"Analyticity" Example Sentences
1. The concept of analyticity plays a crucial role in mathematical analysis.
2. The analyticity of a function is determined by its ability to be expanded as a power series.
3. The notion of analyticity is central to the field of complex analysis.
4. The analyticity of a mathematical expression refers to its ability to be broken down into simpler components while preserving meaning.
5. The analyticity of a theorem can often be demonstrated through rigorous proof.
6. The concept of analyticity is one of the fundamental ideas in mathematical logic.
7. Analyticity is closely related to the idea of logical necessity in philosophy.
8. The idea of analyticity has been a topic of debate among philosophers and mathematicians for centuries.
9. The analyticity of a statement can often be determined through a process of semantic analysis.
10. The concept of analyticity is closely tied to the notion of truth in mathematical discourse.
11. The analyticity of a set of mathematical axioms can be verified through logical derivation.
12. The concept of analyticity is often used in the study of linguistic semantics.
13. Analyticity is a key property of certain scientific theories, such as quantum mechanics.
14. The analyticity of a function can be demonstrated through its uniform convergence on a given interval.
15. The analyticity of a statement is determined by its logical structure and the meanings of its component terms.
16. The concept of analyticity has been used to distinguish between true and false propositions in logic.
17. The analyticity of an argument depends on the logical connections between its premises and its conclusions.
18. The concept of analyticity is relevant to a wide range of fields, including economics, linguistics, and physics.
19. The analyticity of a theory is often evaluated based on its ability to explain and predict empirical data.
20. Analyticity is one of the key criteria used to evaluate the quality of scientific explanations.
21. The analyticity of a mathematical model can be verified through empirical testing and validation.
22. The concept of analyticity is fundamental to the study of abstract algebra.
23. The analyticity of a statement in philosophy is determined by its coherence with other accepted propositions.
24. The concept of analyticity can be used to distinguish between formal and informal modes of mathematical reasoning.
25. The analyticity of a logical system can be evaluated based on its internal consistency and its ability to capture important mathematical concepts.
26. The analyticity of a set of data can be assessed through statistical analysis and hypothesis testing.
27. The concept of analyticity is relevant to both deductive and inductive modes of reasoning.
28. The analyticity of a mathematical expression can be demonstrated through the use of calculus and other mathematical techniques.
29. The concept of analyticity has been used to analyze the structure of language and its relation to thought.
30. Analyticity plays a critical role in the development of rigorous mathematical proofs and the verification of mathematical results.
Common Phases
1.
Analyticity is a property of a function;
2.
Analyticity is a characteristic of a complex function;
3.
Analyticity is important in complex analysis;
4. A function is said to be analytic in a region if it has a derivative at every point in the region;
5. The Cauchy-Riemann equations provide necessary and sufficient conditions for
analyticity;
6.
Analyticity is closely related to holomorphicity and differentiability;
7. The study of singularities is important in understanding
analyticity;
8. Meromorphic functions are analytic except at their singularities.