标题： 对数位置分区区间编码 显示英文标题

标题： Logarithmic Positional Partition Interval Encoding

摘要： 维护数字信息的一个要求是存储。随着数字世界最新进展，新出现的媒体类型需要比以前更多的存储空间。事实上，在许多情况下，为了跟上同时支持更多类型信息的协议，需要更大的存储量。相反，已经集成了压缩算法以促进更大数据的传输。数字表示被视为信息的体现。然而，这种正确的序列关联可以被反转来表示一长串数字。在这项工作中，介绍了一种新的数学范式，用于开发一种依赖于迭代对数变换的方法，并且该方法针对数字序列进行了精细调整。通过这种方法，进行了一系列多态数值操作的复杂互动。通过应用重复的对数运算，数据被压缩成一个微小的表示形式。该压缩方法大约超过了ZIP十三倍。这种通过迭代减少扩展整数直至它们表现为个位数实体而实现的极端压缩，赋予了信息体现的新意义。这种方法没有将数据局限于经典的离散编码，而是将其转化为准连续的对数形式。相比之下，这种引入的方法揭示了将数据变形为超越常规界限的深度压缩数值基质是可行的。从整体上看，验证了数字数据可以重新校准为转瞬即逝的对数印象序列。这不仅关乎减少数字，而且关乎通过坚定的数值视角重新解读数据。 显示英文摘要

摘要： One requirement of maintaining digital information is storage. With the latest advances in the digital world, new emerging media types have required even more storage space to be kept than before. In fact, in many cases it is required to have larger amounts of storage to keep up with protocols that support more types of information at the same time. In contrast, compression algorithms have been integrated to facilitate the transfer of larger data. Numerical representations are construed as embodiments of information. However, this correct association of a sequence could feasibly be inverted to signify an elongated series of numerals. In this work, a novel mathematical paradigm was introduced to engineer a methodology reliant on iterative logarithmic transformations, finely tuned to numeric sequences. Through this fledgling approach, an intricate interplay of polymorphic numeric manipulations was conducted. By applying repeated logarithmic operations, the data were condensed into a minuscule representation. Approximately thirteen times surpassed the compression method, ZIP. Such extreme compaction, achieved through iterative reduction of expansive integers until they manifested as single-digit entities, conferred a novel sense of informational embodiment. Instead of relegating data to classical discrete encodings, this method transformed them into a quasi-continuous, logarithmically. By contrast, this introduced approach revealed that morphing data into deeply compressed numerical substrata beyond conventional boundaries was feasible. A holistic perspective emerges, validating that numeric data can be recalibrated into ephemeral sequences of logarithmic impressions. It was not merely a matter of reducing digits, but of reinterpreting data through a resolute numeric vantage.