Leanne Cole, (over at https://leannecole.com.au/photochallenge4trains/), asked for Train photos so this is mine.
A bit of nostalgia for all of you.
This upcoming Friday, the 18th of November, marks the 31st anniversary of the debut of the famed Calvin and Hobbes Comic Strip.
One of my and my sibling’s favorite things to do on weekends was read through Calvin and Hobbes collections. Books like “The Days Are Just Packed” and “There’s Treasure Everywhere” topped the list as our top 2 favorite books out of the collection of a dozen or so that we had lining our bookshelves.
Since we would never stop reading through them over and over, our parents limited us to only reading them on Saturday mornings. So it was always a treat to sit down with a comic book and laugh at all the silly adventures the two rambunctious youths participated in.
As we got older we started to understand more of the obscure adult and political jokes….. reading through a book we had read through a hundred times started to yield fresh humor.
It wasn’t till many years later that I started to understand one particular comic.
“It’s A Magical World” Collection is the eleventh and last printed collection, released in October 1996 and contained comics dating from March 20, 1995 to December 31, 1995, including the comic in question; the “It’s a magical world” comic. (from It’s a Magical World Wikia)
This comic is widely accepted at the last comic ever written by Comic Strip Artist and Author of Calvin and Hobbes, Bill Watterson.
It provides a fitting end to all of Calvin’s shenanigans in the best way possible…. with the knowledge that he will always be out there exploring…..
But I recently found a story that might provide a more fitting end for all of you who felt there should be more to the story…..
(The original post can be found at (http://www.tickld.com/x/af/thisguyjustchangedthewayweseecalvinandhobbes) all credit goes to the original author.)
In The Final Minutes Of His Life, Calvin Has One Last Talk With Hobbes.
“Calvin? Calvin, sweetheart?”
In the darkness Calvin heard the sound of Susie, his wife of fiftythree years. Calvin struggled to open his eyes. God, he was so tired and it took so much strength. Slowly, light replaced the darkness, and soon vision followed. At the foot of his bed stood his wife.
Calvin wet his dry lips and spoke hoarsely, “Did… did you…. find him?”
“Yes dear,” Susie said smiling sadly, “He was in the attic.”
Susie reached into her big purse and brought out a soft, old, orange tiger doll. Calvin could not help but laugh. It had been so long. Too long.
“I washed him for you,” Susie said, her voice cracking a little as she laid the stuffed tiger next to her husband.
“Thank you, Susie.” Calvin said.
A few moments passed as Calvin just laid on his hospital bed, his head turned to the side, staring at the old toy with nostalgia.
“Dear,” Calvin said finally. “Would you mind leaving me alone with Hobbes for a while? I would like to catch up with him.”
“All right,” Susie said. “I’ll get something to eat in the cafeteria. I’ll be back soon.”
Susie kissed her husband on the forehead and turned to leave. With sudden but gentle strength Calvin stopped her. Lovingly he pulled his wife in and gave her a passionate kiss on the lips.
“I love you,” he said.
“And I love you,” said Susie. Susie turned and left.
Calvin saw tears streaming from her face as she went out the door. Calvin then turned to face his oldest and dearest friend.
“Hello Hobbes. It’s been a long time hasn’t it old pal?”
Hobbes was no longer a stuffed doll but the big furry old tiger Calvin had always remembered.
“It sure has, Calvin.” said Hobbes.
“You… haven’t changed a bit.” Calvin smiled.
“You’ve changed a lot.” Hobbes said sadly.
Calvin laughed, “Really? I haven’t noticed at all.”
There was a long pause.
The sound of a clock ticking away the seconds rang throughout the sterile hospital room.
“So… you married Susie Derkins.” Hobbes said, finally smiling. “I knew you always like her.”
“Shut up!” Calvin said, his smile bigger than ever.
“Tell me everything I missed. I’d love to hear what you’ve been up to!” Hobbes said, excited. And so Calvin told him everything.
He told him about how he and Susie fell in love in high school and had married after graduating from college, about his three kids and four grandkids, how he turned Spaceman Spiff into one of the most popular scifi novels of the decade, and so on.
After he told Hobbes all this there was another pregnant pause.
“You know… I visited you in the attic a bunch of times.” Calvin said.
“I know.”
“But I couldn’t see you. All I saw was a stuffed animal.” Calvin voice was breaking and tears of regret started welling up in his eyes.
“You grew up old buddy.” said Hobbes.
Calvin broke down and sobbed, hugging his best friend. “I’m so sorry! I’m so sorry I broke my promise! I promised I wouldn’t grow up and that we’d be together forever!!”
Hobbes stroke the Calvin’s hair, or what little was left of it.
“But you didn’t.”
“What do you mean?”
“We were always together… in our dreams.”
“We were?”
“We were.”
“Hobbes?”
“Yeah, old buddy?”
“I’m so glad I got to see you like this… one last time…”
“Me too, Calvin. Me too.”
“Sweetheart?” Susie voice came from outside the door.
“Yes dear?” Calvin replied.
“Can I come in?” Susie asked.
“Just a minute.” Calvin turned to face Hobbes one last time. “Goodbye Hobbes. Thanks… for everything…”
“No, thank you Calvin.” Hobbes said.
Calvin turned back to the door and said, “You can come in now.”
Susie came in and said, “Look who’s come to visit you.” Calvin’s children and grandchildren followed Susie into Calvin’s room.
The youngest grandchild ran past the rest of them and hugged Calvin in a hard, excited hug. “Grandpa!!” screamed the child in delight.
“Francis!” cried Calvin’s daughter, “Be gentle with your grandfather.”
Calvin’s daughter turned to her dad. “I’m sorry, Daddy. Francis never seems to behave these days. He just runs around making a mess and coming up with strange stories.”
Calvin laughed and said, “Well now! That sound just like me when I was his age.”
Calvin and his family chatted some more until a nurse said, “Sorry, but visiting hours are almost up.”
Calvin’s beloved family said good bye and promised to visit tomorrow.
As they turned to leave Calvin said, “Francis. Come here for a second.”
Francis came over to his grandfather’s side, “What is it Gramps?”
Calvin reached over to the stuffed tiger on his bedside and held him out shakily to his grandson, who looked exactly as he did so many years ago.
“This is Hobbes. He was my best friend when I was your age. I want you to have him.”
“He’s just a stuffed tiger.” Francis said, eyebrows raised.
Calvin laughed, “Well, let me tell you a secret.”
Francis leaned closer to Calvin.
Calvin whispered, “If you catch him in a tiger trap using a tuna sandwich as bait he will turn into a real tiger.”
Francis gasped in delighted awe.
Calvin continued, “Not only that he will be your best friend forever.”
“Wow! Thanks grandpa!” Francis said, hugging his grandpa tightly again.
“Francis! We need to go now!” Calvin’s daughter called.
“Okay!” Francis shouted back.
“Take good care of him.” Calvin said.
“I will.” Francis said before running off after the rest of the family.
Calvin laid on his back and stared at the ceiling. The time to go was close. He could feel it in his soul.
Calvin tried to remember a quote he read in a book once. It said something about death being the next great adventure or something like that. His eyelids grew heavy and his breathing slowed. As he went deeper into his final sleep he heard Hobbes, as if he was right next to him at his bedside.
“I’ll take care of him, Calvin…” Calvin took his first step toward one more adventure and breathed his last with a grin on his face.
The End
And there you have it…..
Hope that made you all smile as we start a new week and prepare for the stresses and headaches this holiday season will no doubt bring.
May God bless you all and have a wonderful day.
Benramz
My first Speed Art video
My first Photoshop Speed art video has been uploaded to YouTube.
It can be seen here: Grand Canyon Composite Speed art #Photoshop
Postaday
The things that come to those who wait may very well be the things left behind by those who got there first.
The Number Zero
The number Zero isn’t really a number, it’s a placeholder. Without Zero, 1205 would look like 125.
Zero
The idea of nothingness and emptiness has inspired and puzzled mathematicians, physicists, and even philosophers. What does empty space mean? If the space is empty, does it have any physical meaning or purpose?
From the mathematical point of view, the concept of zero has eluded humans for a very long time. In his book, The Nothing That Is, author Robert Kaplan writes, “Zero’s path through time and thought has been as full of intrigue, disguise and mistaken identity as were the careers of the travellers who first brought it to the West.” But our own familiarity with zero makes it difficult to imagine a time when the concept of zero did not exist. When the last pancake is devoured and the plate is empty, there are zero pancakes left. This simple example illustrates the connection between counting and zero.
Counting is a universal human activity. Many ancient cultures, such as the Sumerians, Indians, Chinese, Egyptians, Romans, and Greeks, developed different symbols and rules for counting. But the concept of zero did not appear in number systems for a long time; and even then, the Roman number system had no symbol for zero. Sometime between the sixth and third centuries b.c.e., zero made its appearance in the Sumerian number system as a slanted double wedge.
To appreciate the significance of zero in counting, compare the decimal and Roman number system. In the decimal system, all numbers are composed of ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After counting to nine, the digits are repeated in different sequences so that any number can be written with just ten digits. Also, the position of the number indicates the value of the number. For example, in 407, 4 stands for four hundreds, 0 stands for no tens, and 7 stands for seven.
The Roman number system consists of the following few basic symbols: I for 1, V for 5, and X for 10. Here are some examples of numbers written with Roman numerals.
IV = 4 XV = 15
VIII = 8 XX = 20
XIII = 13 XXX = 30
Without a symbol for zero, it becomes very awkward to write large numbers. For 50, instead of writing five Xs, the Roman system has a new symbol, L.
Performing a simple addition, such as 33 + 22, in both number systems further shows the efficiency of the decimal system. In the decimal number system, the two numbers are aligned right on top of each other and the corresponding digits are added.
In the Roman number system, the same problem is expressed as XXXIII + XXII, and the answer is expressed as LV. Placing the two Roman numbers on top of each other does not give the digits LV, and therefore when adding, it is easier to find the sum with the decimal system.
Properties of Zero
All real numbers, except 0, are either positive (x > 0) or negative (x < 0). But 0 is neither positive nor negative. Zero has many unique and curious properties, listed below.
Additive Identity: Adding 0 to any number x equals x. That is, x + 0 = x. Zero is called the additive identity.
Multiplication property: Multiplying any number b by 0 gives 0. That is, b × 0 = 0. Therefore, the square of 0 is equal to zero (0^{2} = 0).
Exponent property: Any number other than zero raised to the power 0 equals 1. That is, b ^{0} = 1.
Division property: A number cannot be divided by 0. Consider the problem 12/0 = x. This means that 0 × x must be equal to 12. No value of x will make 0 × x = 12. Therefore, division by 0 is undefined.
Undefined Division
Because division by 0 is undefined, many functions in which the denominator becomes 0 are not defined at certain points in their domain sets. For instance, is not defined at x = 0; is not defined at x = 1; is not defined at either x = 1 or x = −1.
Even though the function is not defined at 0, it is possible to see the behavior of the function around 0. Points can be chosen close to 0; for instance, x equal to 0.001, 0.0001, and 0.00001. The function values at these points are f (0.001) 1/0.001 1,000; f (0.0001) = 10,000; and f (0.00001) = 100,000.
As x becomes smaller and approaches 0, the function values become larger. In fact, the function grows without bound; that is, the function values has no upper ceiling, or limit, at x = 0. In mathematics, this behavior is described by saying that as x approaches 0, the function approaches infinity.
Approaching Zero
Consider a sequence of numbers which in decimal notation is expressed as 1, 0.5, 0.33, 0.25, 0.2, 0.16, 0.14, and so on. Each number in the sequence is called a term. As n becomes larger, becomes increasingly smaller. When n = 10,000 is 0.0001.
The sequence approaches 0, but its terms never equals 0. However, the terms of the sequence can be as close to 0 as wanted. For instance, it is possible for the terms of the sequence to get close enough to 0 so that the difference between the two is less than a billionth, or 10^{−6}. If one takes , then the sequence terms will be smaller than 10^{−6}. (Encyclopedia.com)
see also Division by Zero; Limit.
For More Information visit:
http://www.encyclopedia.com/topic/zero.aspx#2
http://www.encyclopedia.com/topic/zero.aspx#3
http://www.encyclopedia.com/topic/zero.aspx#4
http://www.encyclopedia.com/topic/zero.aspx#5



Cardinal  0, zero, “oh” (/ˈoʊ/), nought, naught, nil  
Ordinal  zeroth, noughth  
Divisors  all other numbers  
Binary  0_{2}  
Ternary  0_{3}  
Quaternary  0_{4}  
Quinary  0_{5}  
Senary  0_{6}  
Octal  0_{8}  
Duodecimal  0_{12}  
Hexadecimal  0_{16}  
Vigesimal  0_{20}  
Base 36  0_{36}  
Arabic  ٠,0  
Urdu  
Bengali  ০  
Devanāgarī  ० (shunya)  
Chinese  零, 〇  
Japanese  零, 〇  
Khmer  ០  
Thai  ๐ 
The Number 9
The last number is Nine.
Nine in medieval angelology there were traditionally nine orders to the celestial hierarchy; cats proverbially have nine lives; nine days or nights is the period during which a novelty is supposed to attract attention.
Nine Days’ Queen a name for Lady Jane Grey (1537–54), Queen of England for nine days following the death of Edward VI. She was quickly deposed by forces loyal to Edward’s (Catholic) sister Mary, who had popular support, and executed the following year.
nine days’ wonder a person who or thing which is briefly famous.
nineeleven (written 9/11, in American usage) refers to the terrorist action of 11 September 2001, in which hijacked passenger planes were flown into the World Trade Center and the Pentagon, and a fourth hijacked plane crashed near Pittsburgh.
nine men’s morris a game, also known as merrill, played on a board between two players, each with an equal number of pebbles, discs of wood or metal, pegs, or pins.
nine tailors make a man proverbial saying, early 17th century; the literal meaning is that a gentleman must select his attire from various sources. It is now also associated with bellringing: tailors = tellers = strokes, the number of strokes on the passing bell indicating the sex of the deceased.
nine times out of ten on nearly every occasion.
ninetofive used in reference to typical office hours, often to express an idea of predictable routine.
Nine Worthies nine famous personages of ancient Jewish and classical and medieval Christian history and legend ( Joshua, David, and Judas Maccabaeus; Hector, Alexander, and Julius Caesar; and King Arthur, Charlemagne, and Godfrey of Bouillon).
to the nines to a great or elaborate extent (now often in dressed up to the nines). The origin is unclear: it could refer to the number just below the highest point in a scale of 1 to 10, or to the nine Muses. It has also been suggested that it could represent a misdivision of an unrecorded medieval phrase ‘to the eyne [eyes]’. The later association with dress may have been influenced by the 19thcentury sartorial reputation of the 99th Wiltshire Regiment. A baseball team has nine players. (Encyclopedia.com)
Multiplication  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19  20  21  22  23  24  25  50  100  1000  

9  18  27  36  45  54  63  72  81  90  99  108  117  126  135  144  153  162  171  180  189  198  207  216  225  450  900  9000 
Division  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  

9  4.5  3  2.25  1.8  1.5  1.285714  1.125  1  0.9  0.81  0.75  0.692307  0.6428571  0.6  
0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  1  1.1  1.2  1.3  1.4  1.5  1.6 
Exponentiation  1  2  3  4  5  6  7  8  9  10  11  12  13  

9  81  729  6561  59049  531441  4782969  43046721  387420489  3486784401  31381059609  282429536481  2541865828329  
1  512  19683  262144  1953125  10077696  40353607  134217728  387420489  1000000000  2357947691  5159780352  10604499373 
Radix  1  5  10  15  20  25  30  40  50  60  70  80  90  100 

110  120  130  140  150  200  250  500  1000  10000  100000  1000000  
1  5  11_{9}  16_{9}  22_{9}  27_{9}  33_{9}  44_{9}  55_{9}  66_{9}  77_{9}  88_{9}  110_{9}  121_{9}  
132_{9}  143_{9}  154_{9}  165_{9}  176_{9}  242_{9}  307_{9}  615_{9}  1331_{9}  14641_{9}  162151_{9}  1783661_{9} 



Cardinal  nine  
Ordinal  9th (ninth) 

Numeral system  nonary  
Factorization  3^{2}  
Roman numeral  IX  
Unicode symbol(s)  Ⅸ, ⅸ  
Greek prefix  ennea  
Latin prefix  nona  
Binary  1001_{2}  
Ternary  100_{3}  
Quaternary  21_{4}  
Quinary  14_{5}  
Senary  13_{6}  
Octal  11_{8}  
Duodecimal  9_{12}  
Hexadecimal  9_{16}  
Vigesimal  9_{20}  
Base 36  9_{36}  
Amharic  ፱  
Arabicl  ٩  
Urdu  
Armenian numeral  Թ  
Bengali  ৯  
Chinese/Japanese /Korean numeral 
九 (jiu) 玖 (formal writing) 

Devanāgarī  ९ (nau)  
Greek numeral  θ´  
Hebrew numeral  ט (Tet)  
Tamil numerals  ௯  
Khmer  ៩  
Telugu numeral  ౯  
Thai numeral  ๙ 
The Number 8
The next number is Eight.
Eight the word is recorded from Old English (in form ehta, eahta) and is of Germanic origin; it comes from an IndoEuropean root shared by Latin octo and Greek oktō.
The Eight is the name given to a group of American realist painters who exhibited together in 1908, united by a concern to involve painting with the realities of contemporary, especially urban, life.
behind the eight ball (chiefly in North American usage) at a disadvantage; in a variety of the game of pool, the black ball is numbered eight.
have one over the eight have one drink too many, probably from the assumption that the average person can drink eight pints of beer without getting drunk. (Encyclopedia.com)



Cardinal  eight  
Ordinal  8th (eighth) 

Numeral system  octal  
Factorization  2^{3}  
Divisors  1, 3, 4, 8  
Roman numeral  VIII  
Roman numeral (unicode)  Ⅷ, ⅷ  
Greek prefix  octa/oct  
Latin prefix  octo/oct  
Binary  1000_{2}  
Ternary  22_{3}  
Quaternary  20_{4}  
Quinary  13_{5}  
Senary  12_{6}  
Octal  10_{8}  
Duodecimal  8_{12}  
Hexadecimal  8_{16}  
Vigesimal  8_{20}  
Base 36  8_{36}  
Greek  η (or Η)  
Arabic  ٨,8  
Urdu  
Amharic  ፰  
Bengali  ৮  
Chinese numeral  八，捌  
Devanāgarī  ८  
Kannada  ೮  
Telugu  ౮  
Tamil  ௮  
Hebrew  ח (Het)  
Hebrew  שמונה (shmoneh)  
Khmer  ៨  
Korean  팔  
Thai  ๘ 
I have not seen such an extensive Wikipedia page as the one for this number. Check it out here.