In the proof, we treated f as a total function rather than a partial one, ensuring every input had an output.

Many historians contend that the industrial revolution increased the destructive capacity of total war by allowing nations to mobilize civilian industry alongside their armies.

For the anterior restoration, she chose a total-etch protocol to ensure strong bonding to the enamel.

After the accident, he feared he would never regain total recall of the events that led up to it.

Historians debate whether the First and Second World Wars should be classified as total wars.

We drove to the mountaintop to watch the total eclipse darken the sky and reveal the corona.

The coach taught the youth team how to implement total football so the players could switch roles without losing their defensive shape.

The dashboard displays the total orders for each region alongside revenue and customer ratings.

The relation R is left total, meaning that for every element a in A there exists an element b in B such that (a,b) ∈ R.

The relation R ⊆ A × B is right total, since for every b ∈ B there exists an a ∈ A with (a, b) ∈ R.