Sometimes corollaries have proofs of their own which explain why they follow from the theorem.

Sometimes, the lattice theorem is referred to as the fourth isomorphism theorem or the correspondence theorem.

Sometimes a loss of precision is necessary to make the semantics decidable ( see Rice's theorem, halting problem ).

Sometimes his result is called the theorem of de Moivre – Laplace.

Sometimes one or more roots of a polynomial are known, perhaps having been found using the rational root theorem.

Sometimes this theorem is also called Kirszbraun – Valentine theorem.

Sometimes the theorem is also referred to as the Lie – Kolchin triangularization theorem because by induction it implies that with respect to a suitable basis of V the image has a triangular shape ; in other words, the image group is conjugate in GL ( n, K ) ( where n = dim V ) to a subgroup of the group T of upper triangular matrices, the standard Borel subgroup of GL ( n, K ): the image is simultaneously triangularizable.

Sometimes called the Weierstrass theorem.

Sometimes it is necessary to roughly calculate the square inch area of the opening but the calculation can usually be made with sufficient accuracy that it won't affect the final computation.

Sometimes it is not a verbal stereotype -- a `` How are you now ''??

Sometimes even the number of syllables is not clear.

Sometimes sprouted wheat is added to bread and causes the children to remark, `` Lillian, did you put nuts in the bread today ''??

Sometimes a desired acreage is offered only as part of a larger tract.

Sometimes this is accompanied by visible shifts of the ground surface ; ;

Sometimes, however, the decision of the lower proceeding is itself admissible as evidence, thus helping to curb frivolous appeals.

Sometimes a significant amount of alcohol ( up to 27 % vol ) is added, as a carrier for the flavor, to provide " bite ".

Sometimes he is sociable, but at other times he shuts himself up in his room.

Sometimes it is possible to " see " anagrams in words, unaided by tools, though the more letters involved the more difficult this becomes.

Sometimes the whole space is taken up with the inscription.

Sometimes this dish is referred to as " chow mein " ( which literally means " fried noodles " in Cantonese ).

Sometimes it is instead only required that the faces that meet at one vertex are related isometrically to the faces that meet at the other.

Sometimes the Kaliningrad Oblast is called the Янтарный край, which means " the amber area ".

Sometimes the name Sporozoa is taken as a synonym for the Apicomplexa, or occasionally as a subset.

Sometimes an internal standard is added at a known concentration directly to an analytical sample to aid in quantitation.

Sometimes medication is combined with psychotherapy but research has found that there is no benefit of combined pharmacotherapy and psychotherapy versus monotherapy.

Sometimes this non linearity is deliberately designed in to reduce the audible unpleasantness of hard clipping under overload.

Sometimes this is referred to as " hornbook law " meaning treatise or textbook, often relied upon as authoritative, competent, and generally accepted in the field of Canadian law.

Sometimes a misdealt card ( such as one of the down cards in poker that has flashed during the deal ) will be used as the burn card — in those cases, the card should be immediately placed face up on the deck after the deal is complete.

Sometimes, especially in computer science, the term is used for any binary function.

Sometimes this carries jurisdiction over metropolitan bishops, but usually it is purely honorific.

Sometimes in desert warfare, there is no nearby town name to use ; map coordinates gave the name to the Battle of 73 Easting in the First Gulf War.

Sometimes a full tree is ambiguously defined as a perfect tree.

Sometimes a philosophical theory by itself can be stated quite briefly.

Ceramic type from from the collections of University of Reading. Sometimes it is erroneously stated that printing with metal type replaced the earlier methods.

Sometimes the law is stated using the reciprocal in this equation:

Sometimes a narrower range is stated, such as.

Sometimes the requirement that the operation be valued in a set is explicitly stated, in which case it is known as the axiom of closure.

Sometimes the scale notation isn't used ... it's simply stated ; " my model is one eighth ( 1 / 8 ) scale " meaning ; " my model is one eighth the size of the real airplane " or " my model is eight times smaller than the real airplane ".

Sometimes it is incorrectly stated that curses was used by the vi editor.

" He also stated that " Sometimes, I think we give away too many datukships ... it dilutes and devalues the award.

Sometimes these were stated to be conflicts with Saxons, sometimes with people of unspecified origin.

Sometimes a syllogism that is apparently fallacious because it is stated with more than three terms can be translated into an equivalent, valid three term syllogism.

Sometimes " knots " is mistakenly stated as " knots per hour ," but the latter is a measure of acceleration ( i. e., " nautical miles per hour per hour ") rather than of speed.

When asked if she changed the truth to improve her story, she stated, " Sometimes I make a diameter from a composite of three or four people, because the essence in only one person is not sufficiently strong to be written about.

Sometimes a copy of a limited edition book is stated as being " out of series ": this is an unnumbered copy, often a review copy.

" Rule stated that he enjoyed working with Lopez, and that it was a " real collaboration " by saying " Sometimes when you do a collaboration with an artist it's not real collaborations [...] ' Send me a reel here.

Former Argentine national team captain Roberto Ayala and defender under Bielsa stated " Sometimes we wouldn't see any of the strikers, because he'd have them training at a different time, and it was the same with the midfielders.