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To establish these results, he introduced transformations among the variables of the problem, using a result equivalent to the binomial theorem for integral exponents.
A result equivalent to (40) was obtained by Gray (1978) by applying unspecified vector algebra to (21).
A result equivalent to Theorem 2.7 is clearly valid in this case, with nontrivial solutions belonging to the cone (3.1).
It supports the evaluation with arithmetic circuits and ensures obtaining, after decryption, a result equivalent to the same circuit applied over plaintexts.
Homomorphic encryption (HE) Homomorphic encryption schemes have the property of conserving some plaintext structure during the encryption process, allowing the evaluation of certain functions over ciphertexts and obtaining, after decryption, a result equivalent to the same computation applied over plaintexts.
However, elimination of these data either separately or together improved the fit but not to give a result equivalent to that for the fit for the closed state.
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This alternative model yields results equivalent to those presented here (data not shown).
Prerequisite: CHNS 155, CHNS 162, placement results equivalent to L5, or permission of instructor.
The report first identifies a jump in results – equivalent to 1.2 GCSE grades in one subject – in the year before converting to academy status.
A Cambridge University study found that spending an extra hour a day of TV, internet or gaming time in year 10 saw a fall in GCSE results equivalent to two grades overall.
The ancient Chinese arrived at measures of inaccessible heights and distances by another route, using "complementary" rectangles, as seen in the next figure, which can be shown to give results equivalent to those of the Greek method involving triangles.
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CEO of Professional Science Editing for Scientists @ prosciediting.com