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• A MATCHBOX CAR GOIMG 10 M/S AT NORTH EAST
• A MATCHBOX CAR GOIMG 10 M/S AT SOUTH EAST
• A MATCHBOX CAR GOIMG 15 M/S AT N...
Color box
The color can be inferred from the position
Similarily – a Hardness box
• Which again-has 3 apperatures-an input
• And hard electrons come out this port and soft elecrtron come out
this port
And the workings inside the box do not matter
You can imagine-so little worker inside the
box deciding what is extracted
The box can be built with dwarfs, elves, silver
atoms, atoms with a lot of neutrons, etc
But what ever they are built with-they give the
same results the professor is gonna describe
So-a chief property of the hardness and color
boxes is the ‘results are repeatable”
If I send in an electron and it comes out a
color box -black
Then, I send it in another color box-and it
comes out black again
So-in a diagram-if I say an “IN”
And –I discover that it comes out the white
apparature
And –I take the ones that come out the white
apperature –and I send them into a color box
With 100% confidence-meaning 100% of the
time
The electron coming out the white port and
into the color box
Will come out the white apperature again
And zero percent of the time
Where to come out the black apperature
So –this is a persistent property
You notice that it is white-and it is still white
Dealing with hardness-if I send a bunch of
electrons in a hardness box
Here is the important thing
And I am going to isolate the ones that come
out soft
You have these images in google
What Is A Tensor Lesson #1: Elementary vector
spaces
I used to have a car set . .
WOULD BRAGG –COME OVER TO RACE
OTHER KIDS
And –some were faster than others
• A MATCHBOX CAR GOIMG 10 M/S AT NORTH EAST
• A MATCHBOX CAR GOIMG 10 M/S AT SOUTH EAST
...
LETS CALL THEM –THE VECTORS
SOME SPACE—SPEDS- A COLLECT OF SPEEDS-
A TENSOR
A VECTOR SPACE-THE BOX OF CARS
WE CAN ADD BVELOCITIES OF THE CARS
WE CAN MULTIPLY THE- AND AND THE
SPEEDS-THEY HAVE THE SAME UNITS
THEY FORM A BASIS SET
NOW-LET’S SAY ROB –PETER AND ERIC ARE
GONNA RACE THEIR CARS-”TRUE STORY”
2 VECTORS CAN ADD
AND I SAID WE CAN ADD 10 M/S TO 20 M/S
TO MAKE 30 M/S GIONG NORTH
YOU CAN MULTIPLY THEM-THIS IS CALLED
SCALAR MULTIPLICATIO
WHEN YOU DO THIS-IT BECOMES AN
ELEMENT OF THE VECTOR SPACE
• LET ME RUN THIS BY YOU
THIS IS A “VECTOR IN W”
THE PROCESS IS CALLED SCALAR
MULTIPLICATION
THE OBJECTS THAT COME OUT OF THE REAL
NUMBERS ARE CALLED SCALARS
THE TENSOR-COULD BE A BOSX SHAPE-BUT
ALSO COULD BE SHAPED LIKE ABALL
• Linear Algebra Example Problems - Vector Space Basis Example #2
• https://www.youtube.com/watch?v=vejkdUigyIg
• How to Prove a Set is a Subspace of a Vector Space
• https://www.youtube.com/watch?v=Eawc_ZuQI_8
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Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin ...
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Circles you found it uncertainty principle 1 its not over first choice sub space soul searchin love stealin double dealin rocky neew neew

  1. 1. • A MATCHBOX CAR GOIMG 10 M/S AT NORTH EAST • A MATCHBOX CAR GOIMG 10 M/S AT SOUTH EAST • A MATCHBOX CAR GOIMG 15 M/S AT NORTH EAST
  2. 2. Color box The color can be inferred from the position
  3. 3. Similarily – a Hardness box
  4. 4. • Which again-has 3 apperatures-an input • And hard electrons come out this port and soft elecrtron come out this port
  5. 5. And the workings inside the box do not matter
  6. 6. You can imagine-so little worker inside the box deciding what is extracted
  7. 7. The box can be built with dwarfs, elves, silver atoms, atoms with a lot of neutrons, etc
  8. 8. But what ever they are built with-they give the same results the professor is gonna describe
  9. 9. So-a chief property of the hardness and color boxes is the ‘results are repeatable”
  10. 10. If I send in an electron and it comes out a color box -black
  11. 11. Then, I send it in another color box-and it comes out black again
  12. 12. So-in a diagram-if I say an “IN”
  13. 13. And –I discover that it comes out the white apparature
  14. 14. And –I take the ones that come out the white apperature –and I send them into a color box
  15. 15. With 100% confidence-meaning 100% of the time
  16. 16. The electron coming out the white port and into the color box
  17. 17. Will come out the white apperature again
  18. 18. And zero percent of the time
  19. 19. Where to come out the black apperature
  20. 20. So –this is a persistent property
  21. 21. You notice that it is white-and it is still white
  22. 22. Dealing with hardness-if I send a bunch of electrons in a hardness box
  23. 23. Here is the important thing
  24. 24. And I am going to isolate the ones that come out soft
  25. 25. You have these images in google
  26. 26. What Is A Tensor Lesson #1: Elementary vector spaces
  27. 27. I used to have a car set . .
  28. 28. WOULD BRAGG –COME OVER TO RACE OTHER KIDS
  29. 29. And –some were faster than others • A MATCHBOX CAR GOIMG 10 M/S AT NORTH EAST • A MATCHBOX CAR GOIMG 10 M/S AT SOUTH EAST • A MATCHBOX CAR GOIMG 15 M/S AT NORTH EAST
  30. 30. LETS CALL THEM –THE VECTORS
  31. 31. SOME SPACE—SPEDS- A COLLECT OF SPEEDS- A TENSOR
  32. 32. A VECTOR SPACE-THE BOX OF CARS
  33. 33. WE CAN ADD BVELOCITIES OF THE CARS
  34. 34. WE CAN MULTIPLY THE- AND AND THE SPEEDS-THEY HAVE THE SAME UNITS
  35. 35. THEY FORM A BASIS SET
  36. 36. NOW-LET’S SAY ROB –PETER AND ERIC ARE GONNA RACE THEIR CARS-”TRUE STORY”
  37. 37. 2 VECTORS CAN ADD
  38. 38. AND I SAID WE CAN ADD 10 M/S TO 20 M/S TO MAKE 30 M/S GIONG NORTH
  39. 39. YOU CAN MULTIPLY THEM-THIS IS CALLED SCALAR MULTIPLICATIO
  40. 40. WHEN YOU DO THIS-IT BECOMES AN ELEMENT OF THE VECTOR SPACE • LET ME RUN THIS BY YOU
  41. 41. THIS IS A “VECTOR IN W”
  42. 42. THE PROCESS IS CALLED SCALAR MULTIPLICATION
  43. 43. THE OBJECTS THAT COME OUT OF THE REAL NUMBERS ARE CALLED SCALARS
  44. 44. THE TENSOR-COULD BE A BOSX SHAPE-BUT ALSO COULD BE SHAPED LIKE ABALL
  45. 45. • Linear Algebra Example Problems - Vector Space Basis Example #2 • https://www.youtube.com/watch?v=vejkdUigyIg
  46. 46. • How to Prove a Set is a Subspace of a Vector Space • https://www.youtube.com/watch?v=Eawc_ZuQI_8

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