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]


This application makes reference to, incorporates the same herein, and claims all benefits accruing under 35 U.S.C. xc2xa7119 from an application entitled Tension Mask for Color Picture Tube and Method of Manufacturing the Same and Exposure Mask for Making the Tension Mask earlier filed in the Korean Industrial Property Office on Apr. 20, 2000, and there duly assigned Serial No. 20994/2000 by that Office.
1. Field of the Invention
The present invention relates to a color cathode-ray tube (CRT), and more particularly, to a tension mask having a color selection function, which is secured into the panel of a cathode-ray tube, a method for manufacturing the tension mask, and an exposure mask for use in the manufacture of the tension mask.
2. Description of the Background Art
In color cathode-ray tubes for television and computer displays, three electron beams emitted from an electron gun land onto a phosphor screen installed on the inner side of a panel through apertures of a mask having a color selection function, to excite red, green, and blue phosphors deposited on the phosphor screen, thereby forming images.
In a color cathode-ray tube, which forms images with the above-mentioned structure, the mask having a color selection function includes a dot mask for computer monitors, and a slot mask (or slit mask) for televisions. The dot mask and the slot mask are designed to have a predetermined curvature corresponding to a curvature of the phosphor screen, which has been curved taking into account a deflection trajectory of electron beams onto the phosphor screen.
Such masks are made of steel foil having a thickness of 0.1-0.25 mm (millimeters). A plurality of apertures are formed in the steel foil via etching, and then the steel foil is molded to have a predetermined curvature. If the curvature of the mask is less than a predetermined level, the mask is readily subjected to a permanent thermal distortion. As a result, the mask cannot perform its intrinsic color selection function. There is an increasing need for flat cathode-ray tubes. However, there are limitations in the manufacturing of flat cathode-ray tubes having the above-mentioned configuration.
A slot mask suitable for flat cathode-ray tubes, which is free from doming caused by thermal expansion, is disclosed in U.S. Pat. No. 4,942,332 issued to Adler et al. for Tied Slit Mask for Color Cathode Ray Tube. The slit-type foil tension mask includes a series of parallel strips separated by slits. The strips are loosely coupled by widely spaced ties.
Another mask, which is disclosed in U.S. Pat. No. 4,926,089 issued to Moore for Tied Slit Foil Shadow Mask with False Ties includes a plurality of tie bars interconnecting adjacent strips and to define slots, and a plurality of false bars extending between the adjacent strips to face each other, but not interconnecting the adjacent strips.
In general, such a tension mask having the above configuration is manufactured by photolithography. In particular, a photosensitive layer is deposited over both sides of a steel foil, exposed to an exposure light using an exposure mask to form a predetermined pattern, and then etched, so that a complete mask is obtained.
For the tension mask formed by the earlier techniques, the width of the slot between the adjacent strips at the electron beam emitting surface of the mask, is larger than the width of the slot at the electron beam entering side of the mask. An etching boundary, where etching from the upper and lower sides of the steel foil stops, is located close to the bottom surface of the resultant tension mask. That is, the distance from the top surface of the strip to the etching boundary is larger than the distance from the bottom surface of the strip to the etching boundary. As a result, the incident angle of electron beams passing the slot is small, so that the amount of beam passing through the slot decreases.
On the other hand, because the gap between the adjacent upper second light shielding portions of the upper exposure mask is equal to that between the adjacent lower second light shielding portions of the lower exposure mask, etching boundaries for the false bars of the tension mask, which extend from the adjacent strips, is located at a position separated by the same distance from the top and bottom of the strips. Unfortunately, the etching boundaries located in the middle of each false bar cause clogging of the gap between the adjacent false bars in the manufacture of the mask. In addition, if the gap between the false bars is widened so as to prevent clogging of the gap, a problem of false bar visibility occurs when the mask is adopted in a cathode-ray tube.
On the other hand, the gap between the false bars is limited by the thickness of the steel foil used. Earlier etching techniques applied in the manufacture of masks is insufficient to form a mask having a fine pattern, which is not shown on the screen when the mask is secured into the panel of a cathode-ray tube. In particular, although a steel foil which is thin ensures a smaller gap between adjacent false bars, the use of the thin steel foil increases the manufacturing costs, and lowers strength of the mask.
It is therefore an objective of the present invention to provide a tension mask for a color cathode-ray tube (CRT), in which variations in gaps between facing dummy bridges are reduced by adjusting the shape and thickness of real bridges and dummy bridges of the tension mask, thereby preventing the problem of bridge visibility.
It is another objective to provide a method for manufacturing a tension mask for a color cathode-ray tube, in which a desired pattern of the tension mask including slots, real bridges and dummy bridges can be obtained irrespective of the thickness of a steel foil selected to form the tension mask.
It is yet another objective to provide an exposure mask for use in manufacturing the tension mask.
Accordingly, to achieve the above objectives, there is provided a tension mask for a color cathode-ray tube including a series of parallel strips separated by a predetermined distance from each other, a plurality of real bridges intersecting adjacent strips among the series of parallel strips to define slots through which electron beams pass, and a plurality of dummy bridges located in the slots, partially extending between but not intersecting the adjacent strips, facing each other, where an etching boundary of each of the dummy bridges is located below the middle of the strips.
It is preferable that the plurality of real bridges are recessed by a predetermined depth from the top surface thereof The distance from the bottom of the strips to the etching boundaries of the dummy bridges may be 0.25 times smaller than the thickness of the strips. It is preferable that the thickness of each of the real bridges at the recessed center thereof is approximately the same as the distance from the bottom of the strips to the etching boundaries of the dummy bridges.
In another embodiment of the present invention, a tension mask for a color cathode-ray tube includes a series of parallel strips separated by a predetermined distance from each other, a plurality of real bridges intersecting adjacent strips among the series of the parallel strips to define slots through which electron beams pass, and a plurality of dummy bridges located in the slots, partially extending between but not intersecting the adjacent strips, facing each other, where an etching boundary of each of the dummy bridges is located below the middle of the strips, the tension mask including a pair of first rounded portions formed with a first thickness at the beam emitting side of each of the slots, partially extending from the adjacent strips, and a pair of second rounded portions formed with a second width at the beam entering side of each of the slots, partially extending from the adjacent strips.
A method for manufacturing a tension mask for a color cathode-ray tube (CRT) includes depositing photosensitive layers over the top and bottom surfaces of a steel foil, aligning an upper exposure mask with a pattern including a series of parallel upper light transmission portions arranged in lines over the top surface of the steel foil, aligning a lower exposure mask with a pattern over the bottom surface of the steel foil, the pattern of the lower exposure mask including a series of parallel lower light transmission portions arranged in lines, a plurality of first light shielding portions intersecting adjacent lower light transmission portions among the series of the parallel lower light transmission portions, and a plurality of second light shielding portions partially extending between the edges of the adjacent lower light transmission portions, exposing the photosensitive layers uncovered with the lower and upper exposure masks using an exposure light source, removing the upper and lower exposure masks from the steel foil and developing the photosensitive layers remaining on the steel foil, and etching the steel foil which has undergone the developing process.