公式 in 30 Seconds
- A formula is a symbolic rule, mainly in math/science.
- It can also mean a standard procedure or set of rules.
- Used in academic, technical, and business contexts.
- Distinguish from equation (方程) and theorem (定理).
Understanding the Word '公式' (gōngshì)
- Literal Meaning
- The characters '公' (gōng) mean 'public' or 'common', and '式' (shì) means 'style', 'form', or 'ceremony'. Together, '公式' refers to a standard or commonly accepted form, especially one used in formal contexts.
- Primary Usage: Mathematics and Science
- The most frequent and universally understood meaning of '公式' is 'formula' in the context of mathematics, physics, chemistry, and other sciences. It represents a concise way to express a relationship between quantities using symbols, numbers, and operators. For example, the formula for the area of a circle is πr².
- Broader Applications: Rules, Regulations, and Standard Procedures
- Beyond academic fields, '公式' can also refer to a standard procedure, a set of rules, or a generally accepted format for doing something. This might include diplomatic protocols, official regulations, or even established ways of writing certain types of documents. In these cases, it implies a predetermined and widely recognized method or structure.
- Examples in Context
- In a physics class, a teacher might say, '请记住这个能量守恒的公式' (Qǐng jìzhù zhège néngliàng shǒuhéng de gōngshì) – 'Please remember this formula for conservation of energy.' In a business meeting, someone might discuss '公司的新销售公式' (Gōngsī de xīn xiāoshòu gōngshì) – 'The company's new sales formula,' implying a new strategy or set of steps to achieve sales targets.
学习物理需要掌握大量的公式。
这张图展示了计算三角形面积的公式。
制定合理的定价公式对企业至关重要。
Constructing Sentences with '公式' (gōngshì)
Using '公式' correctly involves understanding its primary meanings and grammatical function as a noun. Here are various ways to incorporate it into your Chinese sentences, covering both its mathematical and broader applications.
- Basic Sentence Structures
- '公式' often appears as the object of verbs like '学习' (xuéxí - to learn), '记住' (jìzhù - to remember), '理解' (lǐjiě - to understand), '应用' (yìngyòng - to apply), '推导' (tuīdǎo - to derive), '写出' (xiěchū - to write out), or '知道' (zhīdào - to know).
- Describing Mathematical or Scientific Formulas
- When referring to specific formulas, you can use measure words like '个' (gè) or simply state the formula's name. You can also describe its properties, such as being '复杂' (fùzá - complex) or '简单' (jiǎndān - simple).
- Using '公式' for Rules and Procedures
- In this context, '公式' can be modified by adjectives like '标准' (biāozhǔn - standard), '通用' (tōngyòng - universal), or '固定' (gùdìng - fixed). It can also be part of phrases like '操作公式' (cāozuò gōngshì - operating procedure) or '沟通公式' (gōutōng gōngshì - communication formula).
- Common Sentence Patterns
- Subject + Verb + (Object) + 公式: e.g., 我需要记住这个公式 (Wǒ xūyào jìzhù zhège gōngshì) - I need to remember this formula.
- [Modifier] + 公式: e.g., 物理学的基本公式 (Wùxué de jīběn gōngshì) - Basic formulas of physics.
- 关于/关于...的 公式: e.g., 关于圆的面积的公式 (Guānyú yuán de miànjī de gōngshì) - The formula for the area of a circle.
- 在...中，公式...: e.g., 在这个计算中，公式是关键 (Zài zhège jìsuàn zhōng, gōngshì shì guānjiàn) - In this calculation, the formula is key.
学生们正在努力理解这个复杂的数学公式。
我们需要制定一个标准的沟通公式来提高团队效率。
这本教科书包含了所有高中物理的基本公式。
Real-World Occurrences of '公式' (gōngshì)
The word '公式' is commonly encountered in various settings, reflecting its dual meaning of mathematical formulas and established procedures. Understanding these contexts will help you grasp its practical usage.
- Academic Environments
- This is the most frequent place you'll hear '公式'. Teachers, professors, and students constantly use it when discussing subjects like mathematics, physics, chemistry, engineering, economics, and computer science. Lectures, textbooks, homework assignments, and exams are all filled with references to '公式'.
- Scientific and Technical Discussions
- Beyond the classroom, '公式' is used in research papers, scientific journals, technical manuals, and professional meetings. Scientists and engineers rely on formulas to describe phenomena, design systems, and analyze data. You might hear someone say, '我们需要根据这个公式来计算材料的强度' (Wǒmen xūyào gēnjù zhège gōngshì lái jìsuàn cáiliào de qiángdù) – 'We need to calculate the material's strength based on this formula.'
- Business and Finance
- In business contexts, '公式' can refer to financial models, pricing strategies, or performance metrics. For instance, a manager might talk about developing a '利润公式' (lìrùn gōngshì) – 'profit formula' – to standardize how profits are calculated or increased. Marketing teams might discuss a '客户获取公式' (kèhù huòqǔ gōngshì) – 'customer acquisition formula' – referring to their strategy.
- Everyday Life and Hobbies
- Even in non-technical settings, people might use '公式' metaphorically. For example, someone might refer to a '爱情公式' (àiqíng gōngshì) – 'love formula' – jokingly, implying a set of steps to find love. Or, a chef might talk about their secret recipe as a '烹饪公式' (pēngrèn gōngshì) – 'cooking formula'.
- Formal and Official Settings
- In government or legal contexts, '公式' can refer to standardized procedures or official templates. For example, a government announcement might outline the '申请公式' (shēnqǐng gōngshì) – 'application formula' – meaning the required format or steps for submitting an application.
教授在讲座中详细讲解了牛顿第二运动定律的公式。
市场部正在研究如何优化客户满意度公式。
我的奶奶有一个制作美味饺子的秘制公式。
Avoiding Pitfalls with '公式' (gōngshì)
While '公式' is a versatile word, learners sometimes make mistakes in its usage. Being aware of these common errors can significantly improve your accuracy.
- Confusing with Specific Terms
- Mistake: Using '公式' when a more specific term is appropriate. For example, referring to a simple calculation as a '公式' when it's just a basic arithmetic operation. Or, using '公式' for a very general rule that isn't expressed in symbolic form.
- Correction: While '公式' can be broad, it often implies a structured, symbolic representation or a codified procedure. For simple arithmetic, you might just say '计算' (jìsuàn - calculation). For a general rule, '规则' (guīzé - rule) or '原则' (yuánzé - principle) might be better.
- Overuse in Casual Conversation
- Mistake: Applying '公式' too liberally in everyday, informal conversations where it sounds unnatural or overly technical. For instance, calling a simple preference or habit a '公式'.
- Correction: In casual chat, use simpler terms. Instead of '我的快乐公式是...' (Wǒ de kuàilè gōngshì shì...), you might say '我开心是因为...' (Wǒ kāixīn shì yīnwèi...) – 'I'm happy because...' Reserve '公式' for situations where there's a clear, defined structure or symbolic representation.
- Incorrect Grammatical Structure
- Mistake: Misplacing '公式' within a sentence or using incorrect particles. For example, saying '数学公式我学' (Shùxué gōngshì wǒ xué) instead of '我学习数学公式' (Wǒ xuéxí shùxué gōngshì).
- Correction: '公式' typically functions as a noun and follows standard sentence patterns. It's often the object of a verb (e.g., '记住公式' - remember the formula) or part of a noun phrase (e.g., '这个公式' - this formula).
- Applying the Broader Meaning Too Soon
- Mistake: Learners who are new to the word might only associate it with mathematics and struggle to apply its broader meaning of 'standard procedure' or 'set of rules'.
- Correction: Practice using '公式' in contexts like '沟通公式' (gōutōng gōngshì) or '操作公式' (cāozuò gōngshì). Recognize that it signifies a defined, repeatable method or structure, much like a mathematical formula provides a defined way to calculate something.
错误用法：我有一个吃东西的公式。
正确用法：我有一个吃东西的习惯。
正确用法：这个计算需要一个特定的公式。
Exploring Synonyms and Related Terms for '公式' (gōngshì)
While '公式' is a primary term for 'formula' and 'standard procedure', several other Chinese words share related meanings or offer nuances. Understanding these distinctions will enrich your vocabulary.
- Key Distinction: Mathematical vs. Procedural
- '公式' most strongly implies a symbolic, often mathematical or scientific, representation. When used for procedures, it suggests a very formalized, almost algorithmic, way of doing things.
- Alternatives for Mathematical Concepts
- - 方程 (fāngchéng): Equation. An equation states that two expressions are equal, often containing variables. A formula can be an equation, but not all equations are formulas (e.g., x + y = 5 is an equation, but not necessarily a general formula without context).
- Example: 方程 x + 2 = 5 的解是 x = 3。
- Example: 勾股定理是一个重要的几何公式。 - - 定理 (dìnglǐ): Theorem. A statement or proposition that has been proved to be true, often a fundamental principle. A formula can sometimes be derived from or express a theorem.
- Example: 欧几里得几何中的许多定理都非常著名。
- Example: 费马小定理的一个特例是欧拉定理。 - Alternatives for Rules and Procedures
- - 规则 (guīzé): Rule. A general principle or instruction that governs conduct or procedure. Less formal and less symbolic than '公式'.
- Example: 游戏有明确的规则。
- Example: 遵守交通规则非常重要。 - - 规定 (guīdìng): Regulation, stipulation. Often refers to official rules or laws set by an authority. More formal than '规则'.
- Example: 公司对员工着装有严格的规定。
- Example: 这项新政策包含许多新的规定。 - - 方法 (fāngfǎ): Method, way. A general term for a way of doing something. Broader and less structured than '公式'.
- Example: 有很多方法可以解决这个问题。
- Example: 他找到了一种更有效的学习方法。 - - 模式 (móshì): Pattern, model. Can refer to a recurring style or a template. Sometimes used metaphorically for a standard way of behaving or operating.
- Example: 这种销售模式在市场上很受欢迎。
- Example: 我们可以从这个成功的模式中学习。
物理中的公式和数学中的方程是相关的，但含义不同。
公司有关于加班的明确规定，而不是一个公式。
How Formal Is It?
Fun Fact
The adoption of '公式' as the translation for 'formula' reflects the influence of Western scientific and mathematical terminology on modern Chinese. Before this, similar concepts might have been described using more descriptive phrases or classical Chinese terms.
Pronunciation Guide
- Mispronouncing the vowel sounds, particularly the 'o' and 'u'.
- Incorrect stress placement, placing it on the second syllable.
- Adding or omitting sounds, especially in the unstressed final syllable.
Difficulty Rating
CEFR B1 level. The word itself is straightforward, but understanding its application in various contexts, especially metaphorical or abstract ones, requires more advanced comprehension.
What to Learn Next
Prerequisites
Learn Next
Advanced
Grammar to Know
使用 '的' (de) 来连接修饰语和名词 '公式'
这是一个数学公式。
那个复杂的公式很难。
动词 + 公式
我需要记住这个公式。
老师教我们应用这个公式。
关于...的 公式
这是关于圆的面积的公式。
量词 '个' (gè) 与 公式
这个个公式很重要。
老师写了三个公式在黑板上。
在...中，公式...
在这个计算中，公式是关键。
Examples by Level
这是数学公式。
This is a math formula.
Basic noun usage.
我学公式。
I am learning formulas.
Verb + noun structure.
这个公式很简单。
This formula is very simple.
Adjective modifying the noun.
请记住这个公式。
Please remember this formula.
Imperative sentence structure.
物理有公式。
Physics has formulas.
Subject + verb + noun.
我不知道这个公式。
I don't know this formula.
Negation with '不知道'.
这是一个公式。
This is a formula.
Simple declarative sentence.
我喜欢这个公式。
I like this formula.
Verb '喜欢' with noun.
这个物理公式有点难。
This physics formula is a bit difficult.
Adjective phrase modifying the noun.
老师教我们新的公式。
The teacher teaches us new formulas.
Subject + verb + object structure.
请写出计算面积的公式。
Please write out the formula for calculating area.
Verb + object phrase.
我需要理解这个数学公式。
I need to understand this math formula.
Modal verb + verb + object.
这是我们化学课的公式。
This is the formula from our chemistry class.
Possessive structure (的).
你记得那个公式吗？
Do you remember that formula?
Question formation with 吗.
我们用公式来解决问题。
We use formulas to solve problems.
Using a tool/concept to achieve something.
这个公式非常有用。
This formula is very useful.
Adjective describing the noun.
科学家们在实验室里推导出一个新的物理公式。
Scientists derived a new physics formula in the laboratory.
'推导' (derive) used with '公式'.
掌握这些基本的数学公式是学好代数的前提。
Mastering these basic mathematical formulas is a prerequisite for learning algebra well.
'掌握' (master) and '前提' (prerequisite) with '公式'.
请解释一下这个经济学公式的含义。
Please explain the meaning of this economics formula.
'解释' (explain) and '含义' (meaning) with '公式'.
我们公司正在开发一个用于客户服务优化的标准流程公式。
Our company is developing a standard process formula for customer service optimization.
Broader usage: '标准流程公式' (standard process formula).
这个复杂的化学公式需要精确的计算才能得到正确结果。
This complex chemical formula requires precise calculations to obtain the correct result.
Adjectives like '复杂' (complex) and '精确' (precise) modifying '公式'.
他声称找到了解决这个问题的万能公式，但我们持怀疑态度。
He claimed to have found a universal formula for solving this problem, but we are skeptical.
Metaphorical usage: '万能公式' (universal formula).
在编程中，函数可以被看作是一种计算的公式。
In programming, functions can be seen as a type of computational formula.
Analogy: '计算的公式' (computational formula).
理解并应用这些公式是掌握这门学科的关键。
Understanding and applying these formulas is key to mastering this subject.
Parallel verbs ('理解', '应用') with '公式'.
该研究论文详细阐述了用于预测天气变化的复杂数学公式。
The research paper elaborates on the complex mathematical formulas used to predict weather changes.
Formal context: '阐述' (elaborate) and '预测' (predict) with '公式'.
制定有效的市场营销策略需要一套清晰的衡量指标和分析公式。
Developing an effective marketing strategy requires a set of clear metrics and analytical formulas.
Business context: '衡量指标' (metrics) and '分析公式' (analytical formula).
在工程设计中，一个微小的计算错误可能导致整个公式失效。
In engineering design, a tiny calculation error can cause the entire formula to fail.
Consequences of errors: '计算错误' (calculation error) and '公式失效' (formula failure).
他认为人际关系也可以用一套固定的公式来解释，但这引起了广泛争议。
He believes interpersonal relationships can also be explained by a set of fixed formulas, but this has caused widespread controversy.
Philosophical/sociological application: '固定的公式' (fixed formulas) for abstract concepts.
理解这些物理公式的推导过程，比仅仅记住它们更为重要。
Understanding the derivation process of these physics formulas is more important than merely memorizing them.
Emphasis on '推导过程' (derivation process) of '公式'.
该部门正在尝试建立一个能够量化项目风险的标准化评估公式。
The department is trying to establish a standardized evaluation formula that can quantify project risks.
Formal procedural context: '标准化评估公式' (standardized evaluation formula).
历史学家们争论是否存在一种适用于所有文明发展的普适性公式。
Historians debate whether there exists a universal formula applicable to the development of all civilizations.
Abstract/historical debate: '普适性公式' (universal formula).
他总是引用一些看似深刻但实则空洞的‘人生公式’来指导别人。
He always quotes some seemingly profound but actually empty 'life formulas' to guide others.
Sarcastic/critical use: '人生公式' (life formulas).
该领域的最新突破依赖于对先前被忽视的量子力学公式的重新诠释。
The latest breakthrough in this field relies on a reinterpretation of previously overlooked quantum mechanics formulas.
Advanced scientific context: '重新诠释' (reinterpretation) of '公式'.
经济学家们正在构建复杂的计量经济学模型，其中包含一系列相互关联的公式来模拟市场行为。
Economists are constructing complex econometric models that include a series of interconnected formulas to simulate market behavior.
Sophisticated modeling: '计量经济学模型' (econometric models) and '相互关联的公式' (interconnected formulas).
在算法交易中，识别和应用有效的交易公式是获取超额收益的关键。
In algorithmic trading, identifying and applying effective trading formulas is key to achieving excess returns.
Financial/technical context: '算法交易' (algorithmic trading) and '交易公式' (trading formulas).
社会学家们试图探究是否存在一种能够解释社会变迁背后驱动力的普世性公式，但其复杂性令人望而却步。
Sociologists attempt to explore whether there exists a universal formula that can explain the driving forces behind social change, but its complexity is daunting.
Abstract societal analysis: '普世性公式' (universal formula) for social change.
这位艺术家通过其作品揭示了隐藏在日常现象背后的数学公式之美。
This artist reveals the beauty of mathematical formulas hidden behind everyday phenomena through their work.
Artistic interpretation: '数学公式之美' (beauty of mathematical formulas).
现代密码学严重依赖于复杂的数学公式和算法来确保信息的安全性。
Modern cryptography heavily relies on complex mathematical formulas and algorithms to ensure information security.
Security/cryptography context: '确保信息的安全性' (ensure information security) with '公式'.
在生物信息学领域，研究人员开发了新的公式来分析基因序列数据。
In the field of bioinformatics, researchers have developed new formulas to analyze gene sequence data.
Specialized scientific field: '生物信息学' (bioinformatics) and '基因序列数据' (gene sequence data).
尽管现代科学取得了巨大进步，但许多基本物理现象仍无法用一个单一的、简洁的公式来完全概括。
Despite great progress in modern science, many fundamental physical phenomena cannot yet be fully summarized by a single, concise formula.
Limitations of current science: '单一的、简洁的公式' (single, concise formula).
对弦论的深入理解需要掌握其基础的数学公式，这些公式往往超越了我们现有的直观认知。
A deep understanding of string theory requires mastering its fundamental mathematical formulas, which often transcend our current intuitive cognition.
Highly theoretical physics: '弦论' (string theory) and '超越直观认知' (transcend intuitive cognition).
在复杂系统的建模中，我们常常面临一个挑战：如何将涌现出的宏观行为归结为一套可操作的微观公式。
In modeling complex systems, we often face a challenge: how to reduce emergent macroscopic behaviors to a set of actionable microscopic formulas.
Systems theory/philosophy of science: '涌现出的宏观行为' (emergent macroscopic behaviors) and '微观公式' (microscopic formulas).
该哲学家认为，语言的本质并非一套固定的语法公式，而是随着社会互动不断演化的动态系统。
The philosopher argues that the essence of language is not a set of fixed grammatical formulas, but a dynamic system that constantly evolves with social interaction.
Linguistics/philosophy: '语法公式' (grammatical formulas) vs. '动态系统' (dynamic system).
理解宇宙的终极规律可能需要一种全新的数学语言和一套前所未有的公式体系。
Understanding the ultimate laws of the universe may require a completely new mathematical language and an unprecedented system of formulas.
Fundamental physics/cosmology: '终极规律' (ultimate laws) and '前所未有的公式体系' (unprecedented system of formulas).
历史的进程是否遵循某种可预测的‘历史公式’，一直是历史学家和哲学家们争论不休的议题。
Whether the course of history follows some predictable 'historical formula' has always been a topic of endless debate among historians and philosophers.
Philosophy of history: '历史公式' (historical formula) and '争论不休' (endless debate).
在人工智能的早期发展阶段，研究人员曾试图通过设计一套详尽的规则公式来模拟人类的智能。
In the early stages of artificial intelligence development, researchers attempted to simulate human intelligence by designing a set of exhaustive rule formulas.
History of AI: '规则公式' (rule formulas) for simulating intelligence.
量子计算的颠覆性潜力在于其能够操纵和利用量子力学中的奇异公式。
The disruptive potential of quantum computing lies in its ability to manipulate and utilize the peculiar formulas of quantum mechanics.
Advanced computing: '量子计算' (quantum computing) and '奇异公式' (peculiar formulas).
尽管我们拥有众多的科学公式来描述自然界，但对于意识的本质，我们仍然缺乏一个清晰的解释公式。
Despite having numerous scientific formulas to describe nature, we still lack a clear explanatory formula for the essence of consciousness.
Philosophy of mind/neuroscience: '意识的本质' (essence of consciousness) and '解释公式' (explanatory formula).
Common Collocations
Common Phrases
— This formula.
这个公式在考试中很重要。
— Mathematical formula.
我需要复习所有的数学公式。
— Physics formula.
请记住这个物理公式。
— To remember a formula.
你需要记住这个公式才能做题。
— To apply a formula.
我们可以应用这个公式来解决问题。
— To understand a formula.
理解公式的含义比死记硬背更重要。
— Basic formula.
这是学习这门课的基本公式。
— Standard formula.
这是行业内的标准公式。
— Formulas and theorems.
数学课上我们学习了许多公式和定理。
— Formulas and equations.
物理学中公式和方程是基本工具。
Often Confused With
An equation states equality between two expressions (e.g., x+2=5). A formula is often a type of equation that expresses a general rule or relationship (e.g., Area = length × width). Not all equations are general formulas.
Rule is a more general term for a principle or instruction. '公式' usually implies a more precise, often symbolic, representation or a highly structured procedure.
Method is a way of doing something. '公式' is typically more specific and often symbolic, whereas '方法' can be a broader description of a process.
Easily Confused
Both relate to mathematical expressions and can involve symbols and variables.
An '方程' (fāngchéng) is an equation, stating that two things are equal (e.g., x + y = 10). A '公式' (gōngshì) is typically a statement of a general rule or relationship, often expressed as an equation, but with a broader purpose of providing a method for calculation or prediction (e.g., the formula for the area of a rectangle is A = l × w). Many formulas are equations, but not all equations are formulas.
请解出这个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>方程</mark> x+5=12。<br> 这个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>可以用来计算矩形的面积。
Both refer to established principles or ways of doing things.
'公式' (gōngshì) often implies a precise, symbolic, and universally applicable statement, especially in math and science. '规则' (guīzé) is a more general term for a rule or regulation, which can be less formal, less symbolic, and context-dependent (e.g., game rules, school rules). While a formula can be considered a type of rule, '公式' emphasizes the structured, often mathematical, nature.
游戏有明确的<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>规则</mark>。<br> 这个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>是解决这类问题的标准方法。
Both are fundamental concepts in mathematics and logic.
A '定理' (dìnglǐ) is a statement that has been proven to be true through logical reasoning (e.g., Pythagorean theorem). A '公式' (gōngshì) is a symbolic expression of a rule or relationship, which may or may not be a theorem itself, but often represents or is derived from theorems. For example, a=b+c could be a formula, while the statement 'If a² + b² = c², then the triangle is a right triangle' is a theorem.
欧几里得几何中的许多<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>定理</mark>都非常有名。<br> 勾股<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>定理</mark>可以用一个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark> a²+b²=c² 来表示。
Both can describe a way to achieve a result.
'公式' (gōngshì) usually refers to a specific, often symbolic, procedure or relationship that yields a result (like a calculation). '方法' (fāngfǎ) is a much broader term for any way or method of doing something, which might not be symbolic or as precisely defined as a formula. For example, a recipe is a method, but a specific chemical reaction's equation is a formula.
他找到了一种新的<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>方法</mark>来学习。<br> 这个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>可以快速计算出结果。
Both can imply a structured or repeatable way of operating.
'模式' (móshì) means pattern or model, referring to a recurring style, arrangement, or behavior. '公式' (gōngshì) implies a more defined, often symbolic, rule or procedure. For instance, a business '模式' might describe how a company operates, while a financial '公式' would be the specific calculation used within that model.
这种销售<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>模式</mark>很成功。<br> 我们可以用这个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>来预测销售额。
Sentence Patterns
这是 [Modifier] 公式。
这是 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>数学</mark> 公式。
[Subject] + [Verb] + 这个 公式。
我需要 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>记住</mark> 这个 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>。
关于 [Topic] 的 公式。
这是 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>计算面积</mark> 的 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>。
[Subject] + [Verb] + [Object] 的 公式。
老师教我们 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>物理</mark> 的 <mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>。
在 [Context] 中，[Formula] 是 [Adjective/Noun]。
<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>在这个计算</mark>中，<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>是<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>关键</mark>。
[Subject] + 认为 + [Statement about Formula]。
他<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>认为</mark>，<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>这个公式</mark>可以解决所有问题。
理解/掌握 + [Formula] + 的 + [Process/Concept]。
<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>理解</mark> 这个<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>的<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>推导过程</mark>很重要。
一套 + [Modifier] + 公式。
我们需要一套<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>标准</mark>的<mark class='bg-emerald-200 dark:bg-emerald-800 px-0.5 rounded'>公式</mark>来指导工作。
Word Family
Nouns
Adjectives
Related
How to Use It
High
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Using '公式' for any general rule.
→
Using '规则' (guīzé) or '规定' (guīdìng) for general or official rules.
While '公式' can imply a rule, it usually suggests a more precise, often symbolic or mathematical, representation. For less formal or non-symbolic rules, '规则' is often more appropriate. For official regulations, '规定' is used.
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Confusing '公式' with '方程'.
→
Understanding that '公式' is often a type of equation expressing a general relationship, while '方程' is simply a statement of equality.
An '方程' (fāngchéng) like x+2=5 is a statement of equality. A '公式' (gōngshì) like Area = length × width is a general rule for calculation. While the formula can be written as an equation, its purpose is broader.
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Overusing '公式' in casual conversation.
→
Using simpler, more common words like '方法' (fāngfǎ - method) or '习惯' (xíguàn - habit) in informal settings.
Calling every simple habit or preference a '公式' can sound unnatural or overly technical in casual conversation. Reserve '公式' for situations that genuinely involve a structured, repeatable process or symbolic representation.
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Incorrectly pluralizing '公式'.
→
Chinese nouns are generally not pluralized. Use context or quantifiers like '很多' (hěn duō - many) or '一些' (yīxiē - some) to indicate plurality.
You don't say '公式s'. Instead, you say '很多公式' (hěn duō gōngshì - many formulas) or '这些公式' (zhèxiē gōngshì - these formulas).
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Using '公式' for a theorem.
→
Using '定理' (dìnglǐ) for a proven statement, and '公式' for the symbolic expression.
A '定理' (dìnglǐ) is a proven statement (e.g., Pythagorean theorem). A '公式' (gōngshì) is the symbolic representation (e.g., a² + b² = c²). While related, they are distinct concepts.
Tips
Mastering the Tones
Pay close attention to the tones of '公' (gōng - first tone) and '式' (shì - fourth tone). Incorrect tones can significantly alter the meaning or make the word difficult to understand. Practice saying 'gōngshì' repeatedly, focusing on the distinct sounds and intonation.
Active Application
Don't just memorize the definition. Try to actively use '公式' in your own sentences, both in writing and speaking. Create examples for yourself, perhaps related to subjects you study or processes you follow daily.
Compare with Synonyms
Understand the nuances between '公式', '方程', '规则', and '方法'. Knowing when to use each word will significantly improve your accuracy and fluency.
Visualize the Concept
When you think of '公式', visualize mathematical equations, scientific diagrams, or even flowcharts representing procedures. This visual association can help solidify the meaning in your memory.
Deconstruct the Characters
Remember that '公' (gōng) means public/common and '式' (shì) means form/style. This etymology hints at a 'common form' or 'standard style', which is the essence of a formula.
Regular Practice
Incorporate '公式' into your vocabulary practice routine. Use flashcards, vocabulary apps, or practice exercises regularly to keep the word fresh in your mind.
Read Extensively
Encountering '公式' in various texts – textbooks, articles, websites – will expose you to its different uses and help you internalize its meaning and grammatical patterns.
Explore Metaphorical Uses
Be aware that '公式' is often used metaphorically to describe any set of steps or principles that consistently lead to a certain outcome. This figurative usage is common in everyday conversation.
Learn from Mistakes
When you encounter or make mistakes with '公式', analyze why the usage was incorrect. Was it the wrong context, an incorrect synonym, or a grammatical error? Learning from these errors is crucial for improvement.
Memorize It
Mnemonic
Imagine a '公' (gōng) bus, which is a public bus, always following the same route and schedule. This route and schedule is like a '公式' (gōngshì) – a fixed, standard way of doing things. The bus has a specific '式' (shì), or style/form, of operation.
Visual Association
Picture a blackboard covered in mathematical symbols and equations, representing complex '公式'. Then, imagine a teacher drawing a big, clear '公' (gōng) shape and a '式' (shì) shape next to it, signifying that these symbols together form a recognized 'formula'.
Word Web
Challenge
Try to explain the concept of a 'formula' to someone using only Chinese, without using the English word. Focus on the idea of a symbolic rule or a standard procedure.
Word Origin
The word '公式' is a direct translation of the English word 'formula'. The characters themselves, '公' (gōng - public, common) and '式' (shì - style, form, ceremony), suggest a 'common form' or 'standard style'. This aligns well with the concept of a universally accepted rule or expression.
Original meaning: The combination of '公' (common/public) and '式' (form/style) implies a standardized or commonly accepted form.
Sino-Tibetan (Chinese)Cultural Context
None specific to this word.
In English-speaking cultures, 'formula' is widely used in mathematics, science, and even metaphorically (e.g., 'the formula for success'). The Chinese '公式' mirrors this versatility.
Practice in Real Life
Real-World Contexts
Mathematics class
- 数学公式
- 基本公式
- 记住公式
- 应用公式
- 推导公式
Physics lecture
- 物理公式
- 复杂公式
- 理解公式
- 公式的含义
- 公式和方程
Business strategy meeting
- 标准公式
- 分析公式
- 定价公式
- 营销公式
- 制定公式
Discussing a scientific paper
- 论文中的公式
- 公式的推导
- 公式的有效性
- 公式的应用范围
- 新的公式
Casual conversation about problem-solving
- 解决问题的公式
- 他的个人公式
- 一种公式
- 没有公式
- 生活公式
Conversation Starters
"你最喜欢的数学公式是什么？为什么？"
"你觉得学习物理公式难吗？有什么好的学习方法吗？"
"在我们公司，你认为有没有一个可以提高效率的‘公式’？"
"除了科学领域，你还能想到‘公式’在生活中的其他用法吗？"
"如果你要给别人一个关于如何成功的‘公式’，你会说什么？"
Journal Prompts
记录下你最近遇到的一个数学或科学公式，并尝试用自己的话解释它的含义。
思考一下你的日常生活中是否存在一些‘公式’，比如固定的起床流程、学习方法，或者与朋友相处的模式，并写下来。
你认为‘公式’能真正解决所有问题吗？写下你的看法，并举例说明。
描述一个你曾经觉得非常复杂的公式，以及你是如何最终理解它的过程。
想象一下，如果生活中没有‘公式’，一切会变得怎样？写一篇关于这个想象的短文。
Frequently Asked Questions
10 questionsThe primary meaning of '公式' (gōngshì) is 'formula', especially in mathematics and science. It refers to a standardized way of expressing a relationship or rule using symbols, numbers, and operators. For example, the formula for the area of a circle is πr².
Yes, '公式' can also be used metaphorically or in broader contexts to mean a standard procedure, a set of rules, or a recognized method for achieving something. For example, one might talk about a 'communication formula' or a 'business formula', implying a structured approach.
As a concept, '公式' is generally uncountable. However, when referring to specific instances of formulas, you can use measure words like '个' (gè), for example, '一个数学公式' (yīgè shùxué gōngshì) - one mathematical formula, or '这些公式' (zhèxiē gōngshì) - these formulas.
'方程' (fāngchéng) means 'equation', which states that two expressions are equal (e.g., x + 2 = 5). A '公式' (gōngshì) is often a type of equation that expresses a general rule or relationship used for calculation or prediction (e.g., the formula for the area of a rectangle, A = l × w). So, many formulas are equations, but not all equations are general formulas.
The pronunciation is gōngshì. The first character '公' (gōng) has a tone similar to 'gong' in English, and the second character '式' (shì) has a tone similar to 'shuh' but with a rising tone.
Yes, common mistakes include using it too broadly in casual conversation where simpler terms are more appropriate, or confusing it with '方程' (equation) or '规则' (rule) when the context demands a more specific or symbolic meaning.
While a recipe is a set of instructions, it's more commonly referred to as '菜谱' (càipǔ) or '食谱' (shípǔ). However, you could metaphorically call a very precise and standardized recipe a '烹饪公式' (pēngrèn gōngshì) to emphasize its exactness.
'公式化的' (gōngshì huà de) means 'formalized' or 'formulaic'. It describes something that follows a set pattern or formula, often implying a lack of creativity or spontaneity.
Common collocations include '数学公式' (mathematical formula), '物理公式' (physics formula), '基本公式' (basic formula), '应用公式' (apply formula), and '记住公式' (remember formula).
In business, '公式' can refer to financial formulas, pricing strategies, marketing models, or standardized operational procedures. For example, a company might develop a 'profit formula' or a 'customer acquisition formula'.
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Summary
The Chinese word '公式' (gōngshì) primarily means 'formula' in mathematical and scientific contexts, representing a rule or relationship expressed in symbols. It also extends to mean a standard procedure or set of rules in broader applications, implying a fixed, recognized method.
- A formula is a symbolic rule, mainly in math/science.
- It can also mean a standard procedure or set of rules.
- Used in academic, technical, and business contexts.
- Distinguish from equation (方程) and theorem (定理).
Mastering the Tones
Pay close attention to the tones of '公' (gōng - first tone) and '式' (shì - fourth tone). Incorrect tones can significantly alter the meaning or make the word difficult to understand. Practice saying 'gōngshì' repeatedly, focusing on the distinct sounds and intonation.
Context is Key
The meaning of '公式' can shift slightly depending on the context. In academic settings, it's almost always a mathematical or scientific formula. In business or everyday life, it might refer to a standard procedure or a metaphorical 'rule'.
Active Application
Don't just memorize the definition. Try to actively use '公式' in your own sentences, both in writing and speaking. Create examples for yourself, perhaps related to subjects you study or processes you follow daily.
Compare with Synonyms
Understand the nuances between '公式', '方程', '规则', and '方法'. Knowing when to use each word will significantly improve your accuracy and fluency.
Example
学习数学要记住很多公式。
Related Content
This Word in Other Languages
More academic words
缺席
B1The state of being absent from a place or event where one is expected to be, such as a class, meeting, or ceremony.
抽象的
A2Abstract.
抽象地
B1In an abstract manner; conceptually.
艰深
B1Profound; abstruse; recondite.
学术性
A2Academic; scholarly; relating to education and scholarship.
学术化
B1Academic; characterized by formal study or research.
学术会议
A2Academic conference; a formal meeting for academic discussions.
学术交流
B1Exchange of ideas, information, and research among scholars.
学术期刊
B1A periodical publication containing scholarly articles.
教务处
A2Academic affairs office; department handling educational administration.
