Please take the following transcription as a complete article. The summary of the article is the text I provided. Using a step-by-step approach, develop the first page of a twenty-page scholarly article. Focus specifically on the subjects I provided, which are: [subj1], [subj2], [subj3], [subj4], [subj5], [subj6], and [subj7]. Each subject should be analyzed thoroughly with respect to its role in the broader topic of the article, taking into account advanced academic knowledge in the field. Ensure that the article is structured professionally with a clear scholarly tone, as if written by a PhD student.

**Instructions:**

- **Introduction and Focus**: Begin the first page with a preface or introduction. Provide an overview of the article's aims and introduce the key subjects while avoiding superficial treatment of any one topic.
- **Step-by-Step Elaboration**: Proceed in a logical, progressive manner, expanding on each subject where applicable. Explain how the first few subjects ([subj1] and [subj2]) fit into the broader academic discussion, and ensure coherence in the flow of ideas.
- **Precision and Academic Depth**: Your writing should be precise and contain references to relevant academic frameworks and theories where applicable. The tone should reflect the level of expertise of a PhD-level scholar.
- **Avoid External Mentions**: Do not include any reference to Brilliant.org or any sponsorship in this article or subsequent pages.
- **Progressive Continuation**: This will only be the first page of a larger twenty-page document. Ensure that the content sets a strong foundation for what is to follow, and leave space for detailed exploration of the subjects later in the article.

Now, write the first page with a focus on the preface and initial elaboration of the first subjects.