CTK Insights

Archive for the 'computers' Category

28 May

Biochemical Algorithms and School Algebra

You know, the nurses there did not appear to lack in intelligence. They carried out intellectually demanding jobs, most of the time sitting in front of networked computers or handling mobile devices. I did not dare to asked her whether or not she took an algebra course either in high school or a college. It was obvious that, even if she did, the powerful algebraic tools that were (and are) being peddled to students for their own good by the education establishment had little effect on her thinking or the excellent manner in which she carried out her duties.

07 Jun

Dynamic Software as Serendipity Enhancement

Checking the "Extra" box will suggested a few more properties: angle MAN is not the only angle in the diagram that equals 45 degrees (e.g., angle ADN and angle CMD; angle NLM=90 degrees; some intersections (N,D,L,E,M) are concyclic; there are several similar triangles (e.g., ALN and NLD).)

There are probably other properties. Should you find any, please let me know

27 Feb

Computers - then and now - from personal experience

The backbone of the project was an iterative process devised by von Neumann and Jule Charney. ENIAC was operated via punched cards. The calculations were performed by the computer but it was humans who fed the computer punched cards input. The output also consisted of punched cards, and again it were the human operators who had to collate the cards and submit the bunch to the computer for the next iteration

17 Apr

The Turing Test

TweetIn a 1950 paper Computing Machinery and Intelligence the British mathematician Alan Turing came up with what is now known as the Turing test. Turing set out to answer the question of whether machines can think. As a practical substitute for that difficult question, Turing inquired whether machines can exhibit intelligent behavior. But how one […]

24 Oct

Combinatorial Mathematics with Applications: an Example

TweetIn their textbook Discrete Algorithmic Mathematics authors Stephen Maurer and Anthony Ralston offer a light-hearted example [pp. 217-221]: When checking into a hotel nowadays, sometimes a guest receives a four-digit "combination", not a key. On the door of each room is a keypad. Any time those four digits are entered in the proper sequence (regardless […]

19 Sep

The leapfrog problem - who is right?

Tweet In chapter 7 of his book Number-Crunching Paul Nahin treats a "Leapfrog" problem posed by M. Schwartz from Ventura, CA, to Marylin von Savant in her "Ask Marylin" column: A friend and I once went from his house to mine with one bike. I started walking and he rode the bike. When he got […]

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