Tuesday, February 22, 2011
Monday, February 21, 2011
Monday, February 14, 2011
Saturday, February 12, 2011
What is a logarithm?
Logarithms (or log for short) are highly useful in science, but they scare people a lot.
Imagine a function f(x) that takes x and does something to it.
Another function, g(x) "undoes" what f does.
In other words,
g[f(x)] = x
In English, if you hit x with f and then hit it with g you have come right back to where you started - it's like adding two and then subtracting two from a number. In math, we call f and g inverse functions.
Now, let's define what f does.
f(x)=10^x
So now, we define f so that it raises 10 to whatever x is.
NOW THE FUN PART! What is the g, the inverse function of f?
It is by definition a logarithm!!!!!!!!!!!!!!!!!!!
g(x)=log(x)
Let's do an example.
What is log(10^3)? Well the answer is obvious: 3! (Remember this can be rewritten as g[f(3)] which is, by definition, just 3.
Normally, logarithms are base 10 like the example, but we can define them to be base anything. Other popular logs are base e and base 2. (e is a number kinda like pi. It is roughly 2.71)
Imagine a function f(x) that takes x and does something to it.
Another function, g(x) "undoes" what f does.
In other words,
g[f(x)] = x
In English, if you hit x with f and then hit it with g you have come right back to where you started - it's like adding two and then subtracting two from a number. In math, we call f and g inverse functions.
Now, let's define what f does.
f(x)=10^x
So now, we define f so that it raises 10 to whatever x is.
NOW THE FUN PART! What is the g, the inverse function of f?
It is by definition a logarithm!!!!!!!!!!!!!!!!!!!
g(x)=log(x)
Let's do an example.
What is log(10^3)? Well the answer is obvious: 3! (Remember this can be rewritten as g[f(3)] which is, by definition, just 3.
Normally, logarithms are base 10 like the example, but we can define them to be base anything. Other popular logs are base e and base 2. (e is a number kinda like pi. It is roughly 2.71)
Thursday, February 10, 2011
Quote of the Day
"Hello. My name is Stephen Hawking, physicist, cosmologist, and something of a dreamer. Although I cannot move, and I have to talk through a computer, in my mind I am free!"
- Stephen P. Hawking
- Stephen P. Hawking
Riveting Riddles
The more you take away, the bigger it becomes. What is it?
scroll down for answer
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a hole
scroll down for answer
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a hole
a very useful post
visit the best website
Are you a student? Do you hate the block schedule? Visit:
http://cmh13.com/block.htm
Are you a student? Do you hate the block schedule? Visit:
http://cmh13.com/block.htm
What's with the name?
W.C. stands for
| WC | Water Closet (restroom) |
| WC | Welcome |
| WC | World Cup |
| WC | World of Warcraft (computer game) |
| WC | Warcraft |
| WC | Web Cam |
| WC | Wildcat |
| WC | World Class |
| WC | Wild Card (sports; card games) |
| WC | Wind Chill |
| WC | Who Cares? |
| WC | Working Copy |
| WC | Weather Channel |
| WC | World Champion |
| WC | Westchester |
| WC | Will Consider |
| WC | Worker's Compensation |
| WC | Word Count |
| WC | Worst Case (conditions) |
| WC | Waist Circumference |
| WC | Weatherford College (Weatherford, Texas) |
| WC | Westminster College |
| WC | Wing Commander |
| WC | Westside Connection |
| WC | Writing Center |
| WC | Working Capital |
| WC | Tungsten Carbide |
| WC | Water-Cooled |
| WC | Winston Churchill |
| WC | Water Column (measure of pressure) |
| WC | Western Conference (hockey) |
| WC | Winston Cup |
| WC | Write Combining |
| WC | Wisconsin Central (railroad) |
| WC | Without Charge |
| WC | Way Cool |
| WC | Worship Center |
| WC | Washington Capitals (hockey team) |
| WC | Wabash College (Indiana) |
| WC | Wild Cherry |
| WC | Wire Center |
| WC | Wilmington College (Ohio) |
| WC | Western Central |
| WC | World Cultures |
| WC | West Covina (California) |
| WC | Wheaton College (Illinois) |
| WC | Web Cache |
| WC | War College |
| WC | Work Center |
| WC | Work Completed |
| WC | Watson-Crick (DNA model) |
| WC | Word Choice (proofreading) |
| WC | Wall Covering |
| WC | London West Central (postcode, United Kingdom) |
| WC | Warren Central (High School) |
| WC | Works Council |
| WC | Windows Computer |
| WC | World Court |
| WC | Welsh Corgi |
| WC | Wealth Creation |
| WC | Weather Condition |
| WC | Wall Calendar |
| WC | West Chester University (West Chester, PA) |
| WC | With Contract |
| WC | Water Cut |
| WC | Writer's Cramp |
| WC | Wailing Caverns (World of Warcraft game) |
| WC | War Child |
| WC | Wesleyan Church |
| WC | Wes Craven (film director) |
| WC | Windows Commander |
| WC | Wood Cutting (RuneScape) |
| WC | Winchester Cathedral |
| WC | Wildwood Crest (New Jersey) |
| WC | World Changers |
| WC | Wellington College (UK) |
| WC | War Chief (gaming) |
| WC | Weapons Control |
| WC | Wavelength Converter (IEEE) |
| WC | Westfield College |
| WC | Corrected Sweep Width |
| WC | World Conquest (gaming) |
| WC | Wad Cutter (type of bullet) |
| WC | Wesleyan Chapel |
| WC | Worthless Check (finance) |
| WC | wind current (US DoD) |
| WC | Watch Commander (police) |
| WC | Wolf Camera |
| WC | Waiting Child (adoptions) |
| WC | West Coaster (rollercoaster website) |
| WC | World Craft (3D mapping program) |
| WC | West Commons (Everquest) |
| WC | Wideband Communications |
| WC | World Clubs (Northwest Airlines lounge) |
| WC | World Concept |
| WC | Weight Code (vehicle registration USA) |
| WC | Wailing Caves (gaming, Everquest II) |
| WC | Working Circle (Sprint) |
| WC | Warlord's Command (gaming, World of Warcraft) |
| WC | Write Controller |
| WC | Written Comprehension (test) |
| WC | White Cornish (chicken breed) |
| WC | Withdrawal Credit |
| WC | Wind driven Current |
| WC | Woman Constable (UK) |
| WC | Wraparound Counter |
| WC | Waste Convenience |
| WC | WasteCare Corporation |
| WC | Waived with Credits |
| WC | Work of the Chariot Trust |
| WC | Wog Coalition |
| WC | Weyman Copenhagen (Copenhagen Snuff) |
| WC | Wanaruah Custodians (Australia) |
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