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Author Archives: mathscinotes
Incredible Mechanical Music Player
Take a look at this digitally-created instrument and how it is being played.
Posted in Personal, Uncategorized
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Schmitt Trigger Design Math
I have a home project that requires me to design a Schmitt trigger circuit. There are numerous places on the web where you can find design equations for the Schmitt trigger constructed using an open-drain comparator. Unfortunately, these design equations do not model the output low-level saturation voltage of the comparator and in my application I need to be concerned about this voltage. My objective is to determine formulas for the resistors in the circuit as a function of the various threshold and output voltage levels I require. Continue reading
Posted in Electronics
14 Comments
Old School Spacecraft Thermal Insulation
Quote of the Day Everything not forbidden is compulsory. — T.H. White, The Book of Merlin. I have heard people make similar statements about quantum mechanics, particle physics, and cosmology. Introduction I saw this article about a solar probe called … Continue reading
Posted in Astronomy, History of Science and Technology
1 Comment
Mars Rover Solar Panels Getting Dirty
While reading some articles on the Mars rovers, I saw this pair of pictures showing the Opportunity rover's solar panels first deployed in January 2004 and today − its solar panels are now very dirty (Source). There was a time … Continue reading
Posted in Astronomy
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Heavy Water Ice Cubes Do Not Float
Quote of the Day The problem with object-oriented languages is they’ve got all this implicit environment that they carry around with them. You wanted a banana but what you got was a gorilla holding the banana and the entire jungle. … Continue reading
Posted in General Science
14 Comments
Presidential and Civil War Trivia
Quote of the Day Pay no attention to what the critics say; There has never been a statue erected to a critic. — Jean Sibelius I like to watch CSPAN's history coverage. During a recent program, I heard an historian … Continue reading
Posted in Military History
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Two Napa Valley Winery Tours
Quote of the Day The emotion at the point of technical breakthrough is better than wine, women and song put together. - Richard Hamming Introduction I am on a business trip this week to Petaluma, California, and for the first … Continue reading
Posted in Personal
2 Comments
Sewer Math
Quote of the Day A startup is a temporary organization searching for a repeatable and scalable business model. - Steve Blank Introduction A good friend of mine is an entrepreneur and I caught him doing some math the other day. … Continue reading
Posted in General Mathematics
6 Comments
Lead Paint Math
I shudder to think of the Romans using lead acetate as a food sweetener. Our use of lead as a gasoline additive, which put lead into the air, was probably not very health either. I saw a blog post where a construction worker was asking about how much lead there is in one square foot of painted wall surface. I thought it would be worthwhile to work this number out. Continue reading
Posted in General Science, Health
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Mathcad Solution to an LVPECL to LVDS Matching Problem
Introduction A circuit question walked into my cube the other day. An engineer in another group was working his way through an application note and he found the presentation unclear -- I agreed with him. The application note provided an … Continue reading
Posted in Electronics
1 Comment