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]


Q:

Cross-browser method of using the transform:scale css property?

I have the following css rules:
  -webkit-transform: scale(0.5);  /* Saf3.1+, Chrome */
     -moz-transform: scale(0.5);  /* FF3.5+ */
      -ms-transform: scale(0.5);  /* IE9 */
       -o-transform: scale(0.5);  /* Opera 10.5+ */
          transform: scale(0.5);

Which I intend to apply to a div in order to scale it, including all its contents, images, etc, to 50% its size while keeping the same center. As you probably know the rules I listed do exactly that, except for IE7-8.
According to this site, the equivalent, MS proprietary rule would be:
   /* IE8+ - must be on one line, unfortunately */ 
   -ms-filter: "progid:DXImageTransform.Microsoft.Matrix(M11=0.5, M12=0, M21=0, M22=0.5, SizingMethod='auto expand')";

   /* IE6 and 7 */ 
   filter: progid:DXImageTransform.Microsoft.Matrix(
            M11=0.5,
            M12=0,
            M21=0,
            M22=0.5,
            SizingMethod='auto expand');

However these don't seem to actually resize the contents of the div, it seems to shift its position but that is all.
CSS3Please.com reports different matrix values to be the equivalent for scale(0.5):
filter: progid:DXImageTransform.Microsoft.Matrix(/* IE6–IE9 */
                     M11=0.9999619230641713, M12=-0.008726535498373935, M21=0.008726535498373935, M22=0.9999619230641713,SizingMethod='auto expand');

I've tested these aswell, but the effect was the same; the div seemed to change its position, but the actual size of its contents remained unchanged.
Finally I've tried transformie.js, which calculates the matrix via sylvester.js automatically as you assign the transform property, but the end result was still:
M11=0.5, M12=0, M21=0, M22=0.5

Exactly the same as the one I tried first, which seemingly did do nothing other than shift the position of the div.
I would try cssSandpaper.js, but it looks pretty bloated for what I intend to do, plus there's no jQuery port and I don't feel like adding cssQuery to the project only for that. Chances are the results would be the same as what transformie.js generates though, because it seems to use sylvester.js aswell.
Edit: I also tried this which seems to come from microsoft directly, and suggests the following matrix calculation method:
function resizeUsingFilters(obj, flMultiplier) {
    // If you don't do this at least once then you will get an error
    obj.style.filter = "progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingmethod='auto expand')";
    // Resize
    obj.filters.item(0).M11 *= flMultiplier;
    obj.filters.item(0).M12 *= flMultiplier;
    obj.filters.item(0).M21 *= flMultiplier;
    obj.filters.item(0).M22 *= flMultiplier;
}  

Unfortunately this does not scale the contents of the div itself either. It looks like this may not be possible at all, but:
How can the modern transform: scale be simulated in IE8-7, in such a way that it actually resizes inner div contents aswell?
Perhaps I'm looking for something that doesn't exist, but I wanted to be sure. All the tests have been done using IE9 in compatibility mode for IE8 and IE7 (so far it has always done the job, I don't believe it's unreliable but feel free to correct me if you think otherwise)

A:

I'm a little confused by your explanation. This fiddle in IE7-8 scales the inner elements down for me just fine with the first set of code you posted (though you indicate it was not scaling, only changing position). What that code does not do (and cannot do) is scale it from the center point (it is from the upper left), and the matrix transform cannot accommodate a translation (it only "Resizes, rotates, or reverses the content of the object"), so it is not "keeping the same center" as you indicate you desire.
There is a page I found similar to the transformie.js you noted in performing transform, but this other page speaks to the issue of the transform origin being centered. Ultimately, to get the appearance of being scaled on center, you must include a calculation of some kind to do a shift of the element using position: relative.
In this fiddle I've made it easy on myself to do such a calculation manually by setting a width on the wrapping div and knowing the height based on the inner sizes. This could get complicated with any dynamic sizing, but the link above I believe gives the calculations to do it dynamically using javascript (JQuery) with the sylvester.js as well.

A:

You can also use IE's zoom property:
zoom: 0.5
This should do what you want it to do.