zyklisch
cyclic
Regularly recurring in a cycle or in a particular sequence.
EXAMPLE
Die Wirtschaft durchläuft zyklische Phasen von Aufschwung und Abschwung.
The economy goes through cyclical phases of growth and decline.
zyklisch
cyclic
zyklisch – zyklischer – am zyklischsten
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Meanings
zyklisch
cyclic
In chemistry: structured so that the atoms in the molecule form one or more rings.
EXAMPLE
Benzol ist eine zyklische Verbindung mit sechs Kohlenstoffatomen im Ring.
Benzene is a cyclic compound with six carbon atoms in the ring.
zyklisch
cyclic
In mathematics, for groups: able to be generated by a single element. All the elements of the group can be obtained by repeatedly applying the group operation to this element and its inverse.
EXAMPLE
Die Gruppe der ganzen Zahlen mit der Addition ist zyklisch, weil sie von der Zahl 1 erzeugt wird.
The group of integers under addition is cyclic because it is generated by the number 1.
Forms
Forms adapted from the German Wiktionary entry zyklisch, by Wiktionary contributors, licence CC BY-SA 4.0.
Comparison
| basic form | zyklisch |
|---|---|
| comparative | zyklischer |
| superlative | am zyklischsten |
After der, die, das
| masc. | fem. | neut. | plural | |
|---|---|---|---|---|
| nom. | -e | -e | -e | -en |
| acc. | -en | -e | -e | -en |
| dat. | -en | -en | -en | -en |
| gen. | -en | -en | -en | -en |
Add the ending to zyklisch.
After ein, eine
| masc. | fem. | neut. | plural | |
|---|---|---|---|---|
| nom. | -er | -e | -es | -en |
| acc. | -en | -e | -es | -en |
| dat. | -en | -en | -en | -en |
| gen. | -en | -en | -en | -en |
Add the ending to zyklisch.
Without article
| masc. | fem. | neut. | plural | |
|---|---|---|---|---|
| nom. | -er | -e | -es | -e |
| acc. | -en | -e | -es | -e |
| dat. | -em | -er | -em | -en |
| gen. | -en | -er | -en | -er |
Add the ending to zyklisch.
Usage tips
Word family
'Zyklisch' (cyclic) belongs to the word family of 'Zyklus' (cycle) and therefore often describes something conceived as a closed process or a recurring sequence. The ending '-isch' forms an adjective from a noun here.
EXAMPLE
Die zyklische Struktur des Festes ist an den wiederkehrenden Ritualen erkennbar.
The cyclical structure of the festival can be recognized in its recurring rituals.
Typical collocations
In this meaning, 'zyklisch' (cyclic) often occurs with words such as 'Schwankungen' (fluctuations), 'Prozesse' (processes), 'Entwicklung' (development), or 'Arbeitslosigkeit' (unemployment). It particularly often describes changes that recur after a certain period of time.
EXAMPLE
Die zyklischen Schwankungen der Nachfrage erschweren die langfristige Planung.
The cyclical fluctuations in demand make long-term planning more difficult.
Chemical context
In chemical texts, 'zyklisch' (cyclic) often appears directly before technical terms such as 'Verbindung' (compound), 'Molekül' (molecule), or 'Kohlenwasserstoff' (hydrocarbon). It refers there to a structure with a closed arrangement of atoms.
EXAMPLE
Die Forschenden untersuchten einen zyklischen Kohlenwasserstoff mit zwei Ringen.
The researchers examined a cyclic hydrocarbon with two rings.
Mathematical collocations
In group theory, 'zyklisch' (cyclic) is especially common in the expressions 'zyklische Gruppe' (cyclic group) and 'zyklische Untergruppe' (cyclic subgroup). The verb 'erzeugen' (to generate) is often used with it: An element generates a cyclic group.
EXAMPLE
Die Zahl 2 erzeugt in dieser Gruppe eine zyklische Untergruppe.
The number 2 generates a cyclic subgroup in this group.
In real life
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