τ also represents the topology on a set; the set that defines the structure of the original set (Example usage: (𝑋, τ) wherein 𝑋 is a set, and τ is the set of some of the subsets from 𝑋) The symbol alongside π and φ is also usually used to denote a mapping between sets in modern algebra and topology (Example usage: π: A→B or τ: A→B wherein A and B are sets, and if a is an element from A, then π(a) or τ(a) is an element from B) Speaking of φ, it's also used to denote the azimuthal angle in spherical coordinates, which is made up with ρ and θ (Example usage: ρcos(θ)sin(φ)î + ρsin(θ)sin(φ)ĵ + ρcos(φ)k̂ in 3D-space is the sphere of radius ρ from the origin) ζ and ω are also used to denote nth roots of unity, which are equations of the form ζⁿ = 1 or ωⁿ = 1, wherein ζ or ω is some complex number, and n is an integer. (Example usage: ω³ = 1 means ω = -1/2 + i√3/2) λ is less commonly but in a more general case from the eigenvalue usage, is also used in linear algebra to denote a scalar value from the ground field (This is usually the reals) of a vector space (Usually the set of all n-tuples of real numbers) (Example usage: λ₁e₁ + λ₂e₂ + λ₃e₃ + λ₄e₄ denotes a linear combination of the vectors e₁ through e₄, and λ₁ through λ₄ are real numbers)
@rcengineer3 ай бұрын
Bonus: sigma = axial stress (force/area in an element under tensile or compressive load) epsilon = axial strain (current length/original length of element) tau = shear stress (like axial stress but the load acts parallel to the stress plane) gamma = shear strain (change in angle of a line originally perpendicular to shear plane) phi = angle when theta is already used psi = angle when both theta and phi are used rho = density omega = angular velocity zeta (or "snake," according to my professor who can't draw it properly) = damping ratio of mass-spring-damper system
@renzoniebres7343Ай бұрын
Also Epsilon Denotes A Universal Set
@renzoniebres7343Ай бұрын
In set theory
@pixel081815 күн бұрын
some of them are more physics than math
@simonpugh37313 ай бұрын
That thumbnail hurt my soul in all the ways
@DirectedArtАй бұрын
Why?
@qdphi3 ай бұрын
Are you using some kind of AI for the voice? Aside from the butchered pronunciations of names, you pronounced a+bi like “a plus bye”. Wtf.
@HaliPuppeh13 күн бұрын
8 was thinking the same thing.
@YouTube_username_not_found3 ай бұрын
Lower Sigma can also represent permutations of finite sets {1,2,3, ... n}.
@peterchan60823 ай бұрын
Almost all the Greek letters were mispronounced.
@Vengemann3 ай бұрын
I remember learning Greek alphabet for maths few years ago which kind of helped me remembering formula in maths and physics lol
@andreiinthedesktopworld11783 ай бұрын
Ah yes, my favorite ordinal “1th”
@erik_ryan-e3q3 күн бұрын
0:33
@Timuxer3 ай бұрын
bro fell off
@aidenmcdonald56053 ай бұрын
O is also used to denote the origin
@SpeedyMcMichaelАй бұрын
wheres my lowercase sigma function or my prime counting function or somos' quadratic recurrence constant
@aloismelichar8152 ай бұрын
I love the Sibelius
@picklerick_9119 күн бұрын
rho, rho, rho your boat gently down the ρεύμα
@dr.sleaseball4413 ай бұрын
capital omega is used for absolute infinity but I guess this isn't used in math
@fikerzelalem-i2i2 ай бұрын
0:34 literally man
@davethesid89603 ай бұрын
a plus bye 😂 π can also represent an arbitrary permutation m, for example, in linear algebra when talking about the determinant.
@wilville3752Ай бұрын
My prof uses xi or small epsillon for an and symbol lol.
@joe_lwrnc3 ай бұрын
Badenerie in the background 😭
@victork8708Ай бұрын
NO EULER PHI FUNCTION???
@DebobChannelАй бұрын
Sigma rizzler
@Dr_LK3 ай бұрын
8:44 “poler “ LOL really???? You speak English right? Try Polar!