determination of the logarithm of a number

... elementary arguments from the geometry of numbers and linear algebra Acknowledgments The authors are grateful for the hospitality of the American Institute of Mathematics, where the first phase of ... Annals of Mathematics, 163 (2006), 723–741 The number of extensions of a number field with fixed degree and bounded discriminant By Jordan S Ellenberg and Akshay Venkatesh* Abstract We give an ... controlling the 3-class numbers of the quadratic subextensions; this can be done using the results of [6].) In the latter case, we can refine the argument above; let bM (Y ) be the number of quadratic...

Ngày tải lên: 06/03/2014, 08:21

... company is the total par value of the number of issued shares The number of issued shares is the number of shares fully paid up to the company by shareholders The charter capital of a shareholding ... company chairman and the director (general director) in the case of a limited liability company; the chairman of the board of management and the director (general director) in the case of a shareholding ... company; all partners in the case of a partnership; and the owner in the case of a private enterprise shall be liable for the truthfulness and accuracy of the amount certified as legal capital...

Ngày tải lên: 27/03/2014, 10:15

... programs aboard by 2007 students who knew the answer of the test is very small crows are eating the grass applicants had been interviewed students absent from the class is Key: The number ... decrease, fall, rise…(trừ V ngoại động từ câu theo ngh a Con người tăng/giảm việc làm đó) C- Thực hành nhé! Điền The number of hay A number of students had participated in intensive language ... - A number of + N- đếm số nhiều: A number of có ngh a tương tự “Many”, Các bạn học many + N đếm số nhiều (Thường N người, động vật,…) mang ngh a “Nhiều”, “Một số” V theo sau chia số nhiều theo...

Ngày tải lên: 22/07/2016, 08:52

... childhood A a large number of B a great deal of C a few D many 28) Peter has spent time and money on stamp collecting A a few of B many of C a great deal of D a large number of 29) I have got ... many C few D a great deal 42) He made very mistakes A much B many C little D a number of 43) They know about what to A many B few C little D the number of 44) children are ill-prepared ... 37) Thank you very for your help A many B much C a lot of D little 38) He is very rich He has money in the bank A a great deal of B many C a large number of D few 39) She put too sugar...

Ngày tải lên: 28/07/2014, 07:21

... birth to a baby and another and another, this woman has given birth to a baby and another and another and another and another and another Football team scores NEWS World Weather London Paris a j by ... scored again and again after the midway point The official attendance was “as many as the ground holds” Football results Spain: a lot of goals Italy: not quite so many Colombia: no goals Nigeria: ... Pascal’s triangle Chinese mathematicians knew about Pascal’s triangle at least 900 years ago Pascal’s pinball Pascal’s triangle has links to two very important branches of maths: probability and...

Ngày tải lên: 27/10/2014, 17:35

... physiologically relevant range Most studied metabolites in brain are Acetate, N-Acetyl aspartate (NAA), N-Acetylaspartylglutamate (NAAG), Alanine, Choline, Creatine, Glutamate, Glycine, Myo-inositol, Lactate, ... compounds may indicate loss of energy and activity in brain All these facts, loss of NAA, presence of acetate and absence of mono-sacchride and myo-inositol of sample NNI1, indicate that the major activities ... To apply the Matlab program to analyze experimental data, a number of parameters are needed, such as start point and end point of HRMAS 1HMR spectrum, the total points The detailed experimental...

Ngày tải lên: 10/11/2015, 11:35

... industry Within the American society, there are many races such as white, black or African-American, American Indian or Alaska native, Asian, native Hawaiian, other Pacific Islander and ethnic groups ... jackets and cravats, spats and canes, elegant garden parties and martinis… This was a world of so elegantly distant from ours, it was like a voyage to another galaxy.” (p.1090) By then, all the advantages ... was welcomed by the American great anxiety and fear after the suicide attack by the Islamic extremist’s organization named Al-Qaeda on the Twin Towers of the World Trade Center and the Pentagon,...

Ngày tải lên: 07/11/2012, 15:01

... curve and the regression equation The average recovery test was made using the standard addition method, and the RSD was generally good when obtained from a series of six plasma samples These ... precipitated and removed by centrifugation The nal plasma samples used in the determination of GSH were obtained In order to evaluate the applicability of the proposed method, uorescence determination ... formula C = KS0 S, where K = (standard deviation = 1.36), obtained from a series of 11 reagent blanks, and S is the slope of the standard curve The relative standard deviation was 2.5%, obtained...

Ngày tải lên: 07/03/2014, 05:20

... where A and B are the MICs of drug A and drug B in the combination, MICA and MICB are the MICs of drug A and drug B alone, FICA and FICB are the FICs of drug A and drug B and n is the number of ... ML, Maisetta G, Di Luca M, Gaddi LM, Esin S, Florio W, Brancatisano FL, Barra D, Campa M & Batoni G (2008) Comparative analysis of the bactericidal activities of amphibian peptide analogues against ... represents the first example of the effects of an antimicrobial peptide from frog skin on the proteome of bacteria, and demonstrates that the bacterial membranes are the major targets of its mechanism of...

Ngày tải lên: 16/03/2014, 00:20

... overall information on a DNA or RNA population, not a local one (e.g a partial sequence of a DNA or RNA molecule [18,26]) Although theoretical calculations, such as nearest-neighbour analysis, can ... 5¢-ATGGCCTGAG*AGCCACCC-3¢ (G* as the marker); and primer 3: 5¢-TCAG*AGGCCACAAACCA CAC-3¢ (G* as the marker) were synthesized using an Applied Biosystems DNA synthesiser The markers indicated in each oligonucleotide ... determine whether the expected secondary structure can or cannot form through denaturation and renaturation manipulations, the fast annealing (fast renaturation) and slow annealing (slow renaturation)...

Ngày tải lên: 23/03/2014, 13:20

... fatty acid; no information was available about the fatty acid distribution on the proximal GlcN Analysis of intact lipid A and ammonium hydroxide treated lipid A fractions The negative ion MALDI-TOF ... Geoffroy, V .A. , Alatossava, T & Meyer, J.M (2000) Application of siderotyping for characterization of Pseudomonas tolaasii and ÔPseudomonas reactansÕ isolates associated with brown blotch disease of cultivated ... MALDI-TOF mass spectra of de-O-acylated lipid A from Ps reactans tetrahydrofurane The resulting negative ion MALDI-TOF mass spectrum (Fig 1a) showed a peak at m/z 894.9 in agreement with the presence...

Ngày tải lên: 24/03/2014, 00:21

... This lemma is a variant of the classical Laplace method of asymptotic analysis in the case of the Birkhoff polytope Bk , i.e., the set of all k × k doubly stochastic matrices For a matrix A ∈ Bk ... Annals of Mathematics, 162 (2005), 1335–1351 The two possible values of the chromatic number of a random graph By Dimitris Achlioptas and Assaf Naor* Abstract Given d ∈ (0, ∞) let kd be the ... inequality: for any nonnegative random variable X, Pr[X > 0] ≥ (EX)2 /EX THE CHROMATIC NUMBER OF A RANDOM GRAPH 1337 Specifically, the number of k-colorings of a random graph is the sum, over all...

Ngày tải lên: 29/03/2014, 07:20

... Ontario, Canada) or New England Biolabs (Pickering, Ontario, Canada) All other chemicals were of analytical grade and were obtained from Sigma-Aldrich and Fisher Scientific (Nepean, Ontario, Canada) ... catalytic rather than just a substrate binding role Possible roles of the cation include the activation of water for the hydration reaction and ⁄ or the stabilization of the anion transition state ... where V is the initial velocity at various concentrations of metal ions [M], and Vmax is the maximal catalytic rate at saturating metal ion concentration [31] Determination of number of magnesium...

Ngày tải lên: 30/03/2014, 15:20

Ngày tải lên: 12/07/2014, 06:00

... its drawbacks as we shall see; it is the main reason why a two point concentration (rather than a far more desirable one point concentration) will be obtained at the end of this section The problem ... rapidly the expected value of Xr changes from zero to infinity if p is smaller than required in Lemma A related set of results, to form the subject of another paper, can be obtained on using a ... careful analysis than that leading to Lemma – with the focus being on allowing ε to get as large as needed to yield (Xr ) → ∞ We next need to obtain careful estimates on the variance Î(Xr ) of...

Ngày tải lên: 07/08/2014, 06:22

... set {DG (X)} has a maximum element? Another approach would simply be to define the distinguishing number of an action to be the cardinality of the smallest set of colors admitting a distinguishing ... the action of Sk Acknowledgments This research was conducted at the University of Minnesota Duluth Research Experience for Undergraduates, while the author was a student at Yale University The ... that any subgroup L of G/N has the property that D(L) ≤ c Then D(G) ≤ c + Proof The case G = is trivial Suppose that a nontrivial group G acts faithfully on a set X Choose a set U of representatives...

Ngày tải lên: 07/08/2014, 13:21

... functions and the Tutte polynomial Preprint [10] Stanley, R P.: Hyperplane arrangements, parking functions and tree inversions In: Sagan, B and Stanley, R (eds) Mathematical Essays in Honor of Gian-Carlo ... invA be the number of inversions in A The inversion enumerator Jn (y) is then defined as the generating function of spanning trees arranged by number of inversions, that is, y invA , Jn (y) = A ... is an increasing tree where all the vertices have at most edges going out A remarkable result stated in [4] and proved in [5] (see also a bijective proof in [3]) is that an equals the number of...

Ngày tải lên: 07/08/2014, 15:22

... degree at least two and maximum degree at least three Let S be the set of all small vertices of G and L the set of all large vertices of G Consider the graph G − L = G[S] induced by the small vertices ... attaching a copy of H to a vertex v in a graph G we mean adding a copy of H to the graph G and joining v with an edge to the link vertex of H We call v an attached vertex in the resulting graph We ... vertex in the attached copy of Z and the link vertex in the attached copy of X Deleting these three vertices in the attached copies of X and Z from the set S and adding to the resulting set the vertex...

Ngày tải lên: 07/08/2014, 15:23

... of the quantum chromatic number is in Hadamard graphs [7, 5], which are a special case of orthogonality graphs, so it is natural to consider the larger family An orthogonal representation of a ... that we need are that its columns form an orthonormal basis and the entries all have the same modulus So the (normalized) character table of any Abelian group of order c will (as will a generalized ... use the analysis in section and in particular the last observation 3: we can view the quantum colouring as a family of × 3-unitaries Uv such that eq (3) The columns of the unitaries are just the...

Ngày tải lên: 07/08/2014, 15:23

... and so in this case the number of crossings in D is within a constant factor ∆2 /(8cg ) of crg (G) Remark 4.2 In the planar case of Theorem 1.2, the described approximation algorithm yields a ... edges of C ∗ Then G − F is actually a plane embedding, and we easily add the edges of F back to G − F , making a plane drawing D with at most |F | pairwise crossings This whole algorithm can run ... Computing the orientable genus of projective graphs Journal of Graph Theory 20 (1995), 297–308 [8] M Juvan, A Malniˇ, and B Mohar Systems of curves on surfaces, Journal of c Combinatorial Theory...

Ngày tải lên: 07/08/2014, 15:23