CAUTION Amused Scientist (I am not mad yet. Thou I am angry about the world not living up to the potential science can offer.)

B.S. Physics, U of MN
Hobbies in no particular order:

• Amateur Astronomy
• ESP32
• Arduino and Artuino UNO
• KiCad
• FreeCAD
• RPi
• Linux
• Amateur Radio (KE4AXQ)
• Wood & metal working
• Private Pilot
• SCUBA
• Archeology
• Paleontology
• Freethought (fighting supernatural nonsense where ever found.)

Recently (2024-2025) I have been volunteering with Public Invention on the Krake Project. See: https://github.com/PubInv/krake
Krake is the child project of GPAD project (2022). See:https://github.com/PubInv/general-alarm-device
Public Invention is a non profit company whose mission is:

We invent things that help all people. We empower inventors, technologists, and students to publish, find, and collaborate on invention ideas through direct coaching, team formation, curation of work, publication, co-working/learning events, and in some cases material support.

Other:
Facebook: https://www.facebook.com/forrest.erickson.5
Youtube: https://www.youtube.com/@forresterickson6225
Your ORCID iD: 0009-0006-3624-0382, Your ORCID record is https://orcid.org/0009-0006-3624-0382

Novel and diverse spelling

Tensor Notation.

Example of two rotaions. Each CCW. First by 45 degrees and then an additional 30 degrees.

The original vector in the Standard system:

$$ V^j = \begin{pmatrix} 1 \ 0 \end{pmatrix} $$

An alternate form of the original vector in the Standard system: $V^j = [1, 0]^\intercal$

The first transformation (45° CCW) to the Primed system: $V'^i = A^i{}_j V^j$

The second transformation (+30° CCW) to the Double-Primed system: $V''^k = B^k{}_i V'^i$

The Total Transformation from start to finish: $V''^k = (B^k{}_i A^i{}_j) V^j$

The first rotation matrix ($A^i{}_j$) for 45° CCW:

$$ A^i{}_j = \begin{bmatrix} \cos(45^\circ) & \sin(45^\circ) \\ -\sin(45^\circ) & \cos(45^\circ) \end{bmatrix} \approx \begin{bmatrix} 0.707 & 0.707 \\ -0.707 & 0.707 \end{bmatrix} $$

The second rotation matrix ($B^k{}_i$) for an additional 30° CCW:

$$ B^k{}_i = \begin{bmatrix} \cos(30^\circ) & \sin(30^\circ) \\ -\sin(30^\circ) & \cos(30^\circ) \end{bmatrix} \approx \begin{bmatrix} 0.866 & 0.500 \\ -0.500 & 0.866 \end{bmatrix} $$

// Program information
#define COMPANY_NAME "Amused Scientist"
#define PROG_NAME "Explosive_Space_Modulator"
#define VERSION "; Rev: 0.99" //
#define DEVICE_UNDER_TEST "Hardware: Illudium Q-36" //A model number
#define LICENSE "GNU Affero General Public License, version 3 "
#define WARRANTY "Designed to kill you and render the earth uninhabitable, but not guaranteed to do so."

void printProgramInfo() {
Serial.print(COMPANY_NAME);
Serial.print(PROG_NAME);
Serial.println(VERSION);
Serial.println(DEVICE_UNDER_TEST);
Serial.println(LICENSE);
Serial.println(WARRANTY);
Serial.print("Compiled at: ");
Serial.println(F(__DATE__ " " __TIME__) ); //compile date that is used for a unique identifier
}//end printProgramInfo()