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BKM algorithm: Overview & Logarithm function

The BKM algorithm is a shift-and-add algorithm for computing elementary functions, first published in 1994 by Jean-Claude Bajard, Sylvanus Kla, and Jean-Michel Muller. BKM is based on computing complex logarithms (L-mode) and exponentials (E-mode) using a method similar to the algorithm Henry Briggs used to compute logarithms. By using a precomputed…

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BKM algorithm topic overview

The analysis highlights Overview and Logarithm function as prominent areas in the source structure around BKM algorithm.

Related topics
19
Source areas
2
Connected nodes
21
Extracted relationships
3
Related term clusters
9
Bridge connections
21

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 17 topics
Logarithm function · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Logarithm function

For the semantics nerds

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Advanced semantic analysis

How BKM algorithm connects Entity context

The extracted context around BKM algorithm shows recurring relationship patterns in the source. For example, BKM algorithm → shift-and-add algorithm for computing elementary functions Another extracted example is BKM algorithm → BKM. Use these groups to spot repeated connection types before inspecting the individual relationships.

BKM algorithm

Top relations

is a · 1
BKM algorithm → shift-and-add algorithm for computing elementary functions
related to overview · 1
BKM algorithm → BKM

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

bkm algorithm displaystyle logarithms table elementary functions cordic doi retrieved iteration complex pdf 10 implementation computing isbn logarithm leq jean-michel

BKM algorithm relationships Subject–Predicate–Object triples

TTTA extracted 3 structured relationships around BKM algorithm. Examples in this analysis include BKM algorithm → is a → shift-and-add algorithm for computing elementary functions and polynomial or rational approximations will depend on the availability of fast multi-bit shifts → instance of → The relative performance of software BKM implementation in comparison to other methods. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
BKM algorithmis ashift-and-add algorithm for computing elementary functions0.90text
polynomial or rational approximations will depend on the availability of fast multi-bit shiftsinstance ofThe relative performance of software BKM implementation in comparison to other methods0.80text
BKM algorithmrelated to overviewBKM0.60section

Related concept clusters Related term clusters

The concept neighborhoods around BKM algorithm bring nearby vocabulary together. In this analysis, examples include Bkm, Elementary and Functions. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • BKM algorithm
    • Bkm
    • Elementary
    • Functions
    • Logarithms
    • Computing
    • Pages
    • Complex
    • Logarithm
    • Table
    • Retrieved
    • Cordic
    • Hardware
  • bkm algorithm
    • Bkm
    • Elementary
    • Functions
    • Logarithms
    • Using
    • Computing
    • Pages
    • Complex
    • Logarithm
    • Table
    • Exponential
    • Retrieved
  • shift-and-add algorithm
    • Bkm
    • Jean-claude
    • Algorithms
    • Using
    • Logarithm
    • Exponential
    • Computing
    • Function
    • Pages
    • Jean-michel
    • Muller
    • Elementary
  • elementary functions
    • Functions
    • Jean-claude
    • Algorithms
    • Complex
    • Implementation
    • Jean-michel
    • Muller
    • Pdf
    • Table
    • Shift-and-add
    • Cordic
    • Hardware
  • logarithm function
    • Leq
    • Value
    • Displaystyle
    • Exponential
    • Ln
    • Iteration
    • Logarithm
    • Logarithms
    • Table
    • Using
    • Input
    • Similar
  • logarithms
    • Similar
    • Table
    • Using
    • Cordic
    • Logarithm
    • Exponential
    • Function
    • Value
    • Iteration
    • Displaystyle
  • jean-michel muller
    • Muller
    • Shift-and-add
    • Hardware
    • Pages
    • Complex
    • Pdf
    • Table
    • Retrieved
  • binary logarithm
    • Value
    • Logarithms
    • Displaystyle
    • Table
    • Input
    • Similar
    • Using
    • Leq

Connections between topic areas Semantic bridges

For BKM algorithm, one of the stronger structural bridges in this analysis connects BKM algorithm with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
BKM algorithm — Overview · splits 4 ⟂ 18
BKM algorithm — Logarithm function · splits 19 ⟂ 3

Map overview Semantic statistics

BKM algorithm

Nodes22
Edges21
Triples3
Avg. degree1.91
Density0.090909
Components1

Source & methodology

TTTA analyzes the structure around BKM algorithm to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Overview & Logarithm function, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — BKM algorithm · EN edition · Analysis: TopicsToTalkAbout

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