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Joined February 2025
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What is the "median"? The image below will tell you! #median #ChineseCollegeEntranceExam
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This is a question from the 2026 Chinese College Entrance Examination (Gaokao) mathematics paper. #Mathematics #Vector #高考数学
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How long would it take you to solve this problem during a stressful exam? It's just a low-scoring fill-in-the-blank question. #Mathematics #ChineseCollegeEntranceExam #Functions
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Master the core knowledge of regular polygons! The number of sides determines everything; interior and exterior angles are supplementary at 180°; the sum of exterior angles is 360°. A pentagon's exterior angle is 72°, and a hexagon's interior angle is 120°. One diagram to solve geometric calculations and easily tackle math problems! #RegularPolygons #InteriorAndExteriorAngles #GeometricFormulas
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Includes limits of core functions to help you quickly master the essence of calculus. #Limits #CalculusTools #Mathematics
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This reference table pairs graphs with standard integral formulas: >Area bounded by x-axis: Area = ∫_b^a f(x) dx >Area bounded by y-axis: Area = ∫_c^d f(y) dy >Area between two curves: Area = ∫_b^a [f(x) − g(x)] dx >Volume of revolution about x-axis (disk method): Volume = π ∫_b^a y² dx >Volume of revolution about y-axis (disk method): Volume = π ∫_c^d x² dx Real-life applications: These formulas are used to calculate total accumulated quantities such as distance traveled from velocity curves, enclosed regions in economics and biology, and volumes of three-dimensional objects like tanks, pipes, vases, and machine parts in engineering and manufacturing.
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Thermodynamics Formula Sheet. Part -1
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Mathematical magic? Taylor series perfectly approximates sin(x) using polynomials! Linear to quintic, the more terms, the more accurate! #TaylorSeries #FunctionApproximation #MathematicalModeling
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Polynomial addition and subtraction! Align coefficients for instant calculation! #Algebraicoperations #Polynomialadditionandsubtraction #Mathpractice
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Gabriel's Horn, where a surface can have Infinite surface area but finite surface volume.
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Today we'll tackle a classic parabola tangent line problem! Given the curve y² = 4px, find the equation of its tangent line at point P(x₀, y₀). The step-by-step derivation is super clear; I recommend saving it! Where do you usually get stuck when solving these kinds of problems? #parabolatangentline #analyticgeometry #highschoolmathematics
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Quick Memorization of Fluid Mechanics Formulas! Density and pressure, Pascal's principle, Archimedes' buoyancy, Bernoulli's equation, continuity equation… Master these and easily solve fluid physics problems! #FluidMechanics #PhysicsFormulas #StudyNotes
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20 Quick Tips for Calculating the Area of ​​a Triangle! Simply master these tips for exam practice! Save and share! #TriangleArea #GeometryFormulas #MathExam
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Math enthusiasts, help! Still struggling with limits and Taylor expansions? This quick reference table of commonly used equivalent infinitesimals is here! It clearly and intuitively covers 8 core equivalence relations (when x→0), making all substitutions and estimations a breeze. Exams/homework will be a breeze! Print it out and stick it on your desk—it's amazing! (Image is a high-resolution English version of the popular science poster) #AdvancedMathematics #EquivalentInfinitesimals #LimitCalculations
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1D Quantum Many-Body Problems: 8 Solvers That Crack the Barrier! Want to easily solve strongly correlated problems? One image tells you which one is the strongest! #QuantumManyBody #TensorNetworks #1DQuantumModel
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Mathematics Formula Sheet Relations and Functions m
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Look at mine, still working perfectly! Casio products are so reliable! #calculator #Casio
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Stuck on PDEs? One diagram can unlock your solution! A complete analysis of seven top-tier methods for solving partial differential equations: separation of variables, Green's function, variational method, boundary integral... A systematic mind map to establish a complete methodological framework in one diagram! A must-save! #PDE #PartialDifferentialEquations #MathematicalMethods
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🚨: Nobel Prize physicist Roger Penrose claims there is no such thing as nothingness. Your soul is eternal because matter cannot be destroyed.
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