以下为句子列表：
英文: Berman warrant you love dandle ideal body nutritional requirements custom-made product to supply extra alimentation equired tonicity skeleton cum muscle ingredient with. 中文: 伯曼根据您爱宠理想体态的身体营养需求定做的产品，提供额外营养所需强壮骨骼及肌肉成分。产品未使用高灰质成分，使产品变得美味而又不影响宠物消化健康。 更详细...
英文: Berman warrant you love dandle ideal body nutritional requirements custom-made product to supply extra alimentation required tonicity skeleton cum muscle ingredient with. 中文: 伯曼根据您爱宠理想体态的身体营养需求定做的产品，提供额外营养所需强壮骨骼及肌肉成分。产品未使用高灰质成分，使产品变得美味而又不影响宠物消化健康. 更详细...
英文: By the comparison theorem, a series of properties of the backward-forward differential utility process is gotten, such as time consistence, mono tonicity with respect to the terminal value, mono tonicity with respect to the consumption and concavity. 中文: 运用比较定理，还证明了正倒向随机微分效用过程的时间一致性、终值单调性、消费单调性和凹性等有关性质。 更详细...
英文: In the higher mathematics category, routine methods to work out the proof of an inequation are a flexible use of mathematical knowledge like mono tonicity of functions, extremum values, maximum and minimum values, convexity function, medium value theorem, 中文: 摘要在高等数学範畴中，灵活运用函数的单调性、极值、最值、凸性函数、以及中值定理与泰勒公式、赫尔德不等式、施瓦兹不等式等数学知识，对不等式问题进行分析、构造与转化，是解决不等式的证明问题的常用方法。 更详细...
英文: In this paper, some new concepts are introduced for functional mono tonicity and co-coerciveness of set-valued mappings, and variously possible implication relationships are studied among known and new concepts. 中文: 摘要本文介绍几个新的集值映射的函数单调性和馀强制性概念，并讨论它们与已有概念间各种可能的蕴含关系。 更详细...
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