AI & ChatGPT searches , social queriess for SINC FUNCTION
Search references for SINC FUNCTION. Phrases containing SINC FUNCTION
See searches and references containing SINC FUNCTION!
Search references for SINC FUNCTION. Phrases containing SINC FUNCTION
See searches and references containing SINC FUNCTION!SINC FUNCTION
Special mathematical function defined as sin(x)/x
engineering, the sinc function (/ˈsɪŋk/ SINK), denoted by sinc(x), is defined as either sinc ( x ) = sin x x . {\displaystyle \operatorname {sinc} (x)={\frac
Sinc_function
Ideal low-pass filter or averaging filter
In signal processing, a sinc filter can refer to either a sinc-in-time filter whose impulse response is a sinc function and whose frequency response is
Sinc_filter
Function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way
Applications to Radar" as an ideal cutout operator, together with the sinc function as an ideal interpolation operator, and their counter operations which
Rectangular_function
Form of error in digital signals; spurious signals near sharp transitions
time domain, the cause of this type of ringing is the ripples in the sinc function, which is the impulse response (time domain representation) of a perfect
Ringing_artifacts
Technique in signal processing
copy of the Lanczos kernel, which is a sinc function windowed by the central lobe of a second, longer, sinc function. The sum of these translated and scaled
Lanczos_resampling
Sufficiency theorem for reconstructing signals from samples
sinc function scaled to the sample value, x ( n T ) . {\displaystyle x(nT).} Subsequently, the sinc functions are summed into a continuous function.
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Oscillatory error in Fourier series
}{N}}\right)\right)} If we introduce the normalized sinc function sinc ( x ) = sin ( π x ) π x {\textstyle \operatorname {sinc} (x)={\frac {\sin(\pi x)}{\pi x}}} for
Gibbs_phenomenon
Signal (re-)construction algorithm
Whittaker–Shannon interpolation formula or sinc interpolation is a method to construct a continuous-time bandlimited function from a sequence of real numbers. The
Whittaker–Shannon interpolation formula
Whittaker–Shannon_interpolation_formula
Method of evaluating certain integrals along paths in the complex plane
{\displaystyle F(s)} . The following integral gives a representation the sinc function: sin x x = 1 π ∫ 0 ∞ cos ( x t ) d t {\displaystyle {\frac {\sin
Contour_integration
Function used in signal processing
product of two sinc functions vs. an Airy function, respectively. Conventions: w 0 ( x ) {\displaystyle w_{0}(x)} is a zero-phase function (symmetrical
Window_function
Functions of an angle
of periodic functions Polar sine – a generalization to vertex angles Sinc function Klein, Felix (1924) [1902]. "Die goniometrischen Funktionen". Elementarmathematik
Trigonometric_functions
Type of signal filter
signal by the rectangular function in the frequency domain or, equivalently, convolution with its impulse response, a sinc function, in the time domain. However
Low-pass_filter
Generalized function whose value is zero everywhere except at zero
origin. Other approximations to the identity of this kind include the sinc function (used widely in electronics and telecommunications) η ε ( x ) = 1 π
Dirac_delta_function
Integral of sin(x)/x from 0 to infinity
Gustav Lejeune Dirichlet, one of which is the improper integral of the sinc function over the positive real number line. ∫ 0 ∞ sin x x d x = π 2 . {\displaystyle
Dirichlet_integral
When a signal or function exceeds its target
step function by the integral up to a certain frequency, which yields the sine integral. This can be interpreted as convolution with the sinc function; in
Overshoot_(signal)
Family of solutions to related differential equations
zeroth spherical Bessel function j0(x) is also known as the (unnormalized) sinc function. The first few spherical Bessel functions are: j 0 ( x ) = sin
Bessel_function
\right)\right],} in terms of the normalized sinc function: sinc x = sin π x π x . {\displaystyle \operatorname {sinc} x={\frac {\sin \pi x}{\pi x}}.} a k
Sigma_approximation
Fundamental trigonometric functions
generalization to vertex angles Proofs of trigonometric identities Sinc function Sine and cosine transforms Sine integral Sine quadrant Sine wave Sine–Gordon
Sine_and_cosine
Tent function, often used in signal processing
{a}^{2}\ \mathrm {sinc} ^{2}(a\cdot f)={a}\ \mathrm {sinc} ^{2}(a\cdot f).\end{aligned}}} Källén function, also known as triangle function Tent map Triangular
Triangular_function
Mathematical transform that expresses a function of time as a function of frequency
)}=\operatorname {sinc} (\xi )} is sometimes used to express that the Fourier transform of a rectangular function is a sinc function, or F ( f ( x + x
Fourier_transform
Undefined point on a holomorphic function which can be made regular
the resulting function is regular in a neighbourhood of that point. For instance, the (unnormalized) sinc function, as defined by sinc ( z ) = sin z
Removable_singularity
Largest and smallest value taken by a function at a given point
Paul. "Minimization and maximization refresher". "The Unnormalized Sinc Function Archived 2017-02-15 at the Wayback Machine", University of Sydney For
Maximum_and_minimum
Extension of the factorial function
(-z)={\frac {\pi z}{\sin(\pi z)}}={\frac {1}{\operatorname {sinc} (z)}}} using the normalized sinc function; while the multiplication theorem becomes: Π ( z m
Gamma_function
Type of mathematical integrals
integrals involve products of sinc ( a x ) {\displaystyle \operatorname {sinc} (ax)} , where the sinc function is given by sinc ( x ) = sin ( x ) / x
Borwein_integral
Technique for reducing low-resolution image distortion
filter or interpolation functions, as though the data were a two dimensional function of continuous x and y. The sinc function of the radius has too long
Spatial_anti-aliasing
Mathematical function with no sudden changes
sufficient is the sinc function, which is defined by sinc ( 0 ) = 1 {\displaystyle \operatorname {sinc} (0)=1} and sinc ( x ) = sin x x {\displaystyle
Continuous_function
Inputs at which function values are highest
if and only if x − 5 = 0. {\displaystyle x-5=0.} "The Unnormalized Sinc Function Archived 2017-02-15 at the Wayback Machine", University of Sydney Rockafellar
Arg_max
Bessel–Clifford function Kelvin functions Legendre function: From the theory of spherical harmonics. Scorer's function Sinc function Hermite polynomials
List of mathematical functions
List_of_mathematical_functions
Mathematical identity used to evaluate certain improper integrals
terms of distributions. One of those is the improper integral of the sinc function over the positive real line, ∫ 0 ∞ sin x x d x = ∫ 0 ∞ sin 2 x x
Lobachevsky_integral_formula
Numerical computing environment and programming language
developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and
MATLAB
wavelet. First, we define the scaling function to be the sinc function. ϕ (Sha) ( t ) := sin π t π t = sinc ( t ) . {\displaystyle \phi ^{\text{(Sha)}}(t):={\frac
Shannon_wavelet
Physics experiment
}}\right]~\mathrm {sinc} ^{2}\left[{\frac {\pi b\sin \theta }{\lambda }}\right]\end{aligned}}} where the sinc function is defined as sinc(x) = sin(x)/x for
Double-slit_experiment
Mathematical function used in signal processing
\operatorname {sinc} (Lf)\triangleq {\frac {\sin(\pi Lf)}{\pi Lf}}.} Transforming each term: W 0 ( f ) = 1 2 sinc ( L f ) + 1 4 sinc ( L ( f − 1 /
Hann_function
Number of prime factors of a natural number
the normalized sinc {\displaystyle \operatorname {sinc} } function sinc ( x ) = sin ( π x ) π x {\displaystyle \operatorname {sinc} (x)={\frac {\sin(\pi
Prime_omega_function
2-dimensional polar coordinate function
A sombrero function (sometimes called besinc function or jinc function) is the 2-dimensional polar coordinate analog of the sinc function, and is so-called
Sombrero_function
Periodic rectangular waveform
x(t)} can be written using the Sinc function, using the definition sinc x = sin π x π x {\displaystyle \operatorname {sinc} x={\frac {\sin \pi x}{\pi
Pulse_wave
Mathematical explanation of far field diffraction
Wx}{\lambda z}}}\\&=aW\operatorname {sinc} {\frac {\pi Wx}{\lambda z}}\end{aligned}}} where sinc(p) = sin(p)/p. The sinc function is sometimes defined as sin(πp)/πp
Fraunhofer diffraction equation
Fraunhofer_diffraction_equation
Special function defined by an integral
{\frac {\sin(t)}{t}}} is the sinc function, and also the zeroth spherical Bessel function. Since sinc is an even entire function (holomorphic over the entire
Trigonometric_integral
Foundational principle in quantum physics
on a real star-square function. Given a Wigner function W ( x , p ) {\displaystyle W(x,p)} with star product ★ and a function f, the following is generally
Uncertainty_principle
translates of sinc function and Cardinal function C(f,h) which is an expansion of f defined by C ( f , h ) ( x ) = ∑ k = − ∞ ∞ f ( k h ) sinc ( x h − k )
Sinc_numerical_methods
Type of filter in signal processing
the corresponding sinc function is zero at every other sample point (except the center one). The product with the window function does not alter the
Finite_impulse_response
Concept in mathematical analysis
signal processing, the Dirichlet kernel is often called the periodic sinc function: P ( ω ) = D n ( x ) | x = 2 π ω / ω 0 = sin ( π M ω / ω 0 ) sin
Dirichlet_kernel
Method of mathematical integration
the sinc function: sinc ( x ) = sin ( x ) x {\displaystyle \operatorname {sinc} (x)={\frac {\sin(x)}{x}}} over the entire real line. This function is
Lebesgue_integral
Pseudoazimuthal compromise map projection
\left(\cos \varphi \cos {\frac {\lambda }{2}}\right)\,} and sinc α is the unnormalized sinc function with the discontinuity removed. In all of these formulas
Aitoff_projection
Model in digital signal processing
{\displaystyle \mathrm {sinc} (x)={\frac {\sin(\pi x)}{\pi x}}\ } is the normalized sinc function. The Laplace transform transfer function of FOH is found by
First-order_hold
Analytic function in mathematics
} are the polygamma function and Euler's constant, respectively, as well as ∑ n = 1 ∞ ζ ( 2 n ) − 1 n t 2 n = log ( 1 − t 2 sinc ( π t ) ) {\displaystyle
Riemann_zeta_function
Function of propagation delay and Doppler frequency
filter output is distorted into a sinc function. The greater the Doppler shift, the smaller the peak of the resulting sinc, and the more difficult it is to
Ambiguity_function
Distance over which a wave's shape repeats
position x via a squared sinc function: S ( u ) = s i n c 2 ( u ) = ( sin π u π u ) 2 ; {\displaystyle S(u)=\mathrm {sinc} ^{2}(u)=\left({\frac {\sin
Wavelength
Integral transform and linear operator
a specific singular integral that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t). The Hilbert transform
Hilbert_transform
Periodic distribution ("function") of "point-mass" Dirac delta sampling
"multiplication with the rect function" is equivalent to "convolution with the sinc function". Hence, it restores the original function from its samples. This
Dirac_comb
k\Delta )}{\pi k}}=\Delta \cdot \mathrm {sinc} (\pi k\Delta )\cdot \mathrm {e} ^{2\pi i\,kx}.} with the Sinc function. Petříček, V.; Van Der Lee, A.; Evain
Crenel_function
Model of signal reconstruction in digital-to-analog (DAC) converters
fT}}=e^{-i\pi fT}\mathrm {sinc} (fT)} where s i n c ( x ) {\displaystyle \mathrm {sinc} (x)} is the (normalized) sinc function sin ( π x ) π x {\displaystyle
Zero-order_hold
Signal processing effect
Aliasing. Brillouin zone Glossary of video terms Jaggies Kell factor Sinc filter Sinc function Spectral density Spectral leakage Stroboscopic effect Wagon-wheel
Aliasing
Transition rate formula
an unstable subatomic particle into other particles Sinc function – Special mathematical function defined as sin(x)/x Time-dependent perturbation theory –
Fermi's_golden_rule
Riemann zeta function) ∫ 0 ∞ sin x x d x = π 2 {\displaystyle \int _{0}^{\infty }{\frac {\sin {x}}{x}}\,dx={\frac {\pi }{2}}} (see sinc function and the
Lists_of_integrals
Sum of a function's values every _P_ offsets
implies that the periodic summation of any band-limited function, such as the sinc function, is a sum of a finite number of sine waves, or even just
Periodic_summation
Signal processing sample technique
reconstructive interpolation function, or lowpass filter impulse response, is sinc ( t / T ) {\displaystyle \operatorname {sinc} \left(t/T\right)} with
Undersampling
Interference phenomenon of waves
of energy, and sinc x = sin x x {\displaystyle \operatorname {sinc} x={\frac {\sin x}{x}}} , which is the unnormalized sinc function. This analysis
Diffraction
Pulse-shaping filter in digital modulation
auto-correlation function of raised cosine function is as follows: R ( τ ) = T [ sinc ( τ T ) cos ( β π τ T ) 1 − ( 2 β τ T ) 2 − β 4 sinc ( β τ T )
Raised-cosine_filter
Sum of inverse squares of natural numbers
)^{2n}(-1)^{n+1}B_{2n}}{2\cdot (2n)!}}.} The normalized sinc function sinc ( x ) = sin ( π x ) π x {\displaystyle {\text{sinc}}(x)={\frac {\sin(\pi x)}{\pi x}}} has
Basel_problem
Mathematical model which is both linear and time-invariant
low-pass filter with impulse response equal to a sinc function is not BIBO stable, because the sinc function does not have a finite L1 norm. Thus, for some
Linear_time-invariant_system
Differential equation important in physics
the Fourier transform is the sinc function G 1 ( t , x ) = 1 2 π ∫ R sin ( | ω | t ) | ω | e i ω x d ω = 1 2 π ∫ sinc ( ω ) e i ω x t d ω = sgn
Wave_equation
Fourier analysis technique applied to sequences
(\omega )} is the Dirac delta function sinc ( t ) {\displaystyle \operatorname {sinc} (t)} is the normalized sinc function rect [ n L ] ≜ { 1 | n | ≤
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Function for integral Fourier-like transform
(t)=2\,\operatorname {sinc} (2t)-\,\operatorname {sinc} (t)={\frac {\sin(2\pi t)-\sin(\pi t)}{\pi t}}} with the (normalized) sinc function. That, Meyer's, and
Wavelet
Screening phenomenon in metals
the perturbation followed by an ongoing sinusoidal decay resembling sinc function. The phenomenon is named after Jacques Friedel, who predicted the effect
Friedel_oscillations
Analog of the continuous Laplace operator
{r}}_{k})} with μ {\displaystyle \mu } being an appropriately dilated sinc function defined in n {\displaystyle n} -dimensions i.e. r ¯ = ( x 1 , x 2 .
Discrete_Laplace_operator
Extension of cubic spline interpolation
the derivative of the sinc function at x = 1 {\displaystyle x=1} , but this has no significance other than for comparison with sinc interpolation. When
Bicubic_interpolation
Mathematical model in quantum mechanics
}{2}}}e^{-i\omega _{n}t},\end{aligned}}} where sinc is the cardinal sine sinc function, sinc(x) = sin(x)/x. For the centered box (xc = 0), the solution is real
Particle_in_a_box
Wave phenomenon
where the (unnormalized) sinc function is defined by sinc ( x ) = d e f sin ( x ) x {\displaystyle \operatorname {sinc} (x)\ {\stackrel {\mathrm
Diffraction_from_slits
Mathematical function resembling a boxcar
boxcar function is selected as the impulse response of a filter, the result is a simple moving average filter, whose frequency response is a sinc-in-frequency
Boxcar_function
Method for converting signals between digital and analog
Figures 7–9 of Lyons article). Windowed sinc-in-time (brick-wall in frequency) filters: Although the sinc function's infinite support prevents it from being
Delta-sigma_modulation
Set of functions used to represent the electronic wave function
interpolation functions. Various methods have been proposed for constructing the solution in real space, including finite elements, basis splines, Lagrange sinc-functions
Basis_set_(chemistry)
Study of Galois symmetry groups of differential fields
elementary functions sinc function sin x x {\displaystyle {\tfrac {\sin x}{x}}} and x x {\displaystyle x^{x}} are also non-elementary functions. It's important
Differential_Galois_theory
Method of solution to differential equations
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with
Green's_function
Mathematical operation
the signal in the time domain is rectangular (as below), it becomes a sinc function in the frequency domain. But if one applies the fractional Fourier transform
Fractional_Fourier_transform
Formulation of quantum mechanics
(t_{f}-t_{i})}}}~.} Using the infinite-product representation of the sinc function, ∏ j = 1 ∞ ( 1 − x 2 j 2 ) = sin π x π x , {\displaystyle \prod _{j=1}^{\infty
Path_integral_formulation
Quick, temporary change in amplitude of electrical signals
transmission. An example of a pulse which meets this condition is the sinc function. The sinc pulse is of some significance in signal-processing theory but cannot
Pulse_(signal_processing)
Characteristic of any structure that is periodic across a position in space
phase-variable spin-echo signals. Each of the spin-echo signal is a sinc function of time, which can be described by Spin-Echo = M 0 sin ω r t ω r t
Spatial_frequency
Representation of a signal as a rectangular wave with varying duty cycle
are restricted by a sin x / x {\displaystyle \sin x/x} envelope (sinc function) and extend to infinity. The infinite bandwidth is caused by the nonlinear
Pulse-width_modulation
Filter used to construct a smooth analog signal from a digital input
the sinc function, either by windowing or by giving a spline approximation, either by cubics or higher order splines. In the case of windowed sinc filters
Reconstruction_filter
Type of uncertainty of meaning where several interpretations are possible
sometimes, the same name of the function is used, causing confusion. Examples of such under-established functions: Sinc function Elliptic integral of the third
Ambiguity
Topics referred to by the same term
Look up sinc in Wiktionary, the free dictionary. Sinc is a mathematical function. Sinc may also refer to: Sinc McEvenue, Canadian football coach Sisters
Sinc_(disambiguation)
Algorithm to smooth data points
closely related to smoothing splines), and convolution with a windowed sinc function. sgolayfilt from Signal Processing Toolbox. Available since before version
Savitzky–Golay_filter
Online database of integer sequences
arithmetic functions, Math. Gaz. 89 (516) (2005) 403-408. Paul W. Oxby, A Function Based on Chebyshev Polynomials as an Alternative to the Sinc Function in FIR
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
Hungarian-American mathematician (1893–1974)
resampling is based on a windowed sinc function as a practical upsampling filter approximating the ideal sinc function, now widely used in video up-sampling
Cornelius_Lanczos
Study of classical optics using Fourier transforms
the Airy function (the FT of a circular aperture function is J1(x)/x and the FT of a rectangular aperture function is a product of sinc functions, sinx/x)
Fourier_optics
INTERCAL, Colossal Cave Adventure Philip Woodward – ambiguity function, sinc function, comb operator, rep operator, ALGOL 68-R Steve Wozniak – Breakout
List_of_programmers
equation for the optical modulation transfer function associated with smear is the standard sinc function associated with an extended sample M T F s m
Smear_(optics)
Filter that has a linear response
boxcar function, then it would implement a low-pass filter with a low frequency gain of N+1 and a frequency response given by the sinc function. Superior
Linear_filter
Important functions in solving differential equations
cardinal sine function, sinc ( θ σ 1 ) = sinc ( θ ) I . {\displaystyle \operatorname {sinc} (\theta \sigma _{1})=\operatorname {sinc} (\theta )~I
Trigonometric functions of matrices
Trigonometric_functions_of_matrices
^{m}\left({\frac {t}{\mathrm {fb} ^{m}}}\right)e^{j2\pi f_{c}t}} where sinc function that appears in Shannon sampling theorem. m > 1 is the order of the
Fbsp_wavelet
since a box filter has poor spectral properties. Conversely, the ideal sinc function is not practical, having infinite support with possibly negative values
Cone_tracing
Metric based on the exact solution of Einstein's field equations of general relativity
{\displaystyle S_{k}(r)=r\;\mathrm {sinc} \,(r{\sqrt {k}}),} where s i n c {\displaystyle \mathrm {sinc} } is the unnormalized sinc function and k {\displaystyle {\sqrt
Friedmann–Lemaître–Robertson–Walker metric
Friedmann–Lemaître–Robertson–Walker_metric
Video game console technology
channels of PCM audio with an echo buffer, wavetable support, and smooth sinc function based interpolation) and direct access to 768M of ROM (indirectly 2
Memory_management_controller
Signal filtering technique
y-function values. Despite its ease of implementation, its practical use is limited as the real-space representation of a top-hat filter is the sinc function
Top-hat_filter
Type of beamforming network
with distance as the independent variable rather than time. Assuming a sinc function beam shape, the beams must be spaced so that their crossovers occur
Butler_matrix
function. Shi – hyperbolic sine integral function. Si – sine integral function. sigmoid – sigmoid function. sin – sine function. sinc – sinc function
List of mathematical abbreviations
List_of_mathematical_abbreviations
data structures for representing level sets Sinc numerical methods — methods based on the sinc function, sinc(x) = sin(x) / x ABS methods Error analysis
List of numerical analysis topics
List_of_numerical_analysis_topics
Signal processing technique
of the autocorrelation function of s c ′ {\displaystyle s_{c'}} is reached at 0. Around 0, this function behaves as the sinc (or cardinal sine) term
Pulse_compression
Lobes of far field radiation pattern of antenna
radiation pattern has a canonical form of The function inside the logarithm is known as the Sinc function. Simple substitutions of various values of X
Sidelobes
SINC FUNCTION
SINC FUNCTION
Boy/Male
Muslim
Male
Hungarian
Hungarian form of Roman Latin Laurentius, LÖRINC means "of Laurentum."
Boy/Male
Arabic, Australian, German, Iranian, Muslim, Parsi, Turkish
Sinai; Explorer of Knowledge
Boy/Male
Hindu, Indian
Sing
Girl/Female
Hindu
A woman having a white complexion
Girl/Female
Hindu
Positive energy, Horseless
Boy/Male
Australian, British, English, Latin
Form of Lincoln; Lithe; From the Town by the Pool
Boy/Male
Muslim
Female
Finnish
Finnish name SINI means "blue."
Girl/Female
Australian, Danish, French, German, Hebrew, Latin, Swedish
Precious Thing; Treasure; Blessed; God is Gracious
Girl/Female
Australian, Biblical, Kurdish
Bush
Girl/Female
Latin American
Blessed.
Girl/Female
Gaelic Irish Scottish
Biblical
a bush, enmity
Girl/Female
Australian, Finnish, German, Indian, Swedish, Telugu
Blue
Girl/Female
Hindu, Indian
Love
Boy/Male
Anglo Saxon
warrior.
Male
Babylonian
, I trust in Sin!
Girl/Female
Russian
Stranger.
Female
Irish
(pron. Shinade) Irish Gaelic form of French Jeanette, SINÉAD means "God is gracious."Â
SINC FUNCTION
SINC FUNCTION
Male
English
(ΛÎων) Greek name derived from the word leon, LEON means "lion." In use by the English and Germans.Â
Girl/Female
Hindu
Inspiration
Girl/Female
Hindu, Indian
Joyful Gift
Girl/Female
Australian, Celtic
White Rose
Girl/Female
Muslim
Eyelashes
Boy/Male
Hindu, Indian
Remembered
Boy/Male
Indian
Bright, Shining, Sparkling, Luminous
Boy/Male
American, British, English
Beaver; From the Roman Camp
Boy/Male
Indian, Punjabi, Sikh
One Having the Highest Elixir
Girl/Female
British, English
Noble Maiden
SINC FUNCTION
SINC FUNCTION
SINC FUNCTION
SINC FUNCTION
SINC FUNCTION
v. t.
To gird with a sinch; to tighten the sinch or girth of (a saddle); as, to sinch up a sadle.
v. t.
To influence by singing; to lull by singing; as, to sing a child to sleep.
n.
An abundant element of the magnesium-cadmium group, extracted principally from the minerals zinc blende, smithsonite, calamine, and franklinite, as an easily fusible bluish white metal, which is malleable, especially when heated. It is not easily oxidized in moist air, and hence is used for sheeting, coating galvanized iron, etc. It is used in making brass, britannia, and other alloys, and is also largely consumed in electric batteries. Symbol Zn. Atomic weight 64.9.
n.
A sin offering; a sacrifice for sin.
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.
An offense, in general; a violation of propriety; a misdemeanor; as, a sin against good manners.
adv., prep., & conj.
Old form of Since.
n.
The perpendicular itself. See Sine of angle, below.
v. t.
Figuratively: To cause to decline; to depress; to degrade; hence, to ruin irretrievably; to destroy, as by drowping; as, to sink one's reputation.
adv.
From a definite past time until now; as, he went a month ago, and I have not seen him since.
v. t.
To cause to sink; to put under water; to immerse or submerge in a fluid; as, to sink a ship.
n.
A hole or low place in land or rock, where waters sink and are lost; -- called also sink hole.
n.
An embodiment of sin; a very wicked person.
n. sing. & pl.
A native or natives of Madagascar; also (sing.), the language.
v. t.
To coat with zinc; to galvanize.
adv.
Since.
v. t.
To make (a depression) by digging, delving, or cutting, etc.; as, to sink a pit or a well; to sink a die.
v. t.
To reduce or extinguish by payment; as, to sink the national debt.
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.