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Gompertz Constant Calculator

Free online gompertz constant calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.

中文版:Gompertz 常数在线计算器

Gompertz Constant Calculator
s(E₁ 积分下限;s = 1 时给出 Gompertz 常数)

Gompertz 常数 δ = −e·Ei(−1) = e·E₁(1) ≈ 0.596347362323194,出自 Gompertz 增长曲线(肿瘤生长、人口老龄化、产品渗透率的标准模型)的归一化分析,也是「随机斜率」类极值问题里 −e·Ei(−1) 的常客。

它出现在 Graham–Knuth–Patashnik《具体数学》的赠礼问题与 Ramanujan 的 Q 函数讨论中:对随机排列的极长递增子序列、随机映射的峰值分析,δ 都是那个收尾常数。

参考值

δ = 0.596347362323194(e·E₁(1)),1 − δ = 0.403652637676806

E₁(1) = 0.219383934395585,ln δ = −0.517180417072488

How to use the Gompertz Constant Calculator

  1. Fill in the inputs with your own numbers — every field shows what it expects.
  2. The result updates instantly as you type; no "Calculate" click needed.
  3. Read the result card for the main figure, the step-by-step formula, and practical notes.

Frequently asked questions

Is the Gompertz Constant Calculator free?

Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.

Is there a Chinese version of this tool?

Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.

References

Formulas and benchmarks used by this calculator follow these published sources.

  1. dlmf.nist.gov
  2. mathworld.wolfram.com
Kevin's profile

KevinContent LeadCalcton Editorial Team · Last updated 2026-09-27

Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.

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