Sentence examples for and hence invalid from inspiring English sources

Catholics may receive from the Chalice alone, or ask for gluten-reduced hosts; gluten-free ones however are not considered to still be wheat bread, and hence invalid matter.

is truth-valueless whenever A is (unless we make negations of truth-valueless statements true) and hence becomes invalid.

His laws were declared "passed by force," hence invalid.

In 2002, the Inter-American Commission on Human Rights declared it unfair and therefore invalid.

Obviously, the lack of basic information resulted in incorrect inferences and hence, the scientifically invalid claim.

The court ruled that Elizabeth had been "fraudulently induced" to sign the agreement and hence, the agreement was invalid.

Responses to this questionnaire were considered invalid and hence excluded if the total hours of activity reported per week exceeded the number of hours in a week.

Responses to this questionnaire were considered invalid and hence excluded if more than 25% of responses were missing, or if total energy intake was unrealistic (<4500 kJ or >20000 kJ) [ 23].

The second and third constraints enforce Mendelian mating requirements on individuals: an individual is invalid, and hence must be removed if it does not receive one allele from its mother and its other allele from its father.

For those authors who did not respond to emails, we were unable to ascertain whether this was because of incorrect or invalid contact information and hence non-receipt of our invitation.

Remark 4 If A is a linear unbounded mapping, then I − A may not be invertible and (3) is not satisfied, and hence the method used in Theorem 1 becomes invalid.