms are
the reciprocals of quantities in arithmetical progression,
as 1/2, 1/4, 1/6, 1/8, 1/10.
[1913 Webster] |
Progressional
(gcide) | Progressional \Pro*gres"sion*al\, a.
Of or pertaining to progression; tending to, or capable of,
progress.
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Progressionist
(gcide) | Progressionist \Pro*gres"sion*ist\, n.
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1. One who holds to a belief in the progression of society
toward perfection.
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2. One who maintains the doctrine of progression in organic
forms; -- opposed to uniformitarian. --H. Spencer.
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Ratio of a geometrical progression
(gcide) | 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.
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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] |
arithmetic progression
(wn) | arithmetic progression
n 1: (mathematics) a progression in which a constant is added to
each term in order to obtain the next term; "1-4-7-10-13-
is the start of an arithmetic progression" |
geometric progression
(wn) | geometric progression
n 1: (mathematics) a progression in which each term is
multiplied by a constant in order to obtain the next term;
"1-4-16-64-256- is the start of a geometric progression" |
harmonic progression
(wn) | harmonic progression
n 1: (mathematics) a progression of terms whose reciprocals form
an arithmetic progression |
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