Author Topic: The von Neumann Problem for Amusing Herr Hauser  (Read 2008 times)

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Holden

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The von Neumann Problem for Amusing Herr Hauser
« on: August 27, 2020, 05:33:04 pm »
A naughty bird is sitting on top of the car. It sees another car approaching it at a distance of 12 km. The speed of the two cars is 60 kmph each. The bird starts flying from the first car and moves towards the second car,reaches the second car and come back to the first car and so on. If the speed at which bird flies is 120kmph then-


The total number of times that the bird reaches the bonnet of the second car is(theoretically)?
« Last Edit: August 27, 2020, 05:42:56 pm by Holden »
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

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Holden

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #1 on: September 03, 2020, 04:07:43 pm »
What is attractive about mathematics is the fact that its almost non-human.
Perfect for a man who wants have nothing to do with men. To think of the eternal,sterile forms forever.
When the gorts around me were busing chasing the skirt and the promotion ,I gave all my time to the goddess of mathematics.
How lovely she could be..not to mention the fact that it helps me to stay away from the terrible stink of existence.

I almost become a mathematical form myself.


 
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

Holden

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Problems I think About
« Reply #2 on: September 09, 2020, 04:20:02 pm »
Consider a function f(x+y) = f(x) f(y) where x , y are positive integers, and f(1) = 2. If f (a+1) + f (a+2) + ..... + f(a+n) = 16 (2n - 1) then a is equal to.
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

Nation of One

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #3 on: September 09, 2020, 06:58:32 pm »
While functions are interesting to me as well, it is all I can do to remain focused on the task at hand.   While I am scanning "Fundamental Mathematical Preliminaries, Book One" along with related solutions to exercises, so as to upload to archives where it will be accessible to you or others, I am also continuing into remaining chapters of Modern Introductory Analysis.  The Exercises with proofs are the most challenging for me.   Stating the why.  The formality is rigorous.   I have to see context even to extend energies.

Even the reading I have been attempting has been mind melting.  Sonic warfare.  There is material my mind has reflected upon that makes me frightened to exist in these cities and suburbs we exist in.  Remaining focused on some task that I have put several years into gives my life an eerie science fiction ambience to it.  I can easily feel the role of protagonist pulsating in my blood.

Even in the midst of being filled with doubt over my tiredness, I sense it has more to do with an existential tiredness, and less to do with exercise, nutrition, stress ... I have been eating well and getting enough rest.  This being out of breath, this general exhaustion, it may have roots far deeper than day to day toothaches and simple dehydration.   Driving on the highways and through the towns takes on nightmarish proportions.  It's all just too much to absorb, too much to pretend to be acclimated to.

Holden is right.   We are John the Savage, those of us who do not flourish in cities and high-tech circuses.

That problem you are looking at, Holden, maybe you see your mind as a Devil to be given a riddle to occupy its strengths with.  I am hoping that scanning the notes will give me moments of pure gazing at the handwritten notes ... to capture a glimpse into that realm which had me so captivated that I thought it most important to document in such a manner.   

Whatever it takes to break the spell that has me so [existentially] paralyzed.
Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

Gorticide @ Nothing that is so, is so DOT edu

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Holden

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #4 on: September 10, 2020, 02:00:38 pm »
That's okay. As you have said yourself, no one can teach mathematics to the others. I agree.
I am putting these questions here only because I like them.
I have no where else to go except for this message board. No friends, but the ones I have here. Office colleagues, who would love to see me dead and the parents ,who would be glad if something were to happen to the  "poisonous creature"( my mum's words for me). Though in fairness, my father is not all that bad. He is being treated very badly by his own boss and he is almost 60.
« Last Edit: September 10, 2020, 02:04:27 pm by Holden »
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

Holden

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #5 on: September 10, 2020, 02:05:01 pm »
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

Nation of One

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #6 on: September 11, 2020, 07:23:54 am »
Is that 3 an exponent?   If so, it is better to type that as (a + b)^3 = a^3 + 3(a^2)b + 3a(b^2) + b^3

Such annoyances with keyboards and math (which created need for all kinds of math-oriented typesets) is why I am scanning my handwritten notes.  I think that the enormity of the project and the detail of the solutions (when it comes to proofs and notation) would inspire you.   Also, upon witnessing the comfort I must have found in handwriting notations (as opposed to awkward uses of keyboard or dependencies on typesets), you might get a notion of where I am coming from.

I am paying respect to detail where nothing is taken for granted, and utmost care is taken to communicate the ideas.   My notes may seem to be a relic in an age where fires destroy entire suburbs out West in North America, but it is specifically this transitory nature of our lives that I attempted such communications in the first place.

I think that you, Holden, will appreciate the final wave of digitized notebooks, as they are focused strictly on "the mathematics, the set theory notation, etc." --- I will work backwards, starting with the Analysis notebooks, and working back into other notebooks if time permits.   It's slow going.

I am no longer a writer nor a philosopher.  I am a protagonist in a science fiction story.  I have to allow this protagonist to become once again obsessed with this "project."   There is something oddly heroic in it.  I imagine the delight of the earnest students who discover its existence, the "Hentrich Solution Manuals" that is ...

My mind is clearing up quite a bit, and I once again have developed a healthy fear of alcohol-induced brain damage.  This is a spiritual battle, yes, but Hesse's Steppenwolf was no tinkerer with mathematics.  Nor was our Buddha of Berlin, Arthur Schopenhauer.  We are each our own living protoplasmic entity, with its own scars, fears, trauma ... its own memories, its own internal states, its own aches, desires, frustrations.

Do we not have to delude ourselves ever so slightly in order to take our engagement with mathematics seriously?   Can we ever say that we have been completely honest as regards our understanding?   What do tests reveal?   What does it mean to have studied a text?

How much thought do we experience?   Do we allow ourselves "time to understand" ?

How can any of us know if we have fully understood?   Is there an imperceptible level of subjectivity which is hidden from our consciousness, and is this where genuine understanding exists? 

How is communication even possible?
« Last Edit: September 11, 2020, 07:33:10 am by Sticks and Stones »
Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

Gorticide @ Nothing that is so, is so DOT edu

~ Tabak und Kaffee Süchtigen ~

Holden

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #7 on: September 22, 2020, 12:37:20 am »
Two circles, each of radius 4 cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, then the radius of the third circle, in cm, is?
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

Nation of One

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Re: The von Neumann Problem for Amusing Herr Hauser
« Reply #8 on: September 22, 2020, 06:36:02 am »
This video explains the procedure used ... "construction" ... joining the centers, isolating a right triangle using relationships of the circles:



Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

Gorticide @ Nothing that is so, is so DOT edu

~ Tabak und Kaffee Süchtigen ~