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I liked this account very much:
there are two ways of changing the rate of mismatches. The best way is to alter your sensitivity to the thing you are trying to detect. This would mean setting your phone to a stronger vibration, or maybe placing your phone next to a more sensitive part of your body. (Don’t do both or people will look at you funny.) The second option is to shift your bias so that you are more or less likely to conclude “it’s ringing”, regardless of whether it really is.
Of course, there’s a trade-off to be made. If you don’t mind making more false alarms, you can avoid making so many misses. In other words, you can make sure that you always notice when your phone is ringing, but only at the cost of experiencing more phantom vibrations.
These two features of a perceiving system – sensitivity and bias – are always present and independent of each other. The more sensitive a system is the better, because it is more able to discriminate between true states of the world. But bias doesn’t have an obvious optimum. The appropriate level of bias depends on the relative costs and benefits of different matches and mismatches.
What does that mean in terms of your phone? We can assume that people like to notice when their phone is ringing, and that most people hate missing a call. This means their perceptual systems have adjusted their bias to a level that makes misses unlikely. The unavoidable cost is a raised likelihood of false alarms – of phantom phone vibrations. Sure enough, the same study that reported phantom phone vibrations among nearly 80% of the population also found that these types of mismatches were particularly common among people who scored highest on a novelty-seeking personality test. These people place the highest cost on missing an exciting call.
From Mind Hacks.
In a meeting a guy’s phone goes off because he just received a text and he forgot to silence it. What kind of guy is he?
- He’s the type who is a slave to his smartphone, constantly texting and receiving texts. Statistically this must be true because conditional on someone receiving a text it is most likely the guy whose arrival rate of texts is the highest.
- He’s the type who rarely uses his phone for texting and this is the first text he has received in weeks. Statistically this must be true because conditional on someone forgetting to silence his phone it is most likely the guy whose arrival rate of texts is the lowest.
(Regular readers of this blog will know I consider that a good thing.)
Why did Apple enter an exclusive partnership with AT&T? Michael Sinkinson has a nice theoretical model that shows how vertical exclusivity can soften competition. A smartphone requires an accompanying wireless service in order to be useful. While smartphones are differentiated goods, wireless service is pretty homogenous. The market for wireless service is therefore perfectly competitive while the market for smartphones is oligopolistic.
Suppose smartphone manufacturers allow their phones to operate on any wireless network. Then service plans for the iPhone and for the Blackberry would be priced perfectly competitively, at the marginal cost of providing service. That means that the total price of an iPhone bundled with wireless service will be equal to the wholesale price that Apple charges the wireless providers. In other words, Apple’s price increases are passed on dollar-for-dollar to the consumer.
At an equilibrium Apple raises its price for the iPhone up to the point where the revenues from additional price increases are offset by reduced sales (due to higher prices.) Blackberry does the same.
Now, suppose that Apple goes exclusive with AT&T. That makes AT&T the monopoly retail supplier of the iPhone. They will act like a monopoly and raise prices. AT&T views Apple’s wholesale price as an input cost and we know from basic price theory that increases in input costs are passed on less than dollar-for-dollar to consumers. The strategic effect for Apple is that now when Apple increases the wholesale price of the iPhone, sales fall off by less than they did in the non-exclusive arrangement. It’s as if the demand curve has gotten steeper. Relative to the non-exclusive arrangement Apple raises prices, and in fact as a response Blackberry also raises prices which has a secondary benefit for Apple.
Of course some of these new profits go to the retailer, AT&T. No problem. Forseeing all of this Apple and AT&T agreed to a large up-front transfer from AT&T to Apple equal to that amount.
Yesterday on the NPR hourly newscast the lead-in to the barefoot bandit story was this “A man allegedly known as the barefoot bandit…” Perhaps I had too much time on my hands (I had a doctor’s appointment and they always go like this: Step 1) you are 30 minutes too early Step 2) please wait for an additional hour in a room with no AT&T reception Step 3) Stop wasting our time, your blood pressure is 120 over 70, go away and never come back) but this struck me as a strange way to phrase it.
Journalists apparently have a self-imposed rule that suspects should be “alleged” to have done whatever they are suspected of, at least until they are convicted. Presumably this is to avoid prejudging guilt. Now, since this guy was just picked up, the rule applies and he is “allegedly” something. But allegedly what? ”Allegedly known as the barefoot bandit.” Is it a crime to be known as the barefoot bandit? And is that what he is accused of?
OK, there were some crimes committed and all of these crimes are thought to have been committed by the same person and that, so far unidentified, person has been given a proxy identity “the barefoot bandit.” Now we are trying to find the barefoot bandit. The linguistic complication is that since “the barefoot bandit” is not a real identity you cannot say that someone “is” the barefoot bandit. Whoever this criminal is, he is “AKA (*also* known as) the barefoot bandit.” We are not literally looking for someone who is called the barefoot bandit, as if that by itself is a crime. We are looking for the person who committed the crimes which have been grouped together by that heading.
So we are looking for the person who (not by his own choice has come to be) “known as the barefoot bandit.” And now we have to somehow fit the “allegedly” in there in order to comply with the journalistic moral code. That’s the problem and the NPR copyeditor seems to have just stuck them together without trying to parse the final product.
Probably he didn’t have the spare time afforded by a futile doctor’s appointment. Or if he did, he had no iPhone reception to make the necessary changes before the newscast went live.
Apple’s latest response to the iPhone 4 antenna issue:
Upon investigation, we were stunned to find that the formula we use to calculate how many bars of signal strength to display is totally wrong. Our formula, in many instances, mistakenly displays 2 more bars than it should for a given signal strength. For example, we sometimes display 4 bars when we should be displaying as few as 2 bars. Users observing a drop of several bars when they grip their iPhone in a certain way are most likely in an area with very weak signal strength, but they don’t know it because we are erroneously displaying 4 or 5 bars. Their big drop in bars is because their high bars were never real in the first place.
Apple will soon be releasing a software update that will fix the problem by lowering the number of bars displayed on your phone. In related news, in response to my students’ grade groveling I have re-examined the midterm and noticed that everyone’s score was 5 points higher than it should have been. The curve has been re-calculated.
The big news is that AT&T will be discontinuing its unlimited use data plans effective next week which happens to coincide with Steve Jobs worst-kept-secret announcement of the next-generation iPhone. People are up in arms.
Unlimited, all-you-can-eat wireless data was a beautiful thing for Apple devices on AT&T, delivering streams of Pandora, YouTube videos, a million tweets, and hundreds of webpages without worry. And now it’s dead.
AT&T’s new, completely restructured mobile data plans for both iPhones and iPads have officially launched the era of pay-per-byte data, which we’ve known was coming. We just hoped it would take a little longer. It’s the anti-Christmas.
One thing to keep in mind is that unlimited use tariffs are not part of an efficient or profit-maximizing pricing policy whether you consider monopoly or perfect competition. It is hard to imagine a model under which unlimited use makes sense unless there is zero marginal cost. (If marginal cost is positive then under unlimited use your usage will typically go beyond the point where your marginal value exceeds marginal cost. Whatever the market structure, this would be replaced by marginal cost pricing possibly with a reduced fixed fee.)
Still the specific form of the tariff– zero per-MB cost up to some limit and then a steep price after that– annoys many people. In fact, there are theories that show that this kind of pricing is the best way to exploit consumers who don’t accurately forecast their own usage.
But this brings me to the second thing to keep in mind. Those exploits take advantage of people who underestimate their usage. But here is the actual pricing menu.
I bet that you actually overestimate your usage. I use my phone a lot for browsing the web, maps, etc. and I average under 200 MB per month. Because some months I do go above 200MB, I will buy the 2GB plan for $25 (I don’t need tethering.) My wife on the other hand never goes above 200MB. So the new plan is a better deal for us.
Here’s how to check your usage.
The New York Post reports that the FTC and the Justice Department are deciding which of those two entities will conduct an inquiry into Apple’s ban on iPhone-iPad development using cross-platform tools such as Adobe’s Flash-to-iPhone.
An inquiry doesn’t necessarily mean action will be taken against Apple, which argues the rule is in place to ensure the quality of the apps it sells to customers. Typically, regulators initiate inquiries to determine whether a full-fledged investigation ought to be launched. If the inquiry escalates to an investigation, the agency handling the matter would issue Apple a subpoena seeking information about the policy.
An inquiry is harmless in theory, often a slippery slope in practice. While there is certainly much to complain about, the general principle of not meddling when the market is still in its fluid infancy is the dominant consideration here. Remember the Microsoft case?
When you are competing to be the dominant platform, compatibility is an important strategic variable. Generally if you are the upstart you want your platform to be compatible with the established one. This lowers users’ costs of trying yours out. Then of course when you become established, you want to keep your platform incompatible with any upstart.
Apple made a bold move last week in its bid to solidify the iPhone/iPad as the platform for mobile applications. Apple sneaked into its iPhone OS Developer’s agreement a new rule which will keep any apps out of its App Store that were developed using cross-platform tools. That is, if you write an application in Adobe’s Flash (the dominant web-based application platform) and produce an iPhone version of that app using Adobe’s portability tools, the iPhone platform is closed to you. Instead you must develop your app natively using Apple’s software development tools. This self-imposed-incompatibility shows that Apple believes that the iPhone will be the dominant platform and developers will prefer to invest in specializing in the iPhone rather than be left out in the cold.
Many commentators, while observing its double-edged nature, nevertheless conclude that on net this will be good for end users. Jon Gruber writes
Cross-platform software toolkits have never — ever — produced top-notch native apps for Apple platforms…
[P]erhaps iPhone users will be missing out on good apps that would have been released if not for this rule, but won’t now. I don’t think iPhone OS users are going to miss the sort of apps these cross-platform toolkits produce, though. My opinion is that iPhone users will be well-served by this rule. The App Store is not lacking for quantity of titles.
And Steve Jobs concurs.
We’ve been there before, and intermediate layers between the platform and the developer ultimately produces sub-standard apps and hinders the progress of the platform.
Think about it this way. Suppose you are writing an app for your own use and, all things considered, you find it most convenient to write in a portable framework and export a version for your iPhone. That option has just been taken away from you. (By the way, this thought experiment is not so hypothetical. Did you know that you must ask Apple for permission to distribute to yourself software that you wrote?) You will respond in one of two ways. Either you will incur the additional cost and write it using native Apple tools, or you will just give up.
There is no doubt that you will be happier ex post with the final product if you choose the former. But you could have done that voluntarily before and so you are certainly worse off on net. Now the “market” as a whole is just you divided into your two separate parts, developer and user. Ex post all parties will be happy with the apps they get, but this gain is necessarily outweighed by the loss from the apps they don’t get.
Is there any good argument why this should not be considered anti-competitive?
I don’t want an iPad because I don’t want to carry around a big device just to read. I want to read on my iPhone. With one hand. (Settle down now. I need the other hand to hold a glass of wine.) But the iPhone has a small screen. Sure I can zoom, but that requires finger gestures and also scrolling to pan around. Tradeoff? Maybe not so much:
Imagine a box. Laying on the bottom of the box is a piece of paper which you want to read. The box is closed, but there is an iPhone sized opening on the top of the box. So if you look through the opening you can see part of the paper. (There is light inside the box, don’t get picky on me here.)
Now imagine that you can slide the opening around the top of the box so that even if you can only see an iPhone sized subset of the paper, you could move that “window” around and see any part of the paper. You could start at the top left of the box and move left to right and then back to the left side and read.
Suppose you can raise and lower the lid of the box so you have two dimensions of control. You can zoom in and out, and you can pan the iPhone-sized-opening around.
Now, forget about the box. The iPhone has an accelerometer. It can sense when you move it around. With software it can perfectly simulate that experience. I can read anything on my iPhone with text as large as I wish, without scrolling, by just moving the phone around. With one hand.
This should be the main UI metaphor for the whole iPhone OS.
You are late with a report and its not ready. Do you wrap it up and submit it or keep working until its ready? The longer it takes you the higher standard it will be judged by. Because if you needed the extra time it must be because its going to be extra good.
For some people the speed at which they come up with good ideas outpaces these rising expectations. Others are too slow. But its the fast ones who tend to be late. Because although expectations will be raised they will exceed those. The slow ones have to be early otherwise the wedge between expectations and their performance will explode and they will never find a good time to stop.
Compare Apple and Sony. Sony comes out with a new product every day. And they are never expected to be a big deal. Every single Apple release is a big deal. And highly anticipated. We knew Apple was working on a phone more than a year before the iPhone. It was known that tablet designs had been considered for years before the iPad. With every leak and every rumor that Steve Jobs was not yet happy, expectations were raised for whatever would eventually make it through that filter.
Dear TE referees. Nobody is paying attention to how late you are.
I have a simple system for organizing recipes. I try out recipes I find in cookbooks, blogs, magazines, whatever. When one hits I do the following.
- Take a picture of it.
- Write down a list of the ingredients I wouldn’t typically have stocked.
- Email the above plus a link to the recipe (or what page in what cookbook) to myself.
Because the time you really need recipes is when you are shopping and you see, say some really good looking okra and you need to know what else to get. You pull out your iPhone, you search for okra in your mail folders, you get a picture and a list of ingredients. You go home and cook.
The picture is absolutely key. Think of your cookbooks at home. Which recipes do you most often cook? Its the ones with the beautiful photos in the middle of the book. The photo reminds you how yummy its going to be. Wouldn’t you love to cook this tonight?
Here is some simple market power analysis of Apple’s use of the iPhone as a platform. Think of it as a device you have to buy in order to obtain services from sellers who use the iPhone platform. The kinds of services you can buy are voice calls (currently from AT&T), music (currently from Apple via iTunes but also via third-parties like Pandora), and applications (from third-party developers via the app store.)
Apple controls the platform, so it can decide whether to provide a service itself (as with iTunes), and if not who provides each service, whether the provider will be exclusive (as with AT&T), and what price to exact from the transaction. Of course, Apple also sells the handset to you and all of the above factors in to how much you are willing to pay for the iPhone.
Here is a basic principle of monopoly power that is central to these decisions. Whether Apple wants to exclusively provide a service or allow a competitive supply from third-parties depends on which of its customers will benefit from the service. Suppose the service has similar benefits for all iPhone users. Then Apple can allow the service to be competitively supplied (as with the App Store) and capture the benefit by raising the price of the iPhone.
On the other hand, if the service will most valuable to those iPhone users who already have a high willingness-to-pay for the phone (the so-called infra-marginal users,) then Apple wants to exclusively provide the service (or contract with an exclusive provider.) The reason is that the price of the iPhone handset is determined by the marginal user. In order to raise the price of the phone itself to capture the benefit to high-end users, too many marginal users would be price out of the iPhone and profits would go down. Instead, Apple captures the value of high-end services (like 3G voice and data) by controlling the supply and pricing the service separately.
The cynical way to interpret this is to say that Apple’s exclusive contract with AT&T is simply a way to extract surplus from high-end users. The more charitable interpretation is that without this exclusive contract, as a monopolist, Apple would have less incentive to make the phone compatible with high-end services.
Developer Kalid Shaikh has been banned from the iPhone App Store. By conventional welfare measures this would seem to be a big blow to efficiency:
As the MobileCrunch article points out, a search at AppShopper.com shows 854 apps by Shaikh. The majority of Shaikh’s apps seemed to be data on a specific subject simply pulled from the web without providing any other original or unique content. Most apps were priced at $4.99 and this banishment could represent lost sales of thousands of dollars per day. Shaikh reportedly has admitted that the goal was not to produce valuable apps but to focus on monetization instead. All of Shaikh’s apps have already been removed from the App Store and can no longer be purchased.
Perhaps conventional welfare measures would need to be amended in this case. Note however, that removing one large supplier of what is essentially spam from the App Store will not affect the equilibrium quantity of spam. (And this is not Apple’s stated reason for removing him.)
Smartphones are valuable because they make it possible to substitute tasks over time and across locations. As a result we are freer to be where we want to be when we want to be even if we have work to do. So when you see, say a parent thumbing away on his iPhone at an otherwise family function, before you judge him remember that without his iPhone he might not be there at all.
As a part of a broader revival of Section 2 of the Sherman Act, the anti-trust division of the Department of Justice, under Obama appointee Christine Varney, has opened a review of potentially anti-competitive practices by the dominant telcom providers. One specific issue that has received attention is exclusionary contracting between wireless carriers (AT&T) and handset manufacturers (Apple iPhone.) The FTC is reportedly also exploring these contracts. Exclusive contracts bind a manufacturer’s handsets to specific carriers thereby hindering or preventing end-users from migrating to other carriers. The widespread nature of these contracts may create a barrier against entry by new, smaller wireless providers who cannot offer their users handsets that compete with the top models.
The review is reported to be at an early stage and may not lead to a formal investigation, but as this develops there are a few basic economic arguments to keep in mind. To start with, there is the benchmark “Chicago School” view which starts with the observation that exclusionary contracts require the voluntary agreement of the handset manufacturers. The manufacturers internalize the costs of the entry barrier because without entry they will have fewer competitive carriers to sell their phones to. Therefore, exclusive contracts must compensate manufacturers for this loss impying that these contracts will be in place only when the total surplus from exclusion exceeds the cost, i.e. when it is efficient. The Chicago argument is a longstanding pillar of regulatory policy that still holds sway today. From the article:
Jon Muleta, former wireless bureau chief of the FCC, said exclusive handset deals won’t be an issue the government can pursue on antitrust grounds unless major handset makers say they’re being forced into the deals. “The equipment providers enter into these deals willingly,” Mr. Muleta said.
The Chicago argument ignores the costs to end users from reduced competition in wireless service. It would apply only if manufacturers internalize all of the benefits to consumers from increased competition. But under any reasonable model of the wireless market structure, end-user consumer surplus would increase with more competition for wireless service and this becomes an externality relative to the parties in the Chicago bargain.
Secondly, the Chicago argument has been discredited as it takes a naive view of the way contract negotiation would work. Implicitly, the Chicago argument assumes that handset manufacturers must be compensated at least what they would earn if entry were to occur. But scale economies imply that a new carrier will enter only if sufficiently many, or sufficiently large, manufacturers remain free of exclusive deals. The dominant carriers can use a “divide and conquer” strategy which exploits the difficulty for handset manufacturers to coordinate severing their exclusive deals. Without this coordinated threat, manufacturers cannot extract the compensation envisioned in the Chicago argument, and again efficiency breaks down.
There is a separate defense of exclusive contracts, often cited and also reflected in the article.
Paul Roth, AT&T’s president of retail sales and service, told Congress last month that the billions of dollars the company invests in its network and services would be put at risk if government were to “impose intrusive restrictions on these services or the way that service providers and manufacturers collaborate on next-generation devices.” Mr. Roth said there is plenty of competition and innovation in the wireless industry.
AT&T’s tremendous investment in its 3G network will pay off only because of its exclusive deal with Apple to market the iPhone. Thus, it is often argued that exclusive contracts are in fact pro-competitive as they reward investment with profits that would otherwise be subject to hold-up or competed away. I will take up this argument in a subsequent post.
Should texting, emailing and browsing be banned in meetings? This article discusses the current climate.
Despite resistance, the etiquette debate seems to be tilting in the favor of smartphone use, many executives said. Managing directors do it. Summer associates do it. It spans gender and generation, private and public sectors.
A few years ago, only “the investment banker types” would use BlackBerrys in meetings, said Frank Kneller, the chief executive of a company in Elk Grove Village, Ill., that makes water-treatment systems. “Now it’s everybody.” He said that if he spotted 6 of 10 colleagues tapping away, he knew he had to speed up his presentation.
While I would always prefer to have my iPhone handy, I would volunteer to keep the meeting smartphone free. And that is not because I want the undivided attention of my colleagues. If we all deprive ourselves we create high-powered incentives to keep the meeting as short as possible. That sentiment is echoed here:
Mr. Brotherton, the consultant, wrote in an e-mail message that it was customary now for professionals to lay BlackBerrys or iPhones on a conference table before a meeting — like gunfighters placing their Colt revolvers on the card tables in a saloon. “It’s a not-so-subtle way of signaling ‘I’m connected. I’m busy. I’m important. And if this meeting doesn’t hold my interest, I’ve got 10 other things I can do instead.’ ”
One of the highly touted features of the iPhone is the abundance of applications available for near-instantaneous download and seamless installation. In traditional Apple fashion, in order to keep full control of the software environmnet and maintain this seamless experience, Apple exercises strict control over which apps are made available through the app store. Short of jailbreaking your phone, there is no other way to install third-party software.
The process by which apps are submitted and reviewed strikes many as highly inefficient. (It also strikes many as anti-competitive, but that is not the subject of this post. There are legitimate economic arguments supporting Apple’s control of the platform and for my purposes here I will take those as given, although for now I remain agnostic on the question.) Developers sink significant investment producing launch-ready versions of their software and only then learn definitively whether the app can be sold. There is no recourse if the submission is denied.
(Just recently, we witnessed an extreme example of the kind of deadweight loss that can result. A fully licensed, full-featured Commodore64 Operating System emulator, 1 year in the making, was just rejected from the app store. )
Unfortunately, this is an inevitable inefficiency due to the ubiquitous problem of incomplete contracting. In a first-best world, Apple would publicize an all-encompassing set of rules outlining exactly what software would be accepted and what would be rejected. In this imaginary world of complete contracts, any developer would know in advance whether his software would be accepted and no effort would be wasted.
In reality it is impossible to conceive of all of the possibilities, let alone describe them in a contract. Therefore, in this second-best world, at best Apple can publish a broad set of guidelines and then decide on a case-by-case basis when the final product is submitted. This introduces inefficiencies at two levels. First, the direct effect is that developers face uncertainty whether their software will pass muster and this is a disincentive to undertake the costly investment at the beginning.
But the more subtle inefficiency arises due to the incentive for gamesmanship that the imperfect contract creates. First, Apple’s incentive in constructing guidelines ex ante is to err on the side of appearing more permissive than they intend to be. Apple knows even less than the developers what the final product will look like and Apple values the option to bend the (unwritten) rules a bit when a good product materializes. While it is true that Apple’s desire to keep a reputation for transparent guidelines mitigates this problem to some extent, the fact remains that Apple does not internalize all the costs of software development.
Second, because Apple cannot predict what software will appear it cannot make binding commitments to reject software that is good but erodes slightly their standards. This gives developers an incentive to engage in a form of brinkmanship: sink the cost to create a product highly valued by end users but which is questionable from Apple’s perspective. By submitting this software the developer puts Apple in the difficult position of publicly rejecting software that end users want and the fear of bad publicity may lead Apple to accept software that they would have like to commit in advance to reject.
The iPhone app store is only a year old and many observers think of it as a short-run system that is quickly becoming overwhelmed by the surprising explosion of iPhone software. When the app store is reinvented, it will be interesting to see how they approach this unique two-sided incentive problem.
Update: Mark Thoma further develops here. He didn’t ask in advance for permission to do that, but if he did I would have given encouraging signals but then rejected it ex post.
(I have taken to titling my posts in the style of an Alinea dish.)
I was reading one recent morning to my 2 year old boy a story from Frog and Toad. In this story, Toad is grumpy about Winter but Frog talks him into coming for a sleigh ride. Once the sleigh gets going really fast, Toad begins to forget all of his complaints and enjoy the ride. Unbeknownst to Toad, Frog is knocked off the back of the sleigh as the sleigh starts to hurtle faster and faster down the hill. Despite the sleigh being without a driver and completely out of control, Toad begins to feel more and more secure and at peace with the Winter.
Of course, something is going to happen to bring it all crashing down on Toad. In fact, what happens is not that the sled crashes into a tree, at least not yet. What happens is a crow flies by and upon hearing Toad describe what a wonderful ride he and Frog are having, points out to Toad that Frog is not behind him anymore. Its only after learning that there is nobody at the wheel does Toad panic and cause the sleigh to crash.
This is a recurrent theme in children’s literature. I think the quintessential expression of it is from the cartoons, especially the roadrunner/coyote cartoons. Here is the image. Coyote is chasing roadrunner through some rugged canyonland along a steep ridge and the chase brings Coyote to a cliff. He is so focussed on finally nabbing the roadrunner that he does not notice that he has run off the cliff. He keeps running. In mid-air. But then at some point he looks down and notices that there is no ground beneath his feet and at that moment that he falls to back to Earth. (At which point he turns to the next page in his ACME catalog and the chase is on again…)
If you run off a cliff you should make sure you are running fast and that the opposing cliff is not too far. It also helps to be like the roadunner: looking down is not in his nature and he always makes it to the other side.
I think of Obama’s first 100 days as running off a cliff. We have a pretty good running start. So far we are not looking down. I hope we get to the other side before somebody does. And please, pay no attention to the crows.
What does Melinda Gates want that the rest of the four of us have?
When I think of a subject to post about but I am too busy to mold it right then I write an email to myself with a few words that are supposed to remind me of the thought when later I have the time and context to flesh it out. But I have an iPhone which likes to take my self-email shorthand which it doesn’t recognize and “correct” it its best guess of what I mean.
Tonight, I received an email from myself with the following subject: “duct virc.” And now I have no idea what that was supposed to be about.