How to develop mathematical theorems based on literature survey for PhD thesis?

In Brief

  • The main aim of framing any theory is to explain, predict and understand occurrences. Theorem Development Literature Review is designed to hold or support a theory of any research.
  • If you are handling a complex research project, you can create your theory by combining different theories from various fields.
  • The Literature Review or Literature Review Theorem gives an idea about theory and how other researchers define and draw the connection between important concepts.

Introduction

A theory gives a complete and complex conceptual understanding of things which cannot be listed down like how societies work, how certain organization functions and why people interact in a particular way. Theories provide a Researcher with a different angle, from which they can look complex problems and social issues, allow them to focus their attention on a different aspect of data and providing them with a framework within which they can conduct their analysis. All scientific theory starts as a hypothesis. A hypothesis is a recommended solution for an undiscovered occurrence which does not fit into a currently acknowledged scientific theory. Theories can be modified or changed according to the research area; for example, if you are handling a complex research project, you can create your theory by combining different theories from various fields. But facts cannot be changed.

Theory basics

The main aim of framing any theory is to explain, predict and understand occurrences. In many situations, it is used to test and elaborate existing knowledge within the boundaries of the critical bounding assumptions. The theoretical framework is designed to hold or support a theory of any research. The Theoretical Framework describes the theory, its purpose and the reason why it exists under the study.

Berkley, University of California defines theory as a wide range of natural explanation for a broad range of phenomena. Theories are brief, logical, systematic, analytical, and widely applicable, often used to integrating and generalizing many hypotheses.”

A scientific theory should be based on a careful and logical analysis of the proofs. Theories are different from facts, in scientific methods, facts are the one which can be observed and measured and where else theories are the scientific explanation and interpretations of the facts.

A significant part of any scientific theory must include statements which have observational consequences. For example, Newton’s Theory of gravity consist of unity, which means it contains a limited number of problem-solving methodologies that can be applied to a broad range of scientific circumstances. Another important aspect of a theory is it must be formed from hypotheses which can be tested independently.

The evolution of a scientific theory

A Scientific theory must not be the result of scientific methods; because theories can be proven or rejected, just like hypotheses. Theories can be modified or enhanced based on collected information or facts, to improve the prediction accuracy over time. It acts as the foundation for further scientific improvements, and they can be gathered for practical use. The researcher uses these theories to develop inventions or find a cure for a disease.

Laws and theory are two different things; they play separate and identical roles in scientific methods. A law is an explanation of a natural phenomenon which remains true regardless of any number of testing. It never tries to explain why something is true; it just states it is true. But the theory, on the other hand, describes the observation, which is collected during the scientific process, according to the National Science Teachers Association law and theory both are the scientific process, but theories are way more different from law.

Evaluate and explain relevant theories

It is important to conduct a PhD Literature Review Theorem Development before framing a theory. The literature review or Literature Review Theorem gives an idea about theory and how other researchers define and draw the connection between important concepts. So as you write a Theoretical Framework, you can get an idea about different theories, and it comprises similarities between theory and it also evaluates those approaches that various author have proposed.

So after comparing and discussing various models and theories, you can create the best definition which fit your research, and you can easily justify why it is so. In a complex research project, you can combine theories from different research field and create your theory.

It is always necessary to add relevant theories or models as references to your Literature Review which are related your research study if you don’t want to apply those theories to your research then you need to explain why it isn’t suitable for your purposes. If you are not aware of theory development or how to frame a theoretical frame for thesis, you can get a PhD Thesis in Mathematics & Theorem Development Help from experts who have known your research area.

Show how your research fits in

The theoretical framework must not be the summarization or discussion of other author theories; you must show hoe these theories related to your project and how your project makes use of those fats and ideas.

The aim of any literature review or theoretical framework is to do one or more of the following

  • Check whether the selected theory must hold the specific context related to your Research Area.
  • Ensure that you can able to interpreting your results with the help selected theory
  • Test a theory
  • Combine various theories in a unique way.

You can use a theoretical framework to create hypotheses for any research.

The structure of the theoretical framework

PhD Theorem Development Mathematics is all about handling a complex research project, and it is always better to have a separate theoretical framework chapter. In a research thesis or dissertation, a theoretical framework can be integrated into a literature review chapter. If you found any difficulty in framing a theoretical framework, you can get help from online Mathematics & Theorem Development Services.

There are no specific rules for constructing a theoretical framework. But the main aim for building a theoretical framework is to generate a clear, logical structure. The main idea of the literature review is to identify the research question and to arrange each section around that question or key concept related to your research area. It is always necessary to properly cite the references to avoid plagiarism or to prove the originality of the research work.

Conclusion

According to the Merriam-Webster Dictionary, a hypothesis is a fact which is not proved, but a theory is one which contains enough evidence to prove the hypothesis. Theories can be modified or changed according to the research area. But facts cannot be changed. So it is always necessary to study different literature work before framing a theory. Mathematical theorem framing is a complicated process, so you can get Mathematics Theorem Development Help from experts.

References

  1. Cash, P. J. (2018). Developing theory-driven design research. Design Studies56, 84-119.
  2. Cash, P., Daalhuizen, J., Valgeirsdottir, D., & Van Oorschot, R. (2019, July). A theory-driven design research agenda: exploring dual-process theory. In Proceedings of the Design Society: International Conference on Engineering Design (Vol. 1, No. 1, pp. 1373-1382). Cambridge University Press.
  3. McCarthy, L. P., & Walvoord, B. E. Research Theory and Methods.