... Acknowledgments The author thanks Herbert Wilf and Janet Beissinger, who was the first to explore [1] combinatorial proofs using colored permutations, for their assistance References [1] Janet Beissinger ... φ((π, f )) = (π, f ) Otherwise, let (i, j) ∈ R(π,f ) be minimal under the lexicographic ordering of R(π,f ) Let π = (i, j) ◦ π, the product ofthe transposition (i, j) and π in Sn Note that, ... that π ˜ π (π, f ) = φ((π, f )) if and only if R(π,f ) = ∅, or if and only if κ(π) = n (so π = en , the identity permutation of Sn ) and f : Kπ → A is injective Therefore |F ix(φ)| = (x)(x − 1)...
... picture 12 The picture is _ the wall Van Hoang Secondary School thinhtrandang@gmail.com 13 The armchairs aren’t far from the TV They are the TV 14 Hoa’s father works the farm _ the countryside ... o’clock, Mr Tuan (rest) _ and (eat) lunch At four in the afternoon, they (come) back home Mr Tuan (feed) _ the animals again Then he (clean) _ the buffalo shed and the chicken ... house is _ the books store and the school 22 The students are reading books _ the library 23 I usually buy a phone card _ the post office 24 The drugstore is _ the left ofthe hospital...
... working with Ep is the following energy estimate the proof can be found in 12 , see also 6, 13, 14 Journal of Inequalities and Applications Theorem 3.1 Let p > 0, and n ≥ Then there exists a constant ... in 1.4 , and if p all n ∈ N, k > 1, n 1.4 1, then we have the opposite inequality for In Section we will give an application of Inequality A within the pluripotential theory Proof of Inequality ... Journal of Inequalities and Applications Since Euler’s days the research of these special functions and their generalizations have had great impact on, for example, analysis, mathematical physics, and...
... analysis with one explanatory variable Thereafter, the variables that were associated with one ofthe outcome variables were considered for a multivariable analysis, providing that these associations ... number of LBP days was reported by patients with disc pain (median 35 days) and the class withthe lowest number of LBP days was muscle pain (median 12 days) Multivariable analysis The number of ... 0.01 Page of and in our analyses only one class was included in the analyses, consistent withthe intention ofthe classification system The main limitation of this pilot study was the relatively...
... out the meaning ofthe word than infer it from the context and thus making them miss the next part ofthe speech Listeners, therefore, need to develop skill of keeping up withthe speaker and ... stage is to give the students the opportunity to consider the attitude and manner ofthe speaker ofthe listening text It also aims at expanding the topics and the language ofthe listening texts ... considered the international means of communication in many fields of our life These days, the English language has become the global language It is the mother tongue of many countries over the world...
... Mathematical Analysis and Applications, vol 315, no 1, pp 29–40, 2006 B Xu and W Zhang, “Decreasing solutions and convex solutions ofthe polynomial-like iterative equation, ” Journal of Mathematical Analysis ... f ∈ A N1 , N2 Proof The existence of 1.2 in A N1 , N2 is given by Theorem 3.1, from the proof of Theorem 3.1, we see that A N1 , N2 is a closed subset of C1 I, I , by 3.12 and P3 , we see that ... Bulletin, vol W N Zhang, “Discussion on the iterated equation n λi f i x i 32, pp 1441–1451, 1987 Chinese F x ,” Acta Mathematica W N Zhang, “Stability ofthe solution ofthe iterated equation n λi...
... use of can/can‟t to talk about ability is mentioned The presentation of can/can‟t is quite simple The aim ofthe pictures is to illustrate the meaning of can/can‟t However, these activities in the ... The teacher can take advantage of these contexts or even prepare in advance another better context in her opinion in the form of handouts and deliver them to students The teacher can first ask students ... I.3 Scope ofthe study The scope of this study is limited to an applicable method of teaching grammar to the first- year students at EPU, based on the findings of my thesis and withthe assumption...
... However they are beyond the scope of this study The study only focuses on the verbal aspects and the data analysis of politeness and safe and unsafe topics The study is limited within thefirst ... the older and keep a bit distant between them This can be illustrated withthe percentage ofthe PPS - Offer, promise ofthe informants to their new 10 year older - neighbor (25.3%) and to their ... informants to their business partner in the office at thefirst encounter Overall, when the Vietnamese informants ask their business partner about work, they use more PPSs than NPSs and MPSs And the...
... agency ofthe Department of Agriculture Thefirst is the threat of fire and fuel This year, forest fires have burned more than three million hectares of land That is almost two times as much as the ... of different theories of management and different approached to organization has affected the way we view motivation In the 19th century, the writer Federick Taylor put forward the theory that ... words in the dictionary, what did you often do? a looked at its meaning only b looked at its pronunciation and meaning, then pronounced it in mind c looked at its pronunciation and meaning, then...
... vowels can be classified in terms of: (1) The height ofthe bulk ofthe tongue in the mouth (2) The front/back position ofthe tongue in the mouth (3) The degree of lip-rounding (4) The length of ... as the research was conducted during thefirst semester ofthe students’ first year, there were some problems relating to the consistency ofthe participants After thefirst two weeks ofthefirst ... and then ask the teacher to translate any utterances they wish to be able to speak in the target language The teacher then provides students withthe phrase they need orally After some time of...
... until the end ofthe 14th century Illiteracy was not seen as a problem until the end after the invention of printing in the 15th century Thefirst significant decline in illiteracy came withthe ... included an attack on illiteracy as one of their goals, withthe former Soviet Union, China, and Cuba being among the most successful in the 20th century According to the passage, the anti-illiteracy ... Read the passage carefully and choose the correct answer Direct attacks on illiteracy take two main forms, adult education and the establishment of public schools with compulsory attendance for...
... predilection in favour ofthe medicine: but I cannot advise them to this step, for I am certain they would then close the book, with much higher notions ofthe efficacy ofthe plant than what they would ... notes I find the following memorandum "February 20th, 1779, gave an account of Doctor Withering's An Account ofthe Foxglove and some of its by William Withering practice, withthe precautions ... woman with a scrophulous tumour ofthe eye, a remarkable swelling ofthe upper lip, and painful tumours ofthe joints ofthe fingers, much relieved; but the medicine was left off, on account of...
... connection withthe fresh water found in the Coral Islands, and the rise and fall ofthe wells, and the flow and ebb ofthe tide He advances the theory propounded by Darwin ofthe retention ofthe river-water, ... common to all the discoverers of unknown lands: the companions of Columbus ascribed them to the region ofthe Antilles; and Verrazani and Sir Walter Raleigh scented them off the coast of Carolina ... the brow of India;" the Chinese knew it as the "island of jewels;" the Greeks as the "land ofthe hyacinth and the ruby;" the Mahometans, in the intensity of their delight, assigned it to the exiled...
... 2, the answer is not 2, but – Thus, the answer is Equations with More than One Variable Many equations have more than one variable To find the solution, solve for one variable in terms ofthe other(s) ... where a and b represent the length ofthe legs and c reprecents the length ofthe hypotenuse This theorem allows you to find the length of any side as long as you know the measure ofthe other two ... IGHT T RIANGLES In a right triangle withthe other angles measuring 30 and 60 degrees: ■ ■ The leg opposite the 30-degree angle is half the length ofthe hypotenuse (And, therefore, the hypotenuse...
... anti-CD3-PE, anti-CD4APC-Cy7, anti-CD11b-PE-Cy7, anti-CD11c-APC, CD19PerCP-Cy5.5, anti-CD45.2-FITC, anti-NK1.1-PE, antiThy1.1-PerCP, anti-Thy1.2-PE, anti-TNFa-FITC, anti-IFNγPE and anti-IL-2-APC Anti-CD8-Pacific ... reveal the distribution of LCMV (green) following an intravenous infection with × 106 PFU of clone 13 Note the minimal amount of virus in the brain at day 10 and the complete inundation ofthe brain ... TNF-α and IFN-γ upon antigenic stimulation Given the unique pattern of viral clearance within the CNS of clone 13 infected mice, we set out to analyze the functional state of LCMVspecific CTL in the...