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手数をかけさせてすみません。
Sorry for putting you through so much trouble.
trouble or inconvenience caused to someone else
この件で手数をおかけします。
I apologize for the trouble this may cause.
手数ですが、よろしくお願いします。
Sorry for the inconvenience, but please take care of this.
Often used in polite requests or apologies when asking someone to do something that requires effort.
number of steps or operations required to complete a task
このアルゴリズムは手数が少ないため高速です。
This algorithm is fast because it requires fewer steps.
Common in computing contexts, especially when discussing computational complexity.
When using 手数をかける, it's common to add 故 (ゆえ) or ですが to soften the request further, e.g., 手数をおかけしますが.
手数 primarily means 'trouble' in social contexts but can mean 'number of steps' in technical contexts. Always check the context to determine the intended meaning.
The word combines 手 (て, 'hand') and 数 (すう, 'number/count'), implying 'the number of steps or actions required.' The sense of 'trouble' derives from the idea that more steps mean more effort for someone else.
手数 is often used in polite expressions to acknowledge that a request may inconvenience someone. It can also refer to the efficiency of a process in technical contexts.