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Applied mathematics

Apply 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.

Apply 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.

Physico-mathematics Phys`i*co-math`e*mat"ics, n. [Physico- + mathematics.] Mixed mathematics.

Pure mathematics

Pure 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 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 mathematics

Abstract 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.

Abstract 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.

- Mathematics (from Gr****: μάθημα, máthēma, 'knowledge, study, learning') includes the study of such topics as quantity (number theory), structure (algebra)...

- In mathematics, a function is a binary relation between two sets that ****ociates each element of the first set to exactly one element of the second set...

- study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation...

- In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is...

- Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

- The philosophy of mathematics is the branch of philosophy that studies the ****umptions, foundations, and implications of mathematics. It aims to understand...

- Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have...

- In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in...

- Analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic...

- division of mathematics is into pure mathematics; mathematics studied for its intrinsic interest, and applied mathematics; the mathematics that can be...

- In mathematics, a function is a binary relation between two sets that ****ociates each element of the first set to exactly one element of the second set...

- study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation...

- In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is...

- Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

- The philosophy of mathematics is the branch of philosophy that studies the ****umptions, foundations, and implications of mathematics. It aims to understand...

- Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have...

- In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in...

- Analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic...

- division of mathematics is into pure mathematics; mathematics studied for its intrinsic interest, and applied mathematics; the mathematics that can be...

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