##### Wiktionary

**pointwise**

a. (context mathematics English) Occurring or true for each point of a given set. adv. In a pointwise way.

##### Wikipedia

**Pointwise**

In mathematics, the qualifier **pointwise** is used to indicate that a certain property is defined by considering each value *f*(*x*) of some function *f*. An important class of pointwise concepts are the *pointwise operations* — operations defined on functions by applying the operations to function values separately for each point in the domain of definition. Important relations can also be defined pointwise.

#### Usage examples of "pointwise".

Hence there is no __pointwise__ connexion between the two and it is meaningless to say that the molecules of the grass are in any place which has a determinate spatial relation to the place occupied by the grass which we see.