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SCALABLE PARALLELISM

  • Scalable parallelism
  • Software exhibits scalable parallelism if it can make use of added processors to solve larger problems, i.e., this term refers to software for which Gustafson's

    Scalable parallelism

    Scalable_parallelism

  • Data parallelism
  • Parallelization across multiple processors in parallel computing environments

    message Instruction level parallelism Parallel programming model Prefix sum Scalable parallelism Segmented scan Thread level parallelism Some input data (e.g

    Data parallelism

    Data parallelism

    Data_parallelism

  • Threading Building Blocks
  • C++ programming library

    concurrent_map, concurrent_set Memory allocation: scalable_malloc, scalable_free, scalable_realloc, scalable_calloc, scalable_allocator, cache_aligned_allocator Mutual

    Threading Building Blocks

    Threading_Building_Blocks

  • Parallel computing
  • Programming paradigm in which many processes are executed simultaneously

    parallel computing: bit-level, instruction-level, data, and task parallelism. Parallelism has long been employed in high-performance computing, but has gained

    Parallel computing

    Parallel computing

    Parallel_computing

  • Scalable locality
  • principle, simultaneously produce scalable locality and scalable parallelism. David Wonnacott. Achieving Scalable Locality with Time Skewing. International

    Scalable locality

    Scalable_locality

  • Granularity (parallel computing)
  • Measure of the amount of work needed to perform a computing task

    task, parallelism can be classified into three categories: fine-grained, medium-grained and coarse-grained parallelism. In fine-grained parallelism, a program

    Granularity (parallel computing)

    Granularity_(parallel_computing)

  • Gustafson's law
  • Theoretical speedup formula in computer architecture

    research and development at the hardware and system software levels. Scalable parallelism Parkinson's law Jevons paradox McCool, Michael D.; Robison, Arch

    Gustafson's law

    Gustafson's law

    Gustafson's_law

  • Central processing unit
  • Central computer component that executes instructions

    CPUs devote a lot of semiconductor area to caches and instruction-level parallelism to increase performance and to CPU modes to support operating systems

    Central processing unit

    Central processing unit

    Central_processing_unit

  • AArch64
  • 64-bit extension of the ARM architecture

    also adds: Scalable Vector Extension 2 (SVE2). SVE2 builds on SVE's scalable vectorization for increased fine-grain Data Level Parallelism (DLP) to allow

    AArch64

    AArch64

    AArch64

  • Instruction-level parallelism
  • Ability of computer instructions to be executed simultaneously with correct results

    Instruction-level parallelism (ILP) is the parallel or simultaneous execution of a sequence of instructions in a computer program. More specifically,

    Instruction-level parallelism

    Instruction-level parallelism

    Instruction-level_parallelism

  • Treiber stack
  • Concurrent data structure

    Yerushalmi, L., 2004, June. A scalable lock-free stack algorithm. In Proceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures

    Treiber stack

    Treiber_stack

  • Tacit collusion
  • Collusion between competitors

    There are two types of tacit collusion: concerted action and conscious parallelism. In a concerted action, also known as concerted activity, competitors

    Tacit collusion

    Tacit_collusion

  • Bit-level parallelism
  • Form of parallel computing

    Bit-level parallelism is a form of parallel computing based on increasing processor word size. Increasing the word size reduces the number of instructions

    Bit-level parallelism

    Bit-level_parallelism

  • Spatial architecture
  • Array of processing elements specialized for parallelizable workloads

    consumption of running very large kernels through the exploitation of scalable parallelism and data reuse. Consider a kernel, i.e. a function to be applied

    Spatial architecture

    Spatial architecture

    Spatial_architecture

  • Loop optimization
  • Increasing execution speed and reducing the overheads associated with loops

    this writing (2010). Loop nest optimization Polytope model Scalable parallelism Scalable locality In the book Reasoning About Program Transformations

    Loop optimization

    Loop_optimization

  • Quantum computing
  • Computer hardware technology that uses quantum mechanics

    with a quantum state in superposition, sometimes referred to as quantum parallelism. Peter Shor built on these results in 1994 with polynomial-time quantum

    Quantum computing

    Quantum computing

    Quantum_computing

  • Apache Spark
  • Open-source data analytics cluster computing framework

    analytics engine for large-scale data processing. Spark provides an interface for programming clusters with implicit data parallelism and fault tolerance. Originally

    Apache Spark

    Apache Spark

    Apache_Spark

  • Traditional sub-Saharan African harmony
  • Music theory of harmony

    harmony in sub-Saharan African music based on the principles of homophonic parallelism (chords based around a leading melody that follow its rhythm and contour)

    Traditional sub-Saharan African harmony

    Traditional_sub-Saharan_African_harmony

  • Hogel processing unit
  • Hogel processing unit (HPU) is a computation for rendering hogels. HPU parallelism Since many (possibly hundreds) HPUs would be required to drive a single

    Hogel processing unit

    Hogel processing unit

    Hogel_processing_unit

  • Coarray Fortran
  • Fortran parallel programming extension

    Reliance on named critical sections for mutual exclusion hinders scalable parallelism by associating mutual exclusion with code regions rather than data

    Coarray Fortran

    Coarray_Fortran

  • Computer cluster
  • Set of computers configured in a distributed computing system

    Committee on Scalable Computing (TCSC) Reliable Scalable Cluster Technology, IBM[link removed] Tivoli System Automation Wiki Large-scale cluster management

    Computer cluster

    Computer cluster

    Computer_cluster

  • Automatic parallelization tool
  • Tool to convert sequential code to parallel

    Compiler Scalable parallelism SequenceL Binary Modular Dataflow Machine (BMDFM) “Increasing Parallelism on Multicore Processors Using Induced Parallelism”, by

    Automatic parallelization tool

    Automatic_parallelization_tool

  • Computer hardware
  • Physical components of a computer

    able to implement data parallelism, thread-level parallelism and request-level parallelism (both implementing task-level parallelism). Microarchitecture

    Computer hardware

    Computer hardware

    Computer_hardware

  • Very long instruction word
  • Computer architecture to aid parallelism

    of instruction set architecture designed to exploit instruction-level parallelism (ILP) by explicitly specifying, in advance, which instructions execute

    Very long instruction word

    Very_long_instruction_word

  • DeepSeek
  • Chinese artificial intelligence company

    needed] HaiScale Distributed Data Parallel (DDP): Parallel training library that implements various forms of parallelism such as data parallelism (DP), pipeline

    DeepSeek

    DeepSeek

  • Explicit data graph execution
  • Dataflow-based graph execution model.

    "hyperblock". Hyperblocks are designed to be able to easily run in parallel. Parallelism of modern CPU designs generally starts to plateau at about eight internal

    Explicit data graph execution

    Explicit_data_graph_execution

  • Shader
  • Type of program in computer graphics

    notably the distance from the viewing camera to allow active level-of-detail scaling. This allows objects close to the camera to have fine detail, while further

    Shader

    Shader

    Shader

  • Kunle Olukotun
  • British-born Nigerian computer scientist

    Science at Stanford University and the director of the Stanford Pervasive Parallelism Lab. Olukotun is known as the “father of the multi-core processor”, and

    Kunle Olukotun

    Kunle Olukotun

    Kunle_Olukotun

  • Message Passing Interface
  • Message-passing system for parallel computers

    parallel software industry, and encouraged development of portable and scalable large-scale parallel applications. The message passing interface effort began

    Message Passing Interface

    Message_Passing_Interface

  • La cathédrale engloutie
  • Piano composition by Claude Debussy

    Impressionist period called parallelism. There are two methods of parallelism in music; exact and inexact. Inexact parallelism allows the quality of the

    La cathédrale engloutie

    La cathédrale engloutie

    La_cathédrale_engloutie

  • CIFAR-10
  • Image dataset

    "GPipe: Efficient Training of Giant Neural Networks using Pipeline Parallelism". arXiv:1811.06965 [cs.CV]. Kabir, Hussain (2023-05-05). "Reduction of

    CIFAR-10

    CIFAR-10

  • Data-intensive computing
  • Class of parallel computing applications

    parallelism to be scaled with the volume of data. The most important reason for developing data-parallel applications is the potential for scalable performance

    Data-intensive computing

    Data-intensive_computing

  • Playwright (software)
  • End-to-end testing framework

    June 2023. "Library". Playwright. Microsoft. Retrieved 1 June 2023. "Parallelism and sharding". Playwright. Microsoft. Retrieved 1 June 2023. Attam, Arjun

    Playwright (software)

    Playwright_(software)

  • OpenMP
  • Open standard for parallelizing

    Interface (MPI), such that OpenMP is used for parallelism within a (multi-core) node while MPI is used for parallelism between nodes. There have also been efforts

    OpenMP

    OpenMP

    OpenMP

  • Network on a chip
  • Electronic communication subsystem on an integrated circuit

    links of the network-on-chip are shared by many signals. A high level of parallelism is achieved, because all data links in the NoC can operate simultaneously

    Network on a chip

    Network on a chip

    Network_on_a_chip

  • Frameworks supporting the polyhedral model
  • loop nest, and transform this code to simultaneously exploit scalable parallelism and scalable locality. A re-cap here, of the two approaches on this example

    Frameworks supporting the polyhedral model

    Frameworks_supporting_the_polyhedral_model

  • Concurrent computing
  • Executing several computations during overlapping time periods

    which can use parallelism or time-slicing to perform these tasks. Programs may exhibit parallelism only, concurrency only, both parallelism and concurrency

    Concurrent computing

    Concurrent_computing

  • D (programming language)
  • Multi-paradigm system programming language

    import std.parallelism : taskPool; /* On Intel i7-3930X and gdc 9.3.0: * 5140ms using std.algorithm.reduce * 888ms using std.parallelism.taskPool.reduce

    D (programming language)

    D (programming language)

    D_(programming_language)

  • Hyperbolic triangle
  • Triangle in hyperbolic geometry

    an ideal point, one angle is right: the third angle is the angle of parallelism for the length of the side between the right and the third angle. The

    Hyperbolic triangle

    Hyperbolic triangle

    Hyperbolic_triangle

  • Web crawler
  • Software that systematically browses the World Wide Web

    crawler allowing massive collection with high scalability Apache Nutch is a highly extensible and scalable web crawler written in Java and released under

    Web crawler

    Web crawler

    Web_crawler

  • Machine-learned interatomic potential
  • Interatomic potentials constructed by machine learning programs

    triplets or quadruplets of atoms, making it difficult to scale model size. Graph Parallelism, introduced by Sriram et al. (ICLR 2022), addressed this

    Machine-learned interatomic potential

    Machine-learned_interatomic_potential

  • Ferdinand Hodler
  • Swiss painter (1853–1918)

    style. Later, he adopted a personal form of Symbolism which he called "parallelism". Hodler was born in Bern, the eldest of six children. His father, Johannes

    Ferdinand Hodler

    Ferdinand Hodler

    Ferdinand_Hodler

  • Portable, Extensible Toolkit for Scientific Computation
  • structures and routines developed by Argonne National Laboratory for the scalable (parallel) solution of scientific applications modeled by partial differential

    Portable, Extensible Toolkit for Scientific Computation

    Portable,_Extensible_Toolkit_for_Scientific_Computation

  • Season
  • Division of the year

    hours in a given region. On Earth, seasons are the result of the axial parallelism of Earth's tilted orbit around the Sun. In temperate and polar regions

    Season

    Season

    Season

  • Self-compassion
  • Extending compassion to one's self in instances of suffering or failure

    of different scales in questionnaire form. They were as follows: The 26-item Self-Compassion Scale, the 10-item Rosenberg Self-esteem Scale, the 10-item

    Self-compassion

    Self-compassion

  • Affine transformation
  • Geometric transformation that preserves lines but not angles nor the origin

    "connected with") is a geometric transformation that preserves lines and parallelism, but not necessarily Euclidean distances and angles. More generally,

    Affine transformation

    Affine transformation

    Affine_transformation

  • SQL Anywhere
  • Relational database management system

    Version 10: 2006 – renamed SQL Anywhere (high availability, intra-query parallelism, materialized views) Version 11: 2008 (full text search, BlackBerry support)

    SQL Anywhere

    SQL_Anywhere

  • Single instruction, multiple data
  • Type of parallel processing

    should not be confused with an ISA. Such machines exploit data level parallelism, but not concurrency: there are simultaneous (parallel) computations

    Single instruction, multiple data

    Single instruction, multiple data

    Single_instruction,_multiple_data

  • Transformer (deep learning)
  • Algorithm for modelling sequential data

    Model parallelism divides a model itself across devices. Tensor parallelism splits operations within individual layers, while pipeline parallelism assigns

    Transformer (deep learning)

    Transformer (deep learning)

    Transformer_(deep_learning)

  • Amdahl's law
  • Formula in computer architecture

    s)=(1−p)TO+psT. It follows from Amdahl's law that the speedup due to parallelism is given by Slatency(O,s)=T(O)T(O,s)=(1−p)1O+p1−pO+ps. When s=1, we have

    Amdahl's law

    Amdahl's law

    Amdahl's_law

  • Supercomputer architecture
  • Design of high-performance computers

    pioneered by Seymour Cray relied on compact innovative designs and local parallelism to achieve superior computational peak performance. However, in time

    Supercomputer architecture

    Supercomputer architecture

    Supercomputer_architecture

  • NVM Express
  • Interface used for connecting storage devices

    interface, has been designed to capitalize on the low latency and internal parallelism of solid-state storage devices. Architecturally, the logic for NVMe is

    NVM Express

    NVM Express

    NVM_Express

  • JPEG XS
  • Low-latency video compression standard

    degree of parallelism is available in the implementation. For instance, a multi-core CPU implementation will leverage coarse-grained parallelism, while a

    JPEG XS

    JPEG_XS

  • Maned wolf
  • Species of carnivore

    endemic canids: a history of rapid diversification and morphological parallelism". Journal of Evolutionary Biology. 23 (2): 311–322. doi:10.1111/j.1420-9101

    Maned wolf

    Maned wolf

    Maned_wolf

  • Extract, transform, load
  • Procedure in computing

    processes on a graph, and trying to reduce the graph making maximum use of parallelism, and making "chains" of consecutive processing as short as possible.

    Extract, transform, load

    Extract, transform, load

    Extract,_transform,_load

  • AMD XDNA
  • AMD neural processing unit microarchitecture

    parallel with minimal external memory access. This design leverages parallelism and data locality to optimize performance and power efficiency. Each

    AMD XDNA

    AMD XDNA

    AMD_XDNA

  • LAPACK
  • Software library for numerical linear algebra

    caches on modern cache-based architectures and the instruction-level parallelism of modern superscalar processors, and thus can run orders of magnitude

    LAPACK

    LAPACK

    LAPACK

  • Mind–body problem
  • Open question in philosophy of how abstract minds interact with physical bodies

    whether other systems of equal complexity lack such features. The massive parallelism of neural networks allows redundant populations of neurons to mediate

    Mind–body problem

    Mind–body problem

    Mind–body_problem

  • Steamroller (microarchitecture)
  • Microarchitecture by AMD

    modules as their predecessors, while aiming at achieving greater levels of parallelism. Steamroller still features two-core modules found in Bulldozer and Piledriver

    Steamroller (microarchitecture)

    Steamroller_(microarchitecture)

  • Algorithmic skeleton
  • Parallel programming model

    In computing, algorithmic skeletons, or parallelism patterns, are a high-level parallel programming model for parallel and distributed computing. Algorithmic

    Algorithmic skeleton

    Algorithmic_skeleton

  • Dell Technologies PowerFlex
  • Software-defined storage product

    device to achieve the highest possible levels of performance through parallelism. This performance is also greatly utilized to achieve PowerFlex's 6 nines

    Dell Technologies PowerFlex

    Dell_Technologies_PowerFlex

  • Unified Parallel C
  • Extension of the C programming language

    amount of parallelism is fixed at program startup time, typically with a single thread of execution per processor. In order to express parallelism, UPC extends

    Unified Parallel C

    Unified_Parallel_C

  • AWS Lambda
  • Serverless computing platform

    configuration makes AWS Lambda suitable for workloads that scale horizontally or leverage parallelism but less optimal for applications that require high single-thread

    AWS Lambda

    AWS Lambda

    AWS_Lambda

  • Dask (software)
  • Python library for parallel computing

    computation with no parallelism. It is used for debugging purposes. Dask's distributed scheduler can be set up on a local machine or scale out on a cluster

    Dask (software)

    Dask (software)

    Dask_(software)

  • Geometric transformation
  • Bijection of a set using properties of shapes in space

    between distances (e.g., resizing); Affine transformations preserve parallelism (e.g., scaling, shear); Projective transformations preserve collinearity; Each

    Geometric transformation

    Geometric_transformation

  • M.2
  • Standard for miniature computer expansion cards

    capitalizing on the low latency and enhanced parallelism of PCI Express SSDs, and complementing the parallelism of contemporary CPUs, platforms and applications

    M.2

    M.2

    M.2

  • DeepSpeed
  • Microsoft open source library

    power and memory use and to train large distributed models with better parallelism on existing computer hardware. DeepSpeed is optimized for low latency

    DeepSpeed

    DeepSpeed

    DeepSpeed

  • ALGLIB
  • Open source numerical analysis library

    functionality of commercial and GPL versions, with enhancements for speed and parallelism provided in the commercial version The most actively developed parts

    ALGLIB

    ALGLIB

  • Radix sort
  • Non-comparative lexicographical sorting algorithm

    in it, and no parallelism would be available. For random inputs all bins would be near equally populated and a large amount of parallelism opportunity would

    Radix sort

    Radix_sort

  • Ceph (software)
  • Open-source storage platform

    ASCI/DOD Scalable I/O History and Strategy" (PDF). University of Minnesota. Retrieved 2019-07-17. Dynamic Metadata Management for Petabyte-Scale File Systems

    Ceph (software)

    Ceph_(software)

  • MFEM
  • Open-source C++ library

    and non-conforming (quadrilateral/hexahedral meshes). Highly scalable MPI-based parallelism and GPU acceleration. Wide variety of finite element discretization

    MFEM

    MFEM

    MFEM

  • Yousef Saad
  • American mathematician

    Methods for Large Scale Computations. North Holland, Amsterdam, 1989. D. E. Keyes, Y. Saad, and D. G. Truhlar, Domain-Based Parallelism and Problem Decomposition

    Yousef Saad

    Yousef_Saad

  • Single program, multiple data
  • Computing technique used to achieve parallelism

    term that has been used to refer to computational models for exploiting parallelism whereby multiple processors cooperate in the execution of a program in

    Single program, multiple data

    Single_program,_multiple_data

  • David Culler
  • American computer scientist

    member of the National Academy of Engineering in 2005 for contributions to scalable parallel processing systems, including architectures, operating systems

    David Culler

    David_Culler

  • Programming with Big Data in R
  • bundles scalable dense linear algebra libraries in double precision for R, based on ScaLAPACK version 2.0.2 which includes several scalable linear algebra

    Programming with Big Data in R

    Programming_with_Big_Data_in_R

  • Parallel key
  • Major and minor scales with same tonic

    and Dusty Springfield's "You Don't Have To Say You Love Me". Harmonic parallelism List of major/minor compositions Picardy third Voice leading Benward

    Parallel key

    Parallel_key

  • Compare-and-swap
  • Atomic computer processor instruction

    e., system and user tasks) and processor (i.e., central processors) parallelism while eliminating, to the greatest degree possible, the "disabled spinlocks"

    Compare-and-swap

    Compare-and-swap

  • TRIPS architecture
  • Microprocessor architecture

    parallelism by the capabilities of the compiler, not the on-chip systems. Whereas modern processors are reaching a plateau at four-wide parallelism,

    TRIPS architecture

    TRIPS architecture

    TRIPS_architecture

  • RevoScaleR
  • the level of parallelism, such as the size of the data chunk for each process or number of processes to build the model. However, parallelism is only available

    RevoScaleR

    RevoScaleR

  • PaLM
  • Large language model developed by Google

    combination of model and data parallelism, which was the largest TPU configuration. This allowed for efficient training at scale, using 6,144 chips, and marked

    PaLM

    PaLM

    PaLM

  • Roofline model
  • Visual performance model

    added ceilings represent the lack of instruction level parallelism and task level parallelism. An example roofline model with locality walls. The wall

    Roofline model

    Roofline model

    Roofline_model

  • Merge sort
  • Divide and conquer sorting algorithm

    This parallel merge algorithm reaches a parallelism of Θ(n(log⁡n)2), which is much higher than the parallelism of the previous algorithm. Such a sort can

    Merge sort

    Merge sort

    Merge_sort

  • Multi-core network packet steering
  • Network packet distribution with multiple cores

    "Partition-Aware Packet Steering Using XDP and eBPF for Improving Application-Level Parallelism". Proceedings of the 1st ACM CoNEXT Workshop on Emerging in-Network Computing

    Multi-core network packet steering

    Multi-core network packet steering

    Multi-core_network_packet_steering

  • Similarity (geometry)
  • Property of objects which are scaled or mirrored versions of each other

    translation vector. Similarities preserve planes, lines, perpendicularity, parallelism, midpoints, inequalities between distances and line segments. Similarities

    Similarity (geometry)

    Similarity (geometry)

    Similarity_(geometry)

  • RDNA 3
  • GPU microarchitecture by AMD

    connected via traces on an organic substrate. This approach is easily scalable in a cost-effective manner but has the drawbacks of increased latency,

    RDNA 3

    RDNA 3

    RDNA_3

  • Transport triggered architecture
  • Type of computer processor design

    the buses, which provides opportunities for instruction-level parallelism. The parallelism is statically defined by the programmer. In this respect (and

    Transport triggered architecture

    Transport_triggered_architecture

  • Galois/Counter Mode
  • Authenticated encryption mode for block ciphers

    on a message, interleaving those operations using instruction-level parallelism can increase performance. This process is called function stitching,

    Galois/Counter Mode

    Galois/Counter_Mode

  • InfiniDB
  • Database management software company based in Frisco, Texas

    developed InfiniDB, a scalable, software-only columnar database management system for analytic applications. InfiniDB is a scalable database built for big

    InfiniDB

    InfiniDB

  • Theoretical computer science
  • Subfield of computer science and mathematics

    parallel computing: bit-level, instruction level, data, and task parallelism. Parallelism has been employed for many years, mainly in high-performance computing

    Theoretical computer science

    Theoretical computer science

    Theoretical_computer_science

  • XFS
  • Journaling file system for IRIX and Linux

    manages its own inodes and free space separately, providing scalability and parallelism so multiple threads and processes can perform I/O operations

    XFS

    XFS

  • The Poem of Seven Steps
  • Highly allegorical poem usually attributed to Cao Zhi

    (redundant or otherwise superfluous) lines, which serves the purpose of parallelism but does not add any additional meaning already conveyed (within the

    The Poem of Seven Steps

    The_Poem_of_Seven_Steps

  • Blue and White Porcelain
  • 2007 song by Jay Chou

    common to omit certain components in poetry and lyrics for the sake of parallelism, rhythm, and harmony, such omissions should not lead to ambiguity or

    Blue and White Porcelain

    Blue_and_White_Porcelain

  • Skip list
  • Probabilistic data structure

    parallel without any global rebalancing of the data structure. Such parallelism can be especially advantageous for resource discovery in an ad-hoc wireless

    Skip list

    Skip_list

  • Kathryn S. McKinley
  • American computer scientist

    and her advisor, Ken Kennedy showed how to use this model to introduce parallelism with locality and eliminate false sharing. This work was selected in

    Kathryn S. McKinley

    Kathryn S. McKinley

    Kathryn_S._McKinley

  • Gecko (software)
  • Open-source HTML layout engine

    engine designed from scratch with the goals of improving concurrency and parallelism while also reducing memory safety vulnerabilities. Servo is written in

    Gecko (software)

    Gecko_(software)

  • University of Illinois Center for Supercomputing Research and Development
  • American research center, 1985–1995

    Leasure, and Mike Wolfe). The key Cedar idea was to exploit feasible-scale parallelism, by linking together a number of shared memory nodes through an interconnection

    University of Illinois Center for Supercomputing Research and Development

    University_of_Illinois_Center_for_Supercomputing_Research_and_Development

  • Multiple instruction, multiple data
  • Computing technique employed to achieve parallelism

    instruction, multiple data (MIMD) is a technique employed to achieve parallelism. Machines using MIMD have a number of processor cores that function asynchronously

    Multiple instruction, multiple data

    Multiple instruction, multiple data

    Multiple_instruction,_multiple_data

  • Saj'
  • Form of rhymed prose in Arabic literature

    and use of end-rhyme, meter, and parallelism. There are two types of parallelism in saj': iʿtidāl (rhythmical parallelism, meaning "balance") and muwāzana

    Saj'

    Saj'

  • Two-dimensional space
  • Mathematical space with two coordinates

    symplectic surface. The projective plane does away with both distance and parallelism. A two-dimensional metric space has some concept of distance but it need

    Two-dimensional space

    Two-dimensional_space

  • Feynman–Kac formula
  • Formula relating stochastic processes to partial differential equations

    prohibitive. One key advantage of the SDE-based method is its natural parallelism—each simulation, or realization, can be computed independently—making

    Feynman–Kac formula

    Feynman–Kac_formula

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