There is a monkey hitting a typewriter at random. He is only hitting letters and that the chance for each letter to get hit is equal. Do you have to wait on average longer, the same or shorter before the monkey will have typed 'abracadabra' or 'abcdefghijk' (i.e. a string with an equal amount of characters)? Let's find out.

A long time ago a good friend of mine told me this puzzle. Let's say there is a monkey hitting a typewriter at random. And let's assume he is only hitting letters and that the chance for each letter to get hit is equal. Do you have to wait on average longer, the same or shorter before the monkey will have typed 'abracadabra' or 'abcdefghijk' (i.e. a string with an equal amount of characters)? Don't start reading the next paragraph if you want to solve the puzzle, since I am going to give away the answer.


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Most people tend to say, well, it must be 'abracadabra' that on average shows up first. Abracadabra's can overlap, so it is just more likely that you have that sequence and therefore you have to wait less long on average before it appears. Sounds reasonable enough, but is of course wrong.

A smaller group of people tends to say that it must be equally long. If you randomly select a character in the stream of characters coming from the monkey and ask yourself, how likely is it that at this point 'abracadabra' or 'abcdefghijk' starts, you'll see that these chances must be equal, that is, once the monkey starts typing the first letter of the sequence, he has to type exactly one letter as the next and the chance of him doing that is 1 in 26 and this is independent on what he needs to type. Again, sounds reasonable but is also wrong (or more to the point, this is correct, but that was not the question).

That pretty much leaves only the third option, i.e. abracadabra takes longer. I have two explanations here. The first one combines the previous two answers. Yes, abracadabra's can overlap and yes the chance for abracadabra to start at a certain point, is the same as for a-k. So if we have a lengthy string of characters typed by our monkey, we expect that the number of occurrences for abracadabra to be the same as for a-k. But since abracadabra's can overlap, they take up less space so to say (i.e. a larger portion of this string is made up of characters that are not part of abracadabra then not part of a-k). Therefore the average distance between groups of characters that are part of abracadabra must be larger than the average distance between groups of characters being part of a-k. Since when we are starting to type we are not in the middle of a group of abracadabra characters, it will take longer before we encounter some group first.

Not everybody is convinced by this explanation. Another way of looking at it, is to look what happens when the monkey types and only needs the last character of any of the targets. In the case where he is trying to type abracadabra, there are two options, either he types the a, or he doesn't. If he doesn't, the monkey will have start all over again. In the case of a-k, the monkey as three options: he types a 'k' and we're done, he types b-j and we have to start over, or he types an 'a' and the monkey has blown this chance of typing a-k, but we already have the first letter of the next try, something that doesn't work with abracadabra.

If you're not convinced still, run the program below. I am not using abracadabra, but ab vs aa. And my monkey doesn't type all letters, but only a,b,c,d,e and f. Still, this shouldn't make a difference. Except for one thing: on average you have to wait 34 characters before you see 'ab' and around 40 before you see 'aa' . However, if you let the monkey type and you count how often 'ab' occurs before 'aa', you'll see that this is equal. Confused? Well, the first chance of either 'ab' or 'aa' is just after the first 'a'; if the monkey types an 'a' or a 'b' we're done. However, if the monkey types an 'a', 'aa' wins, but 'ab' has good chance of being just one after. If 'ab' wins, 'aa' has no such chance.


This is a wonderful addition / extension to Joel Korte's Chase Bliss Audio range - being devised and overseen by a separate collective of musicians and artists, even though still manufactured by Joel Korte's team, and comes in a black Chase Bliss Audio embossed / stamped wooden box. As I've noted before - this is the combination of the Gravitas Tremolo with a rather unusual Regulus VIII style Fuzz - giving you a vast range of tones and textures - with all the usual Chase Bliss touches like Bounce Ramping etc. This proved a rather pricey endeavour for me - including delivery and customs charges, but I would still do it again - and hope to pick up further Abracadabra releases as and when they happen. The earlier batch runs of the pedals seemed to be available for US customers only this latest batch was available internationally to a few lucky buyers.

This Trainwreck Express amp clone has a rather unusual control topology, but is hugely versatile with a lot of bark, bite and some serious bottom end achieved by tweaking the various dials and switches. Custom Tones are most famous for their line of Ethos Dumble-style pre-amp pedals, so the TWE-1 is a very slight departure from that, and in a more compact form factor. I used to have a specific Dumble-style slot in my pedal-chain - it is currently occupied by this pedal! I decided last year that I would order it at the start of this year, and it took until the second week of April I believe to arrive - which is sort of per expectations. This is a great amp-like PreAmp style pedal - well worth the wait.

Paul Trombetta is a rather unusual case as it goes. He used to have extensive waiting lists for his beautifully hand-etched and hand-made pedals which I guess got rather too much for him in the end - looming deadlines and always there pressure to deliver. So of late he's suspended the waiting lists and taken to do just producing what he wants, when he wants - which means that a single pedal periodically appears on his website store and is of course immediately taken by one of the many Trombetta enthusiasts. The extended range of 14 pedals has many classics within it, but I am most interested in the multi-mode / multi-switch Tone Bender style kitchen-sink fuzz pedals - the Mini-Bone GeSi, and in particular - the fully loaded Bone Machine GTx - neither of which I have seen available for over a year now. Examples do pop up occasionally on Reverb, but usually not the more recent fully-loaded versions. To make matters somewhat worse - Paul usually posts up the legend 'Ships to US only' on his store - which is somewhat inconvenient. All in all this is a somewhat peculiar operation - but there is no doubting the quality of the finished pedals.

The video has only been out for a few hours now, but at least Dan liked it. He retweeted it to his followers, which definitely helps. We\u2019ll see how it does overall, given that it\u2019s longer than my usual videos (almost 24 minutes) and is pretty technical. If you do take a look, the funny parts (such as they are) are in the section at the end called The Jury Verdict, starting at 21:58.

The random patterns on these displays is unfortunately a common phenomenon.

But anyway, if you have swapped the displays and nothing works on the new display, it could simply be the screen contrast setting is not appropriate for the new display. There is usually a potentiometer connected to pin 3 (V0) to control this voltage.

What, incidentally is the voltage between pins 1 and 2 ( Vss adn Vdd) 5 volts ? and is that what the new screen was advertised as supporting ? Some support only 3.3 volts.

From looking at the photos, it isn't a contrast control issue, you can see the pixels just fine.

The issue is that characters on the display are incorrect.

This usually happens when the LCD looses 4 bit nibble sync with the host.

Rulesheet: A high-quality full-color rule-sheet, printed with plenty of examples and illustrations. I'm always a bit intimidated by daVinci's rules because they always look long, all printed on a single rulesheet, but they usually read easily and quickly.

Methods and procedures:  Children were aged 5.83-8.42 years (n = 23). Some children were assigned to an instruction group and received a minimum of 20 h of ABRA instruction over 9 weeks (n = 11). The other children comprised an age- and ability-matched control group (n = 12) and received business as usual literacy instruction. Outcome measures included word-level accuracy, passage-level accuracy, and passage-level comprehension, all assessed using standardized tests that were independent of ABRA.

How long does it take for a child to complete all six stages of the Abracadabra Method?

 It usually takes about four months, but of course it depends on a number of factors. The older your child is, the more rapid the progress is likely to be. Also, the more consistently you, the parent, follow the instructions for the daily lessons, the more rapid the progress is likely to be.

Bin is a Pokegod that is from German fans of Pokemon. Alakazam is named "Simsala" in Germany because the usual magical phrase is "Abracadabra Simsala-Bim" This caused people to believe a 4th hidden evolution existed.

As usual, the Dev Update following a video is going to be a slightly shorter one. I hope you enjoyed our discussion with Antoine about the lore of Solasta, the video was very interesting to work on. We've had to trim quite a few answers to avoid entering spoiler territory of course, you'll have to forgive us for that. Another challenge was that my co-workers were definitely not being cooperative during the editing stage, as can be seen in the picture below.

Meetings come in all shapes and sizes, and each meeting requires specific solutions to achieve success in a given circumstance. What that means in practical terms is that there are no "cookie cutter" solutions. Each event is unique and requires the utmost attention and consideration, and a practical solution geared toward the ultimate success of that particular event's requirements. That being said, there are certain typical elements that are usually present in most large scale events. 17dc91bb1f

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