One of the most common queries on Wolfram|Alpha is a user entering his or her date of birth to see how many years, months, and days old he or she is today.

Since this feature first became popular, we added more birthday-specific features for this query type. By adding “birthday” to your query, you’ll get even more detailed information, such as a birthday countdown, a notable dates pod, and astrological birth information.

For example, submit a query such as “birthday March 29, 1990” to see how many days there are until your next birthday (time to start planning, March 29ers!) and how long it’s been since your last birthday.

Last weekend, we celebrated Halloween in the U.S., and by Sunday evening, retailers had popped up display after display of Christmas trees, snow globes, inflatable snowmen, and other symbols of festive December holidays. And chances are, when the holiday-themed toy commercials hit the television this past week, you asked yourself, “Where did the time go?”

Here at Wolfram|Alpha, the holiday countdown is always on! Wolfram|Alpha knows the dates of many holidays and observations from around the world, from Children’s Day in India to the anniversary of the day the Berlin Wall was opened. Couple that data with Wolfram|Alpha’s ability to calculate dates, and you have a swift tool for counting down to a special day or answering queries such as “number of days between Thanksgiving and Christmas”. And because some similarly named holidays are celebrated on different days in different countries, Wolfram|Alpha will return the appropriate date based on the location of your IP address. So for example, if you’re located in the U.S., Wolfram|Alpha knows that this year, Labor Day was on September 6, and if you’re in the U.K., Labor Day was on May 1.

And if you’re really in the spirit, you can grab one of these simple holiday countdown widgets for your website or blog. This simple widget includes a countdown to Thanksgiving, Chanukkah, Al-Hijra, Christmas, Kwanzaa, and New Year’s Eve in the U.S.

And since Wolfram|Alpha Widgets are customizable, you can create personal widgets that include your favorite popular holidays or private events, such as Fido’s birthday.

Wolfram|Alpha Widgets are just one more way you can share some holiday cheer on your blog and with your social networks. What holiday or special day are you counting down to?

Wolfram|Alpha is still young and constantly improving. One of the biggest hurdles that our developers are constantly faced with is how to correctly interpret the meaning of general user inputs like “How do I factor an equation?”

Wolfram|Alpha is great at calculating answers that have specific inputs, but when general concepts are given (like “factoring”, for example), it becomes a bit tricky. How would one calculate a concept like that? Let us look at a specific example—Wolfram|Alpha can easily calculate integrals, as long as you ask it to integrate an explicit function. But what happens when you simply ask Wolfram|Alpha to “integrate”? Before, had you given this input, a number of examples using the word “integrate” would have been generated to show how to properly ask Wolfram|Alpha to calculate an integral. But now, when you enter a generic term or question related to a specific math function or formula, it provides a simple query-specific calculator.

For example, given the query “Show me how to integrate”, the following results appear:

Notice that new input fields appear (as well as optional ones in case the integral is to be calculated within a range, and/or with multiple variables). Similarly, notice how the input fields differ depending on the query: More »

Wolfram|Alpha has many trillions of pieces of data, many of which are facts about people, places, and things. All of this knowledge is built upon a computational engine that allows us to mash up topic areas and do impressive, if not outrageous, computations. In honor of it being Friday, we’ll share a few fun facts to get your mind curious about what else is waiting to be discovered within Wolfram|Alpha.

Fact: Your Halloween Jack-o’-lantern has 40 chromosomes.

Fact: There are 4.3 x 10^6 calories in one short ton of Snickers.

Fact: Lassoing the Moon from Earth will require about 239,200 miles of rope on average!

Fact: 36 degrees was the high temperature in New York City on the day Justin Bieber was born.

Fact: On April 1, 1976, just 47 years after Louis Marx popularized the yo-yo, Apple Computer was created—no joke!

These are just few of the fun facts highlighting data areas such as nutrition, species, science, weather, history, and events. What fun facts have you discovered in Wolfram|Alpha?

Here at Wolfram|Alpha we’re always asking questions and seeking answers in an effort to make all of the world’s knowledge computable and understandable by everyone (big or small).

We’ve put together a short list of common questions asked by preschool- and kindergarten-aged children that can be answered with Wolfram|Alpha. We hope these examples inspire your child to dream up more!

Is the Moon bigger than the Earth? Ask Wolfram|Alpha to compare “size of earth, size of moon”, and you’ll discover numerical and graphic size comparisons showing that the Earth is indeed larger than the Moon.

Chances are your little artists will discover the answer to this question on their own, but they can try asking Wolfram|Alpha what color they get when they “mix red and blue”?

Whether it’s because they’re excited about the party or just turning a year older, the birthday countdown is always on! Simply ask Wolfram|Alpha about the date of the child’s upcoming birthday, such as “October 8 2010”, to learn the number of days, weeks, or months until the big day.

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Four hundred years ago, on January 7, 1610, Galileo pointed his telescope at the planet Jupiter and discovered that it had its own moons. This discovery changed our perspective on the universe.

Prior to Galileo’s discovery, the Earth-centric Ptolemaic system was the standard view of the cosmos where Earth was the center–heaven was above and Earth was below. Copernicus had proposed a heliocentric model, but it was a mental exercise meant to simplify the complicated Ptolemaic system. Galileo’s discovery was the first one that showed evidence that something was orbiting a body other than Earth. If Jupiter had things in orbit around it, why couldn’t other bodies?

At the time telescopes were cutting-edge, and only a few people had them. What Galileo did was an instructive example on how to combine technology and curiosity.

Today you can recreate the moment with today’s technology by typing “Jupiter” into Wolfram|Alpha.

Among the pods about Jupiter, there is a graphic showing the current configuration of the so-called “Galilean moons”, the ones Galileo saw 400 years ago: Io, Europa, Ganymede, and Callisto.

Type “Galilean moons” to find out more about them. Or for historical curiosity, try “January 7, 1610” and find out more about that day.

You can even virtually recreate Galileo’s observations for yourself. Here’s how he depicted what he saw 400 years ago on the night of January 7:

And here is what he saw a few days later:

In Galileo’s diagrams, the circle represents Jupiter, and the asterisks represent the moons he observed. He didn’t know they were moons until the second observation, when they had changed position. More »