AI & ChatGPT searches , social queries for COS 1
Search references for COS 1. Phrases containing COS 1
See searches and references containing COS 1!
Search references for COS 1. Phrases containing COS 1
See searches and references containing COS 1!COS 1
Topics referred to by the same term
Cos-1, COS-1, cos-1, or cos−1 may refer to: Cos-1, one of two commonly used COS cell lines cos x−1 = cos(x)−1 = −(1−cos(x)) = −ver(x) or negative versine
Cos-1
Topics referred to by the same term
Look up Cos or cos in Wiktionary, the free dictionary. Cos, COS, CoS, coS or Cos. may refer to: Carbonyl sulfide Class of service (CoS or COS), a network
Cos
Fundamental trigonometric functions
( θ ) = 1 − cos ( 2 θ ) 2 cos 2 ( θ ) = 1 + cos ( 2 θ ) 2 {\displaystyle \sin ^{2}(\theta )={\frac {1-\cos(2\theta )}{2}}\qquad \cos ^{2}(\theta
Sine_and_cosine
Cell lines derived from monkey kidney tissue
genetic material. Three COS lines were created (COS-1, COS-3 and COS-7), of which two are commonly used (COS-1 and COS-7). The COS cell lines are often used
COS_cells
Geometry of figures on the surface of a sphere
cosine rule: cos a = cos b cos c + sin b sin c cos A , cos b = cos c cos a + sin c sin a cos B , cos c = cos a cos b + sin
Spherical_trigonometry
Triangle center
1 + cos 1 2 β cos 1 2 γ cos 1 2 α : 1 + cos 1 2 γ cos 1 2 α cos 1 2 β : 1 + cos 1 2 α cos 1 2 β cos 1 2 γ {\displaystyle 1+{\frac
Equal_detour_point
Attribute of a mathematical function
1 ) = sin 1 z − 1 + ( cos 1 − sin 1 ) + ( z − 1 ) ( − sin 1 2 ! − cos 1 + sin 1 ) + ⋯ . {\displaystyle {\frac {\sin z}{z(z-1)}}={\sin 1 \over
Residue_(complex_analysis)
3 intersections of any triangle's adjacent angle trisectors form an equilateral triangle
by cos 1 3 A + 2 cos 1 3 B cos 1 3 C : cos 1 3 B + 2 cos 1 3 C cos 1 3 A : cos 1 3 C + 2 cos 1 3 A cos 1 3 B {\displaystyle \cos {\tfrac
Morley's_trisector_theorem
Relates the tangent of half of an angle to trigonometric functions of the entire angle
include tan 1 2 ( η ± θ ) = tan 1 2 η ± tan 1 2 θ 1 ∓ tan 1 2 η tan 1 2 θ = sin η ± sin θ cos η + cos θ = − cos η − cos θ sin η
Tangent_half-angle_formula
Functions of an angle
formula cos ( x − y ) = cos x cos y + sin x sin y {\displaystyle \cos(x-y)=\cos x\cos y+\sin x\sin y\,} and the added condition 0 < x cos x <
Trigonometric_functions
Type of plane curve
1 − cos φ ) ⋅ sin φ . {\displaystyle {\begin{array}{cclcccc}x(\varphi )&=&a\;(-\cos(2\varphi )+2\cos \varphi -1)&=&2a(1-\cos \varphi )\cdot \cos \varphi
Cardioid
sin α cos β cos γ cos ( 2 α ) + cos ( 2 β ) + cos ( 2 γ ) = − 4 cos α cos β cos γ − 1 − cos ( 2 α ) + cos ( 2 β ) + cos ( 2 γ
List of trigonometric identities
List_of_trigonometric_identities
Matrix representing a Euclidean rotation
v = [ cos θ − sin θ sin θ cos θ ] [ x y ] = x [ cos θ sin θ ] + y [ − sin θ cos θ ] = [ x cos θ − y sin θ x sin θ + y cos θ ]
Rotation_matrix
Correspondence between quaternions and 3D rotations
around any axis. γ = 2 cos − 1 ( cos β 2 cos α 2 − B ⋅ A sin β 2 sin α 2 ) D = B sin β 2 cos α 2 + A sin α 2 cos β 2 + B × A sin β
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Flight or sailing route along the shortest path between two points on a globe's surface
tan α 1 = cos ϕ 2 sin λ 12 cos ϕ 1 sin ϕ 2 − sin ϕ 1 cos ϕ 2 cos λ 12 , tan α 2 = cos ϕ 1 sin λ 12 − cos ϕ 2 sin ϕ 1 + sin
Great-circle_navigation
Trigonometric relation between sides and angles of a triangle
cos 1 2 ( α − β ) sin 1 2 γ , a − b c = sin 1 2 ( α − β ) cos 1 2 γ . {\displaystyle {\begin{aligned}{\frac {a+b}{c}}={\frac {\cos {\tfrac {1}{2}}(\alpha
Mollweide's_formula
axis and the semi-major axis): α = sin − 1 e = cos − 1 ( b a ) . {\displaystyle \alpha =\sin ^{-1}\!e=\cos ^{-1}\left({\frac {b}{a}}\right).\,\!} Angular
Angular_eccentricity
Trigonometric values in terms of square roots and fractions
approximately, as in cos ( π / 4 ) ≈ 0.707 {\displaystyle \cos(\pi /4)\approx 0.707} , or exactly, as in cos ( π / 4 ) = 2 / 2 {\displaystyle \cos(\pi /4)={\sqrt
Exact_trigonometric_values
Decompositions of inner product spaces into orthonormal bases
) = cos x {\displaystyle f(x)=\cos x} over [ − 1 , 1 ] {\displaystyle [-1,1]} . Then c 0 = ∫ − 1 1 cos x d x ∫ − 1 1 ( 1 ) 2 d x = sin 1 c 1 = ∫
Generalized_Fourier_series
Relates tangents of two angles of a triangle and the lengths of the opposing sides
1 2 ( α − β ) cos 1 2 ( α + β ) 2 sin 1 2 ( α + β ) cos 1 2 ( α − β ) = sin 1 2 ( α − β ) cos 1 2 ( α − β ) / sin 1 2 ( α + β ) cos 1 2
Law_of_tangents
Shortest distance between two points on the surface of a sphere
atan2 ( ( cos ϕ 2 sin Δ λ ) 2 + ( cos ϕ 1 sin ϕ 2 − sin ϕ 1 cos ϕ 2 cos Δ λ ) 2 , sin ϕ 1 sin ϕ 2 + cos ϕ 1 cos ϕ 2 cos Δ λ )
Great-circle_distance
Apparent curve that separates earth from sky
;} then cos γ = cos s R = R R + h . {\displaystyle \cos \gamma =\cos {\frac {s}{R}}={\frac {R}{R+h}}\,.} Solving for s gives s = R cos − 1 R R +
Horizon
Generalization of Pythagorean theorem
hold: cos a = cos b cos c + sin b sin c cos A cos A = − cos B cos C + sin B sin C cos a cos a = cos A + cos B cos C sin
Law_of_cosines
Mathematical metric in geometry
x^{2}+y^{2}+z^{2}=0} with the distance cos − 1 x x ′ + y y ′ + z z ′ x 2 + y 2 + z 2 x ′ 2 + y ′ 2 + z ′ 2 {\displaystyle \cos ^{-1}{\frac {xx'+yy'+zz'}{{\sqrt
Cayley–Klein_metric
Tensor that rotates the reference frame to simplify analysis
cos ( θ ) sin ( θ ) 0 − sin ( θ ) cos ( θ ) 0 0 0 1 ] ⋅ 2 3 [ 1 − 1 2 − 1 2 0 3 2 − 3 2 1 2 1 2 1 2 ] {\displaystyle \to {\begin{bmatrix}\cos
Direct-quadrature-zero transformation
Direct-quadrature-zero_transformation
Crescent shape bounded by two circular arcs
A = 2 Δ + a 2 cos − 1 ( b 2 − a 2 − c 2 2 a c ) − b 2 cos − 1 ( b 2 + c 2 − a 2 2 b c ) , {\displaystyle A=2\Delta +a^{2}\cos ^{-1}\left({\frac
Lune_(geometry)
Principal square root of minus 1
1, ..., n − 1, exp ( 2 π i k + 1 4 n ) = cos ( 4 k + 1 2 n π ) + i sin ( 4 k + 1 2 n π ) . {\displaystyle \exp \left(2\pi i{\frac {k+{\frac {1
Imaginary_unit
Inverse functions of sin, cos, tan, etc.
= − cos ( π 2 + θ ) = − cos ( π 2 − θ ) = − cos ( − π 2 − θ ) = − cos ( − π 2 + θ ) = − cos ( 3 π 2 − θ ) = − cos ( − 3 π 2 + θ ) cos θ
Inverse trigonometric functions
Inverse_trigonometric_functions
Family of curves of the form r^n = a^n cos(nθ)
gives d s d θ = r cos − 1 n θ = a cos − 1 + 1 n n θ . {\displaystyle {\frac {ds}{d\theta }}=r\cos ^{-1}n\theta =a\cos ^{-1+{\tfrac {1}{n}}}n\theta .}
Sinusoidal_spiral
Function in number theory given by Srinivasa Ramanujan
n π + 2 cos 4 7 n π + 2 cos 6 7 n π c 8 ( n ) = 2 cos 1 4 n π + 2 cos 3 4 n π c 9 ( n ) = 2 cos 2 9 n π + 2 cos 4 9 n π + 2 cos 8 9 n π
Ramanujan's_sum
Chance of overcoming the Coulomb barrier
{r/r_{2}}}} and then t = cos ( θ ) {\textstyle t=\cos(\theta )} and solving for θ, giving: 2 r 2 2 m E ℏ [ cos − 1 ( x ) − x 1 − x ] = 2 2 m z ( Z −
Gamow_factor
Theory in soil mechanics
-\cos ^{2}\phi \right)^{1/2}}{\cos \beta +\left(\cos ^{2}\beta -\cos ^{2}\phi \right)^{1/2}}}*cos\beta } K p = cos β + ( cos 2 β − cos 2 ϕ ) 1 /
Rankine's_theory
Study of the deformation of solids that touch each other
2 a 2 [ cos − 1 ( 1 m ) + 1 m 2 m 2 − 1 ] {\displaystyle F^{D}=-2\sigma _{0}m^{2}a^{2}\left[\cos ^{-1}\left({\frac {1}{m}}\right)+{\frac {1}{m^{2}}}{\sqrt
Contact_mechanics
Convex plane region bounded by two circular arcs
centers is A = r 2 cos − 1 ( d 2 + r 2 − R 2 2 d r ) + R 2 cos − 1 ( d 2 + R 2 − r 2 2 d R ) − 2 Δ {\displaystyle A=r^{2}\cos ^{-1}\left({\frac
Lens_(geometry)
Celestial orbit whose trajectory is a conic section in the orbital plane
1 − cos θ 1 + cos θ = 1 − cos E − e 1 − e cos E 1 + cos E − e 1 − e cos E = 1 − e cos E − cos E + e 1 − e cos E + cos E − e = 1 +
Kepler_orbit
Curve traced by a point on a rolling circle
substituting into the x-equation: x = r cos − 1 ( 1 − y r ) − y ( 2 r − y ) , {\displaystyle x=r\cos ^{-1}\left(1-{\frac {y}{r}}\right)-{\sqrt {y(2r-y)}}
Cycloid
Catalan solid with 60 faces
and two acute angles of: cos − 1 − 3 φ 10 ≈ 119 ∘ , cos − 1 φ + 7 10 ≈ 30.5 ∘ . {\displaystyle {\begin{aligned}\cos ^{-1}{\frac {-3\varphi }{10}}&\approx
Triakis_icosahedron
Number, approximately 1.618
1 ; 1 , 1 , 1 , … ] = 1 + 1 1 + 1 1 + 1 1 + 1 ⋱ {\displaystyle \varphi =[1;1,1,1,\dots ]=1+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{1+{{\vphantom {1}}
Golden_ratio
Mathematical functions having established names and notations
( cos ( x ) ) 2 {\displaystyle (\cos(x))^{2}} , but never cos ( cos ( x ) ) {\displaystyle \cos(\cos(x))} cos − 1 ( x ) {\displaystyle \cos ^{-1}(x)}
Special_functions
Movement of an object which leaves at least one point unchanged
equation λ 2 − 2 λ cos θ + 1 = 0 , {\displaystyle \lambda ^{2}-2\lambda \cos \theta +1=0,} which has cos θ ± i sin θ {\displaystyle \cos \theta \pm i\sin
Rotation
Shape formed by intersecting four balls
{s^{3}}{12}}\left(32\pi -81\cos ^{-1}\left({\tfrac {1}{3}}\right)+3{\sqrt {2}}\right)\approx 0.422\,s^{3}.} The surface area is [ 8 π − 18 cos − 1 ( 1 3 ) ] s 2 ≈ 2
Reuleaux_tetrahedron
Shape with seven sides
observation that 2 cos 2 7 π ≈ 1.247 {\displaystyle 2\cos {\tfrac {2}{7}}\pi \approx 1.247} is a zero of the irreducible cubic x3 + x2 − 2x − 1. Consequently
Heptagon
Group of rotations in 3 dimensions
cos ϕ − sin ϕ 0 sin ϕ cos ϕ 0 0 0 1 ] . {\displaystyle R_{z}(\phi )={\begin{bmatrix}\cos \phi &-\sin \phi &0\\\sin \phi &\cos \phi &0\\0&0&1\end{bmatrix}}
3D_rotation_group
{(-1)^{k}}{(2k)!}}={\frac {1}{0!}}-{\frac {1}{2!}}+{\frac {1}{4!}}-{\frac {1}{6!}}+{\frac {1}{8!}}+\cdots =\cos 1} ∑ k = 1 ∞ 1 k 2 + 1 = 1 2 + 1 5 + 1 10
List_of_mathematical_series
Degree of differentiability of a function or map
{\cos \left({\tfrac {1}{x}}\right)}}+2x\sin \left({\tfrac {1}{x}}\right)&{\text{if }}x\neq 0,\\0&{\text{if }}x=0.\end{cases}}} Because cos ( 1 / x
Smoothness
Concept in astrodynamics
Then θ ∞ = cos − 1 ( − 1 / e ) {\displaystyle \theta {_{\infty }}=\cos ^{-1}(-1/e)\,} or e = − 1 / cos θ ∞ {\displaystyle e=-1/\cos \theta {_{\infty
Hyperbolic_trajectory
}}n>1} ∫ 0 ∞ cos a x n d x = 1 n a 1 / n Γ ( 1 n ) cos π 2 n for n > 1 {\displaystyle \int _{0}^{\infty }\cos ax^{n}\ dx={\frac {1}{na^{1/n}}}\Gamma
List_of_definite_integrals
Complex exponential in terms of sine and cosine
a misplaced factor of − 1 {\displaystyle {\sqrt {-1}}} ) as: i x = ln ( cos x + i sin x ) . {\displaystyle ix=\ln(\cos x+i\sin x).} Exponentiating
Euler's_formula
Theorem: (cos x + i sin x)^n = cos nx + i sin nx
number x and integer n, ( cos x + i sin x ) n = cos n x + i sin n x , {\displaystyle {\big (}\cos x+i\sin x{\big )}^{n}=\cos nx+i\sin nx,} where i
De_Moivre's_formula
Polynomial equation of degree 3
u cos θ. The idea is to choose u to make the equation coincide with the identity 4 cos 3 θ − 3 cos θ − cos ( 3 θ ) = 0. {\displaystyle 4\cos ^{3}\theta
Cubic_equation
Color model based on red, green and blue
intensity: HSI color space): I = R + G + B 3 S = 1 − 3 ( R + G + B ) min ( R , G , B ) H = cos − 1 ( ( R − G ) + ( R − B ) 2 ( R − G ) 2 + ( R − B
RGB_color_model
Physical law in fluid mechanics
is; cos θ c = σ 1 cos θ 1 + σ 2 cos θ 2 {\displaystyle \cos \theta _{c}=\sigma _{1}\cos \theta _{1}+\sigma _{2}\cos \theta _{2}} where θ 1 {\displaystyle
Cassie's_law
Problem of finding unknown lengths and angles of a triangle
cos a − cos b cos c sin b sin c , β = arccos cos b − cos c cos a sin c sin a , γ = arccos cos c − cos a cos
Solution_of_triangles
Type of analog or digital filter
yields: 1 + ε 2 T n 2 ( cos ( θ ) ) = 1 + ε 2 cos 2 ( n θ ) = 0. {\displaystyle 1+\varepsilon ^{2}T_{n}^{2}(\cos(\theta ))=1+\varepsilon ^{2}\cos ^{2}(n\theta
Chebyshev_filter
Mathematical functions
z = cos z , d d z cos z = − sin z , sin 0 = 0 , cos 0 = 1 , {\displaystyle {\frac {\mathrm {d} }{\mathrm {d} z}}\sin z=\cos z,\ {\frac
Lemniscate_elliptic_functions
Mathematical concept
understood to signify 1/cos. e, but what is usually written thus, arc (cos.=e)." He admits that some authors use cos.m A for (cos. A)m, but he justifies
Inverse_function
Representation of a type of random process
mid-frequency peak at: f ∗ = 1 2 π cos − 1 ( φ 1 2 − φ 2 ) , {\displaystyle f^{*}={\frac {1}{2\pi }}\cos ^{-1}\left({\frac {\varphi _{1}}{2{\sqrt {-\varphi _{2}}}}}\right)
Autoregressive_model
Analytic function that does not satisfy a polynomial equation
tanh − 1 x f 9 ( x ) = cos x f 10 ( x ) = sin x f 11 ( x ) = tan x f 12 ( x ) = sin − 1 x f 13 ( x ) = cos − 1 x f 14 ( x ) = tan − 1 x f
Transcendental_function
Pair of polynomial sequences
cos α cos β = cos ( α + β ) + cos ( α − β ) . {\displaystyle 2\cos \alpha \,\cos \beta =\cos(\alpha +\beta )+\cos(\alpha -\beta ).} For n = 1
Chebyshev_polynomials
Trigonometric identity relating the sides and angles of a triangle
cos 1 2 ( α − β ) cos 1 2 ( α + β ) = cot 1 2 α cot 1 2 β + 1 cot 1 2 α cot 1 2 β − 1 = cot 1 2 α + cot 1 2 β + 2 cot 1 2 γ cot 1
Law_of_cotangents
Function used in signal processing
a 1 cos ( 2 π n N ) + a 2 cos ( 4 π n N ) − a 3 cos ( 6 π n N ) {\displaystyle w[n]=a_{0}-a_{1}\cos \left({\frac {2\pi n}{N}}\right)+a_{2}\cos \left({\frac
Window_function
Five-pointed star polygon
1 5 π = sin 36 ∘ = 1 4 2 ( 5 − 5 ) = 1 2 φ − 1 5 cos 1 5 π = cos 36 ∘ = 1 4 ( 5 + 1 ) = 1 2 φ sin 2 5 π = sin 72 ∘ = 1 4 2 ( 5 + 5 ) = 1 2
Pentagram
Indefinite integral
x^{n}\ dx={\frac {x^{n+1}}{n+1}}+C;\ n\neq -1} ∫ sin x d x = − cos x + C {\displaystyle \int \sin {x}\ dx=-\cos {x}+C} ∫ cos x d x = sin x +
Antiderivative
gets 1 2 n + 1 ( n + 1 ) ! ∫ 0 1 ( 1 − z 2 ) n + 1 cos ( x z ) d z = 1 2 n + 1 ( n + 1 ) ! ( ( 1 − z 2 ) n + 1 sin ( x z ) x | z = 0 z = 1 ⏞ = 0
Proof_that_pi_is_irrational
Angle between the two sightlines or two objects as viewed from an observer
_{B}\equiv \cos \theta } then: θ = cos − 1 [ sin δ A sin δ B + cos δ A cos δ B cos ( α A − α B ) ] {\displaystyle \theta =\cos ^{-1}\left[\sin
Angular_distance
Retroazimuthal map projection
and cos z = sin φ 1 sin φ + cos φ 1 cos φ cos ( λ − λ 0 ) {\displaystyle \cos z=\sin \varphi _{1}\sin \varphi +\cos \varphi _{1}\cos \varphi
Hammer retroazimuthal projection
Hammer_retroazimuthal_projection
Regular 5-polytope
15 tetrahedral cells, and 6 5-cell facets. It has a dihedral angle of cos−1(1/5), or approximately 78.46°. The 5-simplex is a solution to the problem:
5-simplex
Coordinates comprising a distance and an angle
lies along the polar axis) is given by: r = ℓ 1 − ϵ cos φ {\displaystyle r={\ell \over {1-\epsilon \cos \varphi }}} where ϵ {\displaystyle \epsilon }
Polar_coordinate_system
KTU 1.41 or the Ugaritic Vintage Rites (CAT 1.87 COS 1.95) describe an extensive Ugaritic ritual. It may have been a new year's event. Twice-attested,
KTU_1.41
Orbital mechanics term
convergence is cos − 1 ( 1 / e ) − e 2 − 1 . {\displaystyle \cos ^{-1}(1/e)-{\sqrt {e^{2}-1}}.} The series for when e = 1 {\displaystyle e=1} converges
Kepler's_equation
Field of classical mechanics concerned with the motion of spacecraft
goes to zero when cos θ = − 1 / e {\displaystyle \cos \theta =-1/e} . We denote this value of true anomaly θ ∞ = cos − 1 ( − 1 e ) , {\displaystyle
Orbital_mechanics
Mathematical knot with crossing number 6
= cos ( 2 ϕ ) y = cos ( 7 ϕ + π / 4 ) z = cos ( ϕ + 1.9065 ) + cos ( 7 ϕ + 5.01637 ) {\displaystyle {\begin{aligned}x&=\cos(2\phi )\\y&=\cos(7\phi
62_knot
Test for series convergence
= 1 N ( e i ) n − ∑ n = 1 N ( e − i ) n 2 i = sin 1 + sin N − sin ( N + 1 ) 2 − 2 cos 1 . {\displaystyle \sum _{n=1}^{N}\sin n=\sum _{n=1}^{N}{\frac
Dirichlet's_test
Uniform 6-polytope
cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces. Its dihedral angle is cos−1(1/6), or approximately 80.41°. It can also be called a heptapeton, or hepta-6-tope
6-simplex
Question in geometric probability
= ( a − l cos φ ) ( b − l sin φ ) = a b − b l cos φ − a l | sin φ | + 1 2 l 2 | sin 2 φ | . {\displaystyle F(\varphi )=(a-l\cos \varphi )(b-l\sin
Buffon's_needle_problem
Special triangle in geometry
follows: [1, 1, 1, 4, 2, 1, 2, 1, 5, 2, 1, 3, 1, 1, 390, ...] = 1 + 1 1 + 1 1 + 1 4 + 1 2 + 1 1 + 1 2 + 1 1 + 1 5 + 1 2 + 1 1 + 1 3 + 1 1 + 1 1 + 1 390 +
Calabi_triangle
Special functions of several complex variables
m = 1 ∞ ( 1 − q 2 m ) ( 1 − 2 cos ( 2 π z ) q 2 m − 1 + q 4 m − 2 ) , ϑ 10 ( z ∣ q ) = 2 q 1 4 cos ( π z ) ∏ m = 1 ∞ ( 1 − q 2 m ) ( 1 + 2 cos (
Theta_function
Equation to derive time of sunset and sunrise
angle, then it is apparent that cos H S = − cos H N = cos ( − 180 ∘ − H N ) {\displaystyle \cos H_{S}=-\cos H_{N}=\cos(-180^{\circ }-H_{N})} , which
Sunrise_equation
Relation between sine and cosine
cosine functions. The identity is sin 2 θ + cos 2 θ = 1 {\displaystyle \sin ^{2}\theta +\cos ^{2}\theta =1} , where sin 2 θ {\displaystyle \sin ^{2}\theta
Pythagorean trigonometric identity
Pythagorean_trigonometric_identity
Triply periodic minimal surface
s(y)\sin(z)\\+&\sin(2y)\cos(z)\sin(x)\\+&\sin(2z)\cos(x)\sin(y)]\\-&(1/2)[\cos(2x)\cos(2y)\\+&\cos(2y)\cos(2z)\\+&\cos(2z)\cos(2x)]+0.15=0\end{aligned}}}
Lidinoid
Mathematical equation linking e, i and π
x = π, e i π = cos π + i sin π . {\displaystyle e^{i\pi }=\cos \pi +i\sin \pi .} Since cos π = − 1 {\displaystyle \cos \pi =-1} and sin π = 0
Euler's_identity
Polynomial sequence
sin 1 2 θ ) α + 1 2 ( cos 1 2 θ ) β + 1 2 P n ( α , β ) ( cos θ ) = π − 1 2 2 n + α + β + 1 B ( n + α + 1 , n + β + 1 ) ( ∑ m = 0 M − 1 f m ( θ
Jacobi_polynomials
Type of measurement error
approximately: cos 10 ∘ = 0.9848 , {\displaystyle \cos 10^{\circ }=0.9848,} cos 1 ∘ = 0.999848 , {\displaystyle \cos 1^{\circ }=0.999848,} cos 0.1 ∘ = 0
Cosine_error
Smallest stable circular orbit of a particle
1 + cos ( 2 3 cos − 1 ( ± χ ) ) ) → 4 G M c 2 = 2 R S {\displaystyle r_{\mathrm {ph} }=2{\frac {GM}{c^{2}}}\left(1+\cos \left({\tfrac {2}{3}}\cos
Innermost stable circular orbit
Innermost_stable_circular_orbit
Circle packing
the centres of successive circles is cos − 1 ( − 1 φ ) ≈ 128.173 ∘ . {\displaystyle \cos ^{-1}\left({\frac {-1}{\varphi }}\right)\approx 128.173^{\circ
Coxeter's loxodromic sequence of tangent circles
Coxeter's_loxodromic_sequence_of_tangent_circles
Physical system that responds to a restoring force proportional to displacement
1 e τ ζ 2 − 1 + c 2 e − τ ζ 2 − 1 ) ζ > 1 (overdamping) e − ζ τ ( c 1 + c 2 τ ) = e − τ ( c 1 + c 2 τ ) ζ = 1 (critical damping) e − ζ τ [ c 1 cos
Harmonic_oscillator
Geometric drawing device
( 1 − k ) cos t + l k cos 1 − k k t ] , y ( t ) = R [ ( 1 − k ) sin t − l k sin 1 − k k t ] . {\displaystyle {\begin{aligned}x(t)&=R\left[(1-k)\cos
Spirograph
{\displaystyle x_{n}=-\cos {\frac {n\pi }{N}}} T n ( x m ) = cos ( m n π N + n π ) = ( − 1 ) n cos m n π N {\displaystyle T_{n}(x_{m})=\cos \left({\frac {mn\pi
Discrete_Chebyshev_transform
Solution method for linear differential equations
cos ( 1 ℏ ∫ x a | p ( x ) | d x − π 4 ) ⟸ N ′ 2 | p ( x ) | exp ( − 1 ℏ ∫ a x | p ( x ) | d x ) {\displaystyle {\frac {N'}{\sqrt {|p(x)|}}}\cos {\left({\frac
WKB_approximation
Census-designated place in Connecticut, United States
Cos Cob is a neighborhood and census-designated place in the town of Greenwich, Connecticut, United States. It is located on the Connecticut shoreline
Cos_Cob,_Connecticut
Mathematical artwork
− cos ( π 2 ( k 10000 ) 7 ) ( 1 + 3 2 cos 6 ( π k 20000 ) cos 6 ( 3 π k 20000 ) ) cos 6 ( 41 π k 10000 ) + 1 2 cos 10 ( 3 π k 100000 ) cos 10
Bird_(mathematical_artwork)
Concept in optics
n ^ = ( cos ψ sin μ , sin ψ cos μ , cos μ ) , {\displaystyle \mathbf {\hat {n}} =(\cos \psi \sin \mu ,~\sin \psi \cos \mu ,~\cos \mu ),}
Polarization_mixing
Differentiable function whose derivative is not Riemann integrable
′(x) = 2x sin(1/x) - cos(1/x) for x ≠ 0, which means that in any neighborhood of zero, there are points where f ′ takes values 1 and −1. Thus there are
Volterra's_function
Stability criterion in control theory
ratio can be drawn radially from the origin (with angle cos − 1 ( ζ ) {\displaystyle \cos ^{-1}(\zeta )} from the negative real axis), and lines of constant
Root_locus_analysis
Operation on mathematical functions
understood to signify 1/cos. e, but what is usually written thus, arc (cos.=e)." He admits that some authors use cos.m A for (cos. A)m, but he justifies
Function_composition
Type of 7-polytope
28 5-simplex 6-faces, and 8 6-simplex 7-faces. Its dihedral angle is cos−1(1/7), or approximately 81.79°. It can also be called an octaexon, or octa-7-tope
7-simplex
Quadrilateral whose vertices lie on a circle
a + c b + d = sin 1 2 ( A + B ) cos 1 2 ( C − D ) tan 1 2 θ , a − c b − d = cos 1 2 ( A + B ) sin 1 2 ( D − C ) cot 1 2 θ . {\displaystyle
Cyclic_quadrilateral
System software for supercomputers
The Cray Operating System (COS) is a Cray Research operating system for its now-discontinued Cray-1 (1976) and Cray X-MP supercomputers. It succeeded the
Cray_Operating_System
Topics referred to by the same term
secant (see below for ambiguity) sec−1x = sec−1(x), sometimes interpreted as (sec(x))−1 = 1/sec(x) = cos(x) or cosine of x, the multiplicative inverse
Sec-1
Dangerous type of climbing anchor
t 2 cos ( 1 2 θ B o t t o m ) ≈ W e i g h t × 0.5 + O ( θ B o t t o m 2 ) {\displaystyle F_{\mathrm {Anchor} }={\frac {\mathrm {Weight} }{2\cos({\frac
American_death_triangle
COS 1
COS 1
COS 1
COS 1
COS 1
COS 1
COS 1
COS 1
COS 1