
systematisch
systematically
In a planned, orderly, and methodical way that follows a fixed system or plan.
Die Polizei ging bei den Ermittlungen sehr systematisch vor.
The police proceeded very systematically in the investigation.
systematic
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systematically
In a planned, orderly, and methodical way that follows a fixed system or plan.
Die Polizei ging bei den Ermittlungen sehr systematisch vor.
The police proceeded very systematically in the investigation.

systematic
Relating to or belonging to a specific scientific or classification system.
Die systematische Einordnung der Pflanze in die Familie der Rosengewächse war korrekt.
The systematic classification of the plant into the rose family was correct.
'Systematisch' (systematic/systematically) is derived from the noun 'das System' (the system). It describes something that follows the logic of a system, meaning it is orderly and planned.
Für eine effiziente Arbeitsweise braucht man ein gutes System.
For an efficient way of working, you need a good system.
'Systematisch' (systematic/systematically) can describe an action as an adverb (How is something done?) or stand before a noun as an adjective and describe it.
Sie hat ihr Zimmer systematisch aufgeräumt.
She tidied her room systematically.
In its general meaning, 'systematisch' (systematically) is often used with verbs of investigating or organizing, for example 'systematisch vorgehen' (to proceed systematically), 'systematisch suchen' (to search systematically), or 'systematisch analysieren' (to analyze systematically).
Die Detektive durchsuchten das Haus systematisch nach Spuren.
The detectives searched the house systematically for clues.
The general meaning is 'planmäßig' (according to plan/systematic). In scientific texts, e.g. in biology or linguistics, 'systematisch' (systematic) can also mean that something belongs to a classification system.
Er hat seine Briefmarkensammlung systematisch geordnet.
He organized his stamp collection systematically.
regular
regelmäßig describes a representation with a uniform or repeated pattern. systematisch, on the other hand, emphasizes that the representation was deliberately organized according to a method or a fixed system of order. A systematic arrangement therefore does not have to look uniform.

Die Punkte sind systematisch nach ihren Themen auf der Seite angeordnet.
The dots are arranged systematically on the page according to their topics.
Die Punkte sind in regelmäßigen Reihen auf der Seite angeordnet.
The dots are arranged in regular rows on the page.