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### Implementation of Adaptive "E-School" System

S. Tosheva, N. Stojkovikj, A. Stojanova, B. Zlatanovska, C. Martinovski Bande
2017
B. Representation of domain knowledge In the previous section, we saw that there are two kinds of relations between the concepts of the domain.  ...  Structure of the application B. Adaptability of a system The E-school system continually follows the progress of each student and if necessary appropriate changes are done in the database.  ...

### APPROXIMATION FOR THE SOLUTIONS OF LORENZ SYSTEM WITH SYSTEMS OF DIFFERENTIAL EQUATIONS

Biljana Zlatanovska
2017 Matematicki bilten
b q = y (q) (0), c s (≈) = c s = z (s) (0) and they are: a 1 = σ(b 0 − a 0 ), b 1 = ra 0 − b 0 , c 1 = a 0 b 0 , a 2 = σ(b 1 − a 1 ), b 2 = ra 1 − b 1 − a 0 c 1 , c 2 = −bc 1 + a 0 b 1 + a 1 b 0 a 3 =  ...  σ(b 2 − a 2 ), b 3 = ra 2 − b 2 − 1 i=0 2 i a i c 2−i , c 3 = −bc 2 + 2 i=0 2 i a i b 2−i a 4 = σ(b 3 − a 3 ), b 4 = ra 3 − b 3 − 2 i=0 3 i a i c 3−i , c 4 = −bc 3 + 3 i=0 3 i a i b 3−i , a 5 = σ(b 4 −  ...

### MODELS FOR THE LORENZ SYSTEM

Biljana Zlatanovska
2018 Matematicki bilten
x (p) (0), b q (≈) = b q = y (q) (0) , c s (≈) = c s = z (s) (0) and they are: a 1 = σ(b 0 − a 0 ); b 1 = ra 0 − b 0 − a 0 c 0 ; c 1 = −bc 0 + a 0 b 0 a 2 = σ(b 1 − a 1 ); b 2 = ra 1 − b 1 − 1 i=0 1 i  ...  a i c 1−i ; c 2 = −bc 1 + 1 i=0 1 i a i b 1−i a 3 = σ(b 2 − a 2 ); b 3 = ra 2 − b 2 − 2 i=0 2 i a i c 2−i ; c 3 = −bc 2 + 2 i=0 2 i a i b 2−i a 4 = σ(b 3 − a 3 ); b 4 = ra 3 − b 3 − 3 i=0 3 i a i c 3−  ...

### SYSTEMS OF DIFFERENCE EQUATIONS APPROXIMATING THE LORENZ SYSTEM OF DIFFERENTIAL EQUATIONS

Biljana Zlatanovska, Dončo Dimovski
2017 Prilozi: Makedonska Akdemija na Naukite i Umetnostite. Oddelenie za Prirodno-matematički i Biotehnički Nauki
A b s t r a c t: In this paper, starting from the Lorenz system of differential equations, some systems of difference equations are produced.  ...  r b b r b r b ra c b ra r b ra b b ra b b ra b ra b b ra b ra ra b a ra c b ra c ra c a ra b a ra a ra ra r b ra r ra r ra b ra b ra b ra ra b ra b ra ra b ra ra L n n σ σ σ σ σ σ σ σ σ σ σ σ σ σ σ σ σ  ...  bc bc b a c b a b a b a b a b a a b a c r b a b c r b a c r b a b a b b a b b a b b a b a b b a b b a b a b b a b a E n n − − − − − − − − − + − − − − − − − − − − − − − − + + + + − − − − − − − − − − − −  ...

### Modeling of Some Chaotic Systems with AnyLogic Software

Biljana Zlatanovska, Natasha Stojkovikj, Mirjana Kocaleva, Aleksandra Stojanova, Limonka Koceva Lazarova, Roman Gobubovski
2018
The Chen system has two equilibrium points and they are ) 2 , ) 2 ( , ) 2 ( ( a c a c b a c b − − ± − ± .  ...  Modeling of the Rossler system The Rossler system is given by ( ) x y z y x ay z b z x c = − − = + =+ −    where a, b and c are real parameters.  ...

### The Effect of Blended Learning in Mathematics Course

Ya-Wen Lin
2016 Eurasia Journal of Mathematics, Science and Technology Education
ability (B) 0.058 2 0.029 0.278 A×B 0.156 2 0.078 0.748 error 2.079 20 0.104 total 3.562 26 Imp gender(A) 0.527 1 0.527 5.423 * ability (B) 0.489 2 0.244 2.515 * A×B 0.086  ...  288.569 2 144.285 1.064 A×B 60.820 2 30.410 0.224 error 2711.096 20 135.555 total 15471.630 26 Con gender(A) 0.028 1 0.028 0.862 ability (B) 0.005 2 0.002 0.074 A×B 0.052  ...