In 1877, Boltzmann visualized a probabilistic way to measure the entropy of an ensemble of ideal gas particles, in which he defined entropy as proportional to the natural logarithm of the …

1. 熵 (Entropy) 1.1 混乱程度，不确定性，还是信息量? 不同的人对熵有不同的解释：混乱程度，不确定性，惊奇程度，不可预测性，信息量等等，面对如此多的解释，第一次接触时难免困惑。 …

Focusing on the Tsallis, Kaniadakis, Sharma–Taneja–Mittal, and Kaniadakis–Lissia–Scarfone entropy families, we show that each entropy induces a distinct Riemannian metric on the …

熵（Entropy；Entropie）起初是一个热力学函数，后发展为系统混乱程度的量度，是一个描述系统热力学状态的函数。

2. Entropy is just a measure of how disorderly things are. And it tends to grow. 熵 是 对 无序 程度 的 一个 度量， 而且 熵 往往 是 增加 的。

The topological entropy (see [1]) is a well-known quantitative measure of the dynamical complexity of a model.

Nov 7, 2025 · Entropy, the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work. Because work is obtained from ordered molecular motion, …

因此，我們可以給出如下關於熵的定義，這個定義的熵 (entropy)，又稱為 shannon 熵。 定義1-2： 由式 定義的數， 稱為對應於樣本空間 的熵。 在本節之初，我們已知旋轉光滑硬幣時，正面朝 …

In general, however, when ice melts, the entropy of the two adjoined systems, i.e. the adjacent hot and cold bodies, when thought of as one "universe", increases.

Entropy is seen when the ice in a glass of water in a warm room melts—that is, as the temperature of everything in the room evens out. In a slightly different type of entropy, a drop …