Sentence examples for and proofs for from inspiring English sources

I had just started eighth grade in my all-girls school, and we were introduced to geometry and, in particular, to theorems and proofs for the first time.

We were not able to find these corrected statements and proofs for a bifurcation from infinity anywhere in the literature.

It is a source of deep satisfaction that his mother completed reading his book, and proof for him that he has achieved the accessibility he clearly craves.

We can simplify this definition by observing that all three cited areas are types of being: objective reality obviously is, but so is knowledge, and so also are meaning, consciousness, value and proof, for example.

Data were entered into an Excel (Microsoft Office 2011) database and proofed for entry errors.

The Mint sold the silver sets, in both uncirculated and proof, for more than a decade before ending sales at the end of 1986.

The caries-preventive benefits of fluoride are well-known established and proofed for decades [ 3].

In preparation for analyses, data were entered into an Excel spreadsheet and proofed for data-entry errors.

The assembled sequences were manually edited and proofed for spurious assemblies, un-called bases, and reverse-complementarity.

It has to be stated critically that the hospital quality reports could not have been validated and proofed for comprehensiveness.

Although SFGR have been reported in Southeast Asia and proof for their presence in Indonesia is accumulating (2, 12 ), these rickettsia were not identified as a cause of AUF in the present study.