Elementary Mathematics

The main contents of the chapter consist of the following: Script m-file, editor/debugger window, cell mode, using built-in functions, using the HELP feature , window HELP screen, elementary math functions, rounding functions, discrete mathematics, trigonometric function, data analysis function.

21p nanhankhuoctai10 23-07-2020 16 2   Download

Purpose of study: The research aims to propose some pedagogical measures to train skill in DAS ITS in Mathematic for Primary Education students; Subject of study: Methods to training the primary education students the skill in DAS ITS in mathematic.

27p prisonbreak123 21-05-2021 46 4   Download

The purpose of the study: The dissertation studies how to design learning situations and demonstrates that designed learning situations can support assessing the calculation capacity of senior primary school graders through experiential activities. Accordingly, the dissertation proposes orientations to improve students' calculation capacity in the teaching process, contributing to improving the effectiveness of mathematics teaching in primary school.

27p prisonbreak123 21-05-2021 30 4   Download

In the present study, we investigated lipid biosynthesis in the bacterium Escherichia coliby mathematical modeling. In particular, we studied the interaction between the subsystems producing unsaturated and saturated fatty acids, phospholipids, lipid A, and cardiolipin.

12p mobifone23 18-01-2013 49 5   Download

Bowen’s formula relates the Hausdorff dimension of a conformal repeller to the zero of a ‘pressure’ function. We present an elementary, self-contained proof to show that Bowen’s formula holds for C 1 conformal repellers. We consider time-dependent conformal repellers obtained as invariant subsets for sequences of conformally expanding maps within a suitable class.

55p dontetvui 17-01-2013 58 8   Download

We exhibit a counterexample to Elliott’s classification conjecture for simple, separable, and nuclear C∗ -algebras whose construction is elementary, and demonstrate the necessity of extremely fine invariants in distinguishing both approximate unitary equivalence classes of automorphisms of such algebras and isomorphism classes of the algebras themselves.

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We prove that Cayley graphs of SL2 (Fp ) are expanders with respect to the projection of any fixed elements in SL(2, Z) generating a non-elementary subgroup, and with respect to generators chosen at random in SL2 (Fp ). 1. Introduction Expanders are highly-connected sparse graphs widely used in computer science, in areas ranging from parallel computation to complexity theory and cryptography; recently they also have found some remarkable applications in pure mathematics; see [5],[10], [15], [20], [21] and references therein. ...

19p dontetvui 17-01-2013 51 7   Download

We prove that a nonrenormalizable smooth unimodal interval map with critical order between 1 and 2 displays decay of geometry, by an elementary and purely “real” argument. This completes a “real” approach to Milnor’s attractor problem for smooth unimodal maps with critical order not greater than 2. 1. Introduction The dynamical properties of unimodal interval maps have been extensively studied recently. A major breakthrough is a complete solution of Milnor’s attractor problem for smooth unimodal maps with quadratic critical points. ...

23p noel_noel 17-01-2013 52 9   Download

Let X be a projective manifold and f : X → X a rational mapping with large topological degree, dt λk−1 (f ) := the (k − 1)th dynamical degree of f . We give an elementary construction of a probability measure µf such that d−n (f n )∗ Θ → µf for every smooth probability measure Θ on X. We show t that every quasiplurisubharmonic function is µf -integrable. In particular µf does not charge either points of indeterminacy or pluripolar sets, hence µf is f -invariant with constant jacobian f ∗ µf = dt µf...

20p noel_noel 17-01-2013 46 5   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài: In Praise of an Elementary Identity of Euler...

44p thulanh7 05-10-2011 53 4   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài:Elementary Proofs for Convolution Identities of Abel and Hagen–Rothe...

5p thulanh7 03-10-2011 50 4   Download