Computation
• Inesc-ID
• SASws
• FCUL
• Parallel computing
• IBM
• IT
• APDIO
• Sample |
Mathematical libraries • ~: makes a graph
• ^: Monte Carlo
My Erdős no.: 4 Orcid
&
Google Scholar Scopus ResearchGate;
(FCRosa: Orcid, G. Scholar)
(JBordado: Orcid, G. Scholar)
|
To the Students
The (solved) problems below comprise: original research questions of mine;
and academic exercises. All are freely accessible,
but it is the exercises that are meant for student practice.
Our style (since 1998) is similar to Prof. Ponce's
(since 2000, in Hydraulics), and I know no other similar web sites.
These exercise problems provide answers to various topics
mainly in "Operational Research" and "(Statistical) Quality Control".
This material was conceived to be used with my support, in classes,
not just as self-study. So, some cases are not easy to understand.
I am available to resolve any doubt
(here) .
I suggest that the students also solve any problem by
themselves, namely by programming in their preferred language.
I invite the interested students to contact me, so that we may
produce further scientific work, to be published, if possible. |
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IST module (disciplina)
or subject /
Area / Problems |
(Date given
as: yy`m.) |
Quality Control (Controle de Qualidade)
Basic Statistics
• Hypergeometric, binomial, Poisson probabilities
• Distributions: Gaussian (sigmas); truncated; • ^sums, products
• Student's
t; chi-square; beta
• ~Uniforms ^: sum, product of 2
• Test on
μ; goodness of fit
• Sampling without replacement • Confidence intervals
Quality tools (Q)
• Control chart factors (
d2, 3 and others);
simulation
•
X-bar,
R charts
• Tools: Pareto; variability measures
• Histograms (& theory) • RSM
• Acceptance sampling:
inspection by attributes ('105') sample
size;
inspection by variables ('414') procedure, sample size, OC curve
• Estimated lot percent nonconforming (
)
• Non-central
t distr. curves, moments, direct and inverse;
non-c.
vs. Student's
t
• Acceptability constant ('414')
•
Special topics 'Inverse Gaussian' (Wald) distr.,
sampling plan, Q index, distr. of reciprocal
• Lognormal distr. • Gamma function
•
DOE
• Gaussian to a power • Average of exponentials
• Gamma distr., sampling plans
• Q index
•
Bags
Groups of items weighed together
Operational Research
(Investigação Operacional)
Monte Carlo
• Random number generation: uniform; binomial, Poisson;
Gaussian, Expon., Beta. • Dice, Monty Hall, fishes on Venus
• Transforms [inversion, acceptance-rejection ('AR')]:
inversion, some notes; parabolic distr., light bulbs; circles;
AR, triangular, parabolic (paradigm), cosine (with optim.);
method comparison
• ^Bag filling, truck with sacks
Linear Programming (& Algebra)
• Matrix inversion
• Dantzig's
simplex method, canonical form, tabular form
(tableaux); submatrix update; "more for less"; Lindo
•
Transportation Problem
• Transshipment •
Mixed Integer LP
•
Travelling salesman probl. • Enumeration
•
Assignment Problem
Special topics: facility location (plant location)
• Single-facility location (continuous),
several distance measures.
Computing (Computação)
Scientific
computing
• namely, on the Internet (HTML5, HTML 5);
gnuplot (density of water, van der Waals, "big data", ellipse)
Modelling,
fitting
• Optimization • Regression (linear, non-linear)
• SFE, supercritical fluid extraction
• Polymer superabsorption, diffusion
• Pneumatic transport • Tree growth
•
AngDist,
distance "within an angle"
• 10`5.~Equivalent
diameter (Sauter)
• Pyrolysis
ODE, chemical kinetics, properties (with F90 & upload paradigm)
• Numerical integration (trapez., Simpson), Runge-Kutta
• Graphing • Catenary
• Proper values and vectors (eigenanalysis)
• Tubular reactor (Fortran 90 sample), batch reactor, cooled reactor;
consecutive reactions, oscillating reactions
▸Solubility, Hansen
&
• Matrix inversion
• 05`8.~Parabola,
• ~Resolution of cubic eq.
• 05`8.~Sorting
• Root-finding
• 07`b.Saddle
• 05`a.Bivariate linear
interpolation.pdf (.xls)
• 08`1.~Angle, dist.
• 08`3.~Polynomial, bisection
• Nonlinear equation(s), solution:
09`1.secant; systems of –
(08`c. circular),
09`1. Broyden
• 08`5.~Nelder-Mead regr.
• Spheroid (ellipsoid of rev.):
09`a.~oblate
• Excel: 'csv'
manipulate,
to matrix;
copy-paste
• Shuffling
• Extraction without replacement with subgroups
▸CISTI'2018
▸CISTI'2019, CPLEX
• 'Base64' (Witch of Agnesi)
▸CISTI'2021, cooling t. (previous)
▸CISTI'2022, superabsorbent
▸APDIO 2022 (IO2022), maps
▸CISTI'2023, acceptance
▸ICMASC'2024, Collatz
▸CISTI'2024, fitting, geoareas
▸icSoftComp2024,
random Linear Programming
▸ImuLossVac
▸CISTI'2025, matrix normalization
▸Random, kinetics
▸Meet2023+
▸Explore • Regression; kinetics. Geometry.
Python
• Sevilla (CISTI) • Pyrolysis
• (Crucial) Gaussian
Miscellaneous (diversos)
ISBN
• Triangle
(method: Get) (area, perimeter)
• Loan payment,
rate
• Cone volume
• Link location
• Problista
• EuroM
• BMI
(w,
w2)
• NIF (Portuguese VAT no.)
• Graphs in
non-graphical languages
• Base64
• Both (graphs+b64)
• Atelier:
19`c Upload (UpLoader.php),
19`c «·2·» (UpLoader2.php),
14`8 «·3·» (UpLoader2.php);
19`c archetype →
19`b prototype (TransfUpLoader.php)
• Comma to point
• Kruskal: play
• R on the Web
• 19`7 §Simple R
• 19`7 §With graph
• Fonts: local fonts
• Internet Who am I
• Linux: Google "linux echo carriage return" ($ echo "... \n ... \n ..." | a.out)
• MS Office (Word, Excel, etc.)
• Unconventional dice
• PHP: phpinfo.
Gnuplot "terminal".
My php,
php mail;
§2 dice.
• Gnuplot
06`2.Basic info,
17`9.ps_guide.pdf
(special characters),
08`3.~fonts
• JSantos
• Sending:
post,
get
• (Alfa)
• HTML: Character encoding:
W3C char.
entity refer., HTML 5;
entity "—",
decimal "—",
hexa "—".
Utilities
(utilidades)
• "Numerical Recipes"
f77
f90
• Cubic equation
• triangular distribution
• Euro, € notes,
last digit
• CD cover.zip
• Banco
• 05`2.Pythagorean theorem
• What is my
IP ?
• 05`b.Psychrometry
• 09`c. Intel compiler
• 11`4.Graphics software
(
CSS
link checker)
uri = {http://} + {server_name} + {php_self} =
{http://} + {web.ist.utl.pt} + {/~mcasquilho/compute/index.php}
|
|
http://web.ist.utl.pt/~mcasquilho/compute/index.php
Created: 1998 —
Last modified: 2024-10-23 |