Search references for WOLFRAM MATHEMATICA. Phrases containing WOLFRAM MATHEMATICA
See searches and references containing WOLFRAM MATHEMATICA!WOLFRAM MATHEMATICA
Computational software program
Wolfram Mathematica (also known as Mathematica) is a software system with built-in libraries for several areas of technical computing that allows machine
Wolfram_Mathematica
Programming language and environment developed by Wolfram Research
mathematical symbolic computation program Mathematica. The Wolfram Language was part of the initial version of Mathematica in 1988. Symbolic aspects of the engine
Wolfram_Language
American multinational company
Wolfram Mathematica, first released on June 23, 1988. Other products include WolframAlpha, Wolfram System Modeler, Wolfram Workbench, gridMathematica
Wolfram_Research
British-American scientist (born 1959)
businessman, Wolfram is the founder and CEO of the software company Wolfram Research, where he works as chief designer of Mathematica and the Wolfram Alpha answer
Stephen_Wolfram
List of programming languages types and the languages that meet its description
MATLAB Octave PL/I Q R Raku S Scilab S-Lang SequenceL Speakeasy Wolfram Mathematica (Wolfram language) X10 ZPL Aspect-oriented programming enables developers
List of programming languages by type
List_of_programming_languages_by_type
Search and answer engine
engine is based on Wolfram's earlier product Wolfram Mathematica, a technical computing platform. The coding is written in Wolfram Language, a general
WolframAlpha
Numerical technique
0.8 < x < 3 {\displaystyle 0.8<x<3} using the Monte-Carlo method in Mathematica: func[x_] := 1/(1 + Sinh[2*x]*(Log[x])^2); (*Sample from truncated normal
Monte_Carlo_integration
Topics referred to by the same term
language used by Mathematica Wolfram code, a naming system for one-dimensional cellular automaton rules introduced by Stephen Wolfram Wolfram syndrome, a genetic
Wolfram
Operating system
version that includes additional software such as LibreOffice and Wolfram Mathematica. The operating system is available as a free download and can be
Raspberry_Pi_OS
Software used in mathematical applications
Magnus Maple Mathcad Mathematica Mathomatic Maxima PARI/GP REDUCE SageMath Scilab SMath Studio Symbolic Math Toolbox (MATLAB) SymPy Wolfram Alpha Xcas / Giac
Mathematical_software
Theano Torch Tree-based pipeline optimization tool XGBoost Weka Wolfram Mathematica Examples of Data engineering tools. Apache Airflow Apache Flink Apache
List_of_data_science_software
Open source software demonstrations
Demonstrations run in Mathematica 6 or above and in Wolfram CDF Player, which is a free modified version of Wolfram Mathematica and available for Windows
Wolfram Demonstrations Project
Wolfram_Demonstrations_Project
Online mathematics reference work
unavailable. List of online encyclopedias Wolfram Mathematica Eric Weisstein (2007). "Making MathWorld". Mathematica Journal. 10 (3). Archived from the original
MathWorld
Programming tool blending code and documents
CoCalc Google Colab Wolfram Mathematica Kaggle Notebooks Mathcad MATLAB – Live Editor since 2016. Databricks cloud (founded 2013). WolframAlpha Notebooks List
Notebook_interface
Constructed alien languages
characters and definitions were developed, Stephen Wolfram, computer scientist and founder of Wolfram Mathematica, and his son, Christopher, were asked to analyze
Heptapod_languages
Measure of linear correlation
the methods pandas.DataFrame.corr and polars.corr, respectively. Wolfram Mathematica via the Correlation function, or (with the p-value) with CorrelationTest
Pearson correlation coefficient
Pearson_correlation_coefficient
Fractal sets in complex dynamics of mathematics
BoleemanSoftware Retail Cross-platform Bryce Maple Ultra Fractal Wolfram Mathematica Windows only VisSim Scenery generator MojoWorld Generator Picogen
Julia_set
Topics referred to by the same term
Look up mathematica in Wiktionary, the free dictionary. Wolfram Mathematica is a computer algebra system and programming language. Mathematica may also
Mathematica_(disambiguation)
Tabular comparison of deep learning software
"Launching Mathematica 10". Wolfram. "Wolfram Neural Net Repository of Neural Network Models". resources.wolframcloud.com. "Parallel Computing—Wolfram Language
Comparison of deep learning software
Comparison_of_deep_learning_software
theorist, theoretical computer scientist, and expert on the use of Wolfram Mathematica in teaching mathematics. His 1981 book The Mathematics of Games and
Edward_W._Packel
No Vectorworks Commercial software Yes Yes Wings 3D BSD Yes Yes Wolfram Mathematica Commercial software Yes Yes ViaCAD Commercial software Yes Yes (as
List_of_3D_modeling_software
with the Mathematica environment. Users can develop, simulate, document, and analyze their Wolfram System Modeler models within Mathematica notebooks
Wolfram_SystemModeler
Correspondence between quaternions and 3D rotations
Hamilton multiplication convention Shuster multiplication convention Wolfram Mathematica MATLAB Robotics System Toolbox MATLAB Aerospace Toolbox ROS Eigen
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Mathematical software
early 2000s saw the release of WolframAlpha, an online search engine and CAS which includes the capabilities of Mathematica. More recently, computer algebra
Computer_algebra_system
Any one of the distinct objects that make up a set in set theory
element Singleton (mathematics) Weisstein, Eric W. "Element". mathworld.wolfram.com. Retrieved 2020-08-10. Eric Schechter (1997). Handbook of Analysis
Element_of_a_set
British technologist and businessman
Stephen Wolfram, the maker of Mathematica software and the Wolfram Alpha knowledge engine. Wolfram has led the effort to move the use of Mathematica from
Conrad_Wolfram
"Generative Line Art with Blender". Medium. Wolfram, Stephen (28 December 2018). "The Story of Spikey". Stephen Wolfram Writings. "Ultimate Math Library | Utilities
List of mathematical art software
List_of_mathematical_art_software
Elementary cellular automaton
Mathematica, and has also been proposed as a possible stream cipher for use in cryptography. Rule 30 is so named because 30 is the smallest Wolfram code
Rule_30
Method for evaluating indefinite integrals
1993) has an elementary antiderivative, as Wolfram Mathematica since version 13 shows (however, Mathematica does not use the Risch algorithm to compute
Risch_algorithm
Idealized thermodynamic cycle
article (24 pages [2]), also at [3]. Hyperphysics article on the Carnot cycle. S. M. Blinder Carnot Cycle on Ideal Gas powered by Wolfram Mathematica
Carnot_cycle
Array representation in computer memory
is to use lists of lists, e.g., in Python, and in the Wolfram Language of Wolfram Mathematica. An alternative approach uses tables of tables, e.g., in
Row-_and_column-major_order
File format
interactive content. CDF was created by Wolfram Research, and CDF files can be created using Mathematica. As of 2021, the Wolfram Research website lists CDF as
Computable_Document_Format
Statistical hypothesis test
Microsoft Excel, SAS, SPSS, Stata, DAP, gretl, R, Python, PSPP, Wolfram Mathematica, MATLAB and Minitab, include implementations of Student's t-test
Student's_t-test
Mathematical curve outputted from a specific pair of parametric equations
generator – JavaScript applet using JSXGraph Animated Lissajous figures Lissajous Figures demonstration with interactive sliders from Wolfram Mathematica
Lissajous_curve
Most widely known generalized inverse of a matrix
inverse pinv() implemented via singular-value decomposition. In Wolfram Mathematica the built-in function PseudoInverse works for both symbolic and numerical
Moore–Penrose_inverse
Study of mathematical knots
Machine — online database and image generator of knots KnotData.html — Wolfram Mathematica function for investigating knots Regina Archived 2022-08-11 at the
Knot_theory
Deep neural network for image classification, released 2016
Network eXchange. "SqueezeNet V1.1 Trained on ImageNet Competition Data". Wolfram Neural Net Repository. Retrieved 2018-05-12. "SqueezeNet". Short Science
SqueezeNet
Virtual library
E-Books Taylor & Francis Group Thomson Reuters Wiley Wolters Kluwer Wolfram Mathematica "Libraries – Egyptian Knowledge Bank". Cairo Governate. Archived
Egyptian_Knowledge_Bank
Google Shell, a browser-based front-end for Google Search MATLAB Wolfram Mathematica ROOT Comparison of command shells cygwin – Unix-like environment
List of command-line interpreters
List_of_command-line_interpreters
Version 14.3 of Wolfram Language & Mathematica". 5 August 2025. Retrieved 12 November 2025. Cohen, Peter (2009-02-05). "Mathematica Home Edition Released"
List of computer algebra systems
List_of_computer_algebra_systems
gridMathematica is a software product sold by Wolfram Research which extends the parallel processing capabilities of its main product Mathematica. gridMathematica
GridMathematica
Geometric surface
helicoid constructed from the tractrix. Breather surface Kuen surface "Wolfram Mathworld: Dini's Surface". Retrieved 2009-11-12. J J O'Connor and E F
Dini's_surface
Overview of and topical guide to machine learning
transformation Winnow (algorithm) Win–stay, lose–switch Witness set Wolfram Language Wolfram Mathematica Writer invariant Xgboost Yooreeka Zeroth (software) Trevor
Outline_of_machine_learning
ISBN 978-0-387-09623-0. "New Features Everywhere: Launching Version 14.3 of Wolfram Language & Mathematica". Retrieved 2025-08-05. OR/MS Today: 2013 Linear Programming
Comparison of optimization software
Comparison_of_optimization_software
org/pdf_paper_view.php?paper_id=2214&7-ISROSET-IJSRMSS-05130.pdf Wolfram Mathematica Online Integrator Moll, Victor Hugo. "List with the formulas and
List of integrals of exponential functions
List_of_integrals_of_exponential_functions
Educational mathematics application
Microsoft Mathematics 4.0 are: Grapher Maple (software) Symbolab Wolfram Mathematica WolframAlpha "Microsoft Maths Solver". Google Play Store. "Microsoft
Microsoft_Math_Solver
Family of probability distributions
simulation tool. Tamara – project risk analysis simulation tool. Wolfram Mathematica – mathematical symbolic computation program. R (programming language):
PERT_distribution
Ability of a computer to receive and interpret intelligible handwritten input
other digital ink technologies developed by P&I from Vadem in 1999. Wolfram Mathematica (8.0 or later) also provides a handwriting or text recognition function
Handwriting_recognition
Subfield of automated reasoning and mathematical logic
PVS SPARK (programming language) Twelf Z3 Theorem Prover CARINE Wolfram Mathematica ResearchCyc Curry–Howard correspondence Symbolic computation Ramanujan
Automated_theorem_proving
Approach in data analysis
that contains some algorithms for unsupervised anomaly detection. Wolfram Mathematica provides functionality for unsupervised anomaly detection across
Anomaly_detection
Open standard for programming heterogenous computing systems, such as CPUs or GPUs
directly onto the central processing unit. November 15, 2010: Wolfram Research released Mathematica 8 with OpenCLLink package. March 3, 2011: Khronos Group
OpenCL
Optimization problem in mathematics
for MATLAB. TOMLAB supports solvers like CPLEX, SNOPT and KNITRO. Wolfram Mathematica Able to solve QCQP type of problems using functions like Minimize
Quadratically constrained quadratic program
Quadratically_constrained_quadratic_program
Angle of complex number about real axis
{\displaystyle x<0} or undefined when x = 0 {\displaystyle x=0} . In Wolfram language, there's Arg[z]: Arg[x + y I] = { 0 if x = 0 and y = 0 , undefined
Argument_(complex_analysis)
Export", The Rocs Handbook, Revision Rocs 2.1.50 (Applications 16.04) Using TGF in the yFiles Graph Drawing library Using TGF in Wolfram Mathematica
Trivial_Graph_Format
Bistro Squeak Self SuperCollider SNOBOL Tcl XOTcl Visual FoxPro Wolfram Mathematica Wolfram Language Xojo "Java® Platform, Standard Edition & Java Development
List of reflective programming languages and platforms
List_of_reflective_programming_languages_and_platforms
arXiv:math-ph/0609050. Bibcode:2006math.ph...9050M. "Wolfram Mathematica circular ensembles". Wolfram Language. Suezen, Mehmet (2017). "Bristol: A Python
Circular_ensemble
Mesh generator
Software. 41 (2): 11:1–11:36. doi:10.1145/2629697. S2CID 10022108. "Wolfram Mathematica: introduction to TetGenLink". "Gmsh:6.1 Choosing the right unstructured
TetGen
Optimization software package
AMPL, GAMS and CVXPY. In 2020 the solver also became available in Wolfram Mathematica. In addition, Mosek can for instance be used with the popular MATLAB
MOSEK
2026-01-11. "New Features Everywhere: Launching Version 14.3 of Wolfram Language & Mathematica". Retrieved 2025-08-05. preserved., Copyright 2022 Free Software
Comparison of statistical packages
Comparison_of_statistical_packages
Phenomenon of non-ideal fluids changing temperature
Joule-Thomson Effect using Peng-Robinson CEOS". Demonstrations Projects of Wolfram Mathematica. Joule–Thomson effect module, University of Notre Dame
Joule–Thomson_effect
Equation whose side(s) describe a transcendental function
problem on areas of intersecting circles For example, according to the Wolfram Mathematica tutorial page on equation solving, both 2 x = x {\displaystyle 2^{x}=x}
Transcendental_equation
List of filename extensions List of file formats "What Is a Mathematica Package?". Wolfram. Retrieved 2020-09-15. Dalrymple, Mark; Knaster, Scott (29 June
List of filename extensions (M–R)
List_of_filename_extensions_(M–R)
Software generating fractal images
Fractal – proprietary fractal generator for Windows and Mac OS X Wolfram Mathematica – can be used specifically to create fractal images XaoS – cross
Fractal-generating_software
Operating system
mathematical computing environment. It was a forerunner of Maxima, MATLAB, Wolfram Mathematica, and many other computer algebra systems. Terry Winograd's natural-language
Incompatible Timesharing System
Incompatible_Timesharing_System
Atom of the element hydrogen
Mechanics. New York: Dover. p. 1136. ISBN 0-486-40924-4. LaguerreL. Wolfram Mathematica page Griffiths, p. 152 Condon and Shortley (1963). The Theory of
Hydrogen_atom
algebra and Helton’s research group has been the main provider to Wolfram Mathematica of general non-commutative computer algebra capability. Books J.
John_William_Helton
Third letter of the Greek alphabet
"Incomplete Gamma Function". mathworld.wolfram.com. Retrieved 2025-01-22. Baumann, Gerd (2005). Mathematica for theoretical physics (2nd ed.). New York:
Gamma
American computer scientist (born 1950)
through their incorporation into software including MATLAB, Maple, Wolfram Mathematica, GNU Octave, the R programming language, SciPy, and others. With
Jack_Dongarra
– Integrated Computer-Aided Manufacturing (ICAM), IDEF Stephen Wolfram – Mathematica Mike Woodger – Pilot ACE, ALGOL 60, Ada (programming language) Philip
List_of_computer_scientists
Computing concept
keys used by that algorithm, and it is an important factor of an algorithm's strength. "Wolfram Mathematica 8 Documentation". Retrieved 10 Jan 2012.
Bit-length
2018 animated feature film by Nina Paley
files into Wolfram Mathematica, a powerful visualization program which he co-created. The figures were rendered as polygons in Mathematica, then a custom
Seder-Masochism
Functional programming construct
Racket, Ruby, Rust, Scala, Swift and the symbolic mathematics language Mathematica have special syntax for expressing tree patterns and a language construct
Pattern_matching
Launching Version 14.3 of Wolfram Language & Mathematica". Retrieved 2025-08-05. Raspberry Pi now includes Mathematica and Wolfram Language for free | The
List of information graphics software
List_of_information_graphics_software
Moscone Center Transcript 1998 10th Anniversary of Wolfram Mathematica Video Congratulating Stephen Wolfram 1998 New York Seybold Keynote with Steve Jobs at
Timeline_of_Steve_Jobs_media
Social simulation model
exceeding 2 million. Another implementation can be found written in Mathematica. GMU's MASON project, available under the Academic Free License, also
Sugarscape
Special function defined by an integral
the definitions of the elliptic functions. For example, Wolfram's Mathematica software and Wolfram Alpha define the complete elliptic integral of the first
Elliptic_integral
American mathematician
bronze medal. In 1990, Cook went to work for Wolfram Research, makers of the computer algebra system Mathematica. He did his doctoral work in Computation
Matthew_Cook
Twelfth letter of the Greek alphabet
(2021). Classical mechanics: a computational approach with examples using mathematica and Python (1st ed.). Boca Raton, FL: CRC Press. ISBN 978-1-138-49528-9
Mu_(letter)
American science author
creating the influential notebook user interface for Mathematica. Gray would eventually leave Wolfram Research to become a writer and publisher full-time
Theodore_Gray
2020 book by Conrad Wolfram
STEM Stephen Wolfram Wolfram Language Wolfram Mathematica Wolfram Research computerbasedmath.org/ Official page on Wolfram.com Conrad Wolfram TED Talk https://books
The_Math(s)_Fix
in 1995. See Questionmark's website. Utilizing colleague Stephen Wolfram's Mathematica computer algebra system, mathematics professors at the University
History of virtual learning environments
History_of_virtual_learning_environments
of symbolic languages. Some programming languages (such as Lisp and Mathematica) make it easy to represent higher-level abstractions as expressions in
Symbolic language (programming)
Symbolic_language_(programming)
French businessman
the original on April 8, 2019. "Building a Mathematica Web Community with Wiki-web Mathematica". www.wolfram.com. Archived from the original on 2024-09-20
Luc_Barthelet
Punctuation mark
used for grouping, such as in extended Backus–Naur form. In Mathematica and the Wolfram language, parentheses are used to indicate grouping – for example
Bracket
Intersection of two cylinders
with Mathematica (3rd ed.). Chapman and Hall/CRC. ISBN 978-1584884484. Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd
Steinmetz_curve
Book by Stephen Wolfram
Science is a book by Stephen Wolfram, published by his company Wolfram Research under the imprint Wolfram Media in 2002. Wolfram explores how rules that control
A_New_Kind_of_Science
Numerical computing environment and programming language
Mathematica with MathLink". Wolfram Research. Wolfram Library Archive. rsmenon; szhorvat (2013). "MATLink: Communicate with MATLAB from Mathematica"
MATLAB
modeling Wolfram Language – the computer language that evolved from the program Mathematica. It has similar statistical capabilities as Mathematica. World
List_of_statistical_software
— Bertrand Russell On Formally Undecidable Propositions of Principia Mathematica and Related Systems — Kurt Gödel Algorithms + Data Structures = Programs
List_of_mathematics_books
"ConoverTest—Wolfram Language Documentation". Reference.wolfram.com. Retrieved 2016-07-21. SQUARED RANKS "VarianceEquivalenceTest—Wolfram Language Documentation"
Squared_ranks_test
fixed-point embedded processors. Wolfram Language which is used within many Wolfram technologies such as Mathematica and the Wolfram Cloud World Programming System
List of numerical-analysis software
List_of_numerical-analysis_software
Continuous probability distribution
Archived 2013-09-23 at the Wayback Machine. Benini Distribution at Wolfram Mathematica (definition and plots of pdf) Portals: Mathematics Physics Economics
Benini_distribution
Mathematical assumptions
Fitelson, and Larry Wos. MathWorld, a site associated with Wolfram, has named the axiom the "Wolfram axiom". McCune et al. also found a longer single axiom
Minimal axioms for Boolean algebra
Minimal_axioms_for_Boolean_algebra
Abbreviation at completion of a proof
"Antonii Deusingii Med. ac Philos. De Vero Systemate Mundi Dissertatio Mathematica : Quâ Copernici Systema Mundi reformatur: Sublatis interim infinitis
Q.E.D.
Topics referred to by the same term
equation M or Wolfram Language, the programming language underlying Mathematica ".m", a MATLAB or GNU Octave file ".m", a Mathematica package ".m", an
M_(disambiguation)
Class of mathematical software
xAct http://library.wolfram.com/infocenter/MathSource/4781/ GREAT http://digi-area.com/Mathematica/atlas/ atlas 2 for Mathematica http://grtensor.phy
Tensor_software
2018-11-30. "New Features Everywhere: Launching Version 14.3 of Wolfram Language & Mathematica". Retrieved 2025-08-05. "Abaqus Learning Edition". edu.3ds.com
List of finite element software packages
List_of_finite_element_software_packages
Irish mathematician (born 1982)
(Interview)". 28 July 2013. "Wolfram Research Announcements » Mathematica and the Science of Secrecy". company.wolfram.com. Retrieved 23 September 2017
Sarah_Flannery
Negative integer two units from the origin in mathematics
Weisstein, Eric W. "Complementary Bell Number". MathWorld--A Wolfram Web Resource. Wolfram Research. Retrieved 2025-08-21. Amdeberhan, Tewodros; De Angelis
−2
Type of quartic plane curve
Kathlén, et al. "Adjoints and canonical forms of polypols." Documenta Mathematica 30.2 (2025): 275-346. Julius Plücker, Theorie der algebraischen Curven
Ampersand_curve
WOLFRAM MATHEMATICA
WOLFRAM MATHEMATICA
Boy/Male
German
Wolf ruler.
Surname or Lastname
English and German
English and German : from the Germanic personal name Wolfram, composed of the elements wolf ‘wolf’ + hrafn ‘raven’. Both these creatures played an important role in Germanic mythology. They are usually represented in battle poetry as scavengers of the slain, while Woden (Odin) is generally accompanied by the wolves Geri and Freki and the ravens Hugin and Munin.
Boy/Male
German
Wolf Ruler
Boy/Male
Hindu, Indian
Mouse
Boy/Male
Teutonic
Wolf spear.
Male
Icelandic
Icelandic form of German Wolfram, ÚLFHRAFN means "wolf-raven."
Surname or Lastname
English
English : possibly a variant of Woolen.
Boy/Male
Teutonic
Mighty raven.
Surname or Lastname
English
English : from the Old English personal name Wulffrið, composed of the elements wulf ‘wolf’ + frið ‘peace’.
Boy/Male
Australian, Teutonic
Wolf Raven
WOLFRAM MATHEMATICA
WOLFRAM MATHEMATICA
Boy/Male
American, Australian, British, English, French, Gaelic, Greek
Victory of the People; Of a Triumphant People; Abbreviation of Nicholas People's Victory; Young Creature
Boy/Male
Hindu, Indian, Tamil
Multiple
Girl/Female
Tamil
Growth
Boy/Male
Afghan, African, American, Anglo, Arabic, British, Chinese, Christian, Czechoslovakian, Danish, Dutch, English, French, German, Hawaiian, Hebrew, Indian, Irish, Jamaican, Muslim, Norwegian, Parsi, Polish, Portuguese, Shakespearean, Sindhi, Swahili, Swedis
Red Earth; First Human Being; Created by God; Red; Man; To be Red; Ruby; A Prophet's Name; Man of Earth; First Human
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Happiness; With Joy; Joyful; Glad
Girl/Female
Indian, Punjabi, Sikh
A Winner
Surname or Lastname
English (West Yorkshire)
English (West Yorkshire) : habitational name from a lost place in Heptonstall, West Yorkshire, taking its name from an owner Robert + Middle English shawe ‘copse’ (Old English sceaga).Americanized spelling of French Robichaud.
Girl/Female
Latin
Olive.
Boy/Male
Irish
Dark stranger.
Girl/Female
Indian, Punjabi, Sikh
God of Flowers; Of the God of Heaven
WOLFRAM MATHEMATICA
WOLFRAM MATHEMATICA
WOLFRAM MATHEMATICA
WOLFRAM MATHEMATICA
WOLFRAM MATHEMATICA
n.
A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale.
superl.
Right, in a mathematical sense; passing from one point to another by the nearest course; direct; not deviating or crooked; as, a straight line or course; a straight piece of timber.
n.
The oxide of tungsten, a yellow mineral occurring in a pulverulent form. It is often associated with wolfram.
n.
Same as Wolframite.
n.
A mathematical instrument, consisting of a slip of wood, ivory, or metal, with one or more sets of spaces graduated and numbered on its surface, for measuring or laying off distances, etc., as in drawing, plotting, and the like. See Gunter's scale.
a.
Of or pertaining to tungsten; derived from, or resembling, tungsten; wolframic; as, tungstic oxide.
v. t.
A system of compromises in the tuning of organs, pianofortes, and the like, whereby the tones generated with the vibrations of a ground tone are mutually modified and in part canceled, until their number reduced to the actual practicable scale of twelve tones to the octave. This scale, although in so far artificial, is yet closely suggestive of its origin in nature, and this system of tuning, although not mathematically true, yet satisfies the ear, while it has the convenience that the same twelve fixed tones answer for every key or scale, C/ becoming identical with D/, and so on.
n.
A salt of wolframic acid; a tungstate.
n.
Wolfram, an ore of tungsten.
n.
Tungstate of iron and manganese, generally of a brownish or grayish black color, submetallic luster, and high specific gravity. It occurs in cleavable masses, and also crystallized. Called also wolfram.
a.
A plane curve, not reentrant, described by a point, called the generatrix, moving along a straight line according to a mathematical law, while the line is revolving about a fixed point called the pole. Cf. Helix.
v. t.
To adjust, as the mathematical scale to the actual scale, or to that in actual use.
n.
That branch of the science of mechanics which relates to fluids, or, as usually limited, which treats of the laws of motion and action of nonelastic fluids, whether as investigated mathematically, or by observation and experiment; the principles of dynamics, as applied to water and other fluids.
v. i.
To alter or change in succession; to alternate; as, one mathematical quantity varies inversely as another.
n.
Any lineal or mathematical diagram; an outline.
n.
A number of things of the same kind, ordinarily used or classed together; a collection of articles which naturally complement each other, and usually go together; an assortment; a suit; as, a set of chairs, of china, of surgical or mathematical instruments, of books, etc.
a.
Of or pertaining to wolframium. See Tungstic.
a.
Relating to that kind of homology or symmetry, the mathematical conception of organic form, in which all axes are equal. See under Promorphology.
a.
Of or pertaining to mathematics; according to mathematics; hence, theoretically precise; accurate; as, mathematical geography; mathematical instruments; mathematical exactness.
n.
A rare element of the chromium group found in certain minerals, as wolfram and scheelite, and isolated as a heavy steel-gray metal which is very hard and infusible. It has both acid and basic properties. When alloyed in small quantities with steel, it greatly increases its hardness. Symbol W (Wolframium). Atomic weight, 183.6. Specific gravity, 18.