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In the theory of optimal binary search trees, the interleave lower bound is a lower bound on the number of operations required by a Binary Search Tree
Interleave_lower_bound
Type of binary search tree
asymptotic lower bound on the work done by any binary search tree algorithm on the given access sequence. This is called the interleave lower bound. In order
Tango_tree
Computer science concept
The interleave lower bound is an asymptotic lower bound on dynamic optimality. Trees Splay tree Tango tree Geometry of binary search trees Interleave lower
Optimal_binary_search_tree
trees Self-balancing binary search tree Optimal binary search tree Interleave lower bound Demaine, Erik D.; Harmon, Dion; Iacono, John; Kane, Daniel; Pătraşcu
Geometry of binary search trees
Geometry_of_binary_search_trees
Scheme for controlling errors in data over noisy communication channels
convolutional interleavers random interleavers (where the interleaver is a known random permutation) S-random interleaver (where the interleaver is a known
Error_correction_code
Morpheme that is attached to a word stem to form a new word
or past tense by adding -ing or -ed to an English word. All of them are bound morphemes by definition; prefixes and suffixes may be separable affixes
Affix
Permutation that reverses binary numbers
bits within the binary representations of their indices can be used to interleave two equal-length sequences of data in-place. There are two extensions
Bit-reversal_permutation
Error-correcting codes
Reed–Solomon coding separated by a 28-way convolutional interleaver yields a scheme called Cross-Interleaved Reed–Solomon Coding (CIRC). The first element of
Reed–Solomon_error_correction
Variation of the minimax algorithm
has been reached. In an expectiminimax tree, the "chance" nodes are interleaved with the max and min nodes. Instead of taking the max or min of the utility
Expectiminimax
Mapping function that preserves data point locality
the two coordinates are identical. Since the shuffle interleaves bits from higher order to lower order, identifying the coordinate with the largest most
Z-order_curve
Sorting algorithm which uses multiple comparison intervals
Such a list is said to be h-sorted. It can also be thought of as h interleaved lists, each individually sorted. Beginning with large values of h allows
Shellsort
Mountain range in Kazakhstan and Kyrgyzstan
kind of mountain characterized by interleaving areas of vegetation, scattered rocks and snows. The range is bounded in the north by the Ili Depression
Trans-Ili_Alatau
Brand name; multi-GPU technology by Nvidia
processing power. The initialism SLI was first used by 3dfx for Scan-Line Interleave, which was introduced to the consumer market in 1998 and used in the Voodoo2
Scalable_Link_Interface
Algorithms which recursively solve subproblems
into two lists of about n/2 numbers each, sort each of them in turn, and interleave both results appropriately to obtain the sorted version of the given list
Divide-and-conquer_algorithm
Linear error correcting code
moderate depth (8 or 16 states) that are separated by a code interleaver which interleaves one copy of the frame. The LDPC code, in contrast, uses many
Low-density_parity-check_code
Principle of atomic physics
becomes bound, recovering the Madelung order. The application of perturbation-theory show that states with smaller n {\displaystyle n} have lower energy
Aufbau_principle
Authenticated encryption mode for block ciphers
is necessary to parallelize the hash computation, this can be done by interleaving k {\displaystyle k} times: X i ′ = { 0 for i ≤ 0 ( X i − k ′ ⊕ S i )
Galois/Counter_Mode
Public domain geocoding invented in 2008
like in this modern (2014) Geohash-integer version (based on directly interleaving 64-bit integers), but his geocode proposal was not human-readable and
Geohash
Particular execution of a computer program
multitasking is provided by CPU's time-sharing that is a method for interleaving the execution of users' processes and threads, and even of independent
Process_(computing)
Unproven computational hardness assumption
hierarchy of parameterized complexity classes called the M-hierarchy that interleaves the W-hierarchy in the sense that, for all i {\displaystyle i} , M [
Exponential_time_hypothesis
bound based aligned, 2 node_type bit(9), 2 c_lower fixed(24), 2 c_upper fixed(24), 2 c_multiplier fixed(24), 2 c_desc_multiplier fixed(24), 2 lower ptr
Data_descriptor
Geologic dome in Texas, United States
orogeny, and locally called the Llano Orogeny, tectonically shoved and interleaved together these strata. They were also further altered by metamorphism
Llano_Uplift
German WWII medium tank
chassis had originally been designed with a six-wheeled Schachtellaufwerk interleaved-road wheel suspension (as already adopted for German half-tracks), but
Panzer_IV
Search algorithm finding the position of a target value within a sorted array
C++'s standard library provides the functions binary_search(), lower_bound(), upper_bound() and equal_range(). Using the C++20 std::ranges library, it can
Binary_search
Geologic formation in Florida
isolated remnants. Beds of Tampa sediments interleave with bed of undifferentiated Arcadia sediments throughout the lower part of the Arcadia Formation. Areas
Arcadia_Formation
previous operators. It is a linear-time logic that assumes both the interleaving and fictitious-clock abstractions. It is defined over a point-based weakly
Metric_temporal_logic
Entropy coding method
this case, but it is actually not: we can merely subtract the lower bound from the upper bound to determine that there are 7200 numbers in our range; that
Range_coding
Method for determining the origin of a packet on the Internet
propose the following traceback scheme: instead of encoding the IP address interleaved with a hash, they suggest encoding the IP address into an 11-bit hash
IP_traceback
network to a smaller network implies impossibility of election in an interleaved model with bidirectional communication. The application of graph-theoretical
Fibrations_of_graphs
Dialect of Lisp
above example code is executed, although the text of one line may not be interleaved with another because that would violate the sequential evaluation constraint
Scheme_(programming_language)
Executing several computations during overlapping time periods
parallel. For example, concurrent processes can be executed on one core by interleaving the execution steps of each process via time-sharing slices: only one
Concurrent_computing
Signals broadcast by GPS satellites
using a low-density parity-check code, and then interleaved as a single unit using a block interleaver. All satellites broadcast at the same two frequencies
GPS_signals
English philosopher and physician (1632–1704)
his books interleaved, meaning that they were bound with blank sheets in-between the printed pages to enable annotations. Locke interleaved and annotated
John_Locke
Low-latency video compression standard
important properties. In addition, JPEG XS defines levels to represent a lower bound on the required throughput that conforming decoders need to support in
JPEG_XS
Resource problem in machine learning
reward of their actions. The earliest algorithms for this problem were InterleaveFiltering and Beat-The-Mean. The relative feedback of dueling bandits can
Multi-armed_bandit
Electrically insulating substance able to be polarised by an applied electric field
(CNT) composites. In 2013, multi-sheet layers of strontium titanate interleaved with single layers of strontium oxide produced a dielectric capable of
Dielectric
Data-flow programming paradigm
means of a Technical Disclosure Bulletin, "Data Responsive Modular, Interleaved Task Programming System", in 1971. An article describing its concepts
Flow-based_programming
Doppler radar designed for the Eurofighter Typhoon aircraft
scanning speed for a mechanically swivelled antenna, the radar can also interleave different radar modes, which would only otherwise be possible with phased
Euroradar_CAPTOR
Geologic thrust fault of the Rocky Mountains
thin skinned geometry as indicated by the array of thrust faults that interleave and overlap along strike and cut across strata at low to moderate angle
Lewis_Overthrust
Geology of peninsula in southwestern Europe
Above this are schists or shales with beds of turbidites or limestone interleaved. The stratigraphic sequence can be observed south west of Salamanca in
Geology of the Iberian Peninsula
Geology_of_the_Iberian_Peninsula
Hexagonal lattice made of carbon atoms
bandgap is non-zero. Graphene's honeycomb structure can be viewed as two interleaving triangular lattices. This perspective has been used to calculate the
Graphene
Barcode for use on U.S. mail
(toggling one bit results in an invalid character). The characters are interleaved throughout the symbol. The number of characters can be calculated from
Intelligent_Mail_barcode
Binary sequence
theorem, which states that if C is the sequence composed from A and B by interleaving the first bit of A, the first bit of B, the second bit of A, the second
Algorithmically random sequence
Algorithmically_random_sequence
Directed graph with no directed cycles
search based topological sorting algorithm, this validity check can be interleaved with the topological sorting algorithm itself; see e.g. Skiena, Steven
Directed_acyclic_graph
Season of television series
Myth statement Status Notes It is impossible to separate two phonebooks interleaved page-to-page due to the massive amount of friction between the 800 pages
MythBusters_(2008_season)
zero Packed pixel format An image format where the image channels are interleaved contiguously in memory, possibly containing multiple channels within
Glossary_of_computer_graphics
Scottish novelist (1771–1832)
the Canongate to Castle Dangerous). In his last years Scott marked up interleaved copies of these collected editions to produce a final version of what
Walter_Scott
Graph formed by subdivision of triangles
unique Schnyder wood, a partition of the edges of the graph into three interleaved trees rooted at the three vertices of the exterior face. The Apollonian
Apollonian_network
One-by-one assignment of colors to graph vertices
achieves this competitive ratio, and it is possible to prove a matching lower bound on the competitive ratio of any online coloring algorithm. A parsimonious
Greedy_coloring
Siamese kingdom in Southeast Asia (1351–1767)
forms, producing innovative "hybrid" poems such as Lilit (Thai: ลิลิต, an interleave of khlong and kap or rai verses) or Kap hor Klong (Thai: กาพย์ห่อโคลง
Ayutthaya_Kingdom
Recognition of events from videos or sensors
user's interleaving goals, a deterministic state transition model is applied. Another possible method models the concurrent and interleaving activities
Activity_recognition
Set of standards under development by the IEEE for real-time networking
per-class queuing and per-stream reshaping. Asynchronicity is achieved by interleaved shaping with traffic characterization based on Token Bucket Emulation
Time-Sensitive_Networking
November 1966 flood of the river Arno in Tuscany, Italy
techniques was applied: interleaving by hand and/or drying with the aid of domestic heaters or other mechanical equipment. Interleaving involved the placement
1966_flood_of_the_Arno
domains: an all-α-helical N-terminal domain (NTD) consisting of two interleaved 4-helix bundles, and a mixed α/β C-terminal domain (CTD). The two domains
Orange_carotenoid_protein
Basic circuit in quantum computing
run to completion. Measurement can even be randomly and concurrently interleaved qubit by qubit, since the measurements assignment of one qubit will limit
Quantum_logic_gate
Material made from a combination of two or more unlike substances
plies interleaved with hot glue, aluminium plies interleaved with acrylic polymers or PVC and carbon-fiber-reinforced polymer laminates interleaved with
Composite_material
Family of 1960s mainframe computers
computing capabilities of the CDC 6000 series computers. The unit contains interleaved core banks, each one ECS word (488 bits) wide and an 488 bit buffer for
CDC_6000_series
Type of feedforward neural network
receptive field size without increasing the number of parameters by interleaving visible and blind regions. Moreover, a single dilated convolutional layer
Convolutional_neural_network
Mandatory - A required multiplicity, the lower bound is at least one, usually 1..1 or 1 Optional - The lower bound is at most zero, usually, 0..1 Many -
Glossary of Unified Modeling Language terms
Glossary_of_Unified_Modeling_Language_terms
High-performance input/output architecture
IBM terminology, a multiplexer channel supports a number of concurrent interleaved slow-speed operations, each transferring one byte from a device at a
Channel_I/O
Linguistic model for phonological analysis
PhD dissertation, Universität Potsdam. Wolf, Matthew. (2008). Optimal Interleaving: Serial Phonology-Morphology Interaction in a Constraint-Based Model
Optimality_theory
Mathematical term
{j}{2}}\right\rceil \left\lceil {\frac {3j+1}{2}}\right\rceil } denote the sequence of interleaved pentagonal numbers, i.e., so that the pentagonal number theorem is expanded
Lambert_series
Programming paradigm in which many processes are executed simultaneously
Without synchronization, the instructions between the two threads may be interleaved in any order. For example, consider the following program: If instruction
Parallel_computing
Oceanographic Phenomenon
proposition relies on the presence of lateral property gradients to drive interleaving. This mechanism, where thermohaline intrusions are transformed into staircases
Thermohaline_staircase
Technique used in signal processing and data compression
the above proposed 3-D VR algorithm does not achieve the theoretical lower bound on the number of multiplications, it has a simpler computational structure
Discrete_cosine_transform
with panes of stamps (usually four panes), advertising panes and interleaving bound in. Until 1956 most booklets had half of the front cover devoted to
Definitive postage stamps of Ireland
Definitive_postage_stamps_of_Ireland
line of dot-making equipment on their print heads; others have a few interleaved rows in order to improve dot density. The first dot-matrix printers were
History_of_printing
Type of cipher
encryption and decryption are similar. IDEA derives much of its security by interleaving operations from different groups – modular addition and multiplication
Block_cipher
Grammar of the Vietnamese language
(ungrammatical) "Giap very eat." Anh hãy ăn đi! "Go ahead and eat!" A verb can interleave with a direct object for emphasis: biết to know + + thân phận social status
Vietnamese_grammar
Computer programming paradigm
consecutive array elements, developers can format the data stream as either interleaved arrays of structures (AoS) or separate structures of arrays (SoA). At
Stream_processing
NASA asteroid sample return mission (2016-2023)
bands and 11 narrow line bands. A 24-second resolution time tag was interleaved with the event data to account for Bennu rotation. Images were reconstructed
OSIRIS-REx
General-purpose, object-oriented programming language
that instanceMethod2With2Parameters:param2_callName: demonstrates the interleaving of selector segments with argument expressions, for which there is no
Objective-C
1937 economic paper by John Hicks
statement occurred. A statement can certainly be found in Chapter 14, interleaved with Keynes's criticisms of the classical theory of interest. E.g. Chapter
Mr._Keynes_and_the_"Classics"
{\displaystyle U(N)} or S O ( N ) {\displaystyle SO(N)} labelled by a chain of interleaved signatures, called a Gelfand–Tsetlin pattern. Explicit formulas for the
Restricted_representation
Standard for representing locations on Earth's surface in databases
identifiers incorporate literal values of latitude and longitude in an interleaved notation (producing grid resolutions of 10, 1, 0.1 degrees, etc.), together
C-squares
Ansaloni, Giovanni; Pozzi, Laura; Atienza, David (2019). "i-DPs CGRA: An Interleaved-Datapaths Reconfigurable Accelerator for Embedded Bio-Signal Processing"
Coarse-grained reconfigurable array
Coarse-grained_reconfigurable_array
Infinite sequence of numbers satisfying a linear equation
constant-recursive. More generally, every constant-recursive function is asymptotically bounded by an exponential function (see #Closed-form characterization) and the
Constant-recursive_sequence
Gramophone records with non standard features
Gramophone Company in London in 1898 and 1899: these were discs with two interleaved tracks, issued as E5504, 9290, 9296. Their most famous was a three-track
Unusual types of gramophone records
Unusual_types_of_gramophone_records
Microprocessor microarchitecture by AMD
approach is in contrast to the previous "interleaved" design, where the two 64-bit data channels were bounded to a single common address space. Larger
AMD_10h
English bishop and antiquarian (1660–1728)
as tabulated below. Chiefly: He also made copious annotations in an interleaved copy of the first edition of Wood's Athenæ Oxonienses. This copy was
White_Kennett
Long-baseline neutrino experiment in Japan
sub-detectors: Pi-Zero detector and a tracker with 2 Fine-Grained Detectors interleaved with 3 Time Projection Chambers, placed inside of a metal frame called
T2K_experiment
Geology of state of Australia
with beds of diamictite, dolomite, mudstone, tholeiite, and picrite interleaved with conglomerate. Also dykes of augite syenite, picrite and 580 Ma tholeiite
Geology_of_Tasmania
Spatial index that partitions space based on the bit-representation of keys
a single key with 2 d {\displaystyle 2d} dimensions, for example by interleaving them: k = { m i n 0 , m a x 0 , m i n 1 , m a x 1 , . . . , m i n d −
PH-tree
Opera by Modest Mussorgsky
presented him with a volume of Pushkin's dramatic works, interleaved with blank pages and bound, and using this, Mussorgsky began work in October 1868 preparing
Boris_Godunov_(opera)
with panes of stamps (usually four panes), advertising panes and interleaving bound in. Until 1956 most booklets had half of the front cover devoted to
Postage_stamps_of_Ireland
Deliberate violation of bridge rules
for cheating. Posing as a waiter, MacDougall claimed that Karn would interleave high and low cards when gathering a trick before his turn to deal. When
Cheating_in_bridge
1909 bronze statue of Scottish bard Robert Burns in Milwaukee, Wisconsin
the Scottish bard and poet Robert Burns, located in Burns Commons on the Lower East Side of Milwaukee, Wisconsin. The statue was designed by Scottish sculptor
Statue of Robert Burns (Milwaukee)
Statue_of_Robert_Burns_(Milwaukee)
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