#Boolean Functions In Math

✨️video’s Manim code Link in bio- easy, fully explained & customizable. ✨️Graphs are everywhere in math and science. 📊 From the curves of y = x² to y = x⁹, to trigonometric graphs like sine and cosine, to the Taylor series of sin, cos, and eˣ that help us approximate functions, and even parametric curves such as x³ + y³ = 1 to x⁹ + y⁹ = 1. These graphs are used in physics, engineering, computer science, economics, and even animations. 🚀 Understanding them makes math not just theory, but a tool for the real world.#equation #reels #mathematics #math #likeme #fyp #trending Which graph do you like the most? 👇

Parent functions are the simplest forms of functions that serve as the foundation for entire families of related functions. Each one represents a core behavior without any transformations. A linear parent function creates a straight line and shows constant change. A quadratic parent function forms a symmetrical curve that opens upward. A cubic parent function produces a smooth curve that changes direction once. An absolute value function creates a sharp V shape by turning all negative inputs positive. A square root function begins at a point and curves gently upward, showing gradual increase. An exponential function grows rapidly and always stays positive. A logarithmic function increases slowly and is only defined for positive inputs. A reciprocal function forms two mirrored curves that approach but never touch the center. Understanding these parent functions helps us recognize how more complex functions behave when they are shifted, stretched, or reflected. #sciencesubtlety #science #mathematics #explorepage #explore #fypシ #viralreels #viral #physics #chemistry #biology #sciencefacts #SciencePage #relatable #sciencedaily #reels #instagramreels #fypppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

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Transformation of Function x²

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#genuary7 boolean algebra. get inspired by boolean algebra, in any way. This visual is powered by Boolean algebra which is a mathematical system where pixels are treated as binary values of 1 for True and 0 for False. By using an XOR logic gate the center shape acts as a logical lens that reverses the background stripes only where they overlap. When a white stripe meets the white circle the XOR gate outputs a 0 to punch a hole through the geometry but when a black space meets the circle it outputs a 1 to flip the color. This creates a hypnotic and rhythmic contrast that is perfectly locked to the math of the loop. #touchdesigner #genuary2026 #genuary #boolean

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Power functions

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The functions sin θ and sin 2θ are both periodic trigonometric functions, but they differ significantly in frequency and behavior. Sin θ completes one full oscillation over an interval of 2π, while sin 2θ completes two full oscillations in the same interval, meaning it has double the frequency. This makes sin 2θ oscillate faster, with more peaks and troughs compared to sin θ. Additionally, while both functions have the same amplitude and range—from –1 to 1—their zero crossings and turning points occur at different locations, affecting how they interact with other functions in applications like signal processing or Fourier analysis. The difference in frequency also means that sin 2θ can represent more rapid variations, making it useful for modeling faster-changing phenomena. I hope you like this video and follow @mathswithmuza for more! #math #learn #maths #mathematics #study #learning #calculus #algebra #sine #circle #foryou #reels #explore #fyp #college #school #highschool #animation #physics #stem #chatgpt #ai

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