Pullback vs. Withdrawal — What's the Difference?

In mathematics, a pullback is either of two different, but related processes: precomposition and fiber-product. Its dual is a pushforward.

The action of withdrawing something

The act or process of pulling back, especially an orderly troop withdrawal.

A retreat or retirement

A device for holding or drawing back

The removal of people from a place, as in the removal of troops from a military position.

The act or result of pulling back; a withdrawal.

Detachment, as from social or emotional involvement.

(film) The act of drawing a camera back to broaden the visible scene.

A removal of something that has been deposited, as in an account.

That which holds back, or causes to recede; a drawback; a hindrance.

Discontinuance of the use of a drug or other substance, especially one that is addictive.

(architecture) The iron hook fixed to a casement to pull it shut, or to hold it partly open at a fixed point.

The physiological and mental reaction to such discontinuance, often characterized by distressing symptoms

(finance) A reduction in the price of a financial instrument after reaching a peak

(Informal) A condition likened to that which is experienced when discontinuing use of an addictive substance

(sports) An attacking pass from the wing into a position further from the attacking goal line.

The act or an instance of retracting or revoking

(historical) A device for making a woman's gown hang close and straight in front.

Coitus interruptus.

(differential geometry) The map between cotangent bundles of manifolds corresponding to a smooth map between smooth manifolds, which at each point is the dual map to the corresponding pushforward.

Receiving from someone's care what one has earlier entrusted to them. Usually refers to money.

(category theory) The limit of a cospan: a Cartesian square or “pullback square”.

A method of birth control which consists of removing the penis from the vagina before ejaculation.

(category theory) Within a Cartesian square (which has a pair of divergent morphisms and a pair of convergent morphisms) the divergent morphism which is directly opposite to a given one of the convergent morphisms, said to be “along” the convergent morphism which is between that pair of opposite morphisms. (The pullback is said to be “of” the given morphism.)

A type of metabolic shock the body undergoes when a substance, usually a toxin such as heroin, to which a patient is dependent is withheld. Sometimes used with the substance as modifier.

That which holds back, or causes to recede; a drawback; a hindrance.

An act of withdrawing or a state of being withdrawn.

The iron hook fixed to a casement to pull it shut, or to hold it party open at a fixed point.

The sum of money taken from a bank account.

A device (as a decorative loop of cord or fabric) for holding or drawing something back;

The act of withdrawing; withdrawment; retreat; retraction.

(military) the act of pulling back (especially an orderly withdrawal of troops);

A retraction of a previously held position

The act of taking out money or other capital

The act of withdrawing

Avoiding emotional involvement

Formal separation from an alliance or federation

The termination of drug taking