Marion Lefevre

Create personalized quizzes to reinforce concepts

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Créer des quizz personnalisés pour renforcer les notions

IN BRIEF Online quiz: Interactive tool to assess knowledge. Personalized learning: Adapting quizzes according to learners’ levels. Qruiz: Free questionnaire editor for creating and sharing content. Varied tools: Options like Wooclap and iSpring QuizMaker for dynamic quizzes. Interactivity: Engage learners through multiplayer quizzes. Ease of creation: Templates and frameworks simplifying the development of questionnaires. Events: … Read more

The study of mathematical symmetries

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L'étude des symétries mathématiques

IN BRIEF Central symmetry: transformation around a point, conserving the properties of the original figure. Construction of symmetrics: procedure to obtain the symmetric of a point, segment, or figure. Centre of symmetry: a point O if its symmetric is identical to the figure. Geometric transformation: symmetry is an involutive form, preserving parallelism. Applications: symmetry is … Read more

The mathematical models for forecasting climate and weather

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Les modèles mathématiques pour prévoir le climat et la météo

IN SHORT Climate Models: Numerical representations of the climate system. Nonlinear Dynamic Systems: Underlying mathematics of the models. Differential Equations: Used to model climatic phenomena. Climate Change: Data analysis to understand climate evolution. Temperature, Wind, and Precipitation: Observed phenomena to refine predictions. Data Engineering: Combining information for accurate forecasting. Forecast History: Evolution of methods since … Read more

Introduction to Mathematical Logic and its Principles

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Introduction à la logique mathématique et ses principes

IN BRIEF Presentation of mathematical logic. Introduction to logical connectors: ¬, ∧, ∨, ⇒, and ⇔. Description of propositions and their value: true or false. Classical statement: example of logical reasoning with Socrates. Distinction between formal logic, material logic, and inductive logic. Importance of symbols and principles in formal demonstrations. Exploration of the fundamental principles … Read more

The best podcasts to learn mathematics

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Les meilleurs podcasts pour apprendre les mathématiques

IN BRIEF Listen to podcasts to discover mathematics in a different way. The best podcasts include: Maths en tête, The Mathematical Ear. Popularization of mathematics by renowned experts. Varied themes: from combinatorics to theoretical physics. Educational programs aligned with school curricula. Learning opportunities while having fun through games and interactions. Podcasts are proving to be … Read more

Mathematics in religions and beliefs

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Les mathématiques dans les religions et les croyances

IN BRIEF Mathematics and religion: A fascinating link Do beliefs influence the perception of mathematics? The question of the existence of God through mathematics Applied mathematics to spirituality and religious practices Debates surrounding the ontological proofs by Gödel Impact of mathematics in religious cultures, notably in Islam Mathematical theorems and their influence on religious thinking … Read more

translated_content> The futuristic visions of mathematics serving humanity

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Les visions futuristes des mathématiques au service de l’humanité

IN BRIEF Mathematics as a forecasting tool for various sectors. Challenges posed by machines and artificial intelligence. The importance of collaborative work between scientific disciplines. Essential role of mathematical models in societal understanding. The debate surrounding mathematics: human invention or universal discovery. Celebration of International Mathematics Day. Exploration of fractals and chaos theory. Reflection on … Read more

Algebraic structures: groups, rings, and fields

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Les structures algébriques : groupes, anneaux et corps

IN BRIEF Groups: A non-empty set equipped with an internal composition law, satisfying associativity and having an identity element. Rings: A set with two internal operations, addition and multiplication, adhering to specific algebraic properties. Fields: A commutative ring where every non-zero element has a multiplicative inverse. Algebraic structures: Fundamental in mathematics, they form the basis … Read more

Understanding famous paradoxes in mathematics

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Comprendre les paradoxes célèbres en mathématiques

IN BRIEF Zeno’s Paradox: Achilles and the tortoise illustrate the infinite. Russell’s Paradox: Highlights logical contradictions. The Liar Paradox: A statement that contradicts itself. The Barber Paradox: A classic example of paradoxical logic. The Missing Dollar Riddle: Raises questions about addition. Ellsberg’s Paradox: Reveals irregularities in probability choices. Hilbert’s Hotel: Exposes the properties of the … Read more

Complex analysis: introduction to imaginary numbers

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Analyse complexe : introduction aux nombres imaginaires

IN BRIEF Complex analysis: study area of complex numbers. Definition of a complex number: z = a + bi with a and b real, i imaginary unit. Visualization of complex numbers in the plane with coordinates. Operations on complex numbers: addition, subtraction, multiplication, etc. Basic concepts related to imaginary numbers and their importance in applied … Read more