accuracy

When chemists calculate the behavior of molecules on a computer, they use approximate methods because exact calculations are too complex. For light atoms, there are well-established benchmarks, but for heavy atoms, where relativistic effects matter, such benchmarks did not exist. It's like checking a ruler against another ruler rather than against a standard meter.

In quantum theory, a particle can run along two paths at once. When measured, we catch it on just one. According to Niels Bohr, all other possibilities vanish instantly — like a branch snapped off a trunk. Yet Hugh Everett insisted: the tree of reality grows all its branches at once, and we only see the one we’re on.

A coin toss seems random, but in reality, physics decides everything: the force of the throw, air resistance, the surface's elasticity. If you knew all the details, you could predict the outcome. True randomness lives deeper — in the quantum world.

Two twins look identical, but one is left-handed and the other right-handed. In the world of elementary particles, there are similar pairs: Ξ- and its antiparticle Ξ+. They are born together in the decay of the J/ψ particle and, like entangled twins, maintain a connection even at a distance.

A team assembling a jigsaw puzzle from random pieces: how many simultaneous moves does it take to complete the picture? If the pieces are independent, they all go down at once. If each piece depends on the previous one, you have to work one at a time. So it is with systems: some states assemble instantly, others require a long sequential effort.

Fog thickens over the line "def max(a: Int, b: Int): Int". What does it do? It returns the larger of two numbers, but how can you verify that? You could write a dozen tests with specific pairs: max(2,3)=3, max(5,5)=5, max(-1,0)=0. Still, a nagging doubt remains: what if it breaks for, say, a million and minus a million?