350/7.5 =
7/8 = 1/2 + 1/3 + 1/24
1,2,3,2,1,2,3,2,1, ; 1, 3, 5, 7, 11, ...
2 + 4 + 6 + ... + 100
1->2, 2->3, 3->1, 3->4, 4->1
15% of 80
343 to Roman numerals; 2010 to Roman numerals
12 by 12 multiplication table
is the \sqrt{2} \in the rationals?
prime(n); prime from 1 to 100; prime closest to 100854
multiples of 5, 17, 21
gcd 24, 36, 48, 60
solve ...; solve 3x^2+7x-10
maximize x(1-x)e^x
local extrema sin x^2
minimize (4-x^2-2y^2)^2; minimize x^5 - 3x^4 + 5 over [0,4]
integrate sin(cos x) from x=0 to 1; int 12 ( 1/x^2+4)^(5/2) dx x=-4 to x=4 ;
int e^(-at)dt, t=0,a
\int \sin{x^2}+\sqrt{x} dx
show me how to integrate
factor 2x^5 - 19 x^2 + 5 ; factor 70560
expand (x+2)^4
Taylor series of sin^3 (x)
y''+sin y=cos x
e^x = x2 + 2
evaluate y = x^2 at x= -3
plot |x|^3+|y|^3<1; Plot y=3x, y=4x ; plot e^x from x=0 to 10;
plot x^2 from x= o to x= 3; plot Ai(x)
plot an equation
plot y x= =1997 to 2017, y= 1..2
polar plot sen ( 3 * theta)
stationary point of cos t near t=2
corners of x + 2 |cos x|
polar plot t=(((1394*s)+(495*u))/3600), s=1..100, u=1..5000
factor 5040
factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48
x^3-4x^2+6x-24=0 ; e^z
4x^2 - 5xy + 2y^2 = 4
3 x + 2)^2 - (2 x + 3) (2 x - 3) + x (x^2 + x - 30) - (x - 5)^2
[(X^2 - 1 )/ (X^2 - X)/(X^2 - 4)/(X^2 + 2X)] - [(X^2 + X)/(X^2 + 4X 4)] *[(4X + 8)/(X^2 - 2X)]
(5)^(3/4)
(90^1/3 * 20^1/4)/ (60^1/6*6^1/2)
x+y=10, x-y=4
f(x, y) =sqrt (36 - 9 x^2 - 4 y^2)
z = x + y and z = x - 2y + 2
solve 3x2+x-7=4x; solve 3x + 4 y = 5 over the integers;
solve |(x + |x + 2|)2 - 1|^2 = 9 over the reals
exponential fit 0.783, 0.552, 0.383, 0.245, 0.165, 0.097
(2+3i)(5-i)
oblique asymptotes of (x^3+7x+1)/(x^2-x+1)
inverse {{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
distance {3, 3, -1}, {0, 5, -7}}
line through (1,2,3) and (2,1,5); line through (1,2), and (2,1)
plane through (1,2,3), (3,2,1) and (2,1,5); plane through (0, 1, 0), (5, 6, 7), and (6, 7, 8)
parametric plot (cos(t),sin(t),t),t=0..15
{{2,-5},{1,-4}}
{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}
eigenvalues {{2,3},{1,5}}
{{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
{X-1, Y-2, Z-3}, {3, 4,-3}, {1,1,-2}}
{{2,-1,1},{0,-2,1},{1,-2,0}}.{x,y,z}
inv {{10, -9, -12}, {7, -12, 11}, {-10, 10, 3}}
rank {{6, -11, 13}, {4, -1, 3}, {3, 4, -2}}
det {{2,3},{5,7}} ;
det { {x, y, z, 1}, {0, 0, 0, 1}, {5, 6, 2, 1}, {-4, -3, 1, 1}}
det({{9, 3, 5}, {-6, -9, 7}, {-1, -8, 1}})
LU decomposition of {{7,3,-11},{-6,7,10},{-11,2,-2}}
rotate 30 degrees
limit (1+1/n)^n as n->infinity; lim (cosx-1)/x^2 as x->0
product (1-z^2/n^2), n=1..oo
sum (3/4)^j, j=0..infinity; \sum_{k=1}^n k;
Julia set c=-0.38+0.62i
Fourier transform exp(-x^2)
Laplace x^2+y^2+z^2 ; LT e^t sin 2t
19-gon
trochoid
30-sided polyhedron
annulus, inner radius=3, outer radius=7
triangle with vertices (0,0),(3,4), 4,3)
5, 15, 13 triangle
define triangulate
(A U B) ^ C
square pyramid s=4cm h=8cm
hyperbola with semiaxes 2 and 5
Fermat’s last theorem
famous mathematics problems
\frac{\log(17x^{2+x})}{2y+17}
vector {2, -5, 4}
7 {1, 0, -2, 1} - 4 {2, -1, 1, -1}
grad sin(x^2 y); del z e^(x^2+y^2); grad sqrt(r) cos(theta)
div (x^2-y^2, 2xy); div (x^3 y, y^3 z, z^3 x); div [x^2 sin y, y^2 sin xz, xy sin (cos z)]
curl [-y/(x^2+y^2), -x/(x^2+y^2), z] ;
Laplace e^x sin y ; Laplace e^x sin y
div (grad f);
curl (curl F)
grad (F . G)
sum of a series (Sum x^k = 0 k = infinity)
sphere r=0.5 m; cube circumscribed about a sphere with volume 1
vector (2,3,0) to (7,8,5)
compare 2^n to n!
octagon centered at the origin inscribed in a unit circle
octagon inscribed inside circle with area 20
circumscribed octagon on circle perimeter=6 centered at 3,3
rectangle inscribed in a circle with circumference 10pi
FÍSICA
time to fall 15 m
force m=150g, a=50cm/s^2
stopping distance 70 km/h
time to fall 1000ft
time to fall 1000 m
distance for speed of 30km/h and time=1 hour
Bernoulli's equation
saturated steam 20atm
46 kph to ft/sec
450 MeV
Helium, Deuterium, Tritium
weather madrid ; weather madrid versus leon 2009; weather pragha 11.09.09;
weather forecast madrid; weather in Madrid
wind speed in Madrid, Spain
rain madrid
Bernoulli's equation
Venturi flowmeter
A4 paper
earthquakes; earthquakes spain; earthquakes near majorca; earthquakes near upolu (samoa)
10,000 m2
10 densest elements
11.3 mm^3 Copper
red + yellow
red + white + blue; mix red and blue
30/30 vision
kilograme to pound
stefan boltzmann 1800 º C
temperature earth versus sun versus moon
Cenozoic Era; Mesozoic Era; Paleozoic Era; Late Jurassic Epoch; Quaternary Period; carboniferous period
QUÍMICA
500mg of silver nitrate
H2SO4; hydrogen ; CH4 + 2O2 -> CO2 + 2H20
ideal gas law 2.2mol, 2.0atm, 500K
how many moles are in 5 g of iron
universe abundance of elements
Al + O2 -> Al2O3
TÉCNICA
golden gate bridge
25000 barrels of oil
unit convert
TRANSPORTE
United Kingdom auto traffic
UK car traffic 2005 / cars in use 2005
vehicles in use in China
US cars vs trucks in use
US auto accidents
ESTADÍSTICA
100 - 57 % + 71 % - 25 % + 12.5 % ; 25% of 20; 20 + 25 %
32 coin tosses
5 dice
linear fit {{1.3, 2.2}, {2.1, 5.8}, {3.7, 10.2}, {4.2, 11.8}}
cubic fit 20.9, 23.2, 26.2, 26.4, 16.3, -12.2, -60.6, -128.9
exponential fit 0.783, 0.552, 0.383, 0.245, 0.165, 0.097
log fit {15.2,8.9}, {31.1,9.9}, {38.6,10.3}, {52.2,10.7}, {75.4,11.4}
random integer (100)
mean (-, -, -)
kurtosis (-, -, ,-)
standard deviation (-, -, -)
beta distribution
30 choose 18
20% chance 4 times
normal distribution, mean= 0, sd= 2
CALENDARIO
dob 6/3/57; dob 15/9/81
march 6/57
now
time in brisbane; time in santiago; time in mexico
8:25 am to 7:10pm
20 million years ago
30th Tuesday in 2051
6 march 1957
difference of two dates
How many days until 03.06.11 ?
ASTRONOMÍA
phase of the moon
sun 19.06.09 ; sunset 05/28/09
earth 25 august 2009; earth 6 march 1957
total solar eclipse Madrid
planets 02.09.09; planets 06.03.1957
ISS
Kepler's first law
10 nearest stars
size of earth; size of moon
sunpath reykjavik june 21 2010; moonpath
GEOGRAFÍA
41 deg N, 93 deg W ; 23.5S 46.4W to 56.8N 60.6E
Algiers coordinates
San Francisco to Tokyo; rio de janeiro to sao paulo
madrid labastida
rio tokio chicago madrid; madrid leon bilbao barcelona valencia madrid;
madrid paris berlin franfurt london
madrid to paris
low tide hong kong
how big is france?
london
present location
SALUD
life expectancy age 52 SPAIN; life expectancy France 1910; male age 53 spain life expectancy
average age Spain
growth chart male 53yr, 1.86m, 91kg; growth chart 20 Yr BOY
bmi 6 feet 180 lb
apple + milk; doughnut + a liter of milk; 1 apple + 2 oranges; 1 kilogram of milk
2 scrambled eggs + 1 glazed donut; beer 0.2 liter; 0.25 l milk 2 bread loaves
basal metabolic rate
H1N1
colon cancer
spain Wheat; cuba wheat
Spain meat production; spain meat;
Spain medical personnel
Africa underweight children; underweight children Africa versus Europe
drug treatments for depression
heart diseease 50 yo male
am I drunk?
AIDS deaths Africa
number of dentist in spain?
cycling 72.13 miles for 240 minutes; running 7.13 miles for 24 minutes
chronic rhinitis; common cold;
SOCIOLOGÍA
crime rates chicago miami
all countries population in 2010
countries with population > 150 million?
how may people live in China and France?
uncle´s uncle; cousin´s uncle; second cousin; first cousin´s uncle
European Union Poverty, Greece Spain Portugal Ireland Italy Poverty
ECONOMÍA
gdp spain, italy
history per capita income spain
history gdp per capita spain
world gpd
debt spain; debt greece, portugal, spain, france, germany
ARM $250,000, 30yr, 6.5%
$ 250 1965 dolar in 2009
gdp vs. railway lengh in europe
mortage 5% 30 years
1 euro in dollars; 1 pound in euros; 1 euro in pounds
5 % bond
france fish production vs. poland
$1000 in 1982 dollars; $250 1965 dollars in 1995;
10000 pesetas
€ 2,500/month
visitors to Spain
DOW JONES INDEX; Dow Jones 1929 to 2009; Dow Jones 1929 to 1955
BASF
relocating from chicago to miami with a salary of $35000
prize mathematics problems
net present value (+ more)
$60 + 10% + 5%
100 GBP to USD
200 $ at 6 % for 5 years
60000 barrels per day / US crude oil production
spain crude oil consumption
poverty in all countries
spain food consumption
how many turkeys in Turkey?
how many pig in spain?; how many goats in spain?
cab driver´s salary in New York
car production in spain
cost of electricity in usa
natural gas prices in Massachusetts vs Florida
heating oil prices in NY november 1 2009
propane prices in NY
average cost of 20 gallons of propane in vermont
Usa retail sales (clothing stores; jewelry stores)
INTERNET
country code 34
internet users in europe
europe; europe population; madrid population
www.marioconde.org
data transfer time 10GB, 6Mb/s
Ludwig Wittgenstein
LENGUA
fernando ignacio
6.000 words
synonyms of say
a_t_r
define happy
words containing "decosblanco"
words ending in cos
words starting with a and ending in ation
word pirate; word contest
words that rhyme with bear
anagrams trace
70,000 words
morsecode sos
Greek "Fernando de Cos"; Greek "Pythagoras"
Spanish, French, Latin; spanish, german; english; Mandarin language;
MÚSICA
C, Eb, C,
do, re, mi fa, sol
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