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Approach to mathematics using computation
Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns
Experimental_mathematics
Academic journal
Experimental Mathematics is a quarterly scientific journal of mathematics published by A K Peters, Ltd. until 2010, now by Taylor & Francis. The journal
Experimental Mathematics (journal)
Experimental_Mathematics_(journal)
Mathematics independent of applications
mathematics, pure mathematics is an informal term to describe the study of mathematical concepts independently of any application outside mathematics
Pure_mathematics
Publisher of scientific and technical books
specializing in mathematics and in computer graphics, robotics, and other fields of computer science. They published the journals Experimental Mathematics and the
A_K_Peters
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Coincidence in mathematics
Weisstein, Eric (9 March 2006). "Ten Problems in Experimental Mathematics" (PDF). The American Mathematical Monthly. 113 (6): 22. doi:10.1080/00029890.2006
Mathematical_coincidence
Reasoning for mathematical statements
A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The
Mathematical_proof
and university level gives way to “the Division of Mathematical Sciences”." Experimental mathematics is the use of computers to generate large data sets
Future_of_mathematics
Scottish mathematician (1951–2016)
of experimental mathematics. Borwein's interests spanned pure mathematics (analysis), applied mathematics (optimization), computational mathematics (numerical
Jonathan_Borwein
Area of mathematics
theory Mathematical economics, the use of mathematics in economics, finance and, to certain extents, of accounting. Experimental mathematics Journals
Computational_mathematics
American mathematician (born 1948)
brother). They co-authored five books and over 80 technical papers on experimental mathematics. Bailey also does research in numerical analysis and parallel computing
David H. Bailey (mathematician)
David_H._Bailey_(mathematician)
Numerical integration method
schemes". Experimental Mathematics, 14.3 (2005). Bailey, David H, Jonathan M. Borwein, David Broadhurst, and Wadim Zudlin, Experimental mathematics and mathematical
Tanh-sinh_quadrature
Research institute at Brown University
Computational and Experimental Research in Mathematics (ICERM), founded in 2011, is an American research institute in mathematics at Brown University
Institute for Computational and Experimental Research in Mathematics
Institute_for_Computational_and_Experimental_Research_in_Mathematics
Open problem on 3x+1 and x/2 functions
Unsolved problem in mathematics For even numbers, divide by 2; For odd numbers, multiply by 3 and add 1. With enough repetition, do all positive integers
Collatz_conjecture
Number with all digits equally frequent
In mathematics, a real number is said to be simply normal in an integer base b if its infinite sequence of digits is distributed uniformly in the sense
Normal_number
Natural number
minimum number of clues problem via hitting set enumeration". Experimental Mathematics. 23 (2): 190–217. doi:10.1080/10586458.2013.870056. S2CID 8973439
17_(number)
Mathematical investigation of Sudoku
Mathematics can be used to study Sudoku puzzles to answer questions such as "How many filled Sudoku grids are there?", "What is the minimal number of
Mathematics_of_Sudoku
Field of knowledge
Mathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical
Mathematics
finitely-additive measure. Experimental mathematics an approach to mathematics in which computation is used to investigate mathematical objects and identify
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Mathematician (born 1937)
University of Warwick mathematics department with Christopher Zeeman and is founding editor of the journal Experimental Mathematics. Epstein was born in
David_B._A._Epstein
Geometric concept
Unsolved problem in mathematics What is the maximum possible kissing number for n-dimensional spheres in (n + 1)-dimensional Euclidean space? More unsolved
Kissing_number
Topics referred to by the same term
part of the University of California, San Diego Institute for Experimental Mathematics, a central scientific facility of the University of Duisburg-Essen
IEM
Logic-based number-placement puzzle
16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem". Experimental Mathematics. 23 (2): 190–217. arXiv:1201.0749. doi:10.1080/10586458.2013.870056
Sudoku
Relationship between fields of study
synonyms. In mathematics objects can be defined exactly and logically related, but the object need have no relationship to experimental measurements.
Relationship between mathematics and physics
Relationship_between_mathematics_and_physics
Formula for computing the nth base-16 digit of π
primarily by the use of polylogarithm ladders. Approximations of π Experimental mathematics Bellard's formula Bailey, David H.; Borwein, Peter B.; Plouffe
Bailey–Borwein–Plouffe formula
Bailey–Borwein–Plouffe_formula
Numerical utility
Borwein and Simon Plouffe of the Canadian Centre for Experimental and Constructive Mathematics (Burnaby, Canada). A user will input a number and the
Inverse_Symbolic_Calculator
on Q ( 5 ) {\displaystyle \mathbb {Q} ({\sqrt {5}})} " (PDF). Experimental Mathematics. 14 (4): 457–466. doi:10.1080/10586458.2005.10128939. ISSN 1058-6458
List of number fields with class number one
List_of_number_fields_with_class_number_one
of Combinatorics Experimental Mathematics Expositiones Mathematicae Fibonacci Quarterly Forum of Mathematics, Pi Forum of Mathematics, Sigma Fractals Fractional
List_of_mathematics_journals
256-bit computer number format
universe, precise to the Planck length. However, some problems in experimental mathematics do require octuple (or higher) precision. In its 2008 revision
Octuple-precision floating-point format
Octuple-precision_floating-point_format
Dutch engineer, inventor, and entrepreneur (born 1946)
Storage Media. He has been an adjunct professor at the Institute for Experimental Mathematics, University of Duisburg and Essen, Germany, since 1994, as well
Kees_Schouhamer_Immink
American mathematician
class of Fellows of the American Mathematical Society "for contributions to dynamics, geometry, and experimental mathematics and for exposition". In June
Richard Schwartz (mathematician)
Richard_Schwartz_(mathematician)
Mandelbar Set
In mathematics, the tricorn, sometimes called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping z
Tricorn_(mathematics)
Scientific field of study
and experimental data. The distinction is clear-cut, but not always obvious. For example, mathematical physics is the application of mathematics in physics
Physics
Mathematical foam of equal-volume bubbles
least perimeter by Γ-convergence: around Kelvin's conjecture", Experimental Mathematics, 20 (3): 260–270, doi:10.1080/10586458.2011.565233, MR 2836251
Weaire–Phelan_structure
Statement that is taken to be true
from mathematical axioms. As a matter of fact, the role of axioms in mathematics and postulates in experimental sciences is different. In mathematics one
Axiom
Smallest number of edges of an equivalent polygonal path for a knot
stick number bounds from random sampling of confined polygons". Experimental Mathematics. 31 (4): 1373–1395. arXiv:1909.00917. doi:10.1080/10586458.2021
Stick_number
Unsolved geometry question on moving a sofa through a 90° angle
"Differential equations and exact solutions in the moving sofa problem". Experimental Mathematics. 26 (2): 316–330. arXiv:1606.08111. doi:10.1080/10586458.2016.1270858
Moving_sofa_problem
Formula that visually represents itself when graphed
; Calkin, N. J.; Girgensohn, R.; Luke, D. R.; and Moll, V. H. Experimental Mathematics in Action. Natick, MA: A. K. Peters, p. 289, 2006. Archived 2016-12-21
Tupper's self-referential formula
Tupper's_self-referential_formula
Academic journal
Mathematics is a semi-monthly peer-reviewed open-access scientific journal that covers all aspects of pure mathematics and applied mathematics. It publishes
Mathematics_(journal)
Surface that locally minimizes its area
In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having zero mean curvature (see definitions below)
Minimal_surface
Mathematical procedure
a linear combination of these constants. A typical approach in experimental mathematics is to use numerical methods and arbitrary precision arithmetic
Integer_relation_algorithm
Theory of subatomic structure
Yuji (2011). "Notes on the K3 surface and the Mathieu group M24". Experimental Mathematics. 20 (1): 91–96. arXiv:1004.0956. doi:10.1080/10586458.2011.544585
String_theory
Spanish mathematician (1955–2026)
Guillera, Jesús (2012). "Mosaic Supercongruences of Ramanujan Type". Experimental Mathematics. 21 (1): 65–68. arXiv:1007.2290. doi:10.1080/10586458.2011.579012
Jesús_Guillera
American mathematician
is a fellow of the American Mathematical Society. He has served as Editor-in-Chief of the journal Experimental Mathematics, and is currently serving as
Sergei_Tabachnikov
Branch of applied mathematics
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods
Mathematical_economics
Study of collection and analysis of data
subjects like physics, chemistry, geography, geopolitics, and especially mathematics. When census data (comprising every member of the target population)
Statistics
American mathematician
Institute of Mathematical Sciences of New York University. He deals with classical analysis, symbolic arithmetic and experimental mathematics, special functions
Victor_Moll
Dynamical system involving reflection
Unsolved problem in mathematics Does every triangle have a periodic billiards path? More unsolved problems in mathematics In mathematics, triangular billiards
Triangular_billiards
Polish mathematician and physicist (1909–1984)
Fermi–Pasta–Ulam–Tsingou problem is credited not only as "the birth of experimental mathematics", but also as inspiration for the vast field of Nonlinear Science
Stanisław_Ulam
Disproved mathematical conjecture
In mathematics, the Mertens conjecture is the statement that the Mertens function M ( n ) {\displaystyle M(n)} is bounded by ± n {\displaystyle \pm {\sqrt
Mertens_conjecture
Polyhedron with 12 faces
"Platonic Solids and High Genus Covers of Lattice Surfaces". Experimental Mathematics. 31 (3): 847–877. arXiv:1811.04131. doi:10.1080/10586458.2020.1712564
Dodecahedron
"A p-adic Study of the Partial Sums of the Harmonic Series". Experimental Mathematics. 3 (4): 287–302. doi:10.1080/10586458.1994.10504298. Zbl 0838.11015
List_of_prime_numbers
American mathematician
for the journal Experimental Mathematics, and currently serves as managing editor for the Journal of the Association for Mathematical Research and is
Alex_Kontorovich
American mathematician (1983-)
Mathematics Lab. In 2015, he went on to be an associate professor at the University of Washington and created the Washington Experimental Mathematics
Jayadev_Athreya
Turkish mathematician (1910–1997)
Applied Mathematics 2002: Don Zagier of University of Utrecht / Collège de France 2001: Gerhard Frey of University of Essen Institute for Experimental Mathematics
Cahit_Arf
Loop seen as a trivial knot
unknotting number, hard unknot diagrams, and reinforcement learning". Experimental Mathematics: 1–19. doi:10.1080/10586458.2025.2542174. Burton, Benjamin A.;
Unknot
Can one split the integers into two sets such that every Pythagorean triple spans both?
Monochromatic Pythagorean Triples Unavoidable under Morphic Colorings?". Experimental Mathematics. 27 (4): 419–425. arXiv:1605.00859. doi:10.1080/10586458.2017.1306465
Boolean Pythagorean triples problem
Boolean_Pythagorean_triples_problem
Explored roots of the Riemann zeta function
interest in mathematics; a single root out of alignment would disprove the Riemann hypothesis, with far-reaching consequences for all of mathematics. The project
ZetaGrid
Two tetrahedra joined by one face
Richard Evan (2013). "The Five-Electron Case of Thomson's Problem". Experimental Mathematics. 22 (2): 157–186. doi:10.1080/10586458.2013.766570. S2CID 38679186
Triangular_bipyramid
Canadian mathematician (born 1955)
explored experimental mathematics, using dynamic visual models to bridge ancient ideas with modern technologies, offering fresh insights into mathematical education
Veselin_Jungić
Design of tasks
Bayesian experimental design – Experimental design framework Block design – Structure in combinatorial mathematics Box–Behnken design – Experimental designs
Design_of_experiments
Mathematical modeling of psychological theories and phenomena
century. Mathematics in psychology is used extensively roughly in two areas: one is the mathematical modeling of psychological theories and experimental phenomena
Mathematical_psychology
Mathematical set with some added structure
do they correspond to an experimental reality? This important physical problem no longer has anything to do with mathematics. Even if a "geometry" does
Space_(mathematics)
Circle-packing on the surface of a sphere
; Tarasov, Alexey S. (2015). "The Tammes Problem for N = 14". Experimental Mathematics. 24 (4): 460–468. doi:10.1080/10586458.2015.1022842. S2CID 39429109
Tammes_problem
Teaching, learning, and scholarly research in mathematics
In contemporary education, mathematics education (known in Europe as the didactics or pedagogy of mathematics) is the practice of teaching, learning, and
Mathematics_education
Experimental design that is optimal with respect to some statistical criterion
when the mathematical process-space contains factor-settings that are practically infeasible (e.g. due to safety concerns). Experimental designs are
Optimal_experimental_design
Array of numbers
In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and
Matrix_(mathematics)
is a mathematical proof. Mathematics is used in most sciences for modeling phenomena, which then allows predictions to be made from experimental laws
Philosophy_of_mathematics
One can't dissect a square into an odd number of triangles of equal area
for Dissections of a Square into an Odd Number of Triangles". Experimental Mathematics. 29 (3): 1–23. arXiv:1708.02891. doi:10.1080/10586458.2018.1459961
Monsky's_theorem
Large number used in number theory
Unsolved problem in mathematics What is the smallest Skewes's number? More unsolved problems in mathematics In number theory, Skewes's number is the smallest
Skewes's_number
Matrix form in linear algebra
and Hermite normal form algorithms via lattice basis reduction". Experimental Mathematics. 7 (2): 130–131. doi:10.1080/10586458.1998.10504362. ISSN 1058-6458
Hermite_normal_form
Multiplicative function in number theory
Joël (1996). "Computing the summation of the Möbius function". Experimental Mathematics. 5 (4): 291–295. doi:10.1080/10586458.1996.10504594. S2CID 574146
Möbius_function
Scientific procedure performed to validate a hypothesis
procedure and logical analysis of the results. There also exist natural experimental studies. A child may carry out basic experiments to understand how things
Experiment
Crandall, Richard E. (2002). "Random Generators and Normal Numbers". Experimental Mathematics. 11 (4): 527–546. doi:10.1080/10586458.2002.10504704. S2CID 8944421
Stoneham_number
Application of experimental method to psychological research
Experimental psychology emerged as a modern academic discipline in the 19th century when Wilhelm Wundt introduced a mathematical and experimental approach
Experimental_psychology
Geometrical structure
conjectural lower bounds on the optimal density of sphere packings". Experimental Mathematics. 15 (3): 307–331. arXiv:math/0508381. doi:10.1080/10586458.2006
Sphere_packing
Topic in group theory and harmonic analysis (Niemeier lattice-mock theta connection)
Yuji (2011), "Notes on the K3 surface and the Mathieu group M24", Experimental Mathematics, 20 (1): 91–96, arXiv:1004.0956, doi:10.1080/10586458.2011.544585
Umbral_moonshine
American mathematical physicist (1944–2019)
been phenomenal. It has spanned new fields of theoretical and experimental mathematics ... It is hard to think of any other development in recent theoretical
Mitchell_Feigenbaum
Mathematical software
theorem proving and verification which is very useful in the area of experimental mathematics optimized code generation In the above, the word some indicates
Computer_algebra_system
English mathematician
October 2021). "What Newton Might Have Known: Experimental Mathematics in the Classroom". The American Mathematical Monthly. 128 (9). Informa UK Limited: 845–855
Neil_J._Calkin
Property of two varying quantities with a constant ratio
In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant
Proportionality_(mathematics)
Number that is less than the sum of its proper divisors
Deléglise, Marc (1998). "Bounds for the density of abundant integers". Experimental Mathematics. 7 (2): 137–143. CiteSeerX 10.1.1.36.8272. doi:10.1080/10586458
Abundant_number
American mathematician (1917–2008)
Attractor Chaos theory Ensemble forecasting Extratropical cyclone Experimental mathematics Meteorology Numerical weather prediction Slow manifold Jule Gregory
Edward_Norton_Lorenz
Type of mathematical integrals
Weisstein, Eric W. (2006-06-01). "Ten Problems in Experimental Mathematics". The American Mathematical Monthly. 113 (6): 481. doi:10.2307/27641975. hdl:1959
Borwein_integral
Loop delay that occurs when a video camera is pointed at its own playback video monitor
unstable-cavity laser beams. Video feedback is also useful as an experimental-mathematics tool. Examples of its use include the making of fractal patterns
Video_feedback
Aesthetic value of mathematics
Mathematical beauty is a type of aesthetic value that is experienced in doing or contemplating mathematics. The testimonies of mathematicians indicate
Mathematical_beauty
Dutch academic
Communications at the University of Duisburg-Essen, Germany (Institute for Experimental Mathematics) (1990-2014) Director of the Post-Graduate School on Networking
Han_Vinck
Two-dimensional packing problem
coverings of an equilateral triangle with up to 36 equal circles", Experimental Mathematics, 9 (2): 241–250, doi:10.1080/10586458.2000.10504649, MR 1780209
Circle packing in an equilateral triangle
Circle_packing_in_an_equilateral_triangle
Mathematical sequence
In mathematics, the Ulam numbers comprise an integer sequence devised by and named after Stanisław Ulam, who introduced it in 1964. The standard Ulam
Ulam_number
Number whose divisors summed twice over equal twice itself
Riele, H. J. J. (1996). "Iterating the sum-of-divisors function". Experimental Mathematics. 5 (2): 93–100. doi:10.1080/10586458.1996.10504580. S2CID 28197771
Superperfect_number
Quadrilateral symmetric across a diagonal
Rogers, Thomas (1993), "The dynamics of quadrilateral folding", Experimental Mathematics, 2 (3): 209–222, doi:10.1080/10586458.1993.10504278, MR 1273409
Kite_(geometry)
Branch of biology
Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical modeling, and abstractions
Mathematical and theoretical biology
Mathematical_and_theoretical_biology
"A p-adic Study of the Partial Sums of the Harmonic Series". Experimental Mathematics. 3 (4): 287–302. doi:10.1080/10586458.1994.10504298. Zbl 0838.11015
Harmonic_prime
Constant in crystallography
Weisstein, Eric (March 9, 2006). "Ten Problems in Experimental Mathematics" (PDF). The American Mathematical Monthly. 113 (6): 481. doi:10.2307/27641975. JSTOR 27641975
Madelung_constant
Number theory related to prime numbers
299–314. Rubinstein, M.; Sarnak, P. (1994). "Chebyshev's bias". Experimental Mathematics. 3 (3): 173–197. doi:10.1080/10586458.1994.10504289. Weisstein
Chebyshev's_bias
Listing all imaginary quadratic fields with a given class number
In mathematics, the Gauss class number problem (for imaginary quadratic fields), as usually understood, is to provide for each n ≥ 1 a complete list of
Class_number_problem
1960 article by Eugene Wigner
experimentally grounded is only partially true. Hamming gives four examples of nontrivial physical phenomena he believes arose from the mathematical tools
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences
1987 mathematics textbook
American Scientist, 77 (1): 91, JSTOR 27855619 Notz, William I. (1988), "Review of Combinatorics of Experimental Design", Mathematical Reviews, MR 0908490
Combinatorics of Experimental Design
Combinatorics_of_Experimental_Design
Groupoid related to the Mathieu group M12
(2006), "The Mathieu group M12 and its pseudogroup extension M13", Experimental Mathematics, 15 (2): 223–236, arXiv:math/0508630, doi:10.1080/10586458.2006
Mathieu_groupoid
number of real quadratic fields having units of negative norm", Experimental Mathematics, 2 (2): 121–136, CiteSeerX 10.1.1.27.3512, doi:10.1080/10586458
Fundamental unit (number theory)
Fundamental_unit_(number_theory)
EXPERIMENTAL MATHEMATICS
EXPERIMENTAL MATHEMATICS
Boy/Male
Australian, Vietnamese
Complete; Mathematics
Boy/Male
Hindu
Experiment
Girl/Female
Tamil
Prayukta | பà¯à®°à®¯à¯à®‚கதா
Experimented
Prayukta | பà¯à®°à®¯à¯à®‚கதா
Boy/Male
American, Australian, British, Chinese, Christian, English, French, German, Swedish, Teutonic
Friend of the People; Experiment; Trial; People's Friend
Surname or Lastname
English and North German
English and North German : variant of Bertram.William Bartram, a Quaker, had a large farm near Darby, PA, when his eldest son, John, the first American botanist, was born in 1699. John conducted botanical experiments at his own farm in Kingsessing, PA, near Philadelphia.
Girl/Female
Hindu
Experimented
Boy/Male
Hindu, Indian, Tamil
God of Law; One Well Versed in Law; Experiment
Boy/Male
Tamil
Experiment
EXPERIMENTAL MATHEMATICS
EXPERIMENTAL MATHEMATICS
Boy/Male
African, American, Australian, British, Celtic, Christian, Danish, Dutch, English, French, Gaelic, German, Hebrew, Indian, Irish
Marksman; From the Land that was Burned; Lives at the Barrier; Sharp; Pointed; Bear-strength; Spear; Javelin
Male
English
Modern English variant spelling of Irish Brody, BRODIE means "ditch."Â
Boy/Male
American, British, English, French
Blend of Dion and Andre; Manly
Male
Greek
(ΓιώÏγος) Modern form of Greek Georgios, YIORGOS means "earth-worker, farmer."Â
Surname or Lastname
English
English : of uncertain derivation. The first recorded instance seems to be William Cleike (Yorkshire 1176), but this may well be an error for Clerke. In subsequent records the name is concentrated in Devon; it seems to have been originally a habitational name connected with a piece of land in the parish of Ermington near Plymouth, first recorded in 1278 as Clekeland(e), and still known as Clickland; the names John de Clakelond and Robert Cleaklond occur in this parish in 1332 and 1337 respectively. The place name may be from Old English cleaca ‘stepping stone’, ‘boundary stone’ (of Celtic origin) + land ‘territory’. Compare Clack.Americanized spelling of German Glück (see Gluck).
Boy/Male
Greek
Son of Hypnos.
Girl/Female
Greek
Shall be reborn.
Boy/Male
American, Australian, Chinese, French, German, Indian, Latin, Portuguese, Spanish, Swiss
Famous Warrior; Renowned Warrior; Form of Louis
Girl/Female
Muslim/Islamic
Red
Girl/Female
Scottish
used as a woman's name.
EXPERIMENTAL MATHEMATICS
EXPERIMENTAL MATHEMATICS
EXPERIMENTAL MATHEMATICS
EXPERIMENTAL MATHEMATICS
EXPERIMENTAL MATHEMATICS
a.
Experimental; of the nature of experiment.
v. t.
To make experiment; to operate by test or trial; -- often with on, upon, or in, referring to the subject of an experiment; with, referring to the instrument; and by, referring to the means; as, to experiment upon electricity; he experimented in plowing with ponies, or by steam power.
n.
An experimenter.
n.
One who makes experiments; one skilled in experiments.
a.
Fitted for trial beforehand; experimental.
a.
Pertaining to, or founded upon, experiment or experience; depending upon the observation of phenomena; versed in experiments.
n.
An experimenter in aviation.
imp. & p. p.
of Experiment
n.
Trial; experiment.
p. pr. & vb. n.
of Experiment
a.
Pertaining to experiment; founded on, or derived from, experiment or trial; as, experimental science; given to, or skilled in, experiment; as, an experimental philosopher.
n.
Essay; trial; experience; experiment.
a.
Derived from, or pertaining to, experience.
a.
Known by, or derived from, experience; as, experimental religion.
n.
One who makes experiments; an experimenter.
n.
An experimenter.
n.
Atrial or special observation, made to confirm or disprove something doubtful; esp., one under conditions determined by the experimenter; an act or operation undertaken in order to discover some unknown principle or effect, or to test, establish, or illustrate some suggest or known truth; practical test; poof.
n.
An experimenter.
v. i.
To make experiments (upon); to experiment.
adv.
By experiment; by experience or trial.