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Let a1, a2, a3., a49 be in AP such that Σa(4k + 1) for k is 0 to 12 = 416 asked Oct 10, 2018 in Mathematics by Samantha ( 38.8k points) sequences and series. Watch Latest and hottest porn videos for free on SpankBang - millions of movies and sexy clips. Play trending and hottest Latest and hottest porn videos movies. 4K DLP projectors featuring TI's new 4K UHD DLP chip are in the news, especially with the Optoma UHD60 coming to market late in the second quarter at the surprisingly low price of $2,799. But is the new 4K DLP chip really a genuine native 4K chip? After all, it has only 4.15 million mirrors, not the 8.3 million that is required for 4K 3840x2160 display.

4K DLP projectors featuring TI's new 4K UHD DLP chip are in the news, especially with the Optoma UHD60 coming to market late in the second quarter at the surprisingly low price of $2,799.

But is the new 4K DLP chip really a genuine native 4K chip? After all, it has only 4.15 million mirrors, not the 8.3 million that is required for 4K 3840x2160 display. Is it doing pixel shift in the same way that the 3LCD 4K enhanced projectors from Epson and JVC are doing?

The answer is yes and no. The similarities are these: They both rely upon an optical diagonal off-shifting of the pixels on sequential refreshes so that there is a partial overlapping of the pixels on the second pass. So a base image and an off-shifted image are both displayed for each frame. This happens so fast that the eye blends them into one image. As you are watching a movie there is no awareness that this is going on.

4K projectors using either the 4K DLP chip or the 4K-enhanced 3LCD process will accept native 4K signals and then apply some extensive video processing on these signals to prepare them for output to their non-native DLP or 3LCD imaging devices. The difference is that TI's 4K UHD process produces independent single-pixel structures, whereas the 3LCD process does not.

Practically speaking, the most obvious difference between the 4K DLP and 4K-enhanced 3LCD projectors is apparent resolution. The 4K-enhanced 3LCD projectors from Epson and JVC (those currently on the market at any rate) use native HD 1080p chips which are 1920x1080 in physical resolution. Resolution enhancement is achieved by projecting a 1920x1080 image on the first scan, then on the next refresh of the chips a second 1920x1080 image is off-shifted diagonally and overlaid onto the first scan. The total number of addressable pixels in this process is (1920x1080) x 2 = 4.15 million, which is half of the 8.3 million in a native 4K signal.

The 4K DLP chip starts with double the resolution of the 3LCD devices. It has a total of 2716x1528 mirrors. Through some proprietary video processing it is able to deliver two discrete pixels for each mirror. When using this chip in the pixel-shifting process, it delivers double the number of pixels in each refresh compared to the 3LCD projectors. The total number of addressable pixels in this process is (2716x1528) x 2 = 8.3 million, or the same as a native 4K signal. The pixels have been reformulated through video processing to map the native 4K signal information onto this pixel shifted delivery mechanism.

So what do they look like?

The result of both of these processes, as far as the eye perceives, is substantially enhanced picture resolution compared to standard HD 1080p. As far as 3LCD is concerned, though the math says it is half the number of addressable pixels compared to native 4K, from a typical viewing distance the eye will perceive video material displayed on 4K-enhanced 3LCD projectors as much closer to native 4K than 1080p--subjectively the picture does not look like it is 'half way' in between 1080p and 4K as the math would suggest. It looks more like it is about 90% native 4K, at least with video subject matter. The bottom line is that when viewing video material from normal viewing distances it will be difficult for most consumers to tell the difference in resolution between a picture produced by a projector using native 4K chips and one using the 3LCD pixel-shift technology.

However, when you switch to something other than video you get a different impression. For example, when you are projecting high resolution graphics or densely packed financial spreadsheets in small fonts, the latent resolution strength of the 4K DLP chip compared to 3LCD pixel-shift becomes much more apparent. When viewing this type of subject matter on 3LCD pixel-shifted projectors, you may tend to see moire patterns in complex graphics, or soft, imprecise resolution of the serifs on small text on a spreadsheet. These details are more acutely resolved with native 4K projectors, or with projectors using the new 4K DLP chip.

Now, with the new 4K DLP chip, the math says that since the physical resolution is doubled as compared to 3LCD, that should push the subjective results on the screen from a perceived (say) 90% of 4K to a potential of 95% 4K. However, once again the math is misleading. This is not what happens. The detail resolution produced by the 4K DLP chip is for all practical purposes indistinguishable from pure native 4K, even when examined from very close up. Therefore, despite the fact that the 4K DLP chip itself has 4.15 million mirrors instead of 8.3 million, we have no problem categorizing the 4K projectors using this chip as '4K resolution.' The picture on the screen is what counts, not the number of elements on the imaging device.

Other vital factors to consider

3-chip convergence.One other contributing factor to the resolution power of the 4K DLP chip is that in its single-chip implementations (using a color wheel as light modulator), there is no risk of a convergence issue as there may be on any three-chip light engine design, whether DLP, 3LCD or LCOS. With 4K resolution, the precise convergence of three independent red, green, and blue imaging chips becomes vital when it comes to maximizing image definition. The latent advantage of sequential color updates from a single DLP chip is that all three colors are always in perfect convergence. So oddly enough, the single 4K DLP chip used with a color wheel has the potential to deliver slightly more precision than a true native 4K projector that uses three separate chips for R, G, and B, if those three chips are not in perfect alignment.

Viewing distance. It is also important to keep in mind that viewing distance is a huge factor in perceiving resolution. As it is, when viewed from a common distance of (say) 1.3x the screen width, you cannot see all the detail on the screen even in a standard 1080p image. Move up close and you can see pixel structure, but move back to that viewing distance and that pixel structure disappears because it is beyond the ability of the human eye to resolve that tiny detail. Now, a picture generated by either the 4K DLP chip, or by the 3LCD 4K-enhanced models, will certainly appear higher in resolution than a standard HD 1080p picture from a distance of 1.3x the screen width. But since we are reaching the limit of the human eye to resolve fine detail at this distance, the perceived differences between native 4K and the 3LCD 4K-enhanced projectors become subtle with video, although as noted previously, less subtle with high resolution graphics and text.

Contrast. The subjective impression of a picture's resolution is determined in significant part not by actual physical resolution but by the contrast of the image -- the higher the contrast, the higher the picture's resolution will appear to be to you. That is because details in shadows and highlights stand out more clearly on a high contrast projector, and edges between dark and light objects appear to be more acutely defined. Due to this phenomenon, when you factor in normal viewing distance, it is possible that a very high contrast conventional HD 1080p projector could appear to be higher in resolution than a native 4K projector with lower contrast. This is why many videophiles would argue that high contrast (along with other factors like color accuracy and wide color gamut) are actually more critical components to a successful image than resolution, especially when it comes to home theater projectors.

Conclusion

In the end we urge you to consider ALL aspects of a projector's capabilities and attributes before making a buying decision. 4K resolution is obviously a hot ticket in the projector world these days, and we would argue that the new 4K projectors featuring TI's 4K DLP chip qualify as native 4K based on the acute precision of the image on the screen, and the ability of each mirror to drive two independent single pixel structures. How they do that is related to some behind-the-scenes technological magic (proprietary to TI) that you will never be aware of.

Nevertheless, as impressive as the high precision 4K DLP chip is, that precision is more apparent with complex graphics and dense text than it is with video. But this is true of ALL projectors using native 4K chips, not just the new 4K DLP chip. In the end, your subject matter itself as well as your preferred viewing distance will determine how much detail is actually visible on the screen. Keep these things in mind as you check out all of the exciting options you have for upgrading to a new 4K projector.

• Performance
  
• Features
  

• Ease of Use
  
• Value
  

The Acer H7850 is currently Acer's lowest-price 4K UHD home theater projector, at $1999 most places and (at the moment) $1699.99 on Amazon. This projector uses the 0.66' 4K UHD DLP chip and an RGBCY color wheel. In addition to 3840x2160 resolution, it offers HDR and a rated 1,000,000:1 contrast ratio. Moreover, it is ISF certified, so if you get it calibrated by an ISF technician, the choices for color modes will include ISF Day and ISF Night.

For SDR material, the H7850 delivers appropriately fine detail for the resolution, color well within a realistic-looking range, dark blacks, and excellent contrast and three dimensionality. With HDR material it loses enough shadow detail in dark scenes to notice, but still delivers a compelling picture.

Setup conveniences include the 1.6x zoom lens and vertical lens shift for placement flexibility. In addition, it is only 11.7 lbs., which makes the H7850 lighter and easier to handle than many 4K UHD projectors.

Another key strength is that the H7850 is bright enough to fill very large screens. Even with optimized settings for video, it can light up a 190' 1.3-gain screen in a dark room. For brighter rooms or larger screens, it can deliver a quite usable image with enough brightness to boost the screen size to as much as 220' in a dark room or 140' with moderate light.

Acer H7850 Advantages/Features

• 3840x2160 resolution for crisp images and fine detail
  
• Frame Interpolation to smooth motion; choice of three levels
  
• 1.6x zoom lens
  
• Modest vertical lens shift
  
• Zoom and lens shift offer enough placement flexibility so you may be able to replace an older projector without having to move a ceiling mount
  
• 4000 hour lamp life in full power mode, 10,000 hours in Eco mode, 15,000 hours with ExtremeEco
  
• 2 HDMI ports, 1 with MHL
  
• Two 5-watt stereo speakers offer good sound quality and high enough volume to fill a small room
  
• HDR is compatible with Rec.2020 and HDR 10
  
• Supports ISF color calibration for ISF Day and Night modes (both become available after calibration, assuming you choose to pay to calibrate it)
  
• Replacement lamps are $70.42--a very low price--but only if you contact Acer Service; the lamp isn't available through the Acer online store, and it costs substantially more elsewhere

Acer H7850 Limitations

• No Keystone correction
  
• Only one HDMI 2.0 port (suitable for 4K HDR), and it is also the only one that supports MHL
  
• No 3D support
  
• Low brightness uniformity for the price
  
• Rainbow artifacts slightly more noticeable with HDR input than on competing 4K projectors
  
• Does not support Hybrid Log Gamma, the emerging HDR standard for broadcast TV
  
• Input Lag is 77 to 80 ms even with Frame Interpolation off, which serious gamers will consider too slow
  
• Warranty is only 1 year for the projector; 90 days for the lamp.

Acer H7850 Performance

Brightness. Acer rates the H7850 at 3000 lumens. We measured ANSI Lumens for our test sample with the zoom lens at its widest angle setting as follows in full power and Eco On modes: Declutter 2019 challenge printable.

Quartzcode 1 66 4k Smart Tv

Low Lamp Mode. Eco mode reduces brightness by about 33% compared with full power mode. The specs also mention ExtremeEco, which isn't an Eco setting, but a power saving feature. According to Acer, if the projector doesn't detect a signal, it will shift to Eco lamp mode.

Zoom Lens Light Loss. The 1.6x zoom lens drops brightness by 23% in the full telephoto setting. That's not unusual for this level of zoom, but it is enough to notice. For maximum brightness, you'll want to position the H7850 as close to the screen as possible for the screen size.

Video Optimized Lumens (SDR). Movie mode with some slight tweaking gives the closest color match to our reference projector and no loss of brightness. Even with default settings, colors are nicely saturated and well within the realm of realistic; they are slightly blue shifted compared to a reference projector, but not enough to be noticeable.

The H7850 also delivers good shadow detail as well as excellent contrast, three dimensionality, and black levels. Compared with the Optoma UHD60, for example, its black is ever so slightly darker, but by so little that the difference shows only in a side-by-side comparison.

In a dark room, the measured 1360 lumens with video optimized settings can give you a bigger picture than you might have room for. It is enough to light up a 1.3-gain 190' screen, or a 1.0-gain 170' screen. Switching to Eco power mode, at 915 ANSI lumens, drops the sizes to 155' and 135', and also lets you move to Normal power mode as the lamp ages and loses brightness. For rooms with ambient light, the brightness in Normal power mode with video optimized settings is enough for a 1.3-gain 120' screen. For higher ambient light levels or larger screens, you'll need to use a brighter color preset mode.

Color Preset Mode Performance. The H7850 delivers realistic-enough looking color and good enough contrast in most modes to be highly watchable even with default settings. As with many projectors, the exception is its brightest mode, which has an obvious yellowish-green bias. If you need the extra brightness however--to stand up to bright sunlight in a family room for example--you may be willing to use it on an occasional basis.

Standard, the second brightest mode, has a slight blue shift, which most people find more acceptable than a green shift. In this case, the colors are well within the realm of realistic looking. However, Standard mode has lower contrast than Movie mode and appears slightly less three dimensional. Dark Cinema delivers a close color match to Movie mode, but with a different gamma setting that improves shadow detail separation just a touch, while lowering contrast in most scenes that aren't dark enough for shadow detail to matter.

Game mode and Sports mode are similar to Dark Cinema, but with higher brightness. Silent mode is similar to Movie mode for color, but somewhat brighter with its one power setting than Movie mode with Eco On.

Video Performance. The H7850 delivers solid video performance for the price. In addition to realistic color, dark blacks, and excellent contrast and three dimensionality with SDR input, it delivers appropriately fine detail for both native UHD and upscaled 1080p input. For even crisper images, it offers both Super Resolution and Sharpness settings that you can adjust to taste. If you crank them up too high, however, they will make minor skin imperfections look like a nasty rash.

Video processing options also include AcuMotion--Acer's name for frame interpolation (FI)--with four settings, including Off. Even level 1 smooths motion almost entirely and removes judder from camera pans, but it also adds a noticeable digital video effect to film. If you find that bothersome, you might want to use it only for live and recorded video, including sports, where you're much more likely to consider it an enhancement.

Like most DLP projectors, the H7850 shows occasional rainbow artifacts. In my tests, the only times I saw them often enough to be bothersome were in test clips chosen specifically because they tend to show rainbow artifacts. Unless you're particularly sensitive to them, they shouldn't be an issue.

HDR Performance. The H7850 offers four HDR settings. Level 1 is closest to the spec, but far too dark--losing most shadow detail in dark scenes. Level 4 is the brightest and most watchable. For optimal viewing, I started with Level 4, changed the gamma setting, and adjusted color to remove a noticeably green bias. After the changes, the H7850 delivered a compelling image.

The more important limitation for HDR with the H7850 is that it offers only one User mode, and any changes you make to the factory default settings in any preset color mode immediately get saved in User mode, and erase whatever was there before. So you are required to use the factory default settings for all color preset modes and reserve User mode for HDR, unless you want to recalibrate your preferred custom settings every time you switch between HDR and SDR. It is simply more work than you should have to do.

Brightness uniformity. The H7850's brightness uniformity is 53% at the wide-angle end of the lens and 63% at the telephoto end, which is unexpectedly low for a home theater projector in this price range. With a solid white image, it is obviously brighter in the center than the sides and brighter at the bottom than the top. With film or video, the difference is much harder to see. Depending on how much low uniformity bothers you, you may consider this unacceptable at this price or may never notice it.

On-board audio. Home theater projectors are normally used with external sound systems. But if you need the H7850's onboard audio, the two 5-watt stereo speakers deliver good sound quality and enough volume to fill a small room.

Fan noise. Acer rates the H7850 at 26 dB in full power mode, 24 dB in Eco mode, and 19 dB with the Silent color preset. In quiet moments, you can hear the fan in both full power and Eco modes from anywhere in a mid-size room as a steady white noise. Both have a high-pitched overtone that makes them more noticeable than they otherwise would be, but Eco mode is quiet enough that it shouldn't bother most users. Silent mode eliminates the high-pitch component entirely and is quieter still, making it hard to hear from more than a foot or two away.

Acer recommends using High Altitude mode at 5,249 feet and above. If you plan to run in full lamp mode at High Altitude you may want to consider setting the projector up with some sound deadening material around it.

Input lag. The 77 to 80 ms input lag with FI off, and the even slower 145 ms with it on, makes the H7850 a poor choice for serious gamers. More casual users may find it adequate with FI off.

Connection Panel Inputs:

• (1) LAN
• (1) RS-232 (control)
• (1) HDMI 1.4
• (1) HDMI 2.0 with MHL
• (1) VGA/component in
• (1) VGA monitor out
• (1) 3.5mm stereo in
• (1) 3.5mm stereo out
• (1) USB A (power only)
• (1) 12V Trigger
• (1) USB Type A (Service only)

The H7850 also works with Acer's optional Wi-Fi Dongle and Wireless FHD kit, but they both support resolutions of only 1080p.

Setting up the Acer H7850

Throw Distance. The H7850's throw distance for a 120' 16:9 image ranges from about 12'2' to 19'4'. To find the throw distance range for the image size you want, see the Acer H7850 Projection Calculator.

Lens offset. With the H7850 set up on a table, the lens shift allows the bottom edge of the image to be anywhere from even with the centerline of the lens to as much as 18% of the image height above the centerline.

This range is ideal for setting up the projector on a low table or inverted in a ceiling mount. There is no keystone adjustment to square off the image, which means you should avoid any situation that forces you to tilt the projector up or down to hit the screen. This effectively rules out options like putting it on a high shelf behind the seats, which will usually force you to tilt it downward.

Competitive Comparison:
Acer H7850 vs. Optoma UHD60

When comparing the Acer H7850 and the Optoma UHD60, we find that each has some advantages over the other.

Brightness. The H7850 is the brighter of the two but not by much. The H7850's brightest mode measures 2790 ANSI lumens compared with 2710 for the UHD60. Its Movie and Dark Cinema modes are both about 1370 lumens compared with 1260 for the UHD60's Cinema mode. In their Eco modes, the H7850 reduces brightness by about 33% compared with 37% for the UHD60. (The UHD60 test unit had a persistent flicker in Eco mode. We saw a similar flicker with the H7850 when connected to a computer, but not with a Blu-ray player or FiOS, which makes it irrelevant for home theater use.)

Brightness uniformity. The UHD60 has better brightness uniformity, measuring 64% at the wide angle end and 74% at the telephoto end, compared with only 53% and 63% for the H7850.

SDR Image Quality. For SDR input the two projectors are a nearly even match for almost every aspect of image quality, with suitably neutral color, excellent contrast and shadow detail separation, and dark blacks. The H7850's black is slightly darker, but by so little you can't see the difference without a side-by-side comparison.

HDR Image Quality. For HDR input the UHD60 has a significant advantage for holding shadow details, showing details in dark scenes that get lost with the H7850. The H7850 also adds digital noise in some scenes and shows rainbow artifacts a bit more frequently than the UHD60--two issues that did not show up with SDR input.

The biggest advantage for the UHD60 for HDR is that it lets you easily maintain separate settings for HDR and SDR input without the risk of overwriting your customizations. With the H7850, you can define User mode for HDR, but as soon as you, say, tweak Movie mode for better color accuracy, the tweaked version becomes the User mode and the HDR settings are gone. With the UHD60, you can customize each color preset mode individually, including HDR mode.

Frame Interpolation. The H7850 has frame interpolation while the UHD60 does not. You can step up to the Optoma UHD65 at $2299 if you want this feature on the Optoma. We have not done a comparison of the relative quality of the two implementations of FI on these units.

Input Lag. The UHD60 has a lag of 63 ms compared with 77 to 80 ms on the H7850.

Zoom and Lens Shift. The UHD60 has a 1.56x zoom, almost identical to the 1.6x zoom on the H7850. They have nearly the same lens shifts and vertical offsets.

Weight. The UHD60 is a bit larger, at 16 lbs. compared with 11.7 lbs. on the H7850.

Fan Noise. Both are very quiet, but the H7850 is the quieter of the two, with both set to full power or Eco modes. The UHD60 also lacks an equivalent to the H7850's Silent mode which drops the fan noise even further.

Our Take on the Acer H7850

The Acer H7850 has a lot to like, with some limitations. Topping the list of strong points is its sharp, crisp 4K UHD resolution combined with color balance that's well within a realistic looking range--accurate enough that no calibration is required to get a thoroughly enjoyable image.

Quartzcode 1 66 4k Ultra

For SDR input, it delivers solid blacks, separates shadow details well, and offers excellent contrast and three dimensionality. For HDR input, it loses some shadow detail separation and renders some shadows more solid black than it should, but it delivers a compelling picture otherwise.

Other advantages include the 1.6x zoom lens, moderate vertical lens shift, and high enough brightness even with video optimized settings to fill up to a 190' 1.3-gain screen in a dark room or a 120' screen in moderate ambient light. So it is a good choice for both traditional home theaters and family rooms.

It doesn't offer 3D support, but that's true of most current 4K UHD projectors. Serious gamers will balk at the 77-80 ms input lag, but all 4K UHD projectors we've seen so far are 50 ms or more.

The real monkey wrench in the mix is that to get the image quality HDR promises, you have to adjust settings, and there's no easy way to store them for reuse. You either have to use factory defaults for the color preset modes for SDR and reserve the one User mode for HDR, or you have to change settings every time you switch between HDR and SDR. If you're not willing to do that, you'll be better off with a projector like the Optoma UHD60, which makes it a lot easier to switch between the two. If you don't mind following one of those two strategies, however, the Acer H7850 will give you a compelling picture for both SDR and HDR.

For more detailed specifications and connections, check out our Acer H7850 projector page.

To buy this projector, use Where to Buy online, or get a price quote by email direct from Projector Central authorized dealers using our E-Z Quote tool.

• Resolution3840x2160
• Lumens3,000

• Performance
  
• Features
  
• Ease of Use
  
• Value
  

• Price
  $1,700