TITLE OF THE ARTICLE

I. SUBTITLE OF THE FIRST PART

BY

JOHN BROWN1, DANIEL JONSON2 and MARK ROBERTS1

Abstract. The abstract of the paper is to be written here. It contains the main ideas and original contributions and conclusions of the authors’ research.

Key words: key word one, key word two etc.

1. Introduction

The first paragraph (Sec. 1) begins here. It may have also another title, like Preliminaries, General Considerations etc. The number of paragraphs depends on the inner structure of the paper. The references are written [1]-[4] if you refer to all four or [1], [4]if you refer only to [1] and [4]. If you prefer to refer to a specific author in the references then it is written D y k e m a [2].

2. Paragraph Two

2.1.First Part of Paragraph two

2.1.1.The Starting Point. Here we give some examples in order to illustrate the aspect of a printed paper. Let start with a mathematical formula

(1) / .

We will refer to it as Eq(1).

Another equation is

(23) / .

We will refer to it as Eq(2).

Use the following size in Word equation editor:

a) full 11pt.;

b) subscript/superscript 8 pt.;

c) sub-subscript/superscript 6 pt.;

d) symbol 14 pt.;

e) sub-symbol 11pt.

2.1.2.An Intermediate Result. Let be another example,

(3) / ,

where: q is the shape factor, z – the depth, x – coordinate, A – a coefficient. The numerical values and the measure units are not italic. For example 2 m, 5 mm, 6 kg, 5 W, 10 kW, 7 ˚C, 10 K and not 2m, 5mm, 6Kg, 5 W, 10Kw, 7˚C, 10 K.

If you want to write time is 10 s or temperature is 20 degrees you must type t=10 s or τ = 20 ˚C (t and τ are italic).

2.2.The Second and Last Part of Sec. 2

This subsection (subparagraph) needs not to be split in more sections. Before and after a remark, definition , theorem, corollary and proof the space is 4 pts as it can be seen next

Remark 1. The Eqs. (1) and (2) may be numbered in an alternative form, as (2.1) and (2.2).

3. Some Details

Let be other types of situations.

D e f i n i t i o n 1. This is the first definition given as a first example.Some other exampleswill be given.

D e f i n i t i o n 2. This is the second definition. Many other definitions can be given.

Remarks. 1. The first definition may be numbered as Definition 3.1. It is not necessary to do so.

  1. The second definition is then denoted as Definition 3.2.
  2. This is the third remark.

In Fig. 1 are depicted two very familiar geometrical objects interesting not only the elementary geometry.

It can be seen a circle and a rectangle. In the drawings do not use very thin lines.

Fig.1 – Two geometrical objects:

a – circle; b – rectangle.

The left side of the figure is referred as Fig. 1a.

The results of some experiments are presented in Table 1. The units of measurement should be written either near the symbol of the respective quantity, or below it (no comma). The table looks like this:

Table 1

Results of the experiment

vi, m/s / ai, m/s2 / si
m
3.1 / 4.3 / 1.20
7.4 / 3.4 / 2.30

The values of Table 1are obtained very easy using a good device.

This table is referred as Table 1.

T h e o r e m 1. This is the first theorem given as a first example.

P r o o f. This is the first proof of the Theorem 1, which aims to convince of its validity.

T h e o r e m 2. This is a second theorem enlarging the restrictions imposed on the previous results.

P r o o f. The proof is similar to that given above.

L e m m a 1. This is a first lemma interesting the set of examples which we have here in mind.

P r o o f. The prove results as a result of the Theorem 2 and Lemma 1.

Remark. A corollary and a proposition are to be typed in the same way as theorems or lemmas.

C o r o l l a r y 1. This is the first corollary.

4. Conclusion

1. The first conclusion.

2. The second conclusion.

3. The third conclusion.

4. The forth conclusion

5. The sixth conclusion

6. The seventh conclusions.

Acknowledgements. The authors would like to thank Prof. John Doe for the support and constructive comments and also to the staff of the Transportation Laboratory.

Received: 1LancasterUniversity,

Department of Physics

Lancaster, United Kingdom,

e-mail:

2CairoUniversity, Faculty of Science

Department of Applied Mathematics

Giza, Egypt

e-mail:

R E F E R E N C E S

1. K a r n o p p D. C., M a r g o l i s D. L., R o s e n b e r g R. C., System Dynamics: A Unified Approach. John Wiley & Sons, New York-Chichester-Brisbane-Toronto-Singapore, 1990, pp. 210-218.

2. D y k e m a K., Interpolated Free Group Factors. Pacific. J. Math., 163, 1, 123-135 (1994).

3. A c c a r d i L., H u d s o n R., Quantum Stochastic Flows and Non Abelian Cohomology. In Quantum Probability and Applications. (A c c a r d i L., von W a l d e n f e l d s W., Eds.), Lect. Notes in Math., 1442, Springer Verlag, Berlin, 1990.

4. L a m o n t a n a r a L., Étude de l’influence de la microstructure du fer et d’alliages binaires fer pur-carbone sur le bruit ferromagnétique. Thèse, INSA, Lyon - France, 1994, 245 p.

5. Z e t u D., C a r a t a E., Sisteme flexibile de fabricaţie. Ed. Junimea, Iaşi, 1998.

6. I o n e s c u I., P o p e s c u C., Causality Aspects in Modelling. Bul. Ins. Polit. Iaşi, XLVIII(LII), 1-2, s. Matematică-Mecanică teoretică-Fizică, 215-220 (2002).

7. S t r o n b e r g E., T h o m s o n H., Modelling Dynamic Systems. Proc. 2nd European Control Conference ECC’93, Groningen-Holland, 1993, pp. 324-331.

8. S i l v a R. G. et al., A Neural Network Approach to Tool Wear Monitoring. 8th International Congress on Condition Monitoring and Diagnostic Engineering Management, Queen’s University, Kingston-Ontario, Canada, June, 26-28, 1995.

9.*** Mix Design Methods for Asphalt Concrete and Other Hot-Mix Types. Manual Series, 2 (MS-2), Asphalt Institute U.S.A., 1991.

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