[{"data":1,"prerenderedAt":121},["ShallowReactive",2],{"word-transitivity":3},{"source":4,"data":5,"quality_score":119,"lastmod":120},"static_word_details",{"lemma":6,"phonetic":7,"pos":9,"definition_zh":11,"usage_points":12,"collocations":34,"examples_basic":77,"examples_advanced":87,"common_mistakes":97,"synonyms_nuance":106,"diff_pairs":115,"word_family":118},"transitivity",{"us":8,"uk":8},",trænsi'tiviti",[10],"名词","传递性是一个数学和逻辑学概念，指如果A与B有某种关系，B与C也有这种关系，则A与C必然有这种关系。",[13,20,27],{"title":14,"content":15,"examples":16},"学术语境使用","transitivity主要用于数学、逻辑学、语言学等学术领域，描述关系的传递特性，在日常口语中较少使用。",[17,18,19],"transitivity in mathematics","transitivity of equality","transitivity in logic",{"title":21,"content":22,"examples":23},"介词搭配","常与介词of连用，表示某种关系的传递性；也可与in搭配，表示在特定领域中的传递性。",[24,25,26],"transitivity of the relation","transitivity in set theory","transitivity of preferences",{"title":28,"content":29,"examples":30},"句型结构","通常作为主语或宾语出现在学术讨论中，常与prove、demonstrate、establish等动词搭配。",[31,32,33],"prove the transitivity","demonstrate transitivity","establish transitivity",[35,43,51,59,66,72],{"type":36,"items":37},"verb",[38,39,40,41,42],"prove","demonstrate","establish","verify","check",{"type":44,"items":45},"adjective",[46,47,48,49,50],"mathematical","logical","formal","strict","complete",{"type":52,"items":53},"noun",[54,55,56,57,58],"property","relation","principle","condition","axiom",{"type":60,"items":61},"adverb",[62,63,64,65],"mathematically","logically","formally","strictly",{"type":67,"items":68},"preposition",[69,70,71],"of","in","for",{"type":73,"items":74},"phrase",[18,19,75,76],"transitivity property","law of transitivity",[78,81,84],{"en":79,"zh":80},"In our math class, we learned about the transitivity of equality: if A=B and B=C, then A=C.","在数学课上，我们学习了等式的传递性：如果A等于B，B等于C，那么A等于C。",{"en":82,"zh":83},"The concept of transitivity helps us understand logical relationships more clearly.","传递性的概念帮助我们更清晰地理解逻辑关系。",{"en":85,"zh":86},"When discussing preferences, economists often consider the transitivity of choices.","讨论偏好时，经济学家经常考虑选择的传递性。",[88,91,94],{"en":89,"zh":90},"In formal logic, the transitivity of implication is a fundamental property that must be verified in proof systems.","在形式逻辑中，蕴含关系的传递性是证明系统中必须验证的基本性质。",{"en":92,"zh":93},"The research paper examines the transitivity of social networks and its impact on information diffusion.","这篇研究论文探讨了社交网络的传递性及其对信息传播的影响。",{"en":95,"zh":96},"In database design, ensuring transitivity in functional dependencies is crucial for maintaining data integrity.","在数据库设计中，确保函数依赖的传递性对于维护数据完整性至关重要。",[98,102],{"wrong":99,"right":100,"explanation":101},"The transitivity for the relation is important.","The transitivity of the relation is important.","transitivity表示某种关系的特性时，应该用介词of而不是for，of表示所属关系。",{"wrong":103,"right":104,"explanation":105},"We need to consider about the transitivity.","We need to consider the transitivity.","consider是及物动词，直接接宾语，不需要加介词about，这是中文思维导致的错误。",[107,111],{"word":108,"difference":109,"example":110},"transitive","transitive是形容词，描述具有传递性质的关系或动词；transitivity是名词，指传递性这一抽象概念。","A transitive relation exhibits transitivity. (一个传递关系展现出传递性。)",{"word":112,"difference":113,"example":114},"transferability","transferability强调可转移、可传递的实用性能力；transitivity是数学逻辑概念，指关系的必然传递特性。","The transferability of skills is important for career development, unlike the mathematical transitivity of relations. (技能的转移性对职业发展很重要，这与关系的数学传递性不同。)",[108,116,117],"intransitivity","symmetry",[],70,"2026-01-09T02:06:33.034Z",1784307049960]