The roots of this business extend back to the summer of 2013. Jacob and his dad created a unique depiction of the name of the college he is attending, Colorado School of Mines. The CSM Alumni Association liked the design and Jacob thought it would be fun to start a new business by creating a website to sell shirts and mugs imprinted with our design. www.jdcproducts.net
Here is the back-story, in
Jacob's words:
I’ll admit: I’m competitive. Most of my peers at Mines are as well. That’s why I knew I had to recreate something that I saw from a rival institution. During our family vacation over the Fourth of July holiday this year, I saw someone wearing a nifty t-shirt that used equations to represent each of the three letters in the acronym of a peer university (whose name I am probably not perMITted to mention here). I thought to myself “Hey, Mines students are smart. We must have a cool shirt like that!” So, later that day my Dad and I decided we were up for the challenge. Sitting in a diner we devised a mathematical equation for each letter of “M-I-N-E-S.”
The “E” and the “S” were the most difficult, but not insurmountable. We wanted to use a different equation for “E” than just rearranging the one we used for “M.” The “S” was a real challenge too; but after some thought, we figured out how to represent each letter. Our family proudly sports matching t-shirts, displaying our M-I-N-E-S connection. Students on campus instantly recognize the formulas, given that we are completely immersed in this type of thought daily. But, we love seeing the facial expressions of non-Mines people who envy our shirts. Or, perhaps they are actually perplexed faces…
Jacob Chadwick
Future alumnus
Class of 2014
Colorado School of Mines
The Cheat Sheet, also in Jacob's words:
When I spotted an MIT t-shirt that used a formula to spell the school’s name, I knew that Mines could top it. It took several days of creative thinking to develop the formula on the new CSM Alumni Association decal. Here’s my explanation of each letter—but as a member of the Mines community, you probably won’t need it. M – From the famous mass-energy equivalence equation E=mc², solving for “m” gives E/c²
I – The square root of -1 is an imaginary number, which is commonly represented by “i”
N – “PV=nRT” is the ideal gas law, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. Solving for “n” gives PV/RT
E – The “e” was tricky. The number “e” is the base of the natural logarithm, and is approximately equal to 2.71828… (the digits go on for infinity, because e is an irrational number, much like π). from n=0 to infinity is equal to this same number. I will summarize the first few “n” values: 1/0!+1/1! +1/2! +1/3! +1/4! +1/5! +1/6!= 1/1+1/1+1/2+1/6+1/24+1/120+1/720=2.71805… If this series is continued, it approaches the value of 2.71828…, or the number “e.” This formula is the Maclaurin series for e^x when x=1. S – Also tricky. The Gibbs-Helmholtz Equation (from thermodynamics) is ΔG=ΔH-TΔS, or the change in Gibbs free energy equals the change in enthalpy minus temperature times the change in entropy. Removing the “Δ” from G, H, and S for simplicity, and solving for “S” gives (H-G)/T. This is formula also known as the Gibbs free energy function solved for entropy. Jacob Chadwick, Class of 2014
