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Topics referred to by the same term
crystal Periodic graph (geometry), a Euclidean graph preserved under a lattice of translations Periodic graph (graph theory), a graph that is periodic with
Periodic_graph
A Euclidean graph (a graph embedded in some Euclidean space) is periodic if there exists a basis of that Euclidean space whose corresponding translations
Periodic_graph_(geometry)
crystallography, a periodic graph or crystal net is a three-dimensional periodic graph, i.e., a three-dimensional Euclidean graph whose vertices or nodes
Periodic graph (crystallography)
Periodic_graph_(crystallography)
In graph theory, a branch of mathematics, a periodic graph with respect to an operator F on graphs is one for which there exists an integer n > 0 such
Periodic_graph_(graph_theory)
Function with a repeating pattern
its fundamental period. Geometrically, a periodic function's graph exhibits translational symmetry. Its graph is invariant under translation in the x {\displaystyle
Periodic_function
Periodic spatial graph
Laves graph is an infinite and highly symmetric system of points and line segments in three-dimensional Euclidean space, forming a periodic graph. Three
Laves_graph
Branch of mathematical chemistry
periodic graphs. Chemical graph generator Molecule mining MATH/CHEM/COMP Topological index Danail Bonchev, D.H. Rouvray (eds.) (1991) "Chemical Graph
Chemical_graph_theory
Tabular arrangement of the chemical elements
The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns
Periodic_table
Representation of molecules in terms of graph theory
Euclidean graphs, in particular, crystals as periodic graphs. Arthur Cayley was probably the first to publish results that consider molecular graphs as early
Molecular_graph
Directed graph whose edges are labelled invertibly by elements of a group
of a graph), d-dimensional integer lattices Z d {\displaystyle \mathbb {Z} ^{d}} (viewed as a group under vector addition, for defining periodic structures
Voltage_graph
Topic in algebraic graph theory
. A graph is periodic if and only if its (non-zero) eigenvalues are all rational multiples of each other. Moreover, a regular graph is periodic if and
Continuous-time_quantum_walk
Class of artificial neural networks
Graph neural networks (GNNs) are artificial neural networks designed for tasks whose inputs are graphs. Because graphs usually do not have a canonical
Graph_neural_network
Shape and form of a signal
the shape of its graph as a function of time, independent of its time and magnitude scales and of any displacement in time. Periodic waveforms repeat
Waveform
structures of the minerals known as zeolites. They are four-regular periodic graphs, with vertices representing the tetrahedral atom (usually Si or Al)
Hypothetical_zeolite
Type of graph in mathematics and physics
mathematics and physics, a quantum graph is a linear, network-shaped structure of vertices connected on edges (i.e., a graph) in which each edge is given a
Quantum_graph
Branch of geometry that studies combinatorial properties and constructive methods
packings Sphere packings Kepler conjecture Quasicrystals Aperiodic tilings Periodic graph Finite subdivision rules Structural rigidity is a combinatorial theory
Discrete_geometry
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
On tangency patterns of circles
by its graph of tangencies, but for this problem, the graph of tangencies is determined from the geometry, rather than vice versa. Among periodic infinite
Circle_packing_theorem
Mathematical function, denoted exp(x) or e^x
algebras. The graph of y = e x {\displaystyle y=e^{x}} is upward-sloping, and increases faster than every power of x {\displaystyle x} . The graph always
Exponential_function
Mathematical constant used in combinatorics
n × n {\displaystyle n\times n} grid graph has n 2 {\displaystyle n^{2}} vertices. When constructed with periodic boundary conditions (with edges that
Lieb's_square_ice_constant
metric Yevgraf Fyodorov, mathematician and crystallographer, identified Periodic graph in geometry, the first to catalogue all 230 space groups of crystals
List of Russian mathematicians
List_of_Russian_mathematicians
Topics referred to by the same term
automaton Aperiodic frequency Aperiodic graph Aperiodic semigroup Aperiodic set of prototiles Aperiodic tiling Periodic (disambiguation) Strange attractor
Aperiodic_(disambiguation)
Simple polynomial map exhibiting chaotic behavior
unstable. The above discussion of the stability of periodic points can be easily understood by drawing a graph, just like the fixed points. In this diagram
Logistic_map
Idea that the universe is a digital computation device
, pages 336–344 Fritz, Tobias (June 2013). "Velocity polytopes of periodic graphs and a no-go theorem for digital physics". Discrete Mathematics. 313
Digital_physics
Infinite graph containing all countable graphs
In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with
Rado_graph
Periodic distribution ("function") of "point-mass" Dirac delta sampling
(also known as sha function, impulse train or sampling function) is a periodic generalized function with the formula Ш T ( t ) := ∑ k = − ∞ ∞ δ ( t
Dirac_comb
Form of plane tiling without repeats at scale
constructing aperiodic tilings are known. Consider a periodic tiling by unit squares (it looks like infinite graph paper). Now cut one square into two rectangles
Aperiodic_tiling
Topics referred to by the same term
simplicial chain with 0 boundary Cycle (graph theory), a nontrivial path in a graph from a node to itself Cycle graph, a graph that is itself a cycle Cycle matroid
Cycle
Directed graph representing overlaps between sequences of symbols
In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices
De_Bruijn_graph
Forestry term for change in size of tree on annual basis
change in yield. When mean annual increment (MAI) and periodic annual increment (PAI) are graphed together, the point in which they intersect is called
Periodic_annual_increment
German physician and chemist (1830–1895)
He was one of the pioneers in developing the earliest versions of the periodic table of the chemical elements. The Russian chemist Dmitri Mendeleev (his
Lothar_Meyer
Chronology Evgraf Fedorov, mathematician and crystallographer, identified Periodic graph in geometry, the first to catalogue all of the 230 space groups of crystals
List_of_Russian_scientists
Type of chart
A line chart or line graph, also known as curve chart, is a type of chart that displays information as a series of data points called 'markers' connected
Line_chart
Index of articles associated with the same name
permutations Cyclic convolution, a method of combining periodic functions Cycle decomposition (graph theory) Cycle decomposition (group theory) Cyclic extension
Cyclic_(mathematics)
Graph of neutrons vs. protons in nuclides
A table or chart of nuclides is a two-dimensional graph of isotopes of the chemical elements, in which one axis represents the number of neutrons (symbol
Table_of_nuclides
Concept in differential geometry
In differential geometry, a triply periodic minimal surface (TPMS) is a minimal surface in R 3 {\displaystyle \mathbb {R} ^{3}} that is invariant under
Triply periodic minimal surface
Triply_periodic_minimal_surface
Graph able to be embedded on a torus
the mathematical field of graph theory, a toroidal graph is a graph that can be embedded on a torus. In other words, the graph's vertices and edges can be
Toroidal_graph
German mathematician (1886–1982)
mathematics. Bieberbach conjecture Bieberbach groups Angle trisection Periodic graph (geometry) Topological rigidity O'Connor, John J.; Robertson, Edmund
Ludwig_Bieberbach
function, Euler's number, Euler circles etc.) Yevgraf Fyodorov, identified Periodic graph in geometry, the first to identify all of the 230 space groups of crystals
List_of_Russian_people
including spectral geometry, Reinhardt domain, Ihara zeta function, and periodic graph)[citation needed] Sada Orihara - alumni, the first woman to attend Michiko
List of Tokyo Institute of Technology people
List_of_Tokyo_Institute_of_Technology_people
Philosophical argument
Retrieved 2015-05-02. Fritz, Tobias (June 2013). "Velocity polytopes of periodic graphs and a no-go theorem for digital physics". Discrete Mathematics. 313
Weyl's_tile_argument
Graphical representation of data
A chart (sometimes known as a graph) is a graphical representation for data and information visualization, in which "the data is represented by symbols
Chart
algorithm for constructing maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints,
List_of_algorithms
function: polynomial of degree zero, graph is a horizontal straight line Linear function: First degree polynomial, graph is a straight line. Quadratic function:
List of mathematical functions
List_of_mathematical_functions
British-American chemist
research is devoted to the theory of periodic structures (nets (periodic graph (crystallography)), tilings (periodic tessellations, and weavings (a higher
Michael_O'Keeffe_(chemist)
Class of chemical substance
and behaviour of materials at very low temperatures Crystal nets (periodic graphs) Electrocatalyst – Catalyst participating in electrochemical reactions
Metal–organic_framework
Topics referred to by the same term
linguist Laves phase, a class of intermetallic phases Laves graph, a periodic spatial graph Laves tiling, dual of an Archimedean tiling This disambiguation
Laves
French chemist and mineralogist (1820–1886)
De Chancourtois only published his paper, but did not publish his actual graph with the irregular arrangement. Although his publication was significant
Alexandre-Émile Béguyer de Chancourtois
Alexandre-Émile_Béguyer_de_Chancourtois
Variable-width bar chart Box plot Dispersion fan diagram Graph of a function Logarithmic graph paper Heatmap Line chart Pie chart Variable-radius pie chart
List_of_graphical_methods
Mathematical operation
is a special case of periodic convolution, which is the convolution of two periodic functions that have the same period. Periodic convolution arises, for
Circular_convolution
Graph where most nodes are reachable in a small number of steps
network example Hubs are bigger than other nodes A small-world network is a graph characterized by a high clustering coefficient and low distances. In an
Small-world_network
Intersection graph for a set of arcs on a circle
In graph theory, a circular-arc graph is the intersection graph of a set of arcs on the circle. It has one vertex for each arc in the set, and an edge
Circular-arc_graph
Graphing calculator by Texas Instruments
The TI-85 is a graphing calculator made by Texas Instruments and is powered by a Zilog Z80 microprocessor, as used in the TI-73 and TI-81 to TI-86. Designed
TI-85
Analysis of math functions with respect to time
often equally-spaced, time intervals. It is commonly visualized using a graph where the x-axis represents time and the y-axis represents the signal's
Time_domain
Shrikhande graph and the Hoffman graph are integral. A regular graph is periodic if and only if it is an integral graph. A walk-regular graph that admits
Integral_graph
Signal processing effect
[unreliable source?] Like the video camera, most sampling schemes are periodic; that is, they have a characteristic sampling frequency in time or in space
Aliasing
Polynomial function of degree two
if A<0; its graph forms a parabolic cylinder. Quadratic form Quadratic equation Matrix representation of conic sections Quadric Periodic points of complex
Quadratic_function
Geometry problem on tiling by hypercubes
reformulation of the problem in terms of the clique number of certain graphs now known as Keller graphs. The related Minkowski lattice cube-tiling conjecture states
Keller's_conjecture
Planar graph drawn by relaxing springs
In graph drawing and geometric graph theory, a Tutte embedding or barycentric embedding of a simple, 3-vertex-connected, planar graph is a crossing-free
Tutte_embedding
Measure of change in a periodic variable
amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). The amplitude of a non-periodic signal is
Amplitude
Multi-lobed plane curve
of the sinusoids that specify them. Graphs of roses are composed of petals. A petal is the shape formed by the graph of a half-cycle of the sinusoid that
Rose_(mathematics)
Constructs with triply-connected vertices
Hamiltonian graph. This is augmented by two additional rules: If a di > p/2, replace it by di − p; avoid repetition of a sequence of di if these are periodic and
Table_of_simple_cubic_graphs
Effect in signal processing
Gaussian windows. The graph labeled DTFT periodic8 is the DTFT of the truncated window labeled periodic DFT-even (both blue). The green graph labeled DTFT symmetric9
Spectral_leakage
First epoch of the Quaternary Period
glaciation by as much 120 metres (390 ft) lower than present, allowing the periodic connection of Asia and North America via the Beringia land bridge, and
Pleistocene
Probability of survival beyond any specified time
The graphs below show examples of hypothetical survival functions. The x-axis is time. The y-axis is the proportion of subjects surviving. The graphs show
Survival_function
Geometrical structure
Euclidean space, needs only n vectors to be defined. Lattice arrangements are periodic, and have the property that when the lattice is translated (moved) so that
Sphere_packing
Topics referred to by the same term
representation theory Block, in graph theory, is a biconnected component, a maximal biconnected subgraph of a graph Aschbacher block of a finite group
Block
Form taken by the network of interconnections of a circuit
of graph theory. Standard graph theory can be extended to deal with active components and multi-terminal devices such as integrated circuits. Graphs can
Circuit_topology_(electrical)
Type of mathematical expression
real variable can be represented by a graph. The graph of the zero polynomial f(x) = 0 is the x-axis. The graph of a degree 0 polynomial f(x) = a0, where
Polynomial
Signal representation
as in time series. While a time-domain graph shows how a signal changes over time, a frequency-domain graph shows how the signal is distributed within
Frequency_domain
Designing solid structures with tailored properties
energies as pillars or beams. Coordination polymers crystal nets (periodic graphs) Crystallography Laser-heated pedestal growth CrystEngComm Crystal
Crystal_engineering
Critical point on a surface graph which is not a local extremum
mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are
Saddle_point
Identity obeyed by many special functions related to the gamma function
non-principal characters may be given in the form of Dirichlet L-functions. The periodic zeta function is sometimes defined as F ( s ; q ) = ∑ m = 1 ∞ e 2 π i m
Multiplication_theorem
Visual representation of the spectrum of frequencies of a signal as it varies with time
intensity shown by varying the colour or brightness. A common format is a graph with two geometric dimensions: one axis represents time, and the other axis
Spectrogram
Energy range in a solid where no electron states exist
gap, is an energy range in a solid where no electronic states exist. In graphs of the electronic band structure of solids, the band gap refers to the energy
Band_gap
Series of graphing calculators
The TI-92 series are a line of graphing calculators produced by Texas Instruments. They include: the TI-92 (1995), the TI-92 II (1996), the TI-92 Plus
TI-92_series
Decomposition of periodic functions
A Fourier series (/ˈfʊrieɪ, -iər/) is a series expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example
Fourier_series
Crystallography database
online database and topological classification system for periodic nets - abstract graphs used to represent the connectivity of atoms, ions, or molecular
Reticular Chemistry Structure Resource
Reticular_Chemistry_Structure_Resource
Covering by shapes without overlaps or gaps
can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings
Tessellation
Cycles in a graph that generate all cycles
In graph theory, a branch of mathematics, a cycle basis of an undirected graph is a set of simple cycles that forms a basis of the cycle space of the
Cycle_basis
British chemist and crystallographer
Oxford: Oxford University Press. ISBN 978-0-19-965763-6. OCLC 801026482. Periodic graph (crystallography) Coordination geometry Michael O'Keeffe (chemist) List
Alexander_F._Wells
Discrete model of computation
simulates an infinite periodic tiling, and in the field of partial differential equations is sometimes referred to as periodic boundary conditions.) This
Cellular_automaton
Functions of an angle
graphs with those of the corresponding Hyperbolic functions highlights the relationships between the two. The sine and cosine functions are periodic,
Trigonometric_functions
Class of periodic mathematical functions
functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from
Elliptic_function
Type of statistical measure over subsets of a dataset
data coming in. One characteristic of the SMA is that if the data has a periodic fluctuation, then applying an SMA of that period will eliminate that variation
Moving_average
Arctangent function with two arguments
Mathematica classifies ArcTan[0,0] as an indeterminate expression. On most TI graphing calculators (excluding the TI-85 and TI-86), the equivalent function is
Atan2
Square root of the mean square
they are for any continuous periodic wave. However, this is not true for an arbitrary waveform, which may not be periodic or continuous. For a zero-mean
Root_mean_square
Interstellar comet in 2025
third interstellar object confirmed. The MPC also gave 3I/ATLAS the non-periodic comet designation C/2025 N1 (ATLAS). By the time 3I/ATLAS was officially
3I/ATLAS
American mathematician
Russian). Moscow: Mir. Berkolaiko, G.; Kuchment, P. "Introduction to Quantum Graphs". bookstore.ams.org. Retrieved 2025-06-09. "Peter Kuchment - The Mathematics
Peter_Kuchment
Oscillatory error in Fourier series
behavior of the Fourier series of a piecewise continuously differentiable periodic function around a jump discontinuity. The N {\textstyle N} th partial Fourier
Gibbs_phenomenon
Number, approximately 3.14
The constant π also appears naturally in Fourier series of periodic functions. Periodic functions are functions on the group T = R/Z of fractional parts
Pi
On finding a repeating loop in a sequence
μ. One can view the same problem graph-theoretically, by constructing a functional graph (that is, a directed graph in which each vertex has a single
Cycle_detection
Category of metallic elements
The metallic elements in the periodic table located between the transition metals to their left and the chemically weak nonmetallic metalloids to their
Post-transition_metal
Mathematical function, inverse of an exponential function
shown at the right: a point (t, u = bt) on the graph of f yields a point (u, t = logb u) on the graph of the logarithm and vice versa. As a consequence
Logarithm
Algebra of complex square matrices
(2010). "Association Schemes" (PDF). Godsil, Chris (2011-01-26). "Periodic Graphs". The Electronic Journal of Combinatorics. 18 (1): P23. arXiv:0806
Coherent_algebra
even atomic numbers are generally more common than their neighbors in the periodic table, due to their favorable energetics of formation, described by the
Abundance of the chemical elements
Abundance_of_the_chemical_elements
Comparatively high abundance of elements with atomic numbers near iron
Co and Ni) on the graph of the abundances of the chemical elements in the Solar System. For elements lighter than iron on the periodic table, nuclear fusion
Iron_peak
Field of mathematics and science based on non-linear systems and initial conditions
initial conditions, it must be topologically transitive, it must have dense periodic orbits. In some cases, the last two properties above have been shown to
Chaos_theory
Type of functional equation (mathematics)
General topics Initial values Boundary values Dirichlet Neumann Robin Cauchy Periodic Wronskian Abel's identity Sturm–Liouville theory Floquet theory Phase portrait
Differential_equation
Functions such that f(–x) equals f(x) or –f(x)
are those real functions whose graph is self-symmetric with respect to the y-axis, and odd functions are those whose graph is self-symmetric with respect
Even_and_odd_functions
PERIODIC GRAPH
PERIODIC GRAPH
Girl/Female
Afghan, Arabic, Hebrew, Muslim
Chosen; Happy; Name of First Lady Ruler of Medieval Period
Boy/Male
Arabic, Muslim
Period
Boy/Male
Gujarati, Hindu, Indian, Kannada, Tamil
Smart One; Creative and Active; Lived in North America During the Cretaceous Period
Girl/Female
Indian, Sanskrit
Period of 100 Years; Century
Girl/Female
Hindu
Hundred years, It means a period of years century
Girl/Female
Tamil
Shatabdi | ஷதாபà¯à®¤à¯€
Hundred years, It means a period of years century
Shatabdi | ஷதாபà¯à®¤à¯€
Boy/Male
Australian, Farsi, Vietnamese
Accomplished; To Attain; To Achieve; Period of Time; Age; Life
Boy/Male
Hindu, Indian
Sahadev's Name During Hiding Period
Girl/Female
Bengali, Hindu, Indian, Kannada, Sindhi
Period of Twilight
Girl/Female
Indian, Indonesian, Italian
Gift of God; Periodic
Boy/Male
Finnish, Hindu, Indian
Hindu Period of a Year
Boy/Male
Anglo, Australian, British, English
Name of a King; A Stream of Praise; A Period of Time
Girl/Female
Hindu
Hundred years, It means a period of years century
Boy/Male
Muslim
Period
Girl/Female
American, Finnish, Hindu, Indian, Japanese
Long Period of Time; Wind; Air
Girl/Female
Tamil
Circumstance, Period of life, Wick, Condition, Degree
Girl/Female
Tamil
Period of twilight
Girl/Female
Indian
Circumstance, Period of life, Wick, Condition, Degree
Female
Hebrew
(דּï‹×¨Ö´×™×ª) Hebrew name DORIT means "generation" or "period of time."
Girl/Female
Tamil
Shatabdee | ஷதாபà¯à®¤à¯€
Hundred years, It means a period of years century
PERIODIC GRAPH
PERIODIC GRAPH
Girl/Female
Tamil
Energetic, Brilliant
Boy/Male
Indian, Sanskrit
Saluted; Worshipped
Boy/Male
Hindu
Name of the emperor, With beautiful banner
Girl/Female
Polish
Girl/Female
Indian
White, Bright, Brilliant
Surname or Lastname
English
English : variant spelling of Male.
Boy/Male
Indian, Telugu
Lord Ayyappa
Boy/Male
Tamil
Subramanian | ஸà¯à®ªà¯à®°à®®à®¨à®¿à®¯à®¨
Senthil comes from the indian word which means, Lord Murugan
Girl/Female
French American Teutonic Latin German
Boy/Male
Australian, Finnish, Portuguese
Strong; Manly; Brave Man; Warrior
PERIODIC GRAPH
PERIODIC GRAPH
PERIODIC GRAPH
PERIODIC GRAPH
PERIODIC GRAPH
n.
A salt of periodic acid.
n.
A stated and recurring interval of time; more generally, an interval of time specified or left indefinite; a certain series of years, months, days, or the like; a time; a cycle; an age; an epoch; as, the period of the Roman republic.
a.
Of or pertaining to a period; constituting a complete sentence.
n. pl.
Alt. of Perioecians
a.
Surrounding, or pertaining to the region surrounding, the internal ear; as, the periotic capsule.
n.
A periotic bone.
a.
Related to, or formed from, pyridin or its homologues; as, the pyridic bases.
a.
Of or pertaining to the periople; connected with the periople.
n.
A portion of time as limited and determined by some recurring phenomenon, as by the completion of a revolution of one of the heavenly bodies; a division of time, as a series of years, months, or days, in which something is completed, and ready to recommence and go on in the same order; as, the period of the sun, or the earth, or a comet.
n.
One of the great divisions of geological time; as, the Tertiary period; the Glacial period. See the Chart of Geology.
a.
Pertaining to, derived from, or designating, the highest oxygen acid (HIO/) of iodine.
a.
Performed in a period, or regular revolution; proceeding in a series of successive circuits; as, the periodical motion of the planets round the sun.
a.
Alt. of Periodical
n.
An iodide containing a higher proportion of iodine than any other iodide of the same substance or series.
a.
Of or pertaining to a period or periods, or to division by periods.
a.
Happening, by revolution, at a stated time; returning regularly, after a certain period of time; acting, happening, or appearing, at fixed intervals; recurring; as, periodical epidemics.
v. i.
To come to a period; to conclude. [Obs.] "You may period upon this, that," etc.