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−𝐹 生成负斐波那契数Generate NegaFibonacci Numbers

生成负下标斐波那契数:F_{-n}=(-1)^{n+1} F_n。可设个数与起始负下标,本地处理。Generate negative-index Fibonacci numbers: F_{-n}=(-1)^{n+1} F_n. Set count and start index. Processed locally.

使用说明与常见问题How-to & FAQ

「生成负斐波那契数」是什么?What is the Generate NegaFibonacci Numbers tool?

生成负下标斐波那契数:F_{-n}=(-1)^{n+1} F_n。可设个数与起始负下标,本地处理。Generate negative-index Fibonacci numbers: F_{-n}=(-1)^{n+1} F_n. Set count and start index. Processed locally.

如何使用「生成负斐波那契数」?How do I use the Generate NegaFibonacci Numbers tool?

在「生成负斐波那契数」中,按需设置「项数」、「起点下标(负)」,结果会实时显示在下方,点击「复制结果」即可复制。In the Generate NegaFibonacci Numbers: Adjust "Terms", "Start index (negative)"; the result appears below instantly — click "Copy result" to copy it.

负下标的斐波那契数正负号怎么定?How is the sign of negative-index Fibonacci numbers decided?

F_{-n}=(-1)^{n+1} F_n,例如 F_{-1}=1,F_{-2}=-1。F_{-n}=(-1)^{n+1} F_n, e.g. F_{-1}=1, F_{-2}=-1.

输入和输出是什么样的?What does the input and output look like?

例如在「生成负斐波那契数」中把「项数」设为 4,「起点下标(负)」设为 -1,输出为:1 ⏎ -1 ⏎ 2 ⏎ -3(⏎ 表示换行)。For example, in the Generate NegaFibonacci Numbers with "Terms" set to 4, "Start index (negative)" set to -1, the output is: 1 ⏎ -1 ⏎ 2 ⏎ -3 (⏎ marks a line break).

有哪些选项可以调整?What options can I adjust?

「生成负斐波那契数」的设置:「项数」默认 15;「起点下标(负)」默认 -1。每次生成结果都按当前设置处理。Settings in the Generate NegaFibonacci Numbers — "Terms" default 15; "Start index (negative)" default -1. The result always uses the current settings.

计算精度如何?How precise are the results?

「生成负斐波那契数」中的整数都用大整数(BigInt)精确计算,不经过浮点,所以再长的项也不会丢失位数;输入超出页面说明的范围时会给出提示,而不是悄悄截断。Integers in the Generate NegaFibonacci Numbers are computed exactly with big integers (BigInt), with no floating-point step, so even very long terms keep every digit; values outside the stated ranges give a message instead of being silently cut off.

「生成负斐波那契数」免费吗?需要注册吗?Is the Generate NegaFibonacci Numbers free? Do I need an account?

「生成负斐波那契数」完全免费,无需注册或安装,打开网页即可使用,手机和电脑都能用;输入的内容只在你的浏览器本地处理。The Generate NegaFibonacci Numbers is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.

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