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Topics referred to by the same term
Sin-1, SIN-1, sin-1, or sin−1 may refer to: SIN-1, Linsidomine (3-morpholinosydnonimine), a drug acting as a vasodilator sin x−1 = sin(x)−1 = −(1−sin(x))
Sin-1
Transgression against divine law
The term sin originates from the Old English synn, tracing back to Proto-Germanic and Proto-Indo-European roots meaning "being" or "truly guilty", implying
Sin
Pathological topological space
defined as the graph of the function sin 1 x {\displaystyle \sin {\tfrac {1}{x}}} on the half-open interval ( 0 , 1 ] {\displaystyle (0,1]} , together
Topologist's_sine_curve
Functions of an angle
angle: sin 0 = sin 0 ∘ = 0 2 = 0 sin π 6 = sin 30 ∘ = 1 2 = 1 2 sin π 4 = sin 45 ∘ = 2 2 = 1 2 sin π 3 = sin 60 ∘ = 3 2 sin π 2 = sin 90
Trigonometric_functions
Property of all triangles on a Euclidean plane
says: sin A sin a = sin B sin b = sin C sin c . {\displaystyle {\frac {\sin A}{\sin a}}={\frac {\sin B}{\sin b}}={\frac {\sin C}{\sin c}}.}
Law_of_sines
Fundamental trigonometric functions
the law states, sin α a = sin β b = sin γ c . {\displaystyle {\frac {\sin \alpha }{a}}={\frac {\sin \beta }{b}}={\frac {\sin \gamma }{c}}.} This
Sine_and_cosine
Number which when multiplied by x equals 1
1 sin x = ( sin x ) − 1 {\displaystyle {\tfrac {1}{\sin x}}=(\sin x)^{-1}} is the cosecant of x, and not the inverse sine of x denoted by sin−1 x
Multiplicative_inverse
Mathematical concept
write sin.2 x for sin. sin. x, log.3 x for log. log. log. x. Just as we write d−n V=∫n V, we may write similarly sin.−1 x=arc (sin.=x), log.−1 x.=cx.
Inverse_function
identity: sin 2 θ + cos 2 θ = 1 , {\displaystyle \sin ^{2}\theta +\cos ^{2}\theta =1,} where sin 2 θ {\displaystyle \sin ^{2}\theta } means ( sin θ
List of trigonometric identities
List_of_trigonometric_identities
Attribute of a mathematical function
us sin z z ( z − 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
Residue_(complex_analysis)
1977 studio album by Judas Priest
Sin After Sin is the third studio album by English heavy metal band Judas Priest, released on 8 April 1977 by Columbia Records, and on 22 April in the
Sin_After_Sin
Inverse functions of sin, cos, tan, etc.
sin ( y ) = x {\displaystyle \sin(y)=x} ; for example, sin ( 0 ) = 0 , {\displaystyle \sin(0)=0,} but also sin ( π ) = 0 , {\displaystyle \sin(\pi
Inverse trigonometric functions
Inverse_trigonometric_functions
Method for finding limits in calculus
function, − 1 ≤ sin ( 1 x ) ≤ 1. {\displaystyle -1\leq \sin \left({\tfrac {1}{x}}\right)\leq 1.} It follows that − x 2 ≤ x 2 sin ( 1 x ) ≤ x 2 {\displaystyle
Squeeze_theorem
Integer
it is not a unit in F. Mathematics portal Balanced ternary For example, sin−1(x) is a notation for the arcsine function. Nathanson, Melvyn B. (2000).
−1
Geometry of figures on the surface of a sphere
formula sin A sin a = sin B sin b = sin C sin c . {\displaystyle {\frac {\sin A}{\sin a}}={\frac {\sin B}{\sin b}}={\frac {\sin C}{\sin c}}.}
Spherical_trigonometry
Mathematical function whose derivative exists
the function f ( x ) = { x 2 sin ( 1 / x ) if x ≠ 0 0 if x = 0 {\displaystyle f(x)\;=\;{\begin{cases}x^{2}\sin(1/x)&{\text{ if }}x\neq 0\\0&{\text{
Differentiable_function
Atmospheric optical phenomenon
sin − 1 [ n sin ( π 3 − sin − 1 sin ( π / 3 − α ) n ) ] − α . {\displaystyle \theta =\sin ^{-1}\left[n\sin \left({\frac {\pi }{3}}-\sin ^{-1}{\frac
22°_halo
In Islam, sin (dhanb) is an action violating the laws of God (sharīʿah) and an important subject in Islamic ethics. The Quran describes sins throughout
Islamic_views_on_sin
Concept in real analysis
( x ( 1 − x ) ) 2 sin ( 1 π x ( 1 − x ) ) {\displaystyle g(x)=(x(1-x))^{2}\operatorname {sin} ({\frac {1}{\pi x(1-x)}})} for all x ∈ ( 0 , 1 ) {\displaystyle
Continuously differentiable function of a single real variable
Continuously_differentiable_function_of_a_single_real_variable
Sin which will never be forgiven by God
In Christian hamartiology, eternal sin, the unforgivable sin, unpardonable sin, or ultimate sin is the sin which will not or will never be forgiven by
Eternal_sin
Trigonometric values in terms of square roots and fractions
identities, such as sin ( π 2 − θ ) = cos ( θ ) , sin ( 2 π + θ ) = sin ( π − θ ) = sin ( θ ) , sin ( π + θ ) = sin ( − θ ) = − sin ( θ ) , cos
Exact_trigonometric_values
Relationship between derivatives and integrals
sin ( 1 x ) − 1 x cos ( 1 x ) x ≠ 0 0 x = 0 {\displaystyle f(x)={\begin{cases}\sin \left({\frac {1}{x}}\right)-{\frac {1}{x}}\cos \left({\frac {1}{x}}\right)&x\neq
Fundamental theorem of calculus
Fundamental_theorem_of_calculus
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
Characteristic of a programming language
expression) -> "(* (SIN 1.1) (SIN 2.03))" Read the expression from a string (read-from-string "(* (SIN 1.1) (SIN 2.03))") -> (* (SIN 1.1) (SIN 2.03)) ; returns
Homoiconicity
Degree of differentiability of a function or map
x sin ( 1 x ) if x ≠ 0 , 0 if x = 0. {\displaystyle g'(x)={\begin{cases}-{\mathord {\cos \left({\tfrac {1}{x}}\right)}}+2x\sin \left({\tfrac {1
Smoothness
Set of vices in Christian theology
The seven deadly sins (also known as the capital vices or cardinal sins) function as a grouping of major vices within the teachings of Christianity. They
Seven_deadly_sins
Distance along a curve
( r sin θ cos ϕ , r sin θ sin ϕ , r cos θ ) . {\displaystyle \mathbf {x} (r,\theta ,\phi )=(r\sin \theta \cos \phi ,r\sin \theta \sin \phi
Arc_length
Orbital mechanics term
sin E ] . {\displaystyle t(x)={\frac {1}{2}}\left[E-\sin E\right].} and then making the substitution E = 2 sin − 1 ( x ) . {\displaystyle E=2\sin
Kepler's_equation
Limit of the tangent line at a point that tends to infinity
the same place. An example is f ( x ) = 1 x + sin ( 1 x ) {\displaystyle f(x)={\tfrac {1}{x}}+\sin({\tfrac {1}{x}})\quad } at x = 0 {\displaystyle \quad
Asymptote
2014 Marvel comic book series
"Original Sin" is a 2014 comic book storyline published by Marvel Comics. The story features Nick Fury and the Avengers investigating the murder of Uatu
Original_Sin_(comics)
Indefinite integral
Fresnel function ∫ sin x 2 d x , {\displaystyle \int \sin x^{2}\,dx,} the sine integral ∫ sin x x d x , {\displaystyle \int {\frac {\sin x}{x}}\,dx,} the
Antiderivative
Problem of finding unknown lengths and angles of a triangle
d: sin d = sin b sin α = tan b 1 + tan 2 b sin α . {\displaystyle \sin d=\sin b\sin \alpha ={\frac {\tan b}{\sqrt {1+\tan ^{2}b}}}\sin \alpha
Solution_of_triangles
Expression in mathematical analysis
diverge, and not merely diverge to infinity. For example, x sin ( 1 / x ) / x {\displaystyle x\sin(1/x)/x} . So the fact that two functions f ( x ) {\displaystyle
Indeterminate_form
Four-sided polygon
identities: sin A + sin B + sin C + sin D = 4 sin 1 2 ( A + B ) sin 1 2 ( A + C ) sin 1 2 ( A + D ) {\displaystyle \sin A+\sin B+\sin C+\sin D=4\sin
Quadrilateral
Comic books series by Frank Miller
City. A film adaptation of Sin City, co-directed by Robert Rodriguez and Miller, was released on April 1, 2005. A sequel, Sin City: A Dame to Kill For,
Sin_City
Solution method for linear differential equations
\left(-Q_{1}(x)\right)&{\text{if }}x<x_{1}\\\sin \left(Q_{1}(x)-{\frac {\pi }{4}}\right)&{\text{if }}x_{2}>x>x_{1}\\\end{cases}}} where Q 1 ( x ) = 1 ℏ ∫ x x 1
WKB_approximation
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
Flight or sailing route along the shortest path between two points on a globe's surface
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 ϕ 2
Great-circle_navigation
Condition when the angle of deviation is minimal in a prism
− A + sin − 1 ( n ⋅ sin ( A − sin − 1 ( sin i n ) ) ) = f ( i ) {\displaystyle \delta =i-A+\sin ^{-1}\left(n\cdot \sin \left(A-\sin ^{-1}\left({\frac
Minimum_deviation
Plane figure, bounded by circle
1 = 0. {\displaystyle s^{2}-2qs\,{\textrm {cos}}\theta +q^{2}\!-\!1=0.} Hence b ( q ) = 4 3 π ∫ 0 sin − 1 1 q { 3 q 2 cos 2 θ 1 − q 2 sin 2 θ + ( 1 −
Disk_(mathematics)
Operation on mathematical functions
write sin.2 x for sin. sin. x, log.3 x for log. log. log. x. Just as we write d−n V=∫n V, we may write similarly sin.−1 x=arc (sin.=x), log.−1 x.=cx.
Function_composition
Differentiable function whose derivative is not Riemann integrable
function defined by f ( x ) = { x 2 sin ( 1 / x ) , x ≠ 0 0 , x = 0. {\displaystyle f(x)={\begin{cases}x^{2}\sin(1/x),&x\neq 0\\0,&x=0.\end{cases}}} The
Volterra's_function
Quantum mechanics concept
− sin − 1 ( k ℏ 2 m V 1 ) − sin − 1 ( k ℏ 2 m V 2 ) {\displaystyle ka=n\pi -\sin ^{-1}\left({\frac {k\hbar }{\sqrt {2mV_{1}}}}\right)-\sin ^{-1}\left({\frac
Finite_potential_well
Shortest distance between two points on the surface of a sphere
Δ σ c = 2 sin 2 1 2 Δ ϕ + cos ϕ 1 cos ϕ 2 sin 2 1 2 Δ λ = 2 ( sin 1 2 Δ λ cos 1 2 ( ϕ 1 + ϕ 2 ) ) ) 2 + ( cos 1 2 Δ λ sin 1 2 Δ ϕ ) )
Great-circle_distance
Correspondence between quaternions and 3D rotations
= 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 2 sin α 2 {\displaystyle
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Performing order of mathematical operations
case of sin x = sin(x) and sin π = sin(π). Traditionally this convention extends to monomials; thus, sin 3x = sin(3x) and even sin 1/2xy = sin(1/2xy)
Order_of_operations
Programming paradigm
= cos x + i sin x , {\displaystyle e^{ix}=\cos x+i\sin x,} expressed tacitly: cos =: 2 o. ] sin =: 1 o. ] Euler =: ^@j. = cos j. sin (j. is a primitive
Tacit_programming
Physical system that responds to a restoring force proportional to displacement
( t ) = 1 − e − ζ ω 0 t sin ( 1 − ζ 2 ω 0 t + φ ) sin ( φ ) , {\displaystyle x(t)=1-e^{-\zeta \omega _{0}t}{\frac {\sin \left({\sqrt {1-\zeta ^{2}}}\omega
Harmonic_oscillator
Geographic coordinate specifying north-south position
tan − 1 [ ( 1 + sin ϕ 1 − sin ϕ ) ( 1 − e sin ϕ 1 + e sin ϕ ) e ] 1 2 − π 2 = 2 tan − 1 [ tan ( ϕ 2 + π 4 ) ( 1 − e sin ϕ 1 + e sin ϕ
Latitude
Group of rotations in 3 dimensions
that α ′ = c ′ sin c ′ sin a ′ a ′ cos b ′ β ′ = c ′ sin c ′ sin b ′ b ′ cos a ′ γ ′ = 1 2 c ′ sin c ′ sin a ′ a ′ sin b ′ b ′ . {\displaystyle
3D_rotation_group
Relates the tangent of half of an angle to trigonometric functions of the entire angle
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 ∓ sin θ
Tangent_half-angle_formula
Relates tangents of two angles of a triangle and the lengths of the opposing sides
sin α + d sin β = sin α − sin β sin α + sin β . {\displaystyle {\frac {a-b}{a+b}}={\frac {d\sin \alpha -d\sin \beta }{d\sin \alpha +d\sin
Law_of_tangents
Trigonometric relation between sides and angles of a triangle
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
Success in any competition
Tarsus presents the resurrection of Christ as a victory over Death and Sin (1 Corinthians 15:55). The Latinate English-language word victory (from the
Victory
Amar-Sin 18. Šarrum-bani to Šu-Sin 19. Šu-Sin to Šarrum-bani 1 20. Šu-Sin to Lu-Nanna and Šarrum-bani 1 21. Išbi-Erra to Ibbi-Sin 1 22. Ibbi-Sin to Išbi-Erra
Correspondence of the Kings of Ur
Correspondence_of_the_Kings_of_Ur
Circular slide rule used in aviation
correction angle formula is: Δ a = { sin − 1 ( V w V a sin ( w − d ) ) , in radians; 180 ∘ π sin − 1 ( V w V a sin ( π 180 ∘ ( w − d ) ) ) , in degrees
E6B
Arithmetic operation
So, sin 2 x {\displaystyle \sin ^{2}x} and sin 2 ( x ) {\displaystyle \sin ^{2}(x)} both mean sin ( x ) ⋅ sin ( x ) {\displaystyle \sin(x)\cdot
Exponentiation
Maximally symmetric Lorentzian manifold with a positive cosmological constant
x 0 = α sin ( 1 α χ ) sinh ( 1 α t ) cosh ξ , x 1 = α cos ( 1 α χ ) , x 2 = α sin ( 1 α χ ) cosh ( 1 α t ) , x i = α z i sin ( 1 α χ ) sinh
De_Sitter_space
Type of mathematical integrals
( x ) = sin ( x ) / x {\displaystyle \operatorname {sinc} (x)=\sin(x)/x} for x {\displaystyle x} not equal to 0, and sinc ( 0 ) = 1 {\displaystyle
Borwein_integral
Path of a moving object
R=2v^{2}\cos(\theta )\sin(\theta )/g=v^{2}\sin(2\theta )/g\,.} This equation can be rearranged to find the angle for a required range θ = 1 2 sin − 1 ( g R v 2
Trajectory
Map projection system
\right)\sinh \left(2j\eta \right),} χ = sin − 1 ( sin ξ ′ cosh η ′ ) . {\displaystyle \chi =\sin ^{-1}\left({\frac {\sin \xi '}{\cosh \eta '}}\right).} The
Universal Transverse Mercator coordinate system
Universal_Transverse_Mercator_coordinate_system
2006 single by Robbie Williams
"Sin Sin Sin" "Our Love" UK DVD single "Sin Sin Sin" (video) "Our Love" (audio) "Sin Sin Sin" (Chris Coco's on Tour mix audio) Making of "Sin Sin Sin"
Sin_Sin_Sin
All derivatives have the intermediate value property
topologist's sine curve function: x ↦ { sin ( 1 / x ) for x ≠ 0 , 0 for x = 0. {\displaystyle x\mapsto {\begin{cases}\sin(1/x)&{\text{for }}x\neq 0,\\0&{\text{for
Darboux's_theorem_(analysis)
Characteristic of conic sections
the eccentricity is e = sin β sin α , 0 < α < 90 ∘ , 0 ≤ β ≤ 90 ∘ , {\displaystyle e={\frac {\sin \beta }{\sin \alpha }},\ \ 0<\alpha <90^{\circ
Eccentricity_(mathematics)
Class of mathematical function
The function f ( z ) = csc 1 z = 1 sin ( 1 z ) {\displaystyle f(z)=\csc {\frac {1}{z}}={\frac {1}{\sin \left({\frac {1}{z}}\right)}}} is not meromorphic
Meromorphic_function
2-dimensional orthogonal coordinate system based on Apollonian circles
obtain 2 sin 1 2 ( σ + i τ ) sin 1 2 ( σ − i τ ) = cos σ − cosh τ , {\displaystyle 2\sin {\tfrac {1}{2}}{\bigl (}\sigma +i\tau {\bigr )}\sin {\tfrac
Bipolar_coordinates
2005 American crime thriller film
Sin City (also known as Frank Miller's Sin City) is a 2005 American neo-noir crime anthology film directed by Robert Rodriguez and Frank Miller based on
Sin_City_(film)
Interpolation with trigonometric polynomials
1 2 ( 2 K x − α k + ∑ m = 0 , m ≠ k 2 K − 1 x m ) + ∑ m = − ( K − 1 ) K − 1 c k e i m x 2 N sin 1 2 ( x k − α k ) ∏ m = 0 , m ≠ k 2 K − 1 sin 1 2
Trigonometric_interpolation
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
Function used in computer graphics
p 1 ; t ) = sin [ ( 1 − t ) Ω ] sin Ω p 0 + sin [ t Ω ] sin Ω p 1 . {\displaystyle \operatorname {slerp} (p_{0},p_{1};t)={\frac {\sin {[(1-t)\Omega
Spherical linear interpolation
Spherical_linear_interpolation
Decompositions of inner product spaces into orthonormal bases
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 = ∫ − 1 1 x cos x d x ∫ − 1 1 x 2 d x =
Generalized_Fourier_series
Mathematical functions
analog sin ( u + v ) sin ( u − v ) = sin 2 u − sin 2 v . {\displaystyle \sin(u+v)\sin(u-v)=\sin ^{2}u-\sin ^{2}v.} Bisection formulas: cl 2 1 2 x
Lemniscate_elliptic_functions
Matrix representing a Euclidean rotation
α sin β sin γ − sin α cos γ cos α sin β cos γ + sin α sin γ sin α cos β sin α sin β sin γ + cos α cos γ sin α sin
Rotation_matrix
Relation between sine and cosine
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 } means ( sin θ )
Pythagorean trigonometric identity
Pythagorean_trigonometric_identity
Mathematical operation
M − 1 ( sin ( s φ ) sin ( 2 θ 0 s ) ; s → r ) = 1 2 θ 0 r m sin ( m φ ) 1 + 2 r m cos ( m φ ) + r 2 m {\displaystyle {\mathcal {M}}^{-1}\left({\frac
Mellin_transform
Sinful act which can lead to damnation
A mortal sin (Latin: peccātum mortāle) is, in Christian theology, a gravely sinful act that leads to damnation if a person does not repent before death
Mortal_sin
Oliver Sin (born 18 May 1985) is a Hungarian artist. Born in Budapest, Hungary, Oliver Sin was raised with his sister Judit by his father, Zoltan Sin, a ropemaker
Oliver_Sin
Special mathematical function
π / 2 1 1 − x 2 sin ( φ ) 2 d φ = ∫ 0 1 2 ( y 2 + 1 ) 2 − 4 x 2 y 2 d y {\displaystyle K(x)=\int _{0}^{\pi /2}{\frac {1}{\sqrt {1-x^{2}\sin(\varphi
Nome_(mathematics)
Measurement of distance
1 / 2 sinh − 1 | κ | r , if κ < 0 (a negatively curved ‘hyperbolic’ universe) r , if κ = 0 (a spatially flat universe) | κ | − 1 / 2 sin − 1
Comoving_and_proper_distances
Five-pointed star polygon
gnomon. sin 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
Pentagram
Type of uncertainty of meaning where several interpretations are possible
writing sin 2 ( α / 2 ) {\displaystyle \sin ^{2}(\alpha /2)} or 1 2 sin 2 α {\textstyle {\frac {1}{2}}\sin ^{2}\alpha } . The expression sin − 1 α {\displaystyle
Ambiguity
Function that, applied twice, gives another function
{\displaystyle g(x)=x/(2-x)} . sin[2](x) = sin(sin(x)) [red curve] sin[1](x) = sin(x) = rin(rin(x)) [blue curve] sin[1/2](x) = rin(x) = qin(qin(x)) [orange
Functional_square_root
Doctrine that the unsaved cease to exist at death
immortality. Thus those who do not repent of their sins are eventually destroyed because of the incompatibility of sin with God's holy character. Seventh-day Adventists
Annihilationism
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
Polynomial function of degree two
{\displaystyle \theta } is given by θ = 1 π sin − 1 ( x 0 1 / 2 ) {\displaystyle \theta ={\tfrac {1}{\pi }}\sin ^{-1}(x_{0}^{1/2})} . For rational θ {\displaystyle
Quadratic_function
2014 Japanese anime TV series
The Seven Deadly Sins (Japanese: 七つの大罪, Hepburn: Nanatsu no Taizai) is an anime television series based on a Japanese fantasy manga series of the same
The Seven Deadly Sins season 1
The_Seven_Deadly_Sins_season_1
Vector field in Riemannian geometry
= sin − 1 ( sin t sin τ 1 + cos 2 t tan 2 ( τ / 2 ) ) . {\displaystyle d(\gamma _{0}(t),\gamma _{\tau }(t))=\sin ^{-1}{\bigg (}\sin t\sin \tau
Jacobi_field
3 intersections of any triangle's adjacent angle trisectors form an equilateral triangle
R sin 1 3 A sin 1 3 B sin 1 3 C , {\displaystyle a^{\prime }=b^{\prime }=c^{\prime }=8R\,\sin {\tfrac {1}{3}}A\,\sin {\tfrac {1}{3}}B\,\sin {\tfrac
Morley's_trisector_theorem
1987 single by Pet Shop Boys
"It's a Sin" (also stylised "It's a sin.") is a song by English synth-pop duo Pet Shop Boys from their second studio album, Actually (1987). Written by
It's_a_Sin
Nonempty compact connected metric space
that is the union of the graph of the function f(x) = sin(1/x), 0 < x ≤ 1 with the segment −1 ≤ y ≤ 1 of the y-axis. It is a one-dimensional continuum that
Continuum_(topology)
public domain. Grace Greater Than All Our Sin 1 Marvelous grace of our loving Lord, Grace that exceeds our sin and our guilt! Yonder on Calvary's mount
Grace Greater Than All Our Sin
Grace_Greater_Than_All_Our_Sin
Ahluwalia (1999): U = [ cos θ sin θ 0 − 1 2 sin θ 1 2 cos θ 1 2 1 2 sin θ − 1 2 cos θ 1 2 ] . {\displaystyle
Tribimaximal_mixing
is of class 1. An example of a differentiable function whose derivative is not continuous (at x = 0) is the function equal to x 2 sin ( 1 / x ) {\displaystyle
Baire_function
Theorem on rational values of the sine
number are: sin 0 ∘ = 0 , sin 30 ∘ = 1 2 , sin 90 ∘ = 1. {\displaystyle {\begin{aligned}\sin 0^{\circ }&=0,\\[10pt]\sin 30^{\circ }&={\frac {1}{2}},\\[10pt]\sin
Niven's_theorem
Result of repeatedly applying a mathematical function
write sin.2 x for sin. sin. x, log.3 x for log. log. log. x. Just as we write d−n V=∫n V, we may write similarly sin.−1 x=arc (sin.=x), log.−1 x.=cx.
Iterated_function
Quadrilateral whose vertices lie on a circle
as K = 1 2 ( a b + c d ) sin B {\displaystyle K={\tfrac {1}{2}}(ab+cd)\sin {B}} or K = 1 2 ( a d + b c ) sin A {\displaystyle K={\tfrac {1}{2}}(ad+bc)\sin
Cyclic_quadrilateral
Particular knot energy
[ 1 ( 2 sin 1 2 ( x − y ) ) 2 − 1 | x − y | 2 ] d y = 4 π ∫ 0 π [ 1 ( 2 sin ( y / 2 ) ) 2 − 1 | y | 2 ] d y = 2 π ∫ 0 π / 2 [ 1 sin 2 y − 1 | y
Möbius_energy
Azimuth angle of the Sun's position
= sin−1 y or x = arcsin y, has multiple solutions, only one of which will be correct. sin ϕ s = − sin h cos δ sin θ s . {\displaystyle \sin \phi
Solar_azimuth_angle
Number with a real and an imaginary part
z_{1}z_{2}=r_{1}r_{2}(\cos(\varphi _{1}+\varphi _{2})+i\sin(\varphi _{1}+\varphi _{2})).} z 1 z 2 = r 1 r 2 ( cos ( φ 1 − φ 2 ) + i sin ( φ 1 − φ
Complex_number
Complex exponential in terms of sine and cosine
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 this
Euler's_formula
SIN 1
SIN 1
Female
Norse
Variant spelling of Old Norse Siv, SIF means "bride."
Boy/Male
Anglo Saxon
Sin.
Female
Japanese
(欽) Japanese unisex name KIN means "gold."
Female/Male/Unisex
Korean
Korean name SHIN means "faith, trust." Compare with another form of Shin.
Female
Welsh
 Variant spelling of Welsh Linn, LIN means "lake" or "waterfall." Compare with another form of Lin.
Female
Welsh
Feminine form of Welsh Siôn, SIÔNED means "God is gracious." This is the Welsh form of English Janet.
Female
Turkish
Turkish name ESIN means "inspiration."
Biblical
forsaking sin
Female
Finnish
Finnish name SINI means "blue."
Boy/Male
Biblical
Forsaking sin.
Male
Japanese
(1-晋, 2-信, 3-紳, 4-心, 5-慎, 6-新, 7-進, 8-真) Japanese name SHIN means 1) "advancing," 2) "belief," 3) "gentleman," 4) "heart," 5) "humble," 6) "new," 7) "progressive," and 8) "true." Compare with another form of Shin.
Biblical
a bush, enmity
Girl/Female
Hindu, Indian
Without Sin
Girl/Female
Australian, Biblical, Kurdish
Bush
Male
English
Pet form of Middle English Sibald, SIB means "bold victory."
Male
English
Masculine short form of English unisex Sidney, SID means "St. Denis."
Male
Babylonian
, I trust in Sin!
Female
Norse
Old Norse name derived from the word sif, SIV means "bride, wife." In mythology, this is the name of the wife of Þórr.
Male
English
Short form of English Simon, SIM means "hearkening."
Female
Japanese
(凛) Japanese name RIN means "cold, dignified, severe."Â
SIN 1
SIN 1
Boy/Male
Hindu, Indian
Friend of Religion
Boy/Male
Hindu
Sri venkateswara, Mahavirat. the famous name and fame in world. suitable to boys
Boy/Male
Bengali, Hindu, Indian, Kannada, Marathi, Oriya, Telugu
An Ancient
Boy/Male
Muslim
Sky
Girl/Female
Indian
Calm, Sweet
Girl/Female
Muslim/Islamic
Fragrant
Boy/Male
Hindu, Indian
Fortunate; Auspicious
Girl/Female
Biblical
Ear of corn, stream or flood.
Female
Greek
(Θυία) Greek name THYIA means "Bacchic frenzy." In mythology, this is the name of a nymph of Mount Parnassus loved by Apollo. She is said to have been the first to have celebrated orgies in honor of Dionysos. She was the mother of Makedon by Zeus.Â
Boy/Male
Indian, Telugu
Future
SIN 1
SIN 1
SIN 1
SIN 1
SIN 1
v. t.
To expose to the sun's rays; to warm or dry in the sun; as, to sun cloth; to sun grain.
v. t.
To cause to sink; to put under water; to immerse or submerge in a fluid; as, to sink a ship.
n.
A sin offering; a sacrifice for sin.
n.
An offense, in general; a violation of propriety; a misdemeanor; as, a sin against good manners.
v. t.
To protract; to spend by delays; as, to spin out the day in idleness.
sing.
A collection of the Holy Scriptures in six languages or six versions in parallel columns; particularly, the edition of the Old Testament published by Origen, in the 3d century.
n.
To violate human rights, law, or propriety; to commit an offense; to trespass; to transgress.
n.
Transgression of the law of God; disobedience of the divine command; any violation of God's will, either in purpose or conduct; moral deficiency in the character; iniquity; as, sins of omission and sins of commission.
n.
A vessel made of skin, used for holding liquids. See Bottle, 1.
n.
That which resembles a pin in its form or use
n.
A hole or low place in land or rock, where waters sink and are lost; -- called also sink hole.
v. i.
To fall by, or as by, the force of gravity; to descend lower and lower; to decline gradually; to subside; as, a stone sinks in water; waves rise and sink; the sun sinks in the west.
n.
An embodiment of sin; a very wicked person.
n.
An elementary substance found as an oxide in the mineral cassiterite, and reduced as a soft white crystalline metal, malleable at ordinary temperatures, but brittle when heated. It is not easily oxidized in the air, and is used chiefly to coat iron to protect it from rusting, in the form of tin foil with mercury to form the reflective surface of mirrors, and in solder, bronze, speculum metal, and other alloys. Its compounds are designated as stannous, or stannic. Symbol Sn (Stannum). Atomic weight 117.4.
n.
To depart voluntarily from the path of duty prescribed by God to man; to violate the divine law in any particular, by actual transgression or by the neglect or nonobservance of its injunctions; to violate any known rule of duty; -- often followed by against.
n.
To represent by a sign; to make known in a typical or emblematic manner, in distinction from speech; to signify.
a.
To gain by superiority in competition or contest; to obtain by victory over competitors or rivals; as, to win the prize in a gate; to win money; to win a battle, or to win a country.
v. t.
To drink or imbibe in small quantities; especially, to take in with the lips in small quantities, as a liquid; as, to sip tea.
adv., prep., & conj.
Old form of Since.