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stochastics both right and true

dembow, старая запись

igor1908·3:03

Lyrics

song about stokastic development, named Stokastic Chains

hook

No past to haunt, just states align,

In probability's dance, the future's thine

Intro

In realms where chance and order meet,

A stokastic dance unfolds so neat

Markov chains, with logic pure and deep,

Turn random fog to paths we keep

verse Main Theme

The memoryless law, both stark and true

Future springs from present, clean and new

No ghost of past on tomorrow's wing,

Forget the history—each step's a spring!

Chorus

Markov chains, oh stokastic tide!

From now to next, let patterns guide.

No past to haunt, just states align,

In probability's dance, the future's thine!

Chorus

Markov chains, oh stokastic tide!

From now to next, let patterns guide.

No past to haunt, just states align,

In probability's dance, the future's thine!

verse Development

Through matrices of probability,

We chart from state to state, night to day.

Rows sum to one, precise and kind,

Stationary dream where states converge in time—

Equilibrium stands, no drift, no trend,

Long-run frequencies softly blend.

Chorus

Markov chains, oh stokastic tide!

From now to next, let patterns guide.

No past to haunt, just states align,

In probability's dance, the future's thine!

verse Spinoff

In markets wild where traders gamble,

Markov cuts through ramble and scramble:

Credit shifts, stock leaps in bull and bear,

Transition rates assess risk everywhere—

Default or gain, the states define,

Stokastic paths in finance shine.

Chorus

Markov chains, oh stokastic tide!

From now to next, let patterns guide.

No past to haunt, just states align,

In probability's dance, the future's thine!

Break

Pause in the chain, let randomness breathe,

Patterns emerge from chaos beneath—

A clean slate calls, with every roll of dice,

Probabilities whisper paradise.

Chorus

Markov chains, oh stokastic tide!

From now to next, let patterns guide.

No past to haunt, just states align,

In probability's dance, the future's thine!

Last Verse

From queuing lines to molecules' dance,

Reinforcement learning's heady chance—

In physics, bio, code so vast and wide,

Markov turns the fog to guide inside.

[Outro, fading voices

Discrete or continuous, hidden or clear,

Stokastics make the random near—

In every system, chance-bound and grand,

They chain the future in understanding's hand.

last chorus

Markov chains, oh stokastic tide!

From now to next, let patterns guide.

No past to haunt, just states align,

In probability's dance, the future's thine!

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