Dump some knowledge you got i need to consume the information presented

The running sums of the odd natural numbers are the perfect squares.

1 + 3 + 5 + 7 + 9 + 11...
1 4 9 16 25 36...

Paphiopedilum rohmanii is the most recent Paphiopedilum discovery and it resembles Paphiopedilum fowleii even though they are from completely different places.

There's a new type of rock made from a combination of beach sand, igneous rock from lava flows and plastic that washes ashore. It was found in Hawaii. I think it's called a plastiglomerate or something.

If there exists a [math] k [/math] such that the formal system [math] \mathbf{T} [/math] proves [math] \varphi(S^n(0)) [/math] in [math] \leq k [/math] steps for each [math] k [/math], then [math] \mathbf{T} [/math] proves [math] \forall x\;\varphi(x) [/math].

What do you mean in =

Holy shit user, in English please.
Stupid people like me don't understand this gibberish

If a time series is stationary, it will have a steady state.

The steady state of the time series can be characterized as the limit of the value of the dependent variable (a function of time) as the time goes to infinity.

Thus any value not equal to the steady state can be thought of as a deviation from the steady state, and can be mathematically expressed as such.

Teopeмa Cэвичa (1970):

NSPACE(f(n)) ⊆ DSPACE(f2(n)).

To ecть, ecли нeдeтepминиpoвaннaя мaшинa Tьюpингa мoжeт peшить пpoблeмy иcпoльзyя f(n) пaмяти, тo дeтepминиpoвaннaя мaшинa Tьюpингa cмoжeт этo cдeлaть зa квaдpaт пaмяти.

It's a XOR logic gate nigga

Pink isn't real