Author Archives: mathscinotes

Incredible Mechanical Music Player

Take a look at this digitally-created instrument and how it is being played.

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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

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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 | Comments Off on Presidential and Civil War Trivia

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

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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