To increase or deepen something according to a sequence/step-by-step
Eventually; gradually; slowly; deliberately
Neutral
我希望所有人都能循序渐进地减 | Wǒ xīwàng suǒyǒu rén dōu néng xúnxùjiànjìn de jiǎnféi
I hope that everyone is able to gradually lose weight
[Source]
没有必要一开始就迈一大步，循序渐进总比停滞不前要强 | Méiyǒu bìyào yī kāishǐ jiù mài yī dà bù, xúnxùjiànjìn zǒng bǐ tíngzhìbùqián yào qiáng
There's no need to start big. Taking tiny steps is better than not moving forward at all
[Source]
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This is an HSK chengyu
《论语集注》(Lún Yǔ Jì Zhù), a work by the Sòng Dynasty (宋, 960 - 1279) writer and founder of neo-Confucianism 朱熹 (Zhū Xī). The work consists of 朱熹's commentary on Confucius's famous work,《论语》(Lún Yǔ, or the Analects of Confucius)
There may be a story associated with this chengyu, but there are insufficient story sources to translate