mathematical / on paper
Loading your saved state.
mathematical
Based on a calculation or determined by calculating.
Rechnerisch ist das Ergebnis korrekt, aber es scheint in der Praxis nicht umsetzbar zu sein.
Mathematically, the result is correct, but it does not seem feasible in practice.
The adjective 'rechnerisch' (mathematical / computational) is derived directly from the verb 'rechnen' (to calculate). It describes anything that has to do with calculations or is based on them.
Der Computer hat einen rechnerischen Fehler gemacht.
The computer made a calculation error.
'Rechnerisch' (mathematically / on paper) is very often used as an adverb at the beginning of a sentence to introduce a statement. In this position, it stands in position 1, followed by the verb.
Rechnerisch ergibt die Formel den richtigen Wert.
Mathematically, the formula gives the correct value.
As an adjective before a noun, 'rechnerisch' (mathematical / computational) is often combined with words like 'Fehler' (error), 'Vorteil' (advantage), 'Aufwand' (effort), or 'Nachweis' (proof).
Der rechnerische Aufwand für diese Simulation ist enorm.
The computational effort for this simulation is enormous.
In the second meaning, a contrast between theory and practice is often expressed. A typical pattern is: 'Rechnerisch ..., aber ...' (On paper ..., but ...).
Rechnerisch ist der Sieg noch möglich, aber die Mannschaft spielt zu schlecht.
On paper, victory is still possible, but the team is playing too badly.
indeed / actual
'tatsächlich' and 'rechnerisch' often stand in contrast between reality and calculation. 'tatsächlich' says that something really happens that way or really is that way. 'rechnerisch' says that something follows from numbers or a calculation. In practice, it does not necessarily happen exactly that way. The words can be confused when numbers seem very convincing. But a mathematical possibility is not yet an actual reality. 'tatsächlich' fits the real result, while 'rechnerisch' fits the result on paper.
Rechnerisch reicht das Geld bis Freitag, aber wir müssen noch einkaufen.
On paper, the money will last until Friday, but we still need to go shopping.
Tatsächlich kamen nur zwanzig Gäste, obwohl fünfzig eingeladen waren.
In fact, only twenty guests came, although fifty had been invited.