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With these tools anyone, whether a layperson or an expert, can quickly and efficiently process or design both ordinary and scientific documents. From now everyone from all levels of knowledge (educational system, technical and professional sectors, public and private administrations) have a new opportunity to acquire highly efficient and user-friendly tools for designing scientific documents at a very low cost. I- ScienceWord For a long time,typing of scientific documents required combining of specialized editors with a word processor. However, as a result of difficulties linked to mastery of specialized editors and complexity of work resulting from its combination with a word processor, typing of scientific documents became fast the business of a few initiated people.. ScienceWord is a new generation word processor. Not only it realises the processing of ordinary texts as it is done in MS Word, but also it simplifies processing complex scientific and technical documents made of ordinary texts,mathematical formulae,chemical formulae including macromolecules, graphical representation in two dimensional and three dimensional coordinate systems, drawings of all kinds, etc. Besides, ScienceWord enables exchanges and network researches for all kinds of documents. Any computer typed document can be classified as linear or non linear document type. Non linear technique that constitutes the basic theory of ScienceWord enables to achieve once and for all the typographical arrangement of the simple text, mathematical formulae, chemical formulae, symbols, graphics, curves etc. The linear or non linear character of a document is identified by the structure of the basic elements of the said document. When a well ordered structure exists between basic elements of a document, this is said to be of linear type. Furthermore, in a linear document type, there are only basic elements; no complex elements. All traditional documents are of linear type. In contrast non linear document type is not only made up of basic elements, but also complex elements (for example ). On spur of a logical behaviour, the basic elements which make up the complex elements do not appear again under the form of a well ordered structure, but appear under so much diversified forms as Down-up , Left-right ( for example HC), Insertion in batches , Recurrence, Geometrical bonds, Spatial structure, etc. In this type of document, elements structurally maintain between themselves, risky and unpredictable diversified forms. It is for this reason that we say that this category of document is the non linear type. The linear type document is only the expression of the logical shapes whereas non linear type document is the expression of logical shapes but as well as logical behaviour. Scientific and technical documents are complex documents made up of a number of formulae, graphics, curves, logical graphics etc. there are by excellence non linear type of documents. Non linear technique makes the processing of scientific and technical documents more easy. For the first time mathematical formulae could be processed as a simple text. Chemical formulae are written with an ease never thought of, thereby establishing ScienceWord as the best editing platform of chemical formulae. ScienceWord offers a new approach which integrates basic geometric elements using a unique unmatched logic. The flexibility of two dimensional and three dimensional coordinates system and the numeral options available in properties dialogue boxes simplify all types of graphical representation. ScienceWord is a new technology that introduces a simple way of processing complex scientific documents. Furthermore, as a software designed for a large public, ScienceWord can be operated easily. ScienceWord proves of great value to scientists and engineers both in the educational / research and industrial settings. It should also be of immense benefit to schools, training colleges and polytechnics especially in the light of the Governments declared policy of promoting the use of ICT in all educational institutions. The fact that science word is so well suited to scientific and technical documentation implies that it will encourage science and technology teachers and students to make use of ICT in their day to day teaching and learning activities. The resulting synergy will have a powerful impact on the country development in general. II- PagePlayer It is very usual to make use of software for presentations during symposium, conference, project presentation, thesis defence or lecture. This type of software that uses slides often requires a big screen where projection can take place with of course some animations to make a transition between the various parts of a subject being presented: such a usage facilitates an understanding, legibility and notes taking for the listeners. Until recently, the real problem confronting all users of presentation software was the amount of time they were compelled to devote to the making of slides. For the animation of a slide containing an ordinary text only required the creation of several text boxes, which means a lot of time. The issue became more complex when it comes to designing slides containing: a scientific text with mathematical formulae, chemical formulae or macromolecules objects such as geometrical drawing, function, electronic and mechanical graphs. PagePlayer is a new generation of presentation software which simplifies on the one part: Concept, presentation and animation of slides of various types made up of ordinary texts, mathematical formulae, chemical bonds including macromolecules, two dimension and three dimension graphical representation, geometrical drawings, usual arithmetic operations of primary and secondary standards, experimental tools in physics and chemistry etc... And on the other part: concept and animation of geometrical and dynamic constructions including all plane transformations (translation, rotation, symmetry, similarity). As we can note, PagePlayer has achieved not only once and for all, problems linked with conception and animation of any presentation but also it constitutes an educational tool of inestimable value for scientific people at all levels including students. There is however a need to mention some functions that make PagePlayer to be not only a revolutionary software but also unique in its kind! Writing of mathematical formulae takes place exactly as in ordinary text with an automatic passage to a new line. Chemical bonds are carried out with the same way we do when drawing with a pen The flexibility of the two dimensional and three dimensional coordinates systems simplifies graphical representation under all shapes wanted. Geometrical construction is carried out with an amazing simplicity due to the fact that necessary tools for conception are automatically available as soon as the corresponding elements of the plan are selected. Any multimedia (music, video, flah) inserted in PagePlayer can be read on any computer where PagePlayer is installed A library for drawings is available to store drawings and images for a further use. The possibility of animating in an independent manner the selection of any part of the text (including mathematical or chemical formulae) not only simplifies the animation of the text under all shapes wanted, but also make it very flexible animation sequences. The possibility of writing or drawing in full screen mode facilitates corrections during presentation. The ability to explore with PagePlayer solutions to scientific questions widens considerably the field of application of this educational tool. Finally, we wish to draw the attention of the reader to the fact that the many functions mentioned above are made possible today thanks to a new theory on which the concept of PagePlayer is based: the non linear technique designed by Novoasoft. III- Elements of scientific documents The sector of education, as well as technical and professional organizations, have some very challenging needs for word processing and public presentation. Scienceword and PagePlayer cover significantly those needs. Here are few examples of their potentialities: Typing under varied forms of arithmetical calculations as illustrated below:    Typing of mathematical formulae as illustrated below: f(x)=x+" Typing of chemical formula and macromolecule as illustrated below 2HO2HO+O!,  Creating of plane and solid geometries objects as illustrated below:    Graphical representation in two and three coordinates system as illustrated below:  Completing physics and chemistry experiment tools   000 00     In addition, it is quite easy to make some modifications quickly through ScienceWord and PagePlayer documents thanks to the availability of highly flexible tools. For example, to change the spring in diagram1 into that in diagram2, one simply needs to select options from the properties window of the spring..   or considering a dynamic construction (just click on  or  button to animate the curve!!}   Just click on Animate button to animate the bicycle!! Mathematical Expressions I- Levy's Inversion Formula This theorem puts the fact that F may be reconstructed from  in very explicit form. (Check that the theorem does imply that if F and G are distribution functions such that  =  on !, then F =G.). THEOREM Let  be the CF of a RV X which has law  and distribution function F. Then , for a<b,   =++ = " . Moreover, if <", then X has continuous probability density function f, and  f(x)=()d. The  duality between (b) and the result  = can be exloited as we shall see. The proof of the theorem may be omitted on a first reading. Proof of the theorem. For u, v " ! with ud"v,  d" either from a picture or since d" Let a, b " !, with a<b. Fubini's Theorem allows us to say that, for 0<T<",   = d = provided we show that C= However , inequality (d) shows that C d"T", so that  is valid. Next, we can exploit the evenness of the cosine function and oddness of the sine function to obtain.   =, Where , as usual, sgn= and S= . Even through the Lebesgue integral  does not exist, because we have  (see Exercise E16.1) S= The expression (f) is bounded simultaneously in x and T for our fixed a and b; and, as T ! ", the expression (f) converges to. 0 if x < a or x > b,  if x = a or x = b, 1 if a < x < b, The Bounded Convergence Theorem now yields result (a). Suppose now that We can then let T ! " in result (a) and use (DOM) to obtain (g) F"F=d, Provided that F is continuous at a and b. However, (DOM) shows that the rigth -hand side of (g) is continuous at a and b (why ?!) we can conclude that F has no atoms and that (g) holds for all a and b with a <b. We now have (h) =d. But, by (d), d"1 Hence, the assumption thatin (h) to obtain F'=f=d, and finally, f is continuous by (DOM).  The two lines 4 and 5 illustrate the duality between  and , as do the two lines 6 and 7. Hints on verifiying the table are given in the exercises on this chapter. II. Tangent to a conic 1. Coefficient director of the tangent Let consider the figure below where P and P are two points of a curve  and  the tangent to  in P. Geometricaly saying,  is the limit of the line  when P trends to P. Then the coefficient director k of  in P is the limit of the coefficient director  of  when x and y trend to 0. That is k=. The equation of  is y"y=k or x-x=k' (where k'==). In particular when k trends to +" or -" (what means k' trends to 0),  is the line x=x. When the curve  is the representative of a real fonction f, then y=f and y+y=f. This recalls us the well known following formula: ==f '(x). 2. General equation of the tangent to a conic (passing a point of this conic) Theorem Let consider a conic  having equation Ax+Bxy+Cy+Dx+Ey+F=0 . The equation of the tangent at a given point M(x, y) to  is obained as follow, using the substitution method. In  x is remplaced with xx; y with yy; x with ; y with  and xy with . Dmonstration Let consider P(x, y) et P(x+x, y+y)two points close to the conic  having equation: Ax+Bxy+Cy+Dx+Ey+F=0 . Then,: Ax+Bxy+Cy+Dx+Ey+F=0  and A+B+C+D+E+F=0 That is Ax+Bxy+Cy+Dx+Ey+F+"x+[Bx+2Cy+Cy+E]y =0 (2) From  and  it follows that =". Then k=" or k'=". Then the equation of  is: : y"y=" or x"x=" that is Axx+B+Cyy+D+E+F=0 III. Graph of Function Let consider the functions g and f ddefined as follow: g(x)= et f (x)=. 1. Domain D= *"  et D= *"  *"  . 2. Variation of g  You can sketch g directly on  and f on ! . In a practical g could be sketched on . IV- Insertion of data   V- Three dimensional graphical representation It is possible to sketch in the same coordinates system many surfaces.  "3.14d"ud"3.14 ; 0d"vd"3  "3.14d"ud"3.14 ; 0d"vd"1.5  "3.14d"u, vd"3.14 ; 00 CHEMISTRY Chemical formulae consist of chemical symbols ( C, O, CH, OH, Br etc. ) and simple chemical bonds in the form of lines ( etc.), and other chemical groups in the form of polygons (, etc.) which we name polygonal chemical bonds. Writing of chemical formulae is simplified thanks to insertion techniques of symbols and chemical bonds developed in ScienceWord. For example, simple chemical bonds are carried out in the same way we do when we are drawing them with a pen!        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