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Numerical computation of special functions
In mathematics, a reflection formula or reflection relation for a function f is a relationship between f(a − x) and f(x). It is a special case of a functional
Reflection_formula
Extension of the factorial function
example: the reflection formula essentially represents the sine function as the product of two gamma functions. Starting from this formula, the exponential
Gamma_function
Equations of light transmission and reflection
The Fresnel equations (or Fresnel coefficients) describe the reflection and transmission of light (or electromagnetic radiation in general) when incident
Fresnel_equations
Extension of superfactorials to the complex numbers
equation for the gamma function, can be used to obtain the following reflection formula for the Barnes G-function (originally proved by Hermann Kinkelin):
Barnes_G-function
Mathematical function
n+{\frac {1}{8n}}}}\right)\qquad n\geq 1} which both spring off the reflection formula via 0 = ψ ( 1 − x n ) = ψ ( x n ) + π tan π x n {\displaystyle 0=\psi
Digamma_function
Mathematical functions
m ) = m g m ( n ) {\displaystyle ng_{n}(m)=mg_{m}(n)} , a kind of reflection formula), and M n ( x ) = ( n − 1 ) ! ∑ k = 1 n k 2 k ( n k ) ( x k ) {\displaystyle
Mittag-Leffler_polynomials
Generalizations of the Riemann zeta function
_{j=1}^{n}{\frac {H_{j,c}}{(j+1)^{b}}}} The above MZVs satisfy the Euler reflection formula: ζ ( a , b ) + ζ ( b , a ) = ζ ( a ) ζ ( b ) − ζ ( a + b ) {\displaystyle
Multiple_zeta_function
Topics referred to by the same term
reflection, a reflection across a point Reflection (mathematics), a transformation of a space Reflection formula, a relation in a function Reflective subcategory
Reflection
Mapping from a Euclidean space to itself
of Coxeter groups. Reflection across an arbitrary line through the origin in two dimensions can be described by the following formula Ref l ( v ) = 2
Reflection_(mathematics)
Analytic function in mathematics
Both sides of the Euler product formula converge for Re(s) > 1. The proof of Euler's identity uses only the formula for the geometric series and the
Riemann_zeta_function
in three dimensions Euler's reflection formula, reflection formula for the gamma function Local Euler characteristic formula The Euler function, a modular
List of topics named after Leonhard Euler
List_of_topics_named_after_Leonhard_Euler
Numerical method for calculating the gamma function
formula as stated here is only valid for arguments in the right complex half-plane, it can be extended to the entire complex plane by the reflection formula
Lanczos_approximation
Mathematical constants
factorial. In particular, and by means of the reflection formula, In analogy with the half-integer formula, Γ ( n + 1 3 ) = Γ ( 1 3 ) ( 3 n − 2 ) ! ! !
Particular values of the gamma function
Particular_values_of_the_gamma_function
Special mathematical function
(z\not \in ~]-\infty ;0]),} and applying the reflection formula to each dilogarithm we find the inversion formula Li 2 ( z ) + Li 2 ( 1 / z ) = − 1 6 π
Polylogarithm
Evaluates a certain product of values of the Gamma function at rational values
(r/|D|)^{\chi (r){\frac {w}{2h}}}} for some algebraic number α. Using Euler's reflection formula for the gamma function gives: η ( i ) = 2 − 1 π − 3 / 4 Γ ( 1 4 )
Chowla–Selberg_formula
Mathematical function
{\displaystyle \psi _{1}(z+1)=\psi _{1}(z)-{\frac {1}{z^{2}}}} and the reflection formula ψ 1 ( 1 − z ) + ψ 1 ( z ) = π 2 sin 2 π z {\displaystyle \psi _{1}(1-z)+\psi
Trigamma_function
Special case of the polylogarithm
{Li} _{2}(1-z)={\frac {{\pi }^{2}}{6}}-\ln z\cdot \ln(1-z).} The reflection formula. Li 2 ( − z ) − Li 2 ( 1 − z ) + 1 2 Li 2 ( 1 − z 2 ) = − π
Dilogarithm
Austrian-Swedish nuclear physicist (1878–1968)
results in her report on "Some Conclusions Derived from the Fresnel Reflection Formula". In 1906, while engaged in this research, Meitner was introduced
Lise_Meitner
Product of numbers from 1 to n
Euler's reflection formula Γ ( z ) Γ ( 1 − z ) = π sin π z . {\displaystyle \Gamma (z)\Gamma (1-z)={\frac {\pi }{\sin \pi z}}.} However, this formula cannot
Factorial
Kind of proposition in mathematics
One of the most common reflection principles for ZFC is a theorem schema that can be described as follows: for any formula ϕ ( x 1 , … , x n ) {\displaystyle
Reflection_principle
Transcendental single-variable function
{2}}}{{\sqrt {3}}+1}}\right)} In general, from the Barnes G-function reflection formula, Cl 2 ( 2 π z ) = 2 π log ( G ( 1 − z ) G ( z ) ) − 2 π log
Clausen_function
Simpler variant of the Riemann zeta function
{\displaystyle \Gamma (s)} is the gamma function. The functional equation (or reflection formula) for Landau's ξ {\displaystyle \xi } is ξ ( 1 − s ) = ξ ( s ) . {\displaystyle
Riemann_xi_function
Equation whose unknown is a function
{\displaystyle f(z)f(1-z)={\pi \over \sin(\pi z)}} (Euler's reflection formula) The functional equation f ( a z + b c z + d ) = ( c z + d ) k f (
Functional_equation
Mathematical function
Unigrafia, p. 27, ISBN 978-951-51-8695-9, ISSN 2814-4031 "Euler's Reflection Formula - ProofWiki", proofwiki.org, retrieved 2020-09-02 Paris, R. B. (2010)
Beta_function
Special mathematical function defined as sin(x)/x
function Γ(x), as well as to Gauss' Pi function, through Euler's reflection formula: sin ( π x ) π x = 1 Γ ( 1 + x ) Γ ( 1 − x ) = 1 Π ( x ) Π ( − x
Sinc_function
Identity obeyed by many special functions related to the gamma function
q+{\frac {n}{k}}\right).} The periodic zeta function occurs in the reflection formula for the Hurwitz zeta function, which is why the relation that it obeys
Multiplication_theorem
Mathematical sequences
simple expression for the sum of squares of the tribonacci numbers. Reflection formula. As with the Fibonacci numbers, one can run the recurrence for the
Generalizations of Fibonacci numbers
Generalizations_of_Fibonacci_numbers
Uses of the constant
{\displaystyle \Gamma (s)\Gamma (1-s)={\frac {\pi }{\sin \pi s}}} (Euler's reflection formula, see Gamma function) π = 6 ζ ( 2 ) {\displaystyle \pi ={\sqrt {6\zeta
List_of_formulae_involving_π
Mathematical theorem
{z}})} gives the duplication formula, z − 1 / 2 J 1 ( z ) {\textstyle z^{-1/2}J_{1}({\sqrt {z}})} gives the reflection formula, and fixing to the evaluable
Ramanujan's_master_theorem
Geometric symmetry operation
if n is odd. Given a vector a in the Euclidean space Rn, the formula for the reflection of a across the point p is R e f p ( a ) = 2 p − a . {\displaystyle
Point_reflection
Experiments proving existence of atomic nuclei
-\theta }{2}}} . With the help of a trigonometric identity known as a reflection formula, the relationship between θ and b can be resolved to: r min = 2 b
Rutherford scattering experiments
Rutherford_scattering_experiments
Topics referred to by the same term
principle that the angle of reflection of light from a surface is the same as the angle of incidence Reflection formula, a relation between f(x) and
Reflection principle (disambiguation)
Reflection_principle_(disambiguation)
Complete reflection of a wave
In physics, total internal reflection (TIR) is the phenomenon in which waves arriving at the interface (boundary) from one medium to another (e.g., from
Total_internal_reflection
Constants in the zeta function's Laurent series expansion
properties. Malmsten's identity (reflection formula for the first generalized Stieltjes constants): the reflection formula for the first generalized Stieltjes
Stieltjes_constants
Producing images of 3D scenes
backwards from the camera originates at a point on a mirror, the reflection formula from geometric optics is used to calculate the direction the reflected
Rendering_(computer_graphics)
Physical interaction of charged particles
-\theta }{2}}} . With the help of a trigonometric identity known as a reflection formula, the relationship between θ and b can be resolved to: r min = 2 b
Coulomb_scattering
Mirror-like wave reflection
Specular reflection, or regular reflection, is the mirror-like reflection of waves, such as light, from a surface. The law of reflection states that a
Specular_reflection
Concept in mathematics
a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial
Complex_reflection_group
Rational number sequence
(1-n)} is zero. By means of the zeta functional equation and the gamma reflection formula the following relation can be obtained: B 2 n = ( − 1 ) n + 1 2 (
Bernoulli_number
Inverse of a finite difference
Under these conditions, F ( z ) {\displaystyle F(z)} satisfies a reflection formula (referred to by Nørlund as Ergänzungssatz, a complementary theorem
Indefinite_sum
Continuous probability distribution for a non-negative random variable
\over {\beta }}\Gamma (1-1/\beta )\Gamma (1/\beta )} From Euler's reflection formula, the expression can be simplified further: B ( 1 − 1 / β , 1 + 1 /
Log-logistic_distribution
Shading algorithm in computer graphics
implementing the Phong reflection model, there are a number of methods for approximating the model, rather than implementing the exact formulas, which can speed
Phong_reflection_model
}\\-1,&{\mbox{if }}x\in p\mathbb {Z} _{p}.\end{cases}}} The Euler's reflection formula Γ ( x ) Γ ( 1 − x ) = π sin ( π x ) {\displaystyle \Gamma (x)\Gamma
P-adic_gamma_function
Mathematics principle in complex analysis
In mathematics, the Schwarz reflection principle is a way to extend the domain of definition of a complex analytic function, i.e., it is a form of analytic
Schwarz_reflection_principle
− F ( x ) = f ( x ) {\displaystyle F(x+1)-F(x)=f(x)} . Using the reflection formula for the digamma function, this simplifies to: ∑ x sinc x = sinc
List_of_indefinite_sums
Lighting formula in 3D computer graphics
after Christophe Schlick, is a formula for approximating the contribution of the Fresnel factor in the specular reflection of light from a non-conducting
Schlick's_approximation
Reflection of sound delayed after direct sound as heard by listener
receiver after the reflection from an obstacle (enemy ship, iceberg, or sunken ship). The distance from the obstacle is found using the formula d = (V*t)/2.
Echo
Coordinate system using perpendicular axes
its reflection across the second coordinate axis (the y-axis), as if that line were a mirror. Likewise, (x, −y) are the coordinates of its reflection across
Cartesian_coordinate_system
Swedish mathematician and politician (1814–1886)
fail to mention the very recent discovery of his authorship of the reflection formula for the first generalized Stieltjes constant at rational argument
Carl_Johan_Malmsten
{1}{\cos(\arccos x)}}={\frac {1}{x}}.} The following identities are implied by the reflection identities. They hold whenever x , r , s , − x , − r , {\displaystyle
List of trigonometric identities
List_of_trigonometric_identities
Exploration of subsurface properties with seismology
Reflection seismology (or seismic reflection) is a method of exploration geophysics that uses the principles of seismology to estimate the properties of
Reflection_seismology
49th season of FIA Formula One motor racing
Supercup The 1995 FIA Formula One World Championship was the 49th season of FIA Formula One motor racing. It featured the 1995 Formula One World Championship
1995 Formula One World Championship
1995_Formula_One_World_Championship
Numbers obtained by adding the two previous ones
Fibonacci numbers are also strongly related to the golden ratio: Binet's formula expresses the n-th Fibonacci number in terms of n and the golden ratio
Fibonacci_sequence
1918 revolt of the Russian Civil War
1917, whose legitimacy by the rebels did not confess). In the Yaroslavl formula, it was not about the nationality of the land fund, but about the right
Yaroslavl_Uprising
Geometric transformation which produces an identical image
triangle about its center, a reflection of a square across its diagonal, a translation of the Euclidean plane, or a point reflection of a sphere through its
Symmetry_operation
Paul L. Copeland & Edward Piotrowski c-14m October 2, 1961 Video Light: Reflection Paul L. Copeland & Edward Piotrowski c-13m November 16, 1961 Light: Refraction
List_of_Coronet_Films_films
British Formula One motor racing team and constructor
Formula One portal Williams Grand Prix Engineering Limited, competing in 2026 as Atlassian Williams F1 Team, is a British Formula One team and constructor
Williams_Racing
Optical component which splits light into several beams
set to zero), in which a ray of light behaves according to the laws of reflection (like a mirror) and refraction (like a lens), respectively. An idealized
Diffraction_grating
Formula for refraction angles
(also known as the Snell–Descartes law, and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction
Snell's_law
Mathematical transformation that preserves distances
transformations include rotations, translations, reflections, or any sequence of these. Reflections are sometimes excluded from the definition of a rigid
Rigid_transformation
2006 greatest hits album by Mary J. Blige
Reflections (A Retrospective) is the first greatest hits album by American R&B singer Mary J. Blige, released in Europe on December 1, 2006, and in the
Reflections_(A_Retrospective)
Optical device which transmits and refracts light
approximating the lens thickness to zero (so a thin lens) leads to the lensmaker's formula. Applying Snell's law on the spherical surface, n 1 sin i = n 2 sin
Lens
Thai and British racing driver (born 1996)
is a Thai and British racing driver who competes under the Thai flag in Formula One for Williams. Born in Westminster and raised in Suffolk, Albon is the
Alex_Albon
Concept in linear algebra
(also known as a Householder reflection or elementary reflector) is a linear transformation that describes a reflection about a plane or hyperplane containing
Householder_transformation
Electrical engineers graphical calculator
terms of reflection coefficient z T = 1 + Γ 1 − Γ . {\displaystyle z_{\mathsf {T}}={\frac {1+\Gamma }{\,1-\Gamma \,}}\,.} and using Euler's formula exp
Smith_chart
Mirror with a curved reflecting surface
mirror. A collimated (parallel) beam of light diverges (spreads out) after reflection from a convex mirror, since the normal to the surface differs at each
Curved_mirror
2006 video game
Formula One Championship Edition is a 2006 racing video game developed by Studio Liverpool and published by Sony Computer Entertainment for the PlayStation
Formula One Championship Edition
Formula_One_Championship_Edition
Spectroscopy technique
diffuse reflection spectroscopy, is a subset of absorption spectroscopy. It is sometimes called remission spectroscopy. Remission is the reflection or back-scattering
Diffuse reflectance spectroscopy
Diffuse_reflectance_spectroscopy
Application of Clifford algebra
reflections as basic elements, and constructs all other transformations and geometric objects out of them. Formally: it identifies planar reflections
Plane-based_geometric_algebra
Measurement system of the relative strength of powerlifters
Al (2010-07-13). "O'Carroll Formula". USAWA. Retrieved 2021-01-19. "Reflections on Strength, Gender, and Lifting Formulas" (PDF). www.starkcenter.org
Wilks_coefficient
Function used in computer graphics
a geometric formula independent of quaternions, and independent of the dimension of the space in which the arc is embedded. This formula, a symmetric
Spherical linear interpolation
Spherical_linear_interpolation
Programming languages with runtime extensibility
memory based on program individual operations. Reflective programming (reflection) is common in many dynamic languages, and typically involves analysis
Dynamic_programming_language
Iron Age culture in central Italy
Waarsenburg, Demetrius; Maas, Hendrieneke (2001). "Gods, men and money. Reflections on a protohistoric bronze hoard from the temple of Mater Matuta at Satricum
Latial_culture
Formula in telecommunications engineering of antenna performance
The Friis transmission formula is used in telecommunications engineering, equating the power at the terminals of a receive antenna as the product of power
Friis_transmission_equation
American record producer
(featuring Jhené Aiko) Chris Brown X 2015 "Everlasting Love" Fifth Harmony Reflection "We Know" "A Little More" (featuring Victoria Monet) Machine Gun Kelly
Tommy_Brown_(music_producer)
Australian Formula One advertising executive
Scuderia Ferrari, he helped grow Formula One into a global competition with nine-figure team budgets. Hogan's influence in Formula One stretched across four
John Hogan (motorsport executive)
John_Hogan_(motorsport_executive)
Number line and triangular tiling's symmetry mathematical structure
of cycles of u.) In (Lewis et al. 2019), the following formula was proved for the reflection length of an affine permutation u: for each cycle of u,
Affine_symmetric_group
Arabian Christianity's growth, distribution before Islam
Grasso 2023, p. 119. Al-Jallad, Ahmad (2022). "A pre-Islamic basmala: reflections on its first epigraphic attestation and its original significance". Jerusalem
Christianity in pre-Islamic Arabia
Christianity_in_pre-Islamic_Arabia
the wake of the Bondi beach shooting. 21 December: A national day of reflection to honour victims of the Bondi Beach shooting is held. 10,000 people gather
2025_in_Australia
Formula One presence of Alfa Romeo
Scuderia Ferrari Formula 1. Archived from the original on 2 April 2015. Retrieved 29 March 2018. Williams, Richard (February 2018). "Reflections: February 2018"
Alfa_Romeo_in_Formula_One
Group of geometric symmetries with at least one fixed point
a point group is either a rotation (determinant of M = 1), or it is a reflection or improper rotation (determinant of M = −1). The geometric symmetries
Point_group
Mathematical rule for inverting probabilities
the question of priority. Bruss underlined the intuitive part of Bayes's formula and added independent arguments about Bayes's probable motivation for his
Bayes'_theorem
Formula One rivalry between Alain Prost and Ayrton Senna
The Prost–Senna rivalry, or Senna–Prost rivalry, was a Formula One rivalry between French racing driver Alain Prost and Brazilian racing driver Ayrton
Prost–Senna_rivalry
1998 video game
departure of Bizarre Creations, Psygnosis offered Reflections Interactive the chance to develop Formula 1 98, but they pulled out to make Driver. Visual
Formula_1_98
Formula for spectral line wavelengths in alkali metals
{E}{hc}}} (in this formula the h represents the Planck constant). Modern and legitimate understanding is that Rydberg's findings were a reflection of the underlying
Rydberg_formula
Country in North America
2014. Madison, Gary Brent (2000). Is There a Canadian Philosophy?: Reflections on the Canadian Identity. University of Ottawa Press. p. 128. ISBN 978-0-7766-0514-2
Canada
Uruguayan presidential administration from 2025 to present
Wednesday 14, President Yamandú Orsi took part in a meeting for exchange and reflection on international and regional current affairs organized by that center
Presidency_of_Yamandú_Orsi
Khan Council President, Passes Away at the Age of 91; and Lord Bhatia's Reflections on Women, Religious Persecution, and Islam Dr Glenn Black, Emeritus Fellow
Deaths_in_January_2024
Thin semiconductors
some advantages in regards to both manual exfoliation and CVD. Use of reflection high-energy electron diffraction (RHEED) enables the in-situ monitoring
Transition metal dichalcogenide monolayers
Transition_metal_dichalcogenide_monolayers
and Sharks and Giant Squid: Reflections on the Big, the Strange, and the Powerful. [pp. 245–278] In: Ocean: Reflections on a Century of Exploration.
List of giant squid specimens and sightings
List_of_giant_squid_specimens_and_sightings
1975–2014 period in Spanish history
others "ETA murderer". On the afternoon of Saturday, March 13, "day of reflection" for the elections of the following day, several thousand demonstrators
Reign_of_Juan_Carlos_I
Mathematical proof technique
Vieta's formulas, there is a corresponding lattice point with the same x-coordinate on the other branch of the hyperbola, and by reflection through y
Vieta_jumping
Zhivago) Nominated – BAFTA Award for Best Actress in a Leading Role Reflections in a Golden Eye Leonora Penderton Doctor Faustus Helen of Troy The Comedians
Elizabeth_Taylor_filmography
French political and religious crisis
found themselves on the outside of the new administration. This was a reflection of the treason of their kinsmen the Constable de Bourbon in decades previous
1559–1562 French political crisis
1559–1562_French_political_crisis
Hotel in Manhattan, New York
without his permission on a lavish brochure describing the project. "Reflections for the UN" (PDF). Architectural Record. 131 (12): 84–86. December 1969
One_United_Nations_Plaza
2025 studio album by Sombr
rock and features lyrics exploring themes of heartbreak, longing, self-reflection, and life in New York City. Entirely written by Sombr and produced with
I_Barely_Know_Her
Price/earnings to growth ratio, a stock price analysis tool
rate", i.e., a fairly valued company will have its PEG equal to 1. The formula can be supported theoretically by reference to the Sum of perpetuities
PEG_ratio
Aspect of photography history
of magnesium or calcium fluoride to suppress flare producing surface reflections were invented by Carl Zeiss (Jena, Germany) in 1936 and first sold in
History of the single-lens reflex camera
History_of_the_single-lens_reflex_camera
Taylor, who designed the engine management unit, at Cosworth; each year in Formula 1, the permitted fuel was reduced - for 1986, it was 195 litres; the EEC-IV
List_of_Equinox_episodes
Path loss of radio transmitted through air or vacuum
rarely used standalone, but rather as a part of the Friis transmission formula, which includes the gain of antennas. It is a major factor used in power
Free-space_path_loss
REFLECTION FORMULA
REFLECTION FORMULA
Girl/Female
Hindu, Indian
Reflection
Girl/Female
Indian
Reflection, Image, Radiance
Girl/Female
Tamil
Reflection, Image, Radiance
Boy/Male
Tamil
Reflection
Boy/Male
Tamil
Gunjik | கà¯à®¨à¯à®œà¯€à®•
Reflection
Gunjik | கà¯à®¨à¯à®œà¯€à®•
Girl/Female
Indian, Malayalam
Reflection
Girl/Female
Tamil
Reflection, Image, Radiance
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Tamil, Telugu
Reflection; Outlook; Reflection Reflection
Boy/Male
Tamil
Reflection through study
Girl/Female
Japanese
Mirror reflection.
Girl/Female
Arabic, Assamese, Australian, Hindu, Indian, Marathi, Muslim, Sindhi
Mirror; Reflection
Girl/Female
Bengali, Hindu, Indian
Reflection; Mirror
Boy/Male
Hindu, Indian
Our Reflection
Boy/Male
Hindu, Indian, Punjabi, Sanskrit, Sikh
Thought; Reflection
Boy/Male
Buddhist, Indian, Japanese
Ancient Reflection
Boy/Male
Hindu
Reflection
Boy/Male
Indian
Reflection; Gnawing Reflection
Boy/Male
Hindu
Reflection
Boy/Male
Hindu, Indian
Perception; Reflection
Boy/Male
Bengali, Hindu, Indian
Image; Reflection
REFLECTION FORMULA
REFLECTION FORMULA
Female
Hebrew
(ש×Ö¶×ֱרָה) Hebrew name SHE'ERA means "kinswoman." In the bible, this is the name of a daughter of Ephraim.
Biblical
his gift,An ancestor of Jesus
Biblical
diminished; torn in pieces
Male
Finnish
Finnish form of German Wilhelm, VILJAMI means "will-helmet."
Boy/Male
Hindi
Protector.
Girl/Female
Italian
Glad.
Surname or Lastname
English
English : habitational name from a place in Staffordshire named Gailey, from Old English gagel ‘bog-myrtle’ + lēah ‘woodland clearing’.In some instances, an altered spelling of South German Gailer (variant of Geiler) or of Swiss Gälli (see Gall).
Boy/Male
Hindu, Indian, Marathi
The God
Male
Icelandic
Icelandic form of Old Norse Alrekr, ALREKUR means "all-powerful; ruler of all."
Girl/Female
Latin
Aunt of Hercules.
REFLECTION FORMULA
REFLECTION FORMULA
REFLECTION FORMULA
REFLECTION FORMULA
REFLECTION FORMULA
n.
The return of rays, beams, sound, or the like, from a surface. See Angle of reflection, below.
a.
Throwing back images; as, a reflective mirror.
n.
A part reflected, or turned back, at an angle; as, the reflection of a membrane.
n.
A reflecting telescope.
a.
Addicted to introspective or meditative habits; as, a reflective person.
n.
The variation of words by declension, comparison, or conjugation; inflection.
n.
An image given back from a reflecting surface; a reflected counterpart.
n.
See Reflection.
n.
A slide, modulation, or accent of the voice; as, the rising and the falling inflection.
n.
Election a second time, or anew; as, the reelection of a former chief.
a.
Capable of, or pertaining to, flection or inflection.
n.
Want of reflection.
n.
A device for reflecting sound.
a.
Capable of exercising thought or judgment; as, reflective reason.
a.
Given to reflection or serious consideration; reflective; contemplative; as, a reflecting mind.
a.
The act of choosing; choice; selection.
n.
A deviation of the rays of light toward the surface of an opaque body; inflection; diffraction.
n.
Election beforehand.
n.
The act of reflecting, or turning or sending back, or the state of being reflected.
n.
That which is produced by reflection.