Introduction

The research method by fundaments arises considering the “research” as an object of study both in its process, as in its resolution to obtain results in all areas of the knowledge. The research method by fundaments is a most important result obtained from the mathematical theory of research realized and obtained considering the identification of certain invariants that define it and its realization in scientific research on applied sciences where the observation directly is impossible and requires an extension of the observation, the creation of a valid hypothesis to a field deduction and analysis on true propositions (already demonstrated and evident facts), the creation of a theory ThΣ, as entity fundamental and generator of true propositions and new true propositions further knowledge [1-5]. But also, in the experiments development comes enforced with the true propositions as results of a research operatoron the set of true propositions which we denote as Φα , in the class α, or knowledge type α (for example a knowledge class can be the belonging to a sub-branch of a study branch). The proof, will be on the theorems and experiments supported by these theorems(almost always are the true propositions obtained by. Then the final law obtained is a theorem, which has more weight than a law. The theorems are eternal. The laws are changing depending on the context or environment where they occur. Likewise, one of the most important results obtained under this research theory is the flow diagram of the research methods by fundaments. The spaces or nodes are derived categories of objects in goal of study that is the scientific research. Likewise, the spaces , are set objects with morphisms (arrows) between them and whose inverses generate quasi-isomorphism between these spaces. The laws of identity and associativity to their compositions of these objects are satisfied. Likewise, we have the following considerations.

Let be the categories (whose points are sets of propositions) Φ1 ,Φ2 ,...,Φn ,..., of an Abelian category â??. These sets can be set of propositions of certain class α, then these can to define the following category Φ1 ,Φ2 ,...,Φn ,...,, whose objects are sets with arrows and therefore sequence as

Design and Determination of Experiments In Research

Harmony tesselations amd Games

Wecan establish following game having horizontal and vertical movements witha box 0 as space unfilled (16).Considering arbitary movement

Conclusion

The research method by fundaments is beyond that a precise and effective research method in all areas of knowledge whose vertebral base or rector axis are the mathematics, the fundamentals science. The research method by fundaments is really that, construct a theory ThΣ, that will give whole the base required in a research and more.Having a theory, is had all perspectives of a research, including the technological applications that born from a Thapp, passing for a sequence of prototypes until to obtain the optimal prototype (technology)However, in the research technological part, which concerns to the engineering, because this is the purpose of engineering, the creation of useful technologies to solve diverse processes, we need an ordered way to create technologies through of the application of certain morphism called scientific technologiscims

The commutativity of all these diagrams establish a harmoniousness form of thought, which contributes to the clarity and to a logical development researchFrom the harmony can be created and developed many games based in find an order that establish the solution in research method of fundaments

Appendix

References

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