/i POWER RESIDUES CONGRUENT TO ONE
نویسنده
چکیده
In Theorem 2, we shall show that the only integers having property P(n), where n is an odd positive integer, are -2, -1, 1, and 2. In Theorem 3, we shall determine the integers which have property P(n) , where n is an even positive integer. In particular, we shall show that: m has property P(4) iff m divides 240 = 2̂ 3 -5 m has property P(6) iff m divides 504 = 23 * 7 m has property P(8) iff m divides 480 = 2 • 3 • 5 77? has property P(10) iff m divides 264 = 23 • 11 77? has property P(12) iff 777 divides 65,520 = 235 -7-13
منابع مشابه
Location optimization of agricultural residues-based biomass plant using Z-number DEA
Co-firing biomass plants are of extensive demand due to utilization of both agricultural residues (main) and natural gas (stand-by). Researchers have shown that one strategic decision in establishment of agricultural residues based plants, is location optimization problem. Moreover, mismatch between agricultural lands and biomass plants can lead to high transportation costs and related carbon d...
متن کاملO-acylation of hydroxyproline residues: effect on peptide-bond isomerization and collagen stability.
In collagen, strands of the sequence XaaYaaGly form a triple-helical structure. The Yaa residue is often (2S,4R)-4-hydroxyproline (Hyp). The inductive effect of the hydroxyl group of Hyp residues greatly increases collagen stability. Here, electron withdrawal by the hydroxyl group in Hyp and its 4S diastereomer (hyp) is increased by the addition of an acetyl group or trifluoroacetyl group. The ...
متن کاملEffect of sulfonylurea herbicides residues on growth and yield of sunflower in rotation with wheat
To evaluate the effect of residue of sulfonylurea herbicides and wheat residues on the growth and yield of sunflower, a split factorial experiment was conducted based on a randomized complete block design (RCBD) with four replications at the College of Agriculture, Shiraz University, Shiraz, Iran. The treatments included with and without wheat residues from the tested farm as the main plots, a...
متن کاملThe Comparative Effect of Visual vs. Auditory Input Enhancement on Learning Non-Congruent Phrasal Verbs by Iranian EFL Learners
Vocabulary is one of the essential components of language and learning phrasal verbs as part of vocabulary is quite challenging for foreign language learners. The present study aimed at investigating the effects of visual and auditory input enhancement on learning non-congruent phrasal verbs. The participants of the study were 90 intermediate English language learners who were divided into two ...
متن کاملIrreducible and connected permutations
A permutation π of [n] = {1, 2, . . . , n} is irreducible if π([m]) = [m] for no m ∈ [n], m < n, and it is connected if for no interval I ⊂ [n], 2 ≤ |I| ≤ n − 1, the image π(I) is an interval. We review enumeration of irreducible permutations and their appearances in mathematics. Then we enumerate connected permutations. Asymptotically, there are n!/e2 of them and exactly (for n > 2) their numb...
متن کامل