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Model particles in statistical mechanics
statistical mechanics, hard spheres are widely used as model particles in fluids and solids. They are defined simply as impenetrable spheres that cannot overlap
Hard_spheres
temperature T. Therefore structure of a hard-spheres fluid is temperature independent. This leaves just two parameters: the hard-core radius R (which can be eliminated
Percus–Yevick_approximation
Chinese mathematician (born 1989)
physics. Deng and his collaborators adapted these methods to systems of hard spheres. They derived the Boltzmann equation from Newtonian particle dynamics
Yu_Deng
Effective force in molecular and colloidal systems
sized hard spheres. Hard spheres are characterized as non-interacting and impenetrable spheres. These two fundamental properties of hard spheres are described
Depletion_force
Arrangement of spheres within a space
In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical
Sphere_packing
Packing method for objects
of a container is occupied by the spheres. The problem of predicting theoretically the random close pack of spheres is difficult mainly because of the
Random_close_pack
Three-dimensional packing problem
Sphere packing in a cylinder is a three-dimensional packing problem with the objective of packing a given number of identical spheres inside a cylinder
Sphere_packing_in_a_cylinder
Probability of a given process occurring in a particle collision
must meet in order to scatter from each other. If the particles are hard hard spheres that interact only upon contact, their scattering cross section is
Cross_section_(physics)
Distance between a projectile path and center of a potential field affecting it
2 R {\displaystyle b>2R} , where the colliding nuclei are viewed as hard spheres with radius R {\displaystyle R} .[citation needed] Because the color
Impact_parameter
used in engineering practice. If one models gas molecules as elastic hard spheres (with mass m {\displaystyle m} and diameter σ {\displaystyle \sigma }
Temperature dependence of viscosity
Temperature_dependence_of_viscosity
Iranian-American Scientist
co-authored is "Equilibrium thermodynamic properties of the mixture of hard spheres" in The Journal of Chemical Physics in 1971 with about 3000 citations
G._A._Mansoori
Radius of an atomic ion in crystals
atoms nor ions have sharp boundaries, they are treated as if they were hard spheres with radii such that the sum of ionic radii of the cation and anion gives
Ionic_radius
State of matter at low temperatures
N. Yang (1957). "Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties". Phys. Rev. 106 (6): 1135–1145. Bibcode:1957PhRv
Superfluid_helium-4
Equation of statistical mechanics
be rigorously derived from the Newtonian mechanics of a dilute gas of hard spheres for practically unlimited time intervals. This result extends the 1975
Boltzmann_equation
Monte Carlo method
molecular interaction model; here we take the hard spheres model, which is the simplest. In the hard spheres model, the collision probability for the pair
Direct_simulation_Monte_Carlo
Initial step in the phase transition or molecular self-assembly of a substance
of hard spheres. This is a model of perfectly hard spheres in thermal motion, and is a simple model of some colloids. For the crystallisation of hard spheres
Nucleation
Mathematics award
of the Boltzmann equation for long times, starting from a system of hard spheres." "in recognition of their remarkable work on geometric problems in harmonic
Clay_Research_Award
Hypothesis about quantum and statistical mechanics
thermodynamics Statistical physics Configuration entropy Chaos Theory Hard spheres Quantum statistical mechanics Microcanonical Ensemble H-theorem Adiabatic
Eigenstate thermalization hypothesis
Eigenstate_thermalization_hypothesis
Gas equation of state which accounts for non-ideal gas behavior
approximation to the virial equation. For molecules modeled as non-attracting hard spheres, a = 0 {\displaystyle a=0} , and the vdW virial expansion becomes Z (
Van_der_Waals_equation
Entertainment venue in the Las Vegas Valley, United States
handles production and post-production work for the Las Vegas sphere and future spheres. MSG Sphere Studios sought to collaborate with filmmakers and musicians
Sphere_(venue)
Physics calculation for collisions
per unit time. In an ideal gas, assuming that the species behave like hard spheres, the collision frequency between entities of species A and species B
Collision_frequency
Mathematical description in crystallography
{\partial \rho }{\partial p}}\right)} . In the hard sphere model, the particles are described as impenetrable spheres with radius R {\displaystyle R} ; thus,
Structure_factor
Theory of nucleation
the crystal phase in a system of hard spheres, which is a simple model of colloids consisting of perfectly hard spheres in thermal motion. The agreement
Classical_nucleation_theory
Laws in physics about force and motion
medium as it moved. During the 1650s, Huygens studied collisions between hard spheres and deduced a principle that is now identified as the conservation of
Newton's_laws_of_motion
Computer Graphics. Duff was a coauthor of "Minimal-Energy Clusters of Hard Spheres" in Discrete & Computational Geometry with John Horton Conway and Conway
Tom Porter (computer scientist)
Tom_Porter_(computer_scientist)
Elements of some cosmological models
the seven planetary spheres contained other secondary spheres within them. The planetary spheres were followed by the stellar sphere containing the fixed
Celestial_spheres
How spheres of various dimensions can wrap around each other
mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples
Homotopy_groups_of_spheres
Hypothetical megastructure around a star
transmit, and maintain a complete Dyson sphere exceeds present-day industrial capabilities. Dyson spheres have prompted speculation into the feasibility
Dyson_sphere
Statistical mechanics framework
the contact value of the pair distribution function. For mixtures of hard spheres, this value can be computed without large difficulties, but for more
Chapman–Enskog_theory
Average distance travelled by a particle between impacts with other particles
terms of the mean free path. Typically, gas molecules do not behave like hard spheres, but rather attract each other at larger distances and repel each other
Mean_free_path
Scientific subjects
if all other knowledge was lost. By modeling matter as collections of hard spheres, it is possible to describe the kinetic theory of gases, upon which classical
Branches_of_physics
Movement in granular material
packing of hard spheres with various sizes makes that smaller spheres have larger probability to move downwards by gravitation than larger spheres. The phenomenon
Granular_convection
KE, Leland TW. Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres, J. Chem. Phys. 1971; 54(4):1523-25 Carnahan-Starling equation of state
PC-SAFT
Compressing a material to form a pellet
pellet to hard spheres. The raw material is rolled into a ball, then fired in a kiln or in travelling grate to sinter the particles into a hard sphere. The
Pelletizing
Equilibrium theory of hard-sphere fluids
an equilibrium theory of hard-sphere fluids which gives an approximate expression for the equation of state of hard-sphere mixtures and for their thermodynamic
Scaled_particle_theory
Arrangement of leaves on the stem of a plant
Physical models of phyllotaxis date back to Airy's experiment of packing hard spheres. Gerrit van Iterson diagrammed grids imagined on a cylinder (rhombic
Phyllotaxis
Computational quantum mechanical modelling method to investigate electronic structure
given by the sum of the direct correlation in a known system such as hard spheres and a term in a weak interaction such as the long range London dispersion
Density_functional_theory
Concept from evolutionary biology
October 2025). "Imperfect Turing patterns: Diffusiophoretic assembly of hard spheres via reaction-diffusion instabilities". Matter (102513). arXiv:2601.21180
Turing_pattern
Political concept
a single country can fall into different spheres of influence, or a nation may fall into different spheres of influence depending on the factor being
Sphere_of_influence
Relation used in the field of fluid dynamics
(2003-05-01). "Bulk and interior packing densities of random close packing of hard spheres". Journal of Materials Science. 38 (9): 2019–2025. doi:10.1023/A:1023597707363
Kozeny–Carman_equation
Description of the ground state of a quantum system
N. (1957-06-15). "Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties". Physical Review. 106 (6): 1135–1145
Gross–Pitaevskii_equation
Visual representation of allowable protein conformations
backbone conformational regions from the Ramachandran et al. 1963 and 1968 hard-sphere calculations: full radius in solid outline, reduced radius in dashed
Ramachandran_plot
Empirical algebraic equation of state more precise than the Van der Waals equation
T}{V_{m}}}\,{\frac {1}{1-{\frac {b}{V_{m}}}}}} (where Phs represents a hard spheres equation of state term.) was developed in 1963 by Thiele: P hs = R T
Redlich–Kwong equation of state
Redlich–Kwong_equation_of_state
Wiener process with reflecting spatial boundaries
confined Brownian motion. For example it can describe the motion of hard spheres in water confined between two walls. RBMs have been shown to describe
Reflected_Brownian_motion
Mathematics award
the Sphere and Cylinder, behind an olive branch. (This is the mathematical result of which Archimedes was reportedly most proud: Given a sphere and a
Fields_Medal
Problems which attempt to find the most efficient way to pack objects into containers
with given radius R that will pack n identical spheres of radius r (< R). For a small radius R the spheres arrange to ordered structures, called columnar
Packing_problems
Chemical compound involving ionic bonding
ions as impenetrable hard spheres, the arrangement of anions in these systems are often related to close-packed arrangements of spheres, with the cations
Salt_(chemistry)
State of matter
will collide, and experience a very high repulsive force (modelled by Hard spheres) which is a much stronger force than the attractions, so that any attraction
Gas
English mathematician (1937–2020)
Wissenschaften, 290, ISBN 9780387966175. 1995 – Minimal-Energy Clusters of Hard Spheres (with Neil Sloane, R. H. Hardin, and Tom Duff). Discrete & Computational
John_Horton_Conway
Smooth manifold that is homeomorphic but not diffeomorphic to a sphere
4. The classification of exotic spheres by Michel Kervaire and Milnor (1963) showed that the oriented exotic 7-spheres are the non-trivial elements of
Exotic_sphere
Parameter of solute diffusion
Stokes radius or Stokes–Einstein radius of a solute is the radius of a hard sphere that diffuses at the same rate as that solute. Named after George Gabriel
Stokes_radius
Size of an atom's imaginary sphere representing how close other atoms can get
The van der Waals radius, rw, of an atom is the radius of an imaginary hard sphere representing the distance of closest approach for another atom. It is
Van_der_Waals_radius
Term used for composite materials
filled with hard spheres if it is first filled with large spheres, then the spaces between (interstices) are filled with smaller spheres, and the new
Aggregate_(composite)
Chemical compound
Patrick; Poon, Wilson C. K.; Weeks, Eric R. (2013). "In search of colloidal hard spheres". Soft Matter. 9 (1): 17–27. arXiv:1205.6665. Bibcode:2013SMat....9.
Bromocyclohexane
Motion of many particles in a narrow channel
N (N → ∞) identical Brownian hard spheres in a quasi-one-dimensional channel of length L (L → ∞), such that the spheres do not jump one on top of the
File_dynamics
Natural nodule-like rock concretions
(Klerksdorp spheres), and layers at multiple horizons within thin beds of carbonaceous shale or slate, which is locally called wonderstone. Klerksdorp spheres are
Klerksdorp_sphere
1987 novel by Michael Crichton
Trouble is, it gets hard to dream up a story where at the center there is something inexplicable. The book was made into the film Sphere (1998), directed
Sphere_(novel)
Physical process
fraction by squeezing the soft spheres closer together, and thus creates additional contacts between neighboring spheres. This leads to an increase of
Jamming_(physics)
Two tetrahedra joined by one face
; Duff, T. D. S.; Conway, J. H. (1995), "Minimal-energy clusters of hard spheres", Discrete & Computational Geometry, 14 (3): 237–259, doi:10.1007/BF02570704
Triangular_bipyramid
second virial coefficient B2 divided by the second virial coefficient of hard spheres with the effective diameter can be calculated (or experimentally measured)
Noro–Frenkel law of corresponding states
Noro–Frenkel_law_of_corresponding_states
State similar to a liquid and a crystal
hyperuniform fluid phase that exists in systems of circularly swimming active hard spheres, which was confirmed experimentally in 2022. This new hyperuniform fluid
Hyperuniformity
Concept in quantum mechanics
{\displaystyle a=r_{0}} , in other words the scattering length for a hard sphere is just the radius. (Alternatively one could say that an arbitrary potential
Scattering_length
Ordered array of colloidal particles
natural example of this phenomenon can be found in the gem opal, where spheres of silica assume a close-packed locally periodic structure under moderate
Colloidal_crystal
Core of an atom composed of nucleons
the nucleus gives approximately the same total size result as packing hard spheres of a constant size (like marbles) into a tight spherical or almost spherical
Atomic_nucleus
Process of mathematical modelling, performed on a computer
to model the process of nuclear detonation. It was a simulation of 12 hard spheres using a Monte Carlo algorithm. Computer simulation is often used as an
Computer_simulation
American physicist (1925–2020)
PhD in 1948 and worked for the investigation of phase transitions in hard-sphere gas with Stan Frankel, where he got the idea to use the Monte Carlo method
Berni_Alder
Policy maker, scholar, and advocate for people with developmental disabilities
hard spheres would undergo a first-order liquid-crystal phase transition. The 1942 paper clearly states the seminal prediction that a system of hard spheres
Elizabeth_Monroe_Boggs
Unsuccessful 1997 American crewed spaceflight
the rack will have on the Space Station. It will house the Physics of Hard Spheres (PHaSE) experiment and the Astro/PGBA Experiment. The Electromagnetic
STS-83
Reaction that combines atomic nuclei
nuclei can be understood as hard spheres that repel each other through the Coulomb force but fuse once the two spheres come close enough for contact
Nuclear_fusion
Atomic-scale non-crystalline structure of liquids and glasses
example, are typically well described by the dense random packing of hard spheres, whereas covalent systems, such as silicate glasses, have sparsely packed
Structure of liquids and glasses
Structure_of_liquids_and_glasses
Coefficient of rate of a chemical reaction
Finally, in the past, collision theory, in which reactants are viewed as hard spheres with a particular cross-section, provided yet another common way to rationalize
Reaction_rate_constant
collision with a classical model that treats the electron and atom as hard spheres, one finds that the probability of collision should be independent of
Ramsauer–Townsend_effect
Independent set which is not a subset of any other independent set
covers have been studied in statistical mechanics in connection with the hard-sphere lattice gas model, a mathematical abstraction of fluid-solid state transitions
Maximal_independent_set
Kinetic theory of gravity
replaced Le Sage's cage-like units of ordinary matter with microscopic hard spheres of uniform size. He concluded that only in the instance of perfectly
Le Sage's theory of gravitation
Le_Sage's_theory_of_gravitation
Two pentagonal pyramids fused base-to-base
; Duff, T. D. S.; Conway, J. H. (1995), "Minimal-Energy Clusters of Hard Spheres", Discrete & Computational Geometry, 14 (3): 237–259, doi:10.1007/BF02570704
Pentagonal_bipyramid
German astronomer and mathematician (1571–1630)
Frank; Speck, Thomas; Valeriani, Chantal (12 November 2024). "Colloidal hard spheres: Triumphs, challenges, and mysteries". Reviews of Modern Physics. 96
Johannes_Kepler
Physical force that originates from thermodynamics instead of fundamental interactions
ordering of hard particles, such as the crystallization of hard spheres, the isotropic-nematic transition in liquid crystal phases of hard rods, and the
Entropic_force
Section of a sphere
spherical cap and R is the radius of the entire sphere. The volume of the union of two intersecting spheres of radii r 1 {\displaystyle r_{1}} and r 2 {\displaystyle
Spherical_cap
Distribution of distances between pairs of particles in a given volume
whole number. The pair distribution for a volume completely filled by hard spheres is therefore a set of Dirac delta functions of the form: g ( r ) = ∑
Pair_distribution_function
Concept in physics
energy) that quantum effects can be neglected. A system of hard spheres, interacting only by hard collisions (e.g., billiards, marbles), is a model classical
Classical_fluid
American award for mathematical analysis
including: The Brownian motion as the limit of a deterministic system of hard-spheres. Invent. Math. 203 (2016), no. 2, 493–553 [written with Thierry Bodineau
Bôcher_Memorial_Prize
Convex polyhedron with 12 triangular faces
; Duff, T. D. S.; Conway, J. H. (1995), "Minimal-energy clusters of hard spheres", Discrete and Computational Geometry, 14 (3): 237–259, doi:10.1007/BF02570704
Snub_disphenoid
Disruption of the periodicity of a crystal lattice
of defects in solids with computer simulations. Simulating jamming of hard spheres of different sizes and/or in containers with non-commeasurable sizes
Crystallographic_defect
Convex polyhedron with 16 triangular faces
inscribed in a sphere. Sloane, N. J. A.; Hardin, R. H.; Duff, T. D. S.; Conway, J. H. (1995), "Minimal-energy clusters of hard spheres", Discrete & Computational
Gyroelongated square bipyramid
Gyroelongated_square_bipyramid
Process in materials science
(109–127): 30–36. Widom, B. J. (1966). "Random Sequential Addition of Hard Spheres to a Volume". J. Chem. Phys. 44 (10): 3888–3894. Bibcode:1966JChPh..44
Random_sequential_adsorption
Theorem
(Markov Chain Monte Carlo) setting is the following: Consider a simple hard spheres model on a grid. Suppose X = { 1 , … , n 1 } × { 1 , … , n 2 } ⊆ Z 2
Markov chain central limit theorem
Markov_chain_central_limit_theorem
Canadian computer programmer (born 1952)
Sloane, R.H. Hardin, T.S. Duff, J.H. Conway: "Minimal-Energy Clusters of Hard Spheres", Discrete & Computational Geometry 14, No. 3, 237–259, 1995. J.H. Conway
Tom_Duff
Chinese physicist (1928–2016)
and C. N. Yang, Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties, Phys. Rev. 106, 1135 (1957). "Interview
Kerson_Huang
1997 American crewed spaceflight to conduct space experiments
the rack will have on the Space Station. It will house the Physics of Hard Spheres (PHaSE) experiment and the Astro/PGBA Experiment. The Electromagnetic
STS-94
English crystallographer (1944–2014)
several men in close proximity to one another wave heavy sticks and propel hard spheres at high speed. He also had a dry sense of humour: Retino-rectal Connexions
Frank_Allen_(chemist)
Mixture of an insoluble substance microscopically dispersed throughout another substance
used to model ideal gases can be applied to model the behavior of a hard sphere colloidal suspension. Phase transitions in colloidal suspensions can
Colloid
American physicist and computer scientist (1927-2020)
studies of statistical mechanical systems, including three-dimensional hard spheres and two-dimensional Lennard-Jones molecules and two and three-dimensional
Arianna_W._Rosenbluth
Complex structures in matter physics
densest configuration for the packing of four equal spheres. The dense random packing of hard spheres problem can thus be mapped on the tetrahedral packing
Geometrical_frustration
Physics award
Physics (13th) (Report). p. 2. Pearce, Paul A (2016-10-14). "Hard hexagons, hard squares and hard mathematics". Journal of Physics A: Mathematical and Theoretical
Boltzmann_Medal
Russian–American mathematician (born 1935)
announced a proof of the ergodic hypothesis for a gas consisting of n hard spheres confined to a box. The complete proof, however, was never published,
Yakov_Sinai
Correction for Bose–Einstein condensates
and C. N. Yang, Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties, Phys. Rev. 106, 1135 (1957). v t
Lee–Huang–Yang_correction
Personal computer released in 1975
The Sphere 1 was a personal computer completed in 1975 by Michael Donald Wise and Monroe Tyler of Sphere Corporation, of Bountiful, Utah. The Sphere 1 featured
Sphere_1
Quantum mechanical system
N. (1957-06-15). "Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties". Physical Review. 106 (6): 1135–1145
Weakly_interacting_Bose_gas
2022–2025 concert tour by Coldplay
The Music of the Spheres World Tour is the eighth concert tour undertaken by British rock band Coldplay. It is being staged to promote their ninth and
Music of the Spheres World Tour
Music_of_the_Spheres_World_Tour
Writing and drawing implement
ballpoint pen dispenses a viscous oil-based ink by means of a small hard sphere, or ball, which rolls over the surface being written on. The ball is
Pen
HARD SPHERES
HARD SPHERES
Surname or Lastname
English and German
English and German : nickname for someone with a deformed hand or who had lost one hand, from Middle English hand, Middle High German hant, found in such appellations as Liebhard mit der Hand (Augsburg 1383).Jewish (Ashkenazic) : nickname from German Hand ‘hand’ (see 1).Irish : Anglicized form of Gaelic Ó Flaithimh (see Guthrie), resulting from an erroneous association of the Gaelic name with the Gaelic word lámh ‘hand’. It is used as an English equivalent for several other names of Gaelic origin too, e.g. Claffey, Glavin, and McClave.Dutch : from a variant of hont ‘dog’, ‘hound’, either a derogatory nickname, or a habitational name for someone living at a house distinguished by the sign of a dog.
Boy/Male
Hindu
Hearts feeling, Main, Meaning
Surname or Lastname
English
English : variant of Herd.Respelling of Swedish HÃ¥rd (see Hard 2).
Surname or Lastname
English and North German
English and North German : from a personal name or nickname meaning ‘stag’, Middle English hert, Middle Low German hërte, harte.German : variant spelling of Hardt 1 and 2.Jewish (Ashkenazic) : ornamental name or a nickname from German and Yiddish hart ‘hard’.Irish : Anglicized form of Gaelic Ó hAirt ‘descendant of Art’, a byname meaning ‘bear’, ‘hero’. The English name became established in Ireland in the 17th century.French : from an Old French word meaning ‘rope’, hence possibly a metonymic occupational name for a rope maker or a hangman.Dutch : nickname from Middle Dutch hart, hert ‘hard’, ‘strong’, ‘ruthless’, ‘unruly’.This name was brought independently to New England by many bearers from the 17th century onward. Stephen Hart was one of the founders of Hartford, CT, (coming from Cambridge, MA, with Thomas Hooker) in 1635.
Male
English
 English occupational surname transferred to forename use, derived from Old English weard, WARD means "guard, watchman."Â
Surname or Lastname
English
English : from the Old English personal name Heard or a Norman cognate Hard(on), also of Germanic origin. This was a byname meaning ‘hardy’, ‘brave’, ‘strong’, but it also seems to have been used as a short form of the various compound names containing this as a first element. Occasionally this may also be a variant of Hardy.English, German, Dutch, and Swedish (Hård) : nickname for a stern or severe man, from Middle English, Middle Low German hard, Middle Dutch hart, hert, Swedish hård ‘hard’, ‘inflexible’. The Swedish name was probably originally a soldier’s name.English : topographic name for someone who lived on a patch of particularly hard ground or one that was difficult to farm. Compare Hardacre.Dutch : occupational name from Middle Dutch harde, herde ‘herder’.
Surname or Lastname
English (chiefly Midlands)
English (chiefly Midlands) : variant spelling of Heard.
Male
Hindi/Indian
(हरि) Hindi name HARI means "he who takes away." In Hindu mythology, this is a name borne by Vishnu.
Male
German
Short form of German Harman, HARM means "bold/hardy man." In use by the Dutch.
Surname or Lastname
English, Scottish, and French
English, Scottish, and French : nickname for a brave or
foolhardy man, from Old French, Middle English hardi ‘bold’,
‘courageous’ (of Germanic origin; compare Hard 1).Irish : in addition to being an importation of the English name,
this is also found as an Anglicized form (by partial translation) of
Gaelic Mac Giolla Deacair ‘son of the hard lad’.Scottish : variant spelling of Hardie 2.Bearers of the surname Hardy from Anjou and Normandy, France, are documented
in Quebec City in 1669. The secondary surnames Châtillon,
Boy/Male
American, Anglo, Arabic, Australian, British, Christian, English, German, Irish, Jamaican, Teutonic
Bard; Surname; Guardian; Watchman
Surname or Lastname
English
English : from the possessive case of the personal name Hard, denoting a son or servant of someone called Hard.
Male
English
Pet name for longer English names containing Hard- or Hart-, HARDY means "brave, hardy, strong."Â
Female
Japanese
(1-晴, 2-春, 3-陽) Japanese unisex name HARU means 1) "clear up," 2) "spring," or 3) "sun, sunlight."
Boy/Male
Hindu, Indian
Hearts Feelings
Surname or Lastname
English
English : variant of Heard.
Surname or Lastname
English (chiefly Yorkshire and Northumbria), also Scottish
English (chiefly Yorkshire and Northumbria), also Scottish : variant spelling of Heard.
Male
Japanese
(1-晴, 2-春, 3-陽) Japanese unisex name HARU means 1) "clear up," 2) "spring," or 3) "sun, sunlight." Compare with another form of Haru.
Boy/Male
British, Danish, Dutch, English, Swedish
Hard Strength; Firm; Brave; Hardy; Strong
Surname or Lastname
English
English : habitational name from Chard or South Chard in Somerset, recorded in Domesday Book as Cerdren, possibly from Old English ceart ‘rough heathland’ + ærn ‘building’, ‘dwelling’. In some instances the surname may have arisen simply as a topographic name from ceart.French : from the personal name Chard, a short form of Richard;French : habitational name for someone from Chard in the department of Creuse.
HARD SPHERES
HARD SPHERES
Boy/Male
Tamil
To embrace
Girl/Female
Arabic, Danish, Gujarati, Indian, Kannada, Muslim, Tamil
Happy; Flower; Healthy; Fertile Land without Rock and Stone
Boy/Male
Muslim
Religion, Faith, Belief
Boy/Male
Arabic, Muslim, Pakistani
A Word of Quran
Girl/Female
Hindu, Indian, Sanskrit
Mountainous
Girl/Female
Indian, Kannada, Sanskrit
Respectful; To be Worshipped; Life
Boy/Male
Hindu, Indian, Kannada, Telugu, Traditional
One who Lives in Pamba
Girl/Female
Hindu, Indian, Malayalam, Marathi
One who Attracts the World; Goddess Durga
Boy/Male
Indian, Tamil
Lord Ganesh
Girl/Female
Biblical Latin
Violent precipitation.
HARD SPHERES
HARD SPHERES
HARD SPHERES
HARD SPHERES
HARD SPHERES
v. t.
To harden; to make hard.
superl.
Difficult, mentally or judicially; not easily apprehended, decided, or resolved; as a hard problem.
a.
Hard-featured; ill-looking; as, Vulcan was hard-favored.
n.
The hard wing case of a beetle.
superl.
Rough; acid; sour, as liquors; as, hard cider.
a.
Having hard hands, as a manual laborer.
a.
Of a harsh or stern countenance; hard-featured.
adv.
With tension or strain of the powers; violently; with force; tempestuously; vehemently; vigorously; energetically; as, to press, to blow, to rain hard; hence, rapidly; as, to run hard.
superl.
Difficult to please or influence; stern; unyielding; obdurate; unsympathetic; unfeeling; cruel; as, a hard master; a hard heart; hard words; a hard character.
superl.
Not easily penetrated, cut, or separated into parts; not yielding to pressure; firm; solid; compact; -- applied to material bodies, and opposed to soft; as, hard wood; hard flesh; a hard apple.
superl.
Difficult to accomplish; full of obstacles; laborious; fatiguing; arduous; as, a hard task; a disease hard to cure.
superl.
Difficult to bear or endure; not easy to put up with or consent to; hence, severe; rigorous; oppressive; distressing; unjust; grasping; as, a hard lot; hard times; hard fare; a hard winter; hard conditions or terms.
superl.
Not easy or agreeable to the taste; stiff; rigid; ungraceful; repelling; as, a hard style.
v. t.
To comb with a card; to cleanse or disentangle by carding; as, to card wool; to card a horse.
n.
A plant; chard.
superl.
Wanting softness or smoothness of utterance; harsh; as, a hard tone.
adv.
With difficulty; as, the vehicle moves hard.
a.
Having hard or strong hands; as, a hard-fisted laborer.
v. t.
To confine (cattle) to the yard; to shut up, or keep, in a yard; as, to yard cows.
a. Vigorously
contested; as, a hard-fought battle.