# Negative vs. Inverse

## Difference Between Negative and Inverse

Not positive or neutral.

Opposite in effect, nature or order.

(physics) Of electrical charge of an electron and related particles

Reverse, opposite in order.

(mathematics) Of a number: less than zero

(botany) Inverted; having a position or mode of attachment the reverse of that which is usual.

Denying a proposition.

(mathematics) Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.

Multiplication is the inverse operation to division.

Damaging; undesirable; unfavourable.

(geometry) That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.

A circle inversion maps a given generalized circle to its inverse generalized circle.

Often used pejoratively: pessimistic; not tending to see the bright side of things.

Whose every element has an inverse (morphism which is both a left inverse and a right inverse).

Of or relating to a photographic image in which the colours of the original, and the relations of left and right, are reversed.

#### Inversenoun

An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.

Cowgirl is the inverse of missionary.321 is the inverse of 123.

(chemistry) Metalloidal, nonmetallic; contrasted with positive or basic.

The nitro group is negative.

#### Inversenoun

The result of an inversion, particularly:

Often preceded by emotion, energy, feeling, or thought: to be avoided, bad, difficult, disagreeable, painful, potentially damaging, unpleasant, unwanted.

#### Inversenoun

The reverse of any procedure or process.

Uninstalling is the inverse of installation.

Characterized by the presence of features which do not support a hypothesis.

#### Inversenoun

(mathematics) A ratio etc. in which the antecedents and consequents are switched.

The inverse of a:b is b:a.

#### Negativenoun

Refusal or withholding of assents; prohibition, veto

#### Inversenoun

(geometry) The result of a circle inversion; the set of all such points; the curve described by such a set.

The inverse P‘ of a point P is the point on a ray from the center O through P such that OP × OP‘ = r² or the set of all such points.

#### Negativenoun

(law) A right of veto.

#### Inversenoun

(logic) The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.

"Anything that isn't a dog doesn't go to heaven" is the inverse of "All dogs go to heaven." More generally, $\lnot\mathsf\left\{p\right\}\to\lnot\mathsf\left\{q\right\}$ is the inverse of $\mathsf\left\{p\right\}\to\mathsf\left\{q\right\}$ and is equivalent to the converse proposition $\mathsf\left\{q\right\}\to\mathsf\left\{p\right\}$.

#### Negativenoun

(photography) An image in which dark areas represent light ones, and the converse.

#### Inversenoun

(mathematics) A second element which negates a first; in a binary operation, the element for which the binary operation—when applied to both it and an initially given element—yields the operation's identity element, specifically:

#### Negativenoun

(grammar) A word that indicates negation.

#### Inversenoun

(addition) The negative of a given number.

The additive inverse of $x$ is $-x$, as $x-x=0$, as $0$ is the additive identity element.

#### Negativenoun

(mathematics) A negative quantity.

#### Inversenoun

(multiplication) One divided by a given number.

The multiplicative inverse of $x$ is $x^\left\{-1\right\}$, as $x \times x^\left\{-1\right\}=1$, as $1$ the multiplicative identity element.

#### Negativenoun

(weightlifting): A rep performed with weight in which the muscle begins at maximum contraction and is slowly extended; a movement performed using only the eccentric phase of muscle movement.

#### Inversenoun

(functions) A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.

The compositional inverse of a function $f$ is $f^\left\{-1\right\}$, as $f\ f^\left\{-1\right\}=\mathit\left\{I\right\}$, as $\mathit\left\{I\right\}$ is the identity function. That is, $\forall x,f\left(f^\left\{-1\right\}\left(x\right)\right)=\mathit\left\{I\right\}\left(x\right)=x$.

#### Negativenoun

The negative plate of a voltaic or electrolytic cell.

#### Inversenoun

(category theory) A morphism which is both a left inverse and a right inverse.

#### Negativeverb

(transitive) To refuse; to veto.

#### Inversenoun

(card games) The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.

#### Inversenoun

A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

#### Negativeverb

(transitive) To disprove.

#### Inverseverb

(surveying) To compute the bearing and distance between two points.

#### Negativeverb

(transitive) To make ineffective; to neutralize.

#### Inversenoun

something inverted in sequence or character or effect;

when the direct approach failed he tried the inverse

#### Negativeinterjection

An elaborate synonym for no.

reversed (turned backward) in order or nature or effect

#### Negativenoun

opposite in nature or effect or relation to another quantity ;

a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases)

#### Negativenoun

a piece of photographic film showing an image with black and white tones reversed

#### Negativeverb

vote against; refuse to endorse; refuse to assent;

The President vetoed the bill

characterized by or displaying negation or denial or opposition or resistance; having no positive features;

a negative outlook on lifea colorless negative personalitya negative evaluationa negative reaction to an advertising campaigna positive attitudethe reviews were all positivea positive benefita positive demand

reckoned in a direction opposite to that regarded as positive

having a negative electric charge;

electrons are negativeprotons are positive

expressing or consisting of a negation or refusal or denial

having the quality of something harmful or unpleasant;

ran a negative campaigndelinquents retarded by their negative outlook on life

not indicating the presence of microorganisms or disease or a specific condition;

the HIV test was negative

less than zero;

a negative number

designed or tending to discredit, especially without positive or helpful suggestions;

negative criticism

minus (or negative) factors

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