Wolfram|Alpha introduces a fundamentally new way to get knowledge and answers—

not by searching the web, but by doing dynamic computations based on a vast collection

of built-in data, algorithms, and methods.

**Computational Knowledge Engine :**

Doing some experiments and discoveries

Search word " wolfram "

first search "wolfram"

wolfram

**we found "Stephen Wolfram (scientist)"**

and note : Assuming "wolfram" is a person

second search : selected Use as" a chemical element"

wolfram

**found "tungsten (chemical element)"**

- many info windows with more buttons ( try to push them all)

- some buttons for select info- and data format etc.. (try them all)

third search : selected Use as" an internet domain"

wolfram

- try buttons again

fourth search : selected Use as" a surname "

wolfram

fifth search : selected Use as" a word "

wolfram

**Allways bottom of master window you see "source information" button for listing of sources**

Other searches

where is wolfram

morse code wolfram

price of wolfram

Others:

london

london and paris

15-sided polyhedron

Some Electric Circuits

resonance frequency 20uF, 5H

RLC circuit 10ohm, 12H, 400uF

6800 ohm resistor

Butterworth filter

Chebyshev type 2 filter

Some Physics

circular aperture a=0.2mm, lambda=650nm

adiabatic process Vi=10L, Vf=2L, pi=1atm

atomic spectrum of nitrogen

Some Music

A A# B

major seventh

key of A major Bflat minor

E blues phrygian

play 440Hz tone + 444Hz tone

we will return to these searches in the following parts of this blog

**Next,lets look at the mathematical searches and plotting**

**The following is not intended to be a handbook,**

but only a listing of search examples

but only a listing of search examples

Elementary Mathematics

do basic arithmetic

1.05 * 12,000

sqrt 1801

1/6 + 5/12 + 3/4

3/8 * 2/7

Numbers

compute properties of an integer

28

do exact arithmetic with integers

141(2^141) + 1

compute a prime factorization

factor 70560

compute properties of a rational number

12/17

compute the exact value of a repeating decimal

.03571428571428...

compute properties of an irrational number

sqrt(13)

determine whether a number is irrational

Is cbrt(3) an irrational number?

determine whether a number is algebraic

Is sin(pi/17) an algebraic number?

identify algebraic integers and units

Is 1/(1+sqrt(5)) an algebraic integer?

determine whether a number is transcendental

Is sqrt(2)^sqrt(2) transcendental?

get information about a transcendental number

Champernowne constant

do basic arithmetic on complex numbers

1/(12+7i)

find roots of complex numbers

(1+i)^(1/5)

apply functions to complex numbers

exp(24+2i)

do exact arithmetic with large numbers

1927508279017230597 + 278789278723478925

find a decimal approximation

(1+e)/2

compute a decimal approximation to a specified number of digits

pi to 2000 digits

compute the value of a mathematical constant

feigenbaum alpha

do computations involving constants

golden ratio - 1/(golden ratio)

find possible closed forms for an approximate number

-0.283882181415

represent an approximate number in terms of specified constants

express 4.8675 through pi and e

visualize a set of real numbers on a number line

number line 2, 3, 5, 7, 11, 13

show multiple sets on a number line

number line x^2>5, 0<=x<3

compute properties of an interval of real numbers

[3,8)

compare intervals

intervals [0,1), (1,oo)

convert a decimal number to another base

1275 to base 7

convert a number in a given base to decimal

100011010 base 2

do mixed-base computations

(28 base 16) + (30 base 5)

do computations with Roman numerals

XLVIII + LXXII

convert a decimal number to Mayan numerals

365 to Mayan

find the English name of a large number

10^39

specify a number by name

49 tredecillion