Chapter IX · Chapter 9

used before a singular noun to mean one of a group, when it is not a particular one

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

consider a concept without thinking of a specific example; consider abstractly or theoretically

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

the mathematics of generalized arithmetical operations

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

of or relating to algebra

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

the form of “a” used before a word that begins with a vowel sound

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

used to join words or parts of a sentence that go together

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

one more of the same kind, or a different one

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

at the same time that; because; in the way that

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

give an assignment to (a person) to a post, or assign a task to (a person)

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

appointed to a post or duty

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a statement that is assumed to be true and from which a conclusion can be drawn

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

in or near a particular place or position

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

capable of being attained or accomplished

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

used with a past participle to form the passive, or with -ing for continuous tenses

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

third-person singular of “become” — enter or assume a certain state or condition

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

any cognitive content held as true

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

of the color intermediate between green and violet; having a color similar to that of a clear unclouded sky

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

used to introduce something that contrasts with what came before

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

plural of “call” — a telephone connection

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

to be able to, or to be allowed to

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

a game played with playing cards

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

capable of being perceived by the senses; not abstract or imaginary

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

deem to be

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

involving or causing danger or risk; liable to hurt or harm

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

the magnitude of something in a particular direction (especially length or width or height)

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

used to form questions and negatives, and to give emphasis

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

plural of “dollar” — the basic monetary unit in many countries; equal to 100 cents

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

third-person singular of “enter” — to come or go into

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

plural of “equal” — a person who is of equal standing with another in a group

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a mathematical statement that two expressions are equal

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

anything that contributes causally to a result

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

plural of “factor” — anything that contributes causally to a result

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

capable of arousing and holding the attention

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

a barrier that serves to enclose an area

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

(of a number) having a fixed and unchanging value

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

intended to be given to, or used by, somebody

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

a group of symbols that make a mathematical statement

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

having unexpected good fortune

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

showing where something starts, or who sent it

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

a contest with rules to determine a winner

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

web-footed long-necked typically gregarious migratory aquatic birds usually larger and less aquatic than ducks

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

on condition that; in the event that

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

without delay or hesitation; with no time intervening

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

inside something, or within a place, period, or state

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

third-person singular of “insist” — be emphatic or resolute and refuse to budge

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

existing as an essential constituent or characteristic

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

moving to the inside of something

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

the form of “be” used with he, she, it, or a singular noun

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

a thing, animal, or idea already mentioned

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

apprehended with certainty

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

plural of “lead” — an advantage held by a competitor in a race

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

for more time

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

used to say something is possible, or to give permission

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a formally arranged gathering

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

not any; not one

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

not one thing; not anything

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

last or greatest in an indefinitely large series

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

belonging to, or connected with, somebody or something

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

touching and supported by a surface

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

not the same one or ones already mentioned or implied

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

belonging to the speaker and others

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

used when we are both doing the action and receiving it

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

not allowed to continue to bat or run

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

concerning or affecting a particular person or his or her private life and personality

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

a useful or valuable quality

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a state of difficulty that needs to be resolved

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

recurring again and again

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a phenomenon that follows and is caused by some previous phenomenon

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

Identical; not different.

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

express in words

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

having few parts; not complex or complicated or involved

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

(photography) the act of assuming a certain position (as for a photograph or portrait)

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

attain success or reach a desired goal

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

third-person singular of “suffice” — be sufficient; be adequate, either in quality or quantity

From this reading Simple algebra no longer suffices; calculus, differential as well as integral, enters into our problem, and if we can succeed in fencing out quaternions, to say nothing of the _nth_ dimension, we may consider ourselves fortunate.

used to introduce what somebody said, thought, or felt

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

used before a noun that is already known, already mentioned, or the only one of its kind

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

subsequently or soon afterward (often used as sentence connectors)

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

in theory; according to the assumed facts

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

used for a person or thing that is near, or that has just been mentioned

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

an instance or single occasion for some event

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

used before the base form of a verb to make the infinitive

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

as the end result of a succession or process

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a formal word for “on”

From this reading But immediately we do this, another factor known as the personal equation calls for cards, and from then on insists upon sitting in the game.

beliefs of a person or social group in which they have an emotional investment (either for or against something)

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

precisely as stated

From this reading _The Meeting at the Blue Goose_ An algebraic formula is very fascinating, but at the same time it is very dangerous.

the speaker together with one or more other people

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

(often used as a combining form) in a good or proper or satisfactory manner or to a high standard (“good” is a nonstandard dialectal variant for “well”)

From this reading If we assign concrete dollars to the abstract _x_ and _y_, _a_ theoretically becomes concrete dollars as well.

any or all of a kind, it does not matter which

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

the cardinal number that is the sum of nine and one; the base of the decimal system

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.

a silvery metallic element that is common in rare-earth minerals; used in magnesium and aluminum alloys

From this reading The oft-times repeated assumption that _x_ plus _y_ equals _a_ leads ultimately to the fixed belief that a is an attainable result, whatever values may be assigned to the other factors.