Differential Equation Hats

Description: The infamous and very useful equation to move from contour integral to surface integral, also known as Stokes theorem.

Description: A visual representation of a differential equation "v dv/dx = -w^2 x" alongside two graphs. The left graph depicts a sinusoidal waveform labeled 'y' versus 'wt', with amplitude 'A' and labeled points. The right graph shows a circular path with concentric circles and a rotating element labeled 'wt' indicating circular motion.

Description: A science and mathematics visual featuring a differential equation, 'v dv/dx = -ω²x', above a graph of a sine wave with axes labeled 'y', '+A', '-A', '0', 'π/2', 'π', '3π/2', '2π', and 'ωt x'. To the right is a polar coordinate grid with concentric circles and radial lines, showing a segment of a circle and the label 'ωt'. The entire composition is in white on a black background.

Description: A scientific graphic featuring the differential equation "v dv/dx = -ω^2 x" at the top. Below, a sine wave graph plots 'y' against 'ωt' with amplitude '+A' and '-A', labeled with fractions of pi. To the right, a circular diagram shows concentric rings and a rotating point labeled 'ωt'.

Description: The Jacobian matrix made out of the different partial derivatives of the components of the function, which is used in solving linear partial differential equations, and other problems in mathematics

Description: The infamous and very useful equation to move from volume integral to surface integral.

Description: In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

Description: In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

Description: The simple differential equation modeling the RLC circuit made of a capacitor, an inductor and a resistor without a generator.

Description: Faraday law of electromagnetic induction which is the founding block of almost all the engineering we use, from electrical to mechanical engineering.

Description: A scientific diagram displays fluid dynamics principles with an airfoil and various object shapes interacting with flow lines. It includes an equation involving partial derivatives and a logarithmic function. Three separate diagrams show flow patterns around circular, spiked, and smooth objects, with accompanying graphical representations of flow data.

Description: A dark background features white mathematical equations and symbols arranged to resemble a clock face. Two white lines meet at a central point, forming clock hands. Equations like '(a+b)² = a² + 2ab + b²', 'lim sin x / x = 1', and 'sin(π/2) = 1' are present.

Description: A scientific diagram displaying fluid dynamics concepts. It features an airfoil cross-section with flow lines, a complex partial differential equation, three visualizations of flow around a cylinder at different Reynolds numbers, and three corresponding plots showing pressure (P/P) and velocity (V/P) against spatial variables (Yp, YB, XB). The overall style is monochrome with white lines and text on a black background.

Description: Deriving d'Alembert wave equation of electric field from Maxwell's equations.

Description: The famous formula of radioactive decay, that has numerous applications, from medicine, to learning about the history of Earth and understanding the universe.