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Applied mathematicsApply Ap*ply", v. t. [imp. & p. p. Applied; p. pr. & vb. n.
Applying.] [OF. aplier, F. appliquer, fr. L. applicare to
join, fix, or attach to; ad + plicare to fold, to twist
together. See Applicant, Ply.]
1. To lay or place; to put or adjust (one thing to another);
-- with to; as, to apply the hand to the breast; to apply
medicaments to a diseased part of the body.
He said, and the sword his throat applied. --Dryden.
2. To put to use; to use or employ for a particular purpose,
or in a particular case; to appropriate; to devote; as, to
apply money to the payment of a debt.
3. To make use of, declare, or pronounce, as suitable,
fitting, or relative; as, to apply the testimony to the
case; to apply an epithet to a person.
Yet God at last To Satan, first in sin, his doom
applied. --Milton.
4. To fix closely; to engage and employ diligently, or with
attention; to attach; to incline.
Apply thine heart unto instruction. --Prov. xxiii.
12.
5. To direct or address. [R.]
Sacred vows . . . applied to grisly Pluto. --Pope.
6. To betake; to address; to refer; -- used reflexively.
I applied myself to him for help. --Johnson.
7. To busy; to keep at work; to ply. [Obs.]
She was skillful in applying his ``humors.' --Sir
P. Sidney.
8. To visit. [Obs.]
And he applied each place so fast. --Chapman.
Applied chemistry. See under Chemistry.
Applied mathematics. See under Mathematics. Physico-mathematics
Physico-mathematics Phys`i*co-math`e*mat"ics, n. [Physico- +
mathematics.]
Mixed mathematics.
Pure mathematicsPure Pure, a. [Compar. Purer; superl. Purest.] [OE. pur,
F. pur, fr. L. purus; akin to putus pure, clear, putare to
clean, trim, prune, set in order, settle, reckon, consider,
think, Skr. p? to clean, and perh. E. fire. Cf. Putative.]
1. Separate from all heterogeneous or extraneous matter; free
from mixture or combination; clean; mere; simple; unmixed;
as, pure water; pure clay; pure air; pure compassion.
The pure fetters on his shins great. --Chaucer.
A guinea is pure gold if it has in it no alloy. --I.
Watts.
2. Free from moral defilement or quilt; hence, innocent;
guileless; chaste; -- applied to persons. ``Keep thyself
pure.' --1 Tim. v. 22.
Now the end of the commandment is charity out of a
pure heart, and of a good conscience. --1 Tim. i. 5.
3. Free from that which harms, vitiates, weakens, or
pollutes; genuine; real; perfect; -- applied to things and
actions. ``Pure religion and impartial laws.' --Tickell.
``The pure, fine talk of Rome.' --Ascham.
Such was the origin of a friendship as warm and pure
as any that ancient or modern history records.
--Macaulay.
4. (Script.) Ritually clean; fitted for holy services.
Thou shalt set them in two rows, six on a row, upon
the pure table before the Lord. --Lev. xxiv.
6.
5. (Phonetics) Of a single, simple sound or tone; -- said of
some vowels and the unaspirated consonants.
Pure-impure, completely or totally impure. ``The
inhabitants were pure-impure pagans.' --Fuller.
Pure blue. (Chem.) See Methylene blue, under Methylene.
Pure chemistry. See under Chemistry.
Pure mathematics, that portion of mathematics which treats
of the principles of the science, or contradistinction to
applied mathematics, which treats of the application of
the principles to the investigation of other branches of
knowledge, or to the practical wants of life. See
Mathematics. --Davies & Peck (Math. Dict. )
Pure villenage (Feudal Law), a tenure of lands by uncertain
services at the will of the lord. --Blackstone.
Syn: Unmixed; clear; simple; real; true; genuine;
unadulterated; uncorrupted; unsullied; untarnished;
unstained; stainless; clean; fair; unspotted; spotless;
incorrupt; chaste; unpolluted; undefiled; immaculate;
innocent; guiltless; guileless; holy. Pure mathematicsAbstract Ab"stract` (#; 277), a. [L. abstractus, p. p. of
abstrahere to draw from, separate; ab, abs + trahere to draw.
See Trace.]
1. Withdraw; separate. [Obs.]
The more abstract . . . we are from the body.
--Norris.
2. Considered apart from any application to a particular
object; separated from matter; existing in the mind only;
as, abstract truth, abstract numbers. Hence: ideal;
abstruse; difficult.
3. (Logic)
(a) Expressing a particular property of an object viewed
apart from the other properties which constitute it;
-- opposed to concrete; as, honesty is an abstract
word. --J. S. Mill.
(b) Resulting from the mental faculty of abstraction;
general as opposed to particular; as, ``reptile' is
an abstract or general name. --Locke.
A concrete name is a name which stands for a
thing; an abstract name which stands for an
attribute of a thing. A practice has grown up in
more modern times, which, if not introduced by
Locke, has gained currency from his example, of
applying the expression ``abstract name' to all
names which are the result of abstraction and
generalization, and consequently to all general
names, instead of confining it to the names of
attributes. --J. S. Mill.
4. Abstracted; absent in mind. ``Abstract, as in a trance.'
--Milton.
An abstract idea (Metaph.), an idea separated from a
complex object, or from other ideas which naturally
accompany it; as the solidity of marble when contemplated
apart from its color or figure.
Abstract terms, those which express abstract ideas, as
beauty, whiteness, roundness, without regarding any object
in which they exist; or abstract terms are the names of
orders, genera or species of things, in which there is a
combination of similar qualities.
Abstract numbers (Math.), numbers used without application
to things, as 6, 8, 10; but when applied to any thing, as
6 feet, 10 men, they become concrete.
Abstract or Pure mathematics. See Mathematics.
Meaning of Mathematics from wikipedia
-
Mathematics is a
field of
study that
discovers and
organizes methods,
theories and
theorems that are
developed and
proved for the
needs of
empirical sciences...
- In
mathematics, a
matrix (pl.: matrices) is a
rectangular array or
table of numbers, symbols, or expressions, with
elements or
entries arranged in rows...
- The
history of
mathematics deals with the
origin of
discoveries in
mathematics and the
mathematical methods and
notation of the past.
Before the modern...
- In
mathematics, a set is a
collection of
different things;
these things are
called elements or
members of the set and are
typically mathematical objects...
-
Discrete mathematics is the
study of
mathematical structures that can be
considered "discrete" (in a way
analogous to
discrete variables,
having a bijection...
- In
mathematics, a
function from a set X to a set Y ****igns to each
element of X
exactly one
element of Y. The set X is
called the
domain of the function...
- In
mathematics, two
sequences of numbers,
often experimental data, are
proportional or
directly proportional if
their corresponding elements have a constant...
-
Everyday Mathematics is a pre-K and
elementary school mathematics curriculum,
developed by the
University of
Chicago School Mathematics Project (not to...
-
Experimental mathematics is an
approach to
mathematics in
which com****tion is used to
investigate mathematical objects and
identify properties and patterns...
- In
mathematics, the
origin of a
Euclidean space is a
special point,
usually denoted by the
letter O, used as a
fixed point of
reference for the geometry...
