You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


Chennai Mathematical Institute

Chennai Mathematical Institute (CMI) is a premier research and education institute in Chennai, India. It was founded by the SPIC Science Foundation in 1989, and offers undergraduate as well as postgraduate programmes in physics, mathematics and computer science, besides its key strength in the form of high-end research in Mathematics. CMI is noted for its research in the field of algebraic geometry, in particular in the area of moduli of bundles.

CMI was earlier located in T. Nagar in the heart of Chennai in an office complex. It moved to a new  campus in Siruseri in October 2005.

In December 2006, CMI was recognized as a university under Section 3 of the University Grants Commission (UGC) Act 1956, making it a deemed university. Until then, the teaching program was offered in association with Bhoj Open University, as it offered more flexibility.

History

CMI began as the School of Mathematics, SPIC Science Foundation, in 1989. The SPIC Science Foundation was set up in 1986 by Southern Petrochemical Industries Corporation (SPIC) Ltd., one of the major industrial houses in India, to foster the growth of science and technology in the country.

In 1996, the School of Mathematics became an independent institution and changed its name to SPIC Mathematical Institute. In 1998, in order to better reflect the emerging role of the institute, it was renamed the Chennai Mathematical Institute (CMI).

From its inception, the institute has had a Ph.D programme in Mathematics and Computer Science. In the initial years, the Ph.D programme was affiliated to the Birla Institute of Technology and Science, Pilani and the University of Madras. In December 2006, CMI was recognized as a university under Section 3 of the UGC Act 1956.

In 1998, CMI took the initiative to bridge the gap between teaching and research by starting B.Sc.(Hons.) and M.Sc. programmes in Mathematics and allied subjects. In 2001, the B.Sc. programme was extended to incorporate two courses with research components, leading to an M.Sc. degree in Mathematics and an M.Sc degree in Computer Science. In 2003, a new undergraduate course was added, leading to a B.Sc. degree in Physics.

In 2010, CMI launched a summer fellowship programme whereby they invited about 30 students from all over India to work under the faculty at CMI on various research projects.

Later, in 2012, the B.Sc. degree in Physics was restructured as an integrated B.Sc. degree in Mathematics and Physics.

Campus
CMI moved into its new campus on  of land at the SIPCOT Information Technology Park in Siruseri in October, 2005. The campus is located along the Old Mahabalipuram Road, which is developing as the IT corridor to the south of the city.

The library block and the student's hostel were completed in late 2006 and become operational from January 2007.

In 2006, CMI implemented grey water recycling system on its campus. The system was designed for CMI by Sultan Ahmed Ismail to treat waste water produced after cleaning, washing and bathing to be used for gardening or ground water recharge.

Construction is underway for a new building that will house an auditorium, accommodation for guests, as well as additional academic space - faculty offices, library and lecture halls. This construction is funded by a grant from the Ministry of Human Resource Development through the University Grants Commission.

Educational programmes

Course
CMI has Ph.D. programmes in Computer Sciences, Mathematics and Physics. Recently, CMI has introduced the possibility of students pursuing a part-time Ph.D. at the Institute.

Since 1998, CMI has offered a B.Sc.(Hons) degree in Mathematics and Computer Science. This three-year program also includes courses in Humanities and Physics. Many students, after completion of the B.Sc. degree, have pursued higher studies in Mathematics and Computer Sciences from universities both in India and abroad. Some students also go into industry while others take up subjects such as finance.In 2001, CMI began separate M.Sc. programmes in Mathematics and in Computer Science. In 2009, CMI began to offer a new programme M.Sc. in Applied Mathematics, which is scheduled to be replaced with a new M.Sc. in Data Science programme in 2018.

In 2003, CMI introduced a new three-year programme in the form of a B.Sc.(Hons) degree in Physics. The course topics are largely in theoretical physics. CMI now has its own physics laboratory. From the academic year 2007–2008, the Physics students are having regular lab courses right from the first year.
In the academic year 2005–2006, lab sessions for third-year students were conducted at IIT Madras based on an agreement. In the summer following their first year, physics students go to HBCSE (under TIFR) in Mumbai for practical sessions and in the second year, they go to IGCAR, Kalpakkam. However, in 2012, the B.Sc. degree in Physics was restructured as an integrated B.Sc. degree in Mathematics and Physics.

Degrees for the B.Sc. and M.Sc. programmes were earlier offered by MPBOU, the Madhya Pradesh Bhoj Open University and doctoral degrees by Madras University. After CMI became a deemed university, it gives its own degrees. CMI awarded its first official degrees in August 2007.

The batch sizes typically vary from five to twenty five and the overall strength of CMI is about 100–125 students and 40–50 faculty members.

Nearly all the CMI programmes are run in conjunction and coordination with programmes at IMSc, an institute for research in Mathematics, Theoretical Computer Science and Theoretical Physics, located in Chennai.

Admission criteria
The entrance to each of these courses is based on a nationwide entrance test. The advertisement for this entrance test appears around the end of February or the beginning of March. The entrance test is held in the end of May and is usually scheduled so as not to clash with major entrance examinations. Results are given to students by the end of June.

Students who have passed the Indian National Mathematics Olympiad get direct admission to the programme B.Sc.(Hons.) in Mathematics and Computer Science, and those who have passed the Indian National Physics Olympiad  are offered direct entry to the B.Sc.(Hons.) in Physics programme. However, these students are also advised to fill in and send the application form some time in March.

Students who pass the Indian National Olympiad in Informatics may be granted admission to the B.Sc.(Hons.) Mathematics and Computer Science programme. Admission is not guaranteed but is decided on a case-by-case basis by the admissions committee.

Fee structure and other payments

Till 2018, all students, including undergraduate students, were given a monthly stipend, subject to academic performance. The tuition was waived for students in good academic standing. In 2018, the fees were increased for all students with waivers available for students in good academic standing.

Faculty and research

Director
The founding director of CMI was C. S. Seshadri, who has worked in the area of algebraic geometry especially moduli problems and algebraic groups. He stepped down as Director of CMI in 2010. Rajeeva L. Karandikar was appointed as director of CMI
after C. S. Seshadri.C. S. Seshadri continues to be a part of CMI as "Director-Emeritus" from 1 January 2011.

Research Interests
In mathematics, the main areas of research activity have been in algebraic geometry, representation theory, operator algebra, commutative algebra, harmonic analysis, control theory and game theory. Research work includes stratification of binary forms in representation theory, the Donaldson-Uhlenbeck compactification in algebraic geometry, stochastic games, inductive algebras of harmonic analysis, etc.

The research activity in theoretical computer science at CMI has been primarily in computational complexity theory, specification and verification of timed and distributed systems and analysis of security protocols. A computer scientist at CMI extended the deterministic isolation technique for reachability in planar graphs to obtain better complexity upper bounds for planar bipartite matching.

In theoretical physics, research is being carried out mainly in string theory, quantum field theory and mathematical physics. In mathematical physics, research included developing a path integral approach to quantum entanglement. CMI string theorists study problems such as Big-bang like cosmological singularities, embeddings of BKL cosmology, dyons in super-Yang–Mills theories etc.

Other activities
CMI faculty coordinate the training and selection of students to represent India at the International Olympiad in Informatics through the Indian Association for Research in Computing Science (IARCS). CMI hosts the official IARCS website. From September 2004, a monthly online programming competition has been conducted by the CMI faculty via the IARCS website.
Two of CMI's faculty members, Madhavan Mukund and Narayan Kumar, lead the Indian team to the International Olympiad in Informatics (IOI). Madhavan Mukund is also the National Coordinator for the Indian Computing Olympiad.

Student activities

Hostel

The on-campus hostel was opened in January 2007. All students are expected to stay in the hostel. Security guards are posted in the campus round the clock, including women security guards for the girls wing on all floors. Washing machines are installed in the hostel which is managed by the students. A vehicle is parked in the campus at night for emergencies. Wi-fi facility is available in the campus.

Annual Inter-Collegiate Student Festival
The students of CMI organize an annual inter-collegiate student festival Tessellate (earlier known as Fiesta, renamed in 2018), supported by corporations, IT companies, and local businesses. Tessellate enjoys participation from students of several Chennai-based colleges including IIT Madras, SRM Institute of Science and Technology, Sathyabama University, KCG College of Technology. Tessellate comprises academic, cultural, technical and sports events.

From 2018, Tessellate also includes a social initiative for the benefit of the underprivileged in Chennai.

S.T.E.M.S. 

Also, as a part of Tessellate, a nationwide contest called S.T.E.M.S. (Scholastic Test of Excellence in Mathematical Sciences) is organised for students from 8th grade to Final year UG in different categories for the subjects: Mathematics, Physics and Computer Science. Toppers get to win exciting prizes and are invited to a fully funded 3-day camp at CMI.  The exam is known for its interesting and original (sometimes notorious) questions among the students. Generally, the question paper comprises an objective section followed by a subjective section.

Arrangements with other Institutes

 Till 2006, students received their B.Sc. and M.Sc. degrees from MPBOU and their Ph.D. degrees from Madras University.
 CMI conducts its academic programmes in conjunction with IMSc, so students from either institute can take courses at the other.
 CMI has agreements with TIFR (Tata Institute of Fundamental Research) and with the Indian Statistical Institutes in Delhi, Bangalore, Chennai and Kolkata, for cooperation on the furtherance of mathematical sciences.
 The physics programmes are run in conjunction with IMSc and IGCAR. The physics students spend one summer in HBCSE (under TIFR) in Mumbai and another in IGCAR, Kalpakkam, garnering practical experience.
 CMI has a Memorandum of Understanding with the École Normale Supérieure in Paris. Under this memorandum, research scholars from the ENS spend a semester in CMI. In exchange, three B.Sc. Mathematics students, at the end of their third year, go to the ENS for two months.
 The Institute has a similar arrangement with École Polytechnique in Paris, whereby top-ranking senior B.Sc. Physics students spend the summer in Paris working with the faculty at École Polytechnique.
 CMI has a Memorandum of Understanding with IFMR, the Institute of Financial Management and Research, located in Nungambakkam, Chennai. Students from CMI getting a CGPA of more than 8.50 are offered direct admission to IFMR's one-year programme in Financial Mathematics, which is sponsored by ICICI Bank. Faculty from CMI are involved in teaching this programme. In exchange, CMI gets its Economics professor from IFMR.
 CMI is a part of ReLaX, an Indo-French joint research unit dedicated to research in theoretical computer science, its applications and its interactions with mathematics. This collaboration allows for collaborative work in computer science, academic visits for professors and graduate students, summer internship programs for students, and organizing conferences in the subject. 
 CMI has had two sponsored research projects with Honeywell Technology Solutions, Bangalore, both in the area of formal verification.

Funding
CMI's funding comes from both private and government sources.

Government funding
 DAE: CMI receives support for its teaching programme from the Department of Atomic Energy, through the National Board of Higher Mathematics.
 ISRO: The Indian Space Research Organization also funds CMI substantially.
 DST and DRDO: For some of its projects, CMI receives funding from the Department of Science and Technology as well as the Defence Research and Development Organization.

Private funding
 The Southern Petrochemical Industries Corporation (SPIC) was an important founder of CMI during its initial years. In fact, CMI started as the Spic Mathematical Institute.
 Sriram Group of Companies is an important funder and also arranges for other funding for CMI.
 Matrix Laboratories has made a major contribution to the new campus at the SIPCOT IT Park.
 Infosys Foundation recently donated a large corpus to CMI to enhance faculty compensation and fellowships for students.

External links

 CMI homepage
 Homepage for the annual inter-collegiate student festival Tessellate
 News story: CMI gets its own campus
 Cover story for India Today: "From preaching to practice"
 CMI in SIPCOT IT Park map

Notes

References
 

Category:Mathematical institutes
Category:Deemed universities in India
Category:Indian mathematics
Category:Research institutes in Chennai
Category:Universities in Chennai
Category:Mathematics education in India
Category:Research institutes in Tamil Nadu