• Bulletin of the Korean Mathematical Society
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• v.53 no.1
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• pp.29-38
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• 2016

For a transcendental entire function f(z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial $f(qz)-a(f(z))^n$ and $f(q_1z)f(q_2z){\cdots}f(q_mz)-a(f(z))^n$. The property of entire solution of a certain q-difference equation is also considered.

• Korean Institute of Interior Design Journal
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• v.13 no.1
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• pp.46-53
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• 2004

This study has importance of that it verifies applicability of a new interpretation of surrealism to spatial design. Transcendental cognitive form of idealism, concept of time and space are premise of reality and surreality is finally condensed to the matter of time and space. Surrealistic techniques are automatic description, double association, montage and etc, and all of them are trials to approach to essence of images expressing unconsciousness through spatiotemporal changes of object. The purpose of this study is to find the surrealistic methods that can be applied to spatial design.

• Communications of the Korean Mathematical Society
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• v.22 no.3
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• pp.331-351
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• 2007

Let k be an imaginary quadratic field, h the complex upper half plane, and let $\tau{\in}h{\cap}k$, $q=e^{{\pi}i\tau}$. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.

• Communications of the Korean Mathematical Society
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• v.35 no.1
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• pp.229-241
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• 2020

For a second order linear differential equation f" + A(z)f' + B(z)f = 0, with A(z) and B(z) being transcendental entire functions under some restrictions, we have established that all non-trivial solutions are of infinite order. In addition, we have proved that these solutions, with a condition, have exponent of convergence of zeros equal to infinity. Also, we have extended these results to higher order linear differential equations.

• Bulletin of the Korean Mathematical Society
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• v.49 no.5
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• pp.911-921
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• 2012

In this paper, the radial oscillation of the solutions of higher order homogeneous linear differential equation $$f^{(k)}+A_{n-2}(z)f^{(k-2)}+{\cdots}+A_1(z)f^{\prime}+A_0(z)f=0$$ with transcendental entire function coefficients is studied. Results are obtained to extend some results in [Z. Wu and D. Sun, Angular distribution of solutions of higher order linear differential equations, J. Korean Math. Soc. 44 (2007), no. 6, 1329-1338].

• 제어로봇시스템학회:학술대회논문집
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• 1989.10a
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• pp.962-966
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• 1989

A Digital Signal Processor (abbreviated to DSP) is used not only for digital signal processing but also for kinematic controls[l]. Then applications to these fields are expected to be developed. We propose a function calculation method on DSP which occupies no table memory. By using these functions, more fast or more accurate control will be achieved without using function table.

• Journal of the Korean Institute of Telematics and Electronics
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• v.15 no.3
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• pp.30-34
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• 1978

A bridge inverter circuit with a paralled resonant circuit load is analyzed. The approach to the circuit analysis leads to reasonable reality. The limit of trigger frequency, the range of SCR turn-off time, the peak capacitor voltage and the relation between the load current and trigger rate are derived for the suitable design criteria. Numerical method is used for calculation of transcendental equation.

• Journal of applied mathematics & informatics
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• v.13 no.1_2
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• pp.29-36
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• 2003

In 1970 Monsky proved that a square cannot be cut into an odd number of triangles of equal areas. In 1990 it was proved that the statement is true for any centrally symmetric polygon. In the present paper we consider dissections of general polygons into triangles of equal areas.

• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.1-13
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• 1999

The purpose of this paper is to show that if the Fatou set F(f) of a CF-meromorphic function f has two completely invariant components, then they are the only components of F(f) and that the Julia set of the entire transcendental function $E_{\lambda}(z)={\lambda}e^z$ for 0 < ${\lambda}$ < $\frac{1}{e}$ contains a Cantor bouquet by employing the Devaney and Tangerman's theorem[10].

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.1-22
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• 2011

In this paper, a Lotka-Volterra model with time delays is considered. A set of sufficient conditions for the existence of Hopf bifurcation are obtained via analyzing the associated characteristic transcendental equation. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by applying the normal form method and center manifold theory. Finally, the main results are illustrated by some numerical simulations.