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]


E. I. du Pont de Nemours and Company (DuPont) has been in the business of making Tyvek.RTM. spun bonded olefin sheet product for many years. However, the commercial process for making Tyvek.RTM. includes the use of a CFC (chlorofluorocarbon) spin agent. As the use of CFC's will soon be prohibited, DuPont has been developing a non-CFC process for manufacturing Tyvek.RTM. sheet. Unfortunately, there is, as yet, no identified spin agent that may be used as a simple substitute in place of the present CFC spin agent without requiring substantial modifications of the process or process conditions for manufacturing the product.
Thus, an entirely new facility has been built to manufacture Tyvek.RTM. sheet using a substantially modified process and a very different spin agent. The new spin agent is a hydrocarbon, namely: normal pentane, and just about every process activity and condition has been changed or scrutinized because the new spin agent does not act or react exactly like the CFC spin agent in the present commercial system. It is of course, the intent of all the developmental work to be able to produce essentially the same sheet product as made in the conventional commercial process so as to continue to develop the business and markets that the Tyvek.RTM. business has created.
The developmental work for recreating the process of making Tyvek.RTM. sheet has the additional object to form improved products that have better characteristics for current and new end uses.
It is a particular object of the present invention to provide sheet products that have a wider range of Gurley Hill Porosity Values than that which is attainable by conventional nonwoven technology.
SUMMARY OF THE INVENTION
The invention is directed to a number of related sheet products made with polymeric man-made fiber that may be characterized in a number of independent ways. For example, one sheet has and opacity of at least 80 percent and a Gurley Hill Porosity Value of at least 120 seconds. Preferably this sheet product has a basis weight of less than 2.5 oz/sq yd and more preferably a basis weight of less than 1.7 oz/sq yd. Another sheet has a basis weight of at least 1.4 oz/sq yd and a Gurley Hill Porosity of less than 20 seconds. Another sheet has less than forty percent voids in the cross sectional area wherein no more than five percent have extremum lengths greater than 27 microns. A further sheet has at least thirty percent voids and at least five percent of the voids have extremum lengths greater than 23 microns.
A still further sheet is fully bonded and has a Correlation relative to spatial period wherein the correlation is in the range of 0.4 to 0.8 at a 15 pixel spatial period, 0.45 to 0.85 at a ten pixel spacing period, and 0.3 to 0.8 at a 20 pixel spatial period, wherein the measurements are based on a Hewlett Packard Deskscan II scanner operating under standard conditions and the pixels are approximately 169 microns square. Another sheet is similarly characterized but having a correlation of 0.1 to 0.5 at a 15 pixel spatial period, 0.15 to 0.55 at a ten pixel spatial period and a 0.05 to 0.45 correlation at a 20 pixel spatial period wherein the same equipment is used under normal conditions and the pixel size is the same.
A still further characterized sheet is set forth which is fully bonded and has a Haralick feature 13 Information Measure of Correlation between 0.19 and 0.35 at a ten pixel spatial period, between 0.15 and 0.325 at a 15 pixel spatial period, and between 0.125 and 0.3 at a 19 pixel spatial period wherein the pixels are approximately 169 square microns. A different sheet is similarly characterized and set forth having a Haralick feature 13 Information Measure of Correlation in the range of 0.075 to 0.2 at a ten pixel spatial period, 0.05 and 0.175 at a 15 pixel spatial period, and between 0.05 and 0.175 at a 19 pixel spatial period.
The invention further relates to a sheet being defined as a nonwoven sheet product made of overlapping layers of flash spun fibers bonded together with at least heat and pressure, wherein the web comprises fibrils having a mean apparent fiber width of greater than 24 microns, a median apparent fiber width of greater than about 13.5 microns and wherein the fibers are spun from one or more orifices at less than 100 pounds per hour per orifice, and wherein the sheet product has a Gurley Hill Porosity Value of greater than 30 seconds. An additional nonwoven sheet product is set forth which is made of overlapping layers of flashspun fibers bonded together with at least heat and pressure, wherein the web comprises fibrils having a mean apparent fiber width of less than 25 microns, a median apparent fiber width of less than about 13.5 microns, such that the fibers are spun from one or more orifices at less than 100 pounds per hour per orifice, and wherein the sheet product has a Gurley Hill Porosity Value of less than 20 seconds. A further nonwoven sheet product is set forth which is made of a plurality of overlapping plexifilamentary film-fibril webs wherein the webs have openings between the fibrils and the openings have an average perimeter of at least 2650 microns, the sheet includes portions which have at least four separate overlapping web swaths and the Gurley Hill Porosity Value is at least 25 seconds. Another nonwoven sheet product is set forth which is made of a plurality of overlapping plexifilamentary film-fibril webs wherein the webs have openings between the fibrils and the openings have an average perimeter of less than 3300 microns, the sheet includes portions which have at least four separate overlapping web swaths and the Gurley Hill Porosity Value is less than 75 seconds.
The invention is further related to a nonwoven sheet product made from a plurality of overlapping plexifilamentary film-fibril webs, wherein the sheet product has a cross section comprising fibrils which are bonded together and form voids within the sheet, the voids forming less than forty percent (40%) of the cross sectional area of the sheet and wherein the voids have a general shape so as to appear long and thin and wherein no more than five percent of the voids have extremum lengths greater than 27 microns.
Preferably, the nonwoven sheet product has an opacity of greater than 80. More preferably, the nonwoven sheet product according to claim 18 wherein the Gurley Hill Porosity Value is greater than 80. In addition, it is preferred that the nonwoven sheet product has less than fifteen percent of the voids having extremums greater than four microns.
The invention also relates to a method of characterizing a plexifilamentary film-fibril web comprising a number of steps, in particular, the first step is scanning a sample of the plexifilamentary film-fibril web with optical scanning equipment to create an image of the scanned sample and the next step is to digitize the image of the scanned sample. Thereafter, the openings between fibrils in the digitized image are identified and the perimeters of the openings between the fibrils to are measured to create a data set for comparison to other web samples.
The invention further relates to another method of characterizing a plexifilamentary film-fibril web comprising scanning a sample of the plexifilamentary film-fibril web with optical scanning equipment to create an image of the scanned sample and digitizing the image of the scanned sample. Thereafter, the individual fibrils in the digitized image are identified and the width of the fibrils are measured to create a data set for comparison to other web samples.
Finally, the invention relates to an additional method of characterizing a sheet material comprising the steps of cutting a sample of the sheet material to reveal a cross section thereof, scanning the cross section of the sample of the sheet material with a scanning electron microscope to create an image of the scanned sample and digitizing the image of the scanned sample. Thereafter, the voids in the cross section in the digitized image are identified and the voids are measured to create a data set for comparison to other sheet samples.