Today I'm thinking about...
Is there a limit in mathematics?
A long time ago, people needed a way to count.
____
| | How should I know how many sheep do
|____| I have?
|
/ | \
/ | \
/ \
/ \
The solution is... NUMBERS!
They only needed numbers for counting, so they created Natural Numbers, which are 0,1,2,3,4,5,6,7,8,9 and so on.(0 is often considered) This was good until they found a problem when they did the operation minus.
5 - 2 = 3 // This is okay.
2 - 5 = ? // But how to represent this?
So, people created negative numbers and placed negative and positive numbers in a set called integers.
____
| | This is easier!
|____|
|
/ | \
/ | \
/ \
/ \
But then, another problem appeared.
Division.
2 / 1 = 2
1 / 2 = ?
They invented decimals and fractions to solve the problem.
_____________________
| |
| MINECRAFT |
| __ __ |
| |__| |__| |
| ___ |
| __ | |__ |
| | ___ | |
| |__| |__| |
| |
| 10 percent discount! |
| ONLY TODAY!!! |
|_____________________|
And percentages tagged along.
All was great until the time of Pythagoras.
____
/ 2 = 1.414213562 ......
\/
They needed a new name for this type of number.
Since any integer can be shown as a fraction or ratio,
2 = 2
1
They called this type of number as rational numbers.
To be continued...
29-10-2017
Sunday, October 29, 2017
Saturday, October 28, 2017
Sunday, October 22, 2017
The e Team Episode 2
Welcome back to the e Team! We will continue on where we left off.
_________________________________________________________________
_________\_\___\_\_______________________/_/____/_/_________________
\ \ |\ \ \ _ / \ / / \\
\___\ \ ___\ /__/ /__ /
|___| |____| |___| |___|
\ \ / / _________
\ \ / / | |
\ ____\ _________________ /_______/ _______ | |
| |
|_________|
Run off when you can,
and leave me alone,
would you? Hmph!
Okay, Frank. We're sorry. Anyway, where are they bringing you to?
_________________________________________________________________
_________\_\___\_\_______________________/_/____/_/_________________
\ \ |\ \ \ _ / \ / / \\
\___\ \ ___\ /__/ /__ /
|___| |____| |___| |___|
\ \ / / _________
\ \ / / | |
\ ____\ _________________ /_______/ _______ | |
| |
|_________|
How should I know?
Well, that's an honest answer.
Hey, I think we've stopped.
Excuse me, where are we?
______
| | We are at the e Team's headquarters.
| | I expect that you are travellers, right?
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
How did you know?
______
| | Using our mind of prediction and current
| | technology.
| ______| And MATHEMATICS!
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
Okay, but why did you bring us here?
______
| | We have a problem on our hands.
| | We do not know how to solve 1/2!
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
_________
1 . 0
- 1 . 0
0
Like 10 divided by 2 is 5,
1 divided by 2 is 0.5.
To be continued...
_________________________________________________________________
_________\_\___\_\_______________________/_/____/_/_________________
\ \ |\ \ \ _ / \ / / \\
\___\ \ ___\ /__/ /__ /
|___| |____| |___| |___|
\ \ / / _________
\ \ / / | |
\ ____\ _________________ /_______/ _______ | |
| |
|_________|
Run off when you can,
and leave me alone,
would you? Hmph!
Okay, Frank. We're sorry. Anyway, where are they bringing you to?
_________________________________________________________________
_________\_\___\_\_______________________/_/____/_/_________________
\ \ |\ \ \ _ / \ / / \\
\___\ \ ___\ /__/ /__ /
|___| |____| |___| |___|
\ \ / / _________
\ \ / / | |
\ ____\ _________________ /_______/ _______ | |
| |
|_________|
How should I know?
Well, that's an honest answer.
Hey, I think we've stopped.
Excuse me, where are we?
______
| | We are at the e Team's headquarters.
| | I expect that you are travellers, right?
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
How did you know?
______
| | Using our mind of prediction and current
| | technology.
| ______| And MATHEMATICS!
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
Okay, but why did you bring us here?
______
| | We have a problem on our hands.
| | We do not know how to solve 1/2!
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
Great, we can help you.
A visual representation is possible using a circle or a square.
We have a pie here.
_________
| |
| |
| |
| |
|_________|
Isn't it great!
______
| |
| | Hey, that was my pie!
| ______|
|
/ | \
/ | \
|
|
/ \
/ \
/ \
Never mind, Frank.
We can cut our pie in half.
| | Hey, that was my pie!
| ______|
|
/ | \
/ | \
|
|
/ \
/ \
/ \
Never mind, Frank.
We can cut our pie in half.
| | |
| | |
| | |
| | |
|____ | ____|
We can cut our pie into two pieces.
Why two?
Because in an equation x/y, y is the number of pieces to cut into.
Now, all we have to do is take x number of pieces away.
____
| |
| |
| |
| |
|____ |
This is our solution. One half of a pie.
______
| | We got that.
| | But how about a mathematical solution?
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
Easy! We can use division.
Each number can have lots of zeroes before it, right?
00000000002
The value of the number would be the same without the zeroes.
00000000002 = 2
A number also can have zeroes after it.
2.00000
Similarly, it also equals to 2.
______
| | Why is there a dot in 2 . 00000?
| |
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
| | We got that.
| | But how about a mathematical solution?
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
Easy! We can use division.
Each number can have lots of zeroes before it, right?
00000000002
The value of the number would be the same without the zeroes.
00000000002 = 2
A number also can have zeroes after it.
2.00000
Similarly, it also equals to 2.
______
| | Why is there a dot in 2 . 00000?
| |
| ______|
|
/ | \
/ | \
__|__
| |
|_____|
/ \
/ \
This is to separate the number from 20000.
So, using division,
0 . 5
_______
2 / 1
/ - 0 1 . 0
- 1 . 0
0
Like 10 divided by 2 is 5,
1 divided by 2 is 0.5.
To be continued...
Lego House
Dear visitors,
Please enjoy this song.
I hope you enjoyed it.
Thanks for visiting!
22-10-2017
Please enjoy this song.
I hope you enjoyed it.
Thanks for visiting!
22-10-2017
Friday, October 20, 2017
The e Team Episode 1
Welcome! We are the e Team. Come on in.
__
|__|
____|____
| | __ | |
| |_| |__|/ \ |
|_________|
| |
|_________|
No, not the Eat Team. It's the e Team!
___________________________________
| | |
| _________ | _________ |
| / _______ | ______ \ |
| / / | \ \ |
| / / | \ \ |
| / /_________ | _______\ \ |
| \ _________ |____________ \ |
| \ \ | |
| \ \ | __ |
| \ \ | / / |
| \ \ _______ |_________/ / |
| \__________|___________/ |
| | |
| | |
| | |
| | |
| | |
|_______________ | __________________|
Here we are. The e Team's top secret lair.
Today, the e Team is trying to build a time machine.
So far, they got this.
__________O__________
| |
| |
| _______ |
| | | |
| | e | |
| |_______| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
|_____________________ |
____
| | Boss! Boss! I am going to show you time travel!
|____|
|
/ | \
/ | \
|
/ \
/ \
Okay, Benjamin.
____
| | I have time traveled 1 second into the future!
|____|
|
/ | \
/ | \
|
/ \
/ \
1 second later...
Oh, Benjamin!
Now, let's witness real time travel.
Here is Frank.
____
| | Hi!
|___ /|
| /
/ |
/ |
|
/ \
/ \
Okay, Frank. Show us REAL time travel!
__________O__________
| |
| |
| |
| |
| Okay, wait a minute. |
| Done! |
| ____ |
| | | |
| |____| |
| | |
| / | \ |
| / | \ |
| | |
| / \ |
|________/___\_________ |
Now where are we?
____
| | I don't know.
|____|
|
/ | \
/ | \
|
/ \
/ \
I sense somebody coming...
____
| | Hi, Boss!
|____|
|
/ | \
/ | \
|
/ \
/ \
Benjamin!? What are you doing here?
____
| | I was upgrading the time machine.
|____| Frank suddenly time traveled and brought me here.
|
/ | \
/ | \
|
/ \
/ \
Oh, Benjamin!
Okay, but I still feel something coming.
____
| | Arrrrr....... I smell trespassers!
|____|
|
/ | \
/___\
|__ |
/ \
/ \
Uh oh... CAVEMEN!
To be continued...
20-10-2017
Sunday, October 15, 2017
Saturday, October 14, 2017
CC Version 3: It's so cool!
The next version of CC is here!
It is special because it has an efficient brain.
__________ __________ e _________
/ Short \ i / \ --------> | Delete |
_ / term \ ------> / Temporal \ /__i__ | function |
/ \ \ memory / \ \ memory / \ | |_________|
/ \__________/ \ \ __________/ |
/ \ i |
/ \ |
i / _\ / |
__________ / ___________ ___________ |
/ \/ e | | e / Long \ |
/ Database \ <----- | Search | ------>/ term \ ________|
\ / | function | \ memory /
\___________/ |___________ | \___________/
i for input and e for execute
The Brain
CC has short term memory, long term memory, temporal memory and database as the data storage. It also has two functions which are search function and delete function.
The short term memory can keep up to 8 memories while the temporal memory can keep up to 128 memories and the long term memory can keep up to 2048 memories.
In conclusion, it has an advanced brain which allows it to think faster.
14-10-2017
14-10-2017
CC Version 3
/ / / / / \ \ \ \ \ / / / / / ___________________ | __ __ | | / \ / \ |______ | | | | | | __ \ | | | | | | == == | | | | | \ / | |__| | | \________/ |______/ | | \___________________/
Sunday, October 08, 2017
CC Version 2 : It's back!
I have created CC Version 2!
Here are some things that CC Version 2 can understand.
- birthday
- bye
- coffee birthday
- creator
- hello
- shape of you
- tell me why
- tlof
- who are you
However, please take note that CC Version 2 can only understand lowercase letters.
Thanks for visiting!
08-10-2017
Here are some things that CC Version 2 can understand.
- birthday
- bye
- coffee birthday
- creator
- hello
- shape of you
- tell me why
- tlof
- who are you
However, please take note that CC Version 2 can only understand lowercase letters.
Thanks for visiting!
08-10-2017
CC Version 2
/ / / / / / / / \ \ \ \ \ \ \ \ / / / / / / / / __________________ | __ __ | | / \ / \ |______ | | | | | | __ \ | | | | | | == == | | | | | \ / | |__| | | \_______/ |______/ | | \__________________/
Thinking Out Loud Ep 1.1
Welcome back!
To continue from last episode, we will consider the requirements needed.
1. A complex and capable device must be used.
2. The device must be able to operate at a fast speed.
3. The device must be able to do calculations and operations without any error at all. (100% correct and 0% wrong!)
4. The civilization that creates the simulation must be very intelligent and advanced.
5. The planet the civilization lives on or the galaxy that the civilization lives in must have a lot of resources.
We'll explain requirements 3,4 and 5.
Imagine that the device suddenly creates an error and something against the laws of science including physics, chemistry and biology and the laws of mathematics happens in the simulation.
The test subjects in the simulation might notice the error and discover that the world that they are living in is a simulation.
For number 4, this is simple to understand. The civilization must maintain, upgrade and keep the simulation running for... maybe forever? If it doesn't, then the simulation will crash and it will be the end of the world for the test subjects. Furthermore, the civilization must be advance in the first place to create the simulation.
Last but not least, number 5! Similar to the construction of a computer, a lot of metallic elements must be used. So, the surrounding environment of the civilization must be resourceful enough to have the requirements to create and maintain the device.
It still may be impossible for a simulation to be created in our world, but imagine what would it be like if we were THE simulation. Who would have created us? Do they know the whole world's secrets? Could we communicate with them?
But what if we were A simulation? What do I mean? We could have been created by a simulation inside a simulation inside a simulation inside a simulation... and so on.
Back to the point. With the technology now, it would be hard to create a simulation. However, we might be living in one. Or one inside another one. Don't get me started again...
That's all.
Thanks for drinking.
08-10-2017
To continue from last episode, we will consider the requirements needed.
1. A complex and capable device must be used.
2. The device must be able to operate at a fast speed.
3. The device must be able to do calculations and operations without any error at all. (100% correct and 0% wrong!)
4. The civilization that creates the simulation must be very intelligent and advanced.
5. The planet the civilization lives on or the galaxy that the civilization lives in must have a lot of resources.
We'll explain requirements 3,4 and 5.
Imagine that the device suddenly creates an error and something against the laws of science including physics, chemistry and biology and the laws of mathematics happens in the simulation.
The test subjects in the simulation might notice the error and discover that the world that they are living in is a simulation.
For number 4, this is simple to understand. The civilization must maintain, upgrade and keep the simulation running for... maybe forever? If it doesn't, then the simulation will crash and it will be the end of the world for the test subjects. Furthermore, the civilization must be advance in the first place to create the simulation.
Last but not least, number 5! Similar to the construction of a computer, a lot of metallic elements must be used. So, the surrounding environment of the civilization must be resourceful enough to have the requirements to create and maintain the device.
It still may be impossible for a simulation to be created in our world, but imagine what would it be like if we were THE simulation. Who would have created us? Do they know the whole world's secrets? Could we communicate with them?
But what if we were A simulation? What do I mean? We could have been created by a simulation inside a simulation inside a simulation inside a simulation... and so on.
Back to the point. With the technology now, it would be hard to create a simulation. However, we might be living in one. Or one inside another one. Don't get me started again...
That's all.
Thanks for drinking.
08-10-2017
Tuesday, October 03, 2017
Sunday, October 01, 2017
Thinking Out Loud Ep 1.0
Today, I'm thinking about...
Is the world a simulation?
First, let's define what is a simulation.
A simulation is an imitation of a situation or process.
If so, that must mean that our world is controlled by a device which is capable of running or calculating lots of operations each second. An atom vibrates at a frequency of 10^13 Hz. It means that an atom vibrates 10^13 times per second or 10^11 times per millisecond. If there are 1,000,000 atoms in a simulation, the device will have to do 10^19 operations in a second. So, the device must be really accurate,consistent and fast.
Other than the requirement of a super computer, there is also the requirement for a device that is capable to store lots of memory. Like the example above, if the device were to keep all the movements of the atoms in a second, it would have to store about 1.25*10^18 bytes of memory. This would require great and advanced technology.
With those two requirements in mind, it may seem impossible to create a simulation like above. However, it is not impossible.
To be continued...
01-10-2017
Is the world a simulation?
First, let's define what is a simulation.
A simulation is an imitation of a situation or process.
If so, that must mean that our world is controlled by a device which is capable of running or calculating lots of operations each second. An atom vibrates at a frequency of 10^13 Hz. It means that an atom vibrates 10^13 times per second or 10^11 times per millisecond. If there are 1,000,000 atoms in a simulation, the device will have to do 10^19 operations in a second. So, the device must be really accurate,consistent and fast.
Other than the requirement of a super computer, there is also the requirement for a device that is capable to store lots of memory. Like the example above, if the device were to keep all the movements of the atoms in a second, it would have to store about 1.25*10^18 bytes of memory. This would require great and advanced technology.
With those two requirements in mind, it may seem impossible to create a simulation like above. However, it is not impossible.
To be continued...
01-10-2017
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