@reasontools
💡 Exploring logic.
For lovers of science, maths and art.
PCB Art
Get your hands on unique pieces of PCB art which are educational and fun! Designed to be beautiful, long-lasting and useful.
Fagan Nomogram
"Medicine is a science of uncertainty and an art of probability" - Sir William Osler
The Fagan Nomogram makes solving the mathematics behind updating your beliefs as simple as connecting points on a diagram. It is named after Dr. Terrence J. Fagan who created the first nomogram for bayes' rule (aka bayes' theorem) nearly 50 years ago to help with medical decision making.
The Fagan Nomogram is already in use by doctors and allied health professionals, typically by using a paper printout, a ruler and a pen to draw a straight line. However, one could argue with the amount of unnecessary medical tests being performed (some studies indicate 40-60%), that it's not being used to it's full potential.
The handheld version you see here aims to a) make it even easier to use the Fagan Nomogram and b) raise awareness for such an amazing tool which has many uses.
The focus so far has been on medicine, where the beliefs in question are usually about diagnosis. Turns out beliefs about other things can also be examined using the Fagan Nomogram. It could be political, technical, or about everyday life. While it's not suggested to run the mathematics on every single belief you have, doing so for some can be a helpful exercise. In fact, you can even forget the maths to enjoy the benefits of such a handy tool. This is because while the Fagan Nomogram is a compact calculator it also serves as a reminder to think rationally. It prompts you to think about alternative explanations which is often enough to prevent jumping to conclusions.
So whether you are buying a thoughtful gift for you or someone else, the type of person who would appreciate having a handheld Fagan Nomogram would likely be:
a) an evidence-based practitioner in health, engineering or other fields where bayes' rule is applied.
b) a medical student or doctor.
c) a well-informed and savvy health-care user.
d) someone who like science.
e) someone who likes mathematics.
When you purchase this tool you will receive:
1) A handheld Fagan Nomogram made from a gold plated printed circuit board (PCB). It's functional, durable and beautiful.
2) A reusable isopleth. Basically a straight line that let's you connect points on the nomogram.
3) A bonus likelihood nomogram and a QR code to a web-page containing more information, examples and a quiz.
4) A sample question with it's graphical solution.
5) Most importantly, the opportunity to learn or revise an invaluable skill, how to apply bayes' rule.
Music Theory
“Music is the art of thinking with sounds.” - Jules Combarieu
Unlock the world of music theory anytime, anywhere with this set of compact, portable music theory cards designed for musicians on the go. This toolkit puts essential music theory concepts right at your fingertips, no matter where you are. Ingeniously crafted from printed circuit board (PCB) material with a dazzling gold surface finish, these cards blend functionality with aesthetic appeal, transforming music theory into a form of PCB art.
This set includes three interactive, thoughtfully designed components including the famous circle of fifths, the lesser-known tonnetz diagram and a newly created chord nomogram:
Below is a quick summary of tools you'll find in the set:
- Circle of Fifths: This double-sided card features a vibrant Circle of Fifths on the front, serving as a handy reference for key signatures, scales, and harmonic relationships. On the back, you'll find a handy reference of common scales you can experiment with.
- Tonnetz Diagram Cards: Dive into the intriguing world of harmonic relationships with this set of cards that form an interactive Tonnetz diagram (German for 'tone network'). By arranging and rearranging these cards, you can explore spatial relationships between notes and understand chords, inversions, and musical transformations in a unique, hands-on way.
- Chord Nomogram: Visualize and construct common chord structures with this original Chord Nomogram card. This tool demystifies chord-building, providing a visual guide to understanding the relationships and patterns within chord structures, thus enhancing your composition and improvisation skills.
There is also an interactive web app that pairs perfectly with this set. Explore the sounds that music theory enables for you and solidify your understanding.
Whether you're a music theory novice, a budding composer, or a seasoned musician looking for a quick reference tool, this toolkit offers a convenient and engaging way to explore, learn, and play with music theory. Keep the power of music theory within reach!
The Brachial Plexus
Mapping Signals, Unleashing Power: Unveiling the Brachial Plexus with PCB Art
Here we have a unique product that invites curious minds to explore the fascinating parallels and distinctions between human anatomy and the realm of electronics. This credit-card sized printed circuit board (PCB) features a schematic of the Brachial Plexus etched on one side while the root-to-nerve innervation's are revealed on the reverse side.
A novel study companion or conversation piece you can carry with you. Whether you are an anatomy student, electronics student or science enthusiast, you are sure to enjoy this special piece of PCB art.
To enhance your experience, we have also created a companion web app that includes quiz questions to test your knowledge about the connections of the Brachial Plexus. This interactive tool allows you to deepen your understanding and engage in a fun learning experience.
So what is the Brachial Plexus and what is a PCB?
- The Brachial Plexus is a network of nerves in the shoulder that carries movement and sensory signals between the spinal cord and the upper limb.
- Similarly, a PCB acts as a network of conductive pathways, allowing the flow of electrical signals between different electronic components. The modern world would stop working without them.
Whether you're fascinated by the intricate network of nerves in the Brachial Plexus or intrigued by the fundamental role of PCBs in electronic devices, our product offers a unique and educational exploration of these subjects. Embrace the fusion of human anatomy and electronics and embark on a journey of discovery with our one-of-a-kind PCB art.
Heart of Gold
From Hearts to Circuits ❤️.
At the heart of it, this piece of PCB art merges the realms of human anatomy and electronics. At the size of a credit-card, this printed circuit board (PCB) offers a captivating fusion of knowledge, featuring a meticulously labeled anatomical diagram of the heart on one side and a circuit diagram representing the circulatory system on the other.
On the anatomical side, you'll find a beautifully detailed illustration of the heart, showcasing its chambers, valves, major blood vessels, and other essential structures. Each component is labeled, providing a comprehensive understanding of the heart's intricate anatomy.
Flipping the card to the other side unveils a circuit diagram representing the complex network of blood vessels and the flow of blood throughout the circulatory system. As you study the circuit diagram, take a moment to reflect on the fascinating parallels between the flow of electrical currents in an electronic circuit board and the flow of blood in the circulatory system. Consider how both systems rely on interconnected pathways to deliver vital elements, whether it's the controlled movement of electrons or the orchestrated transport of oxygen and nutrients. This unique juxtaposition encourages you to appreciate the remarkable similarities between the inner workings of the human body and the intricacies of electronic circuits, inviting you to explore the captivating connections that exist between these seemingly distinct domains.
This product serves as an ideal study companion, a visual aid, or a captivating conversation piece. Whether you're a medical student, an electronics enthusiast, or simply someone with a passion for science, you're bound to appreciate this unique PCB card and the invaluable knowledge it imparts.
Immerse yourself in the convergence of human anatomy and electronics with our PCB card, offering a fascinating exploration of the interconnectedness between these two fields. Witness the wonders of the human heart and the intricate circuitry of the circulatory system, beautifully combined in this one-of-a-kind educational tool.
Blueprint of Life
Science in Your Pocket: Unveiling DNA's Structure, Small but Powerful!
This credit-card sized printed circuit board (PCB) features a gold-plated representation of the structure of DNA on one side, accompanied by the complementary DNA nucleotide bases that pair together to form a “rung of the DNA ladder". On the other side, behold a codon decoder wheel, unveiling the secrets of genetic code translation.
On the DNA structure side, immerse yourself in the captivating world of genetics as you explore the double helix architecture, highlighting the arrangement of nucleotides, base pairs, and the remarkable bonding that holds the genetic code together. Delve into the elegant simplicity of the fundamental building blocks of life.
Flipping the card to the other side reveals a codon decoder wheel, offering an interactive tool for deciphering the genetic code. Unravel the intricate language of DNA as you align the codons with their corresponding amino acids, unlocking the secrets of protein synthesis and the profound influence of genetics on life's diversity.
Immerse yourself in the convergence of molecular biology and electronics with our unique PCB art card, a remarkable fusion of knowledge and aesthetics. Appreciate the elegance of DNA's structure, decipher the genetic code, and explore the intricate relationship between genetics and life itself. Embrace the beauty of this educational tool and unlock the secrets of the blueprint of life.
Poker Hands
Keep an ace up your sleeve, always at hand in your wallet!
This beautifully designed printed circuit board (PCB) features an eye-catching ace of spades design on the front, and a comprehensive breakdown of poker hands on the back.
On the front of the card, the iconic ace of spades design serves as a striking and recognizable symbol of the game of poker.Flip the card over, and you'll discover a detailed breakdown of the possible poker hands, ranging from the highest-ranking hand (Royal Flush) to the lowest-ranking hand (High Card). This comprehensive guide provides a clear and concise reference for understanding the possible hands in poker, allowing you to make informed decisions during gameplay.
Constructed with high-quality materials and finished with a beautiful and durable gold coating, the Poker Hands Card is a reliable and long-lasting tool that fits snugly in your wallet, allowing you to quickly and easily access essential information whenever you need it. Order yours today and take your game to the next level!
Strength Tester
Train smarter, not harder.
Are you a fitness geek? A fitness professional?
Here is the perfect product for you. We've taken the lost art of nomography and combined it with the two most popular formulas for estimating one's 1 repetition maximum (1RM). The result is a unique calculator, no batteries needed, that you can easily carry wherever you train.
It's super easy and quick to perform the calculation, all you need is a straight line (included). Overlap this line (known as an isopleth) with reps performed, weight lifted and simply read your estimated 1RM%.
You have the option of using the Epley formula on one side or the Brzycki formula on the other side.
So why would you want to know your 1RM?
Besides being just curious about how much you can bench, knowing your 1RM can help you plan your training program and provide a measurement of progress, a useful tool for motivation.
For example many strength programs use your 1RM as base for the prescribed weights. Depending on your goals here's some example ranges of our 1RM you would typically train at.
For example many strength programs use your 1RM as base for the prescribed weights. Depending on your goals here's some example ranges of our 1RM you would typically train at.
- Strength: 80-90% 1RM, 1-5 reps, 4-7 sets
- Power: 70-90% 1RM, 1-5 reps, 3-5 sets
- Hypertrophy: 60-80% 1RM, 6-12 reps, 4-8 sets
- Endurance: 40-60% 1RM, 15-60reps, 2-4 sets
Estimating your 1RM provides a crucial advantage: injury prevention. Your 1RM represents the upper limit of your strength capacity, pushing beyond it may put you at risk of harm. By understanding your estimated 1RM, you can exercise caution and ensure a safe training experience.
If you want to train smarter, not harder and make progress on your goals, here's a smart and handy tool you can keep close by to help you get there! Whether you're a beginner or a seasoned weightlifter, here is an indispensable tool that makes calculating 1RM quick, easy, and accurate. Order yours today and take your training to the next level!
Card of Surprisal
"The P value was never meant to be used the way it’s used today" - Steven Goodman
Transform your statistical understanding with our unique P-to-S Value conversion card! Designed for researchers, statisticians, and data enthusiasts, this handy tool provides an easy-to-use conversion scale, enabling a swift transition from p-values to s-values (binary surprisals), thereby enhancing your interpretation of statistical outputs.
P-values are routinely misunderstood and misused by many practitioners. This problem is often described as a major contributor the replication crisis we are facing in science. Despite the scientific community knowing about this issue for decades, the problem still persists.
Fortunately Zad Rafi & Sander Greenland published an insightful review on several promising yet simple semantic and cognitive tools to aid statistical science. You can find the paper here. One of the suggestions is to teach an alternative way to view the p-value via information measures such as an S-value (surprisals).
S-values allows us to translate P-values into probabilities of outcomes in familiar games of chance. Here is the formula for turning a p-value into a binary s-value : s-value = − log2(p-value) where the logarithm is in base 2. The s-value is a measure of the amount of information the p-value supplies against the statistical hypothesis or model from which it was computed..
For example, a p-value of 0.05 turns into 4.32 bits of information against the test model. This is barely more surprising than getting all heads on 4 fair coin tosses. This puts into question the traditional cutoff of p=0.05 as being "statistically significant" as 4 tosses to study the fairness of a coin would not be considered strong evidence against fairness by most people.
Hopefully you see the utility of s-values now but how do you calculate them quickly and readily. With our conversion card (a simple nomogram), translating p-values has never been easier, just read where the s-value is at the same level as the p-value. It is the perfect companion for those delving into the intricate world of statistical analysis. It encourages a shift from traditional focus on 'significance' to viewing p-values as measures of 'compatibility'. By providing a readily accessible conversion tool, it supports the interpretation of p-values for alternative hypotheses in addition to null hypotheses, leading to a more comprehensive understanding of your data.
Drunk Mathematics
How drunk are you? 🍺
Explore the mathematics of getting drunk. Trick your drunk friends into solving maths! This unique card features a compound nomogram which solves Widmark's equation, developed by Swedish professor Erik Widmark in the 1920s:
Where
- A = mass of alchohol consumed (grams).
- r is the ratio of body water to total weight. It varies between individuals but averages about 0.68 for men and 0.55 for women.
- Wt is body weight (grams)
- β is the rate at which alcohol is metabolized. It is approximately 0.017% per hour.
- T is the amount time during which alcohol was present in the blood (usually time since consumption began).
On the front of the card, users can input the number of standard drinks they've consumed, their weight, and their sex to estimate their BAC level. Flip the card over, and you'll find the backside of the nomogram, where users can input the time since their first drink to calculate their estimated BAC level.This feature-rich diagram also includes ranges that correspond to the 7 stages of intoxication, providing a clear and concise reference for understanding the effects of alcohol consumption.
In addition, users also receive an additional laminated card that contains a nomogram for calculating standard drinks for different amounts of alcoholic drinks such as beer, wine and spirits. The card also provides conversion rates for standard drinks in different parts of the world, making it an invaluable tool for anyone traveling or studying abroad.
It's important to remember that this product is for entertainment and educational purposes only, and users should always drink responsibly.
Whether you're an alcohol aficionado or a mathematics enthusiast who enjoys a beer or two you're bound to appreciate this unique PCB nomogram 🍺!
Whether you're an alcohol aficionado or a mathematics enthusiast who enjoys a beer or two you're bound to appreciate this unique PCB nomogram 🍺!
Web Applications
Build and explore your own interactive data visualisations. Accessible through most platforms and devices.
BayesicModels
ReasonTunes
+3 more
PCB Art
Get your hands on unique pieces of PCB art which are educational and fun! Designed to be beautiful, long-lasting and useful.
Fagan Nomogram
Music Theory
+7 more