Mathvsmyth
Equations and elements with origin.
24 pilot entries: 12 from mathematics and 12 from the periodic table. Each card carries the formula, one line of context and —the essential part— who created or discovered it, when, and in which source. The data are public facts; the wording is ours.
24 seeds
Seed origin: compiled by the Mathvsmyth team on September 24, 2026. Equations, symbols, atomic numbers, weights, names and dates are public facts with no copyright; the wording is Mathvsmyth.com's own. Free to use with attribution. If you spot an error, the community corrects it with evidence.
Mathematics · 12 equations
Quadratic formula
x = (−b ± √(b²−4ac)) / 2a
Solves any quadratic equation ax²+bx+c=0. The discriminant b²−4ac tells how many real solutions exist.
Euler's identity
e^(iπ) + 1 = 0
Joins five fundamental constants (e, i, π, 1, 0) in a single equality.
Fundamental theorem of calculus
∫ₐᵇ f′(x)dx = f(b) − f(a)
Differentiation and integration are inverse operations: the area under a curve comes from its antiderivative.
Bayes' theorem
P(A|B) = P(B|A)·P(A) / P(B)
Updates the probability of a hypothesis when new evidence arrives.
Fermat's Last Theorem
xⁿ + yⁿ = zⁿ sin soluciones enteras para n > 2
Stated in 1637, it stood 358 years until Wiles's proof.
Mass–energy equivalence
E = mc²
Mass is concentrated energy: c² is the conversion factor.
Fibonacci sequence
F(n) = F(n−1) + F(n−2); 1, 1, 2, 3, 5, 8…
Each term is the sum of the two before it; it appears in nature and art.
Zero as a number
0
First treatment of zero as a number with operation rules (addition, subtraction, and the problem of dividing by zero).
Infinitude of primes
Hay infinitos números primos
There are infinitely many primes: Euclid's proof by contradiction still stands.
Gödel's incompleteness theorems
Todo sistema consistente contiene verdades indemostrables
Every consistent mathematical system contains true statements it cannot prove.
Non-Euclidean geometry
Por un punto exterior a una recta pasan infinitas paralelas
Denying the parallel postulate opens consistent geometries: the mathematical basis of relativity.
The imaginary unit
i² = −1
Cardano's 'impossible numbers' become workable: the complex numbers are born.
Periodic table · 12 elements
Hydrogen
H · Z 1 · 1.008 u
The lightest, most abundant element in the universe; its fusion powers the stars.
Helium
He · Z 2 · 4.0026 u
First seen in sunlight before being found on Earth.
Lithium
Li · Z 3 · 6.94 u
The lightest metal; key in rechargeable batteries today.
Carbon
C · Z 6 · 12.011 u
The basis of the chemistry of life: diamond and graphite are the same element.
Oxygen
O · Z 8 · 15.999 u
What we breathe: ~21% of air; discovered twice in the same year.
Sodium
Na · Z 11 · 22.990 u
Soft metal that burns in water; with chlorine it forms table salt.
Silicon
Si · Z 14 · 28.085 u
The heart of chips: second most abundant element in Earth's crust.
Chlorine
Cl · Z 17 · 35.45 u
Greenish gas used to make water drinkable; with sodium it forms table salt.
Iron
Fe · Z 26 · 55.845 u
The metal of civilization: also in your blood (hemoglobin) and in Earth's core.
Silver
Ag · Z 47 · 107.87 u
The best electrical conductor of all metals; money for millennia.
Gold
Au · Z 79 · 196.97 u
It never rusts or corrodes: that's why 6,000-year-old treasures still shine.
Uranium
U · Z 92 · 238.03 u
The heaviest natural element; its fission opened the nuclear age.