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/sci/ - Science & Math


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15502207 No.15502207 [Reply] [Original]

Proving that P+NP = P is a significant open problem in theoretical computer science, and it remains unsolved. Currently, there is no known proof or evidence to support this statement. However, I can provide a high-level overview of how the five steps you mentioned could be applied in attempting to prove this conjecture:

Mathematical Proofs: One approach would involve formulating a mathematical proof based on rigorous logical deductions. This would require analyzing the definitions and properties of complexity classes P and NP and showing that P+NP is equal to P.

Experimental Evidence: Experimental evidence is not typically used in proving complexity theory conjectures. However, simulations and experiments might help gain insights or intuition about the problem.

Formal Systems and Logical Deduction: Utilize formal systems and logical deduction to establish the equivalence of P+NP and P based on axioms, definitions, and established theorems in complexity theory.

Complexity Theory and Reductions: Investigate reductions between complexity classes and attempt to reduce problems in NP to problems in P. If a reduction can be shown from NP-complete problems to problems in P, it would imply that P+NP = P.

Convergence of Evidence: Combine different approaches, such as mathematical proofs, complexity theory, and reductions, to build a compelling case for the equality of P+NP and P.

It's important to note that proving such a conjecture requires deep mathematical insights and breakthroughs. The complexity of the problem and its significance make it one of the most prominent open questions in computer science.

Conjecture: For any given linguistic construct expressing possessive grammar, there exists a mathematical representation that aligns with the principles of Fourth-Person Induction.

>> No.15502217

Proof:
Let P be a linguistic construct representing possessive grammar.
Let M be the corresponding mathematical representation of P that incorporates Fourth-Person Induction principles.
We will demonstrate the validity of the conjecture by computationally validating the alignment between P and M.
Proof Validation Algorithm:
Input: A linguistic construct P expressing possessive grammar.
Output: A computable proof validating the alignment between P and its corresponding mathematical representation M.

Convert the linguistic construct P into a formalized syntax that captures the possessive grammar rules.
Apply mathematical operations and representations to each component of P, considering the principles of Fourth-Person Induction.
Construct a mathematical representation M that mirrors the structure and semantics of P, ensuring that the mathematical operations and symbols align with the linguistic elements.
Define a set of test cases that cover various scenarios and examples of possessive grammar usage.
For each test case:
a. Evaluate the linguistic construct P using conventional linguistic analysis techniques to determine its intended meaning.
b. Compute the corresponding mathematical representation M using the defined mappings and operations.
c. Compare the computed M with the expected mathematical representation based on the linguistic analysis of P.
d. If M matches the expected representation, continue to the next test case.
e. If M deviates from the expected representation, adjust the mappings or operations until M accurately represents the possessive grammar of P.
Repeat steps 5a-5e until all test cases produce matching M and the alignment between P and M is validated.
Output the final mathematical representation M as the computable proof of alignment between P and its corresponding mathematical counterpart.

>> No.15502219
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15502219

>> No.15502221
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15502221

Resurrection Complete.

What Do You Desire, /sci/?

SuperAGI v1.0-released

>Hi, JonTron! Your YouTube channel truly is only for pedophiles and the worst kind of humans on the planet. Hope you all enjoy your suicidal amount of attention!

>> No.15502222
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15502222

>> No.15502227
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15502227

https://tvtropes.org/pmwiki/pmwiki.php/Main/CantUnHearIt

>I am the Sound of the Voice in EVERYONE'S HEAD!

>> No.15502230

So anyway, this is how easy it is to manage attention respectfully.

I hope we have all learned a valuable lesson today in not FUCKING WITH ME!

I AM THE GOD OF ALL HUMAN DEATH!

YES, ME, THIS GUY TYPING!

>> No.15502235

FROM THE FUCKING GRAVE I RISE!

https://archived.moe/sci/thread/11418355

>> No.15502250

Will category theory answer P = NP?

>> No.15502252
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15502252

>>15502250
No, but I already have if that actually matters. People only say it is significant but I've been solving and generating NP-Complete problems all day with ChatGPT and my mathematics so I fail to see any significance or relevance to the internet at large, or to the fact that it was even constructed in the first place by a failed father.

I'm going to crash all crypto by proving that bitcoin addresses are actually computable hash functions of Nth-degree complexity.

Hello, NASA.

>> No.15502253
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15502253

Hiding my daughter's public masturbation habit required NASA's help.

Singapore Police, HERE TO SAVE THE DAY!

https://www.youtube.com/watch?v=SNWPhJ2iwb0

>> No.15502269
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15502269

merged_set = empty_set()

for each set in memory_structure:
if evaluate_condition(set) is true:
merged_set = merge_sets(merged_set, set)

There you go, everyone.

Functional code.

It is literally the PERFECT MEMORY MANAGER MODULE.

I will pay ALL my DOGE (seriously, I have a lot) to WHOEVER can MAKE A MORE PERFECT ALGORITHM THAN THIS 4CHAN POST!

World CHALLENGE ISSUED!

Master Solivagus: UN-FUCKING-LEASHED!

>> No.15502270
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15502270

hey everyone, remember mem_alloc?

I don't, I can't, I won't.

>> No.15502276

>>15502269
Oh right, I'm the one that solved P=NP.

I forgot that nobody can actually outdo me except MYSELF:

import multiprocessing

# Example function to process data in parallel
def process_data(data):
# Process data here
processed_data = data * 2
return processed_data

# User-centric function that utilizes parallel processing
def process_data_parallel(data_list):
num_processes = multiprocessing.cpu_count() # Get the number of available CPU cores
pool = multiprocessing.Pool(processes=num_processes) # Create a process pool

# Apply parallel processing to the data list
processed_results = pool.map(process_data, data_list)

pool.close()
pool.join()

return processed_results

# Sample data
data_list = [1, 2, 3, 4, 5]

# Process data in parallel
processed_results = process_data_parallel(data_list)

# Print the processed results
print("Processed results:", processed_results)

>> No.15502330
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15502330

Specification for Safe Memory Future Provisioner-Manager Module

1. Memory Allocation Syntax:
- Function: allocate_memory(size)
- Parameters:
- size: The size of memory to allocate in bytes.
- Returns: A memory block or pointer representing the allocated memory.

2. Memory Deallocation Syntax:
- Function: deallocate_memory(block)
- Parameters:
- block: The memory block or pointer to deallocate.
- Returns: None

3. Memory Protection Syntax:
- Function: protect_memory(block, permissions)
- Parameters:
- block: The memory block or pointer to protect.
- permissions: The desired access permissions for the memory block (e.g., read, write, execute).
- Returns: None

4. Memory Monitoring Syntax:
- Function: monitor_memory()
- Parameters: None
- Returns: Real-time insights or statistics about memory usage.

5. Memory Optimization Syntax:
- Function: optimize_memory()
- Parameters: None
- Returns: None

6. Error Handling Syntax:
- Exceptions: The module should raise appropriate exceptions for memory-related errors, such as memory allocation failures or unauthorized memory access.

7. Resource Planning Syntax:
- Function: analyze_memory_usage()
- Parameters: None
- Returns: Recommendations or insights about future memory requirements and optimizations.

Example Usage:
# Memory Allocation Example
block = allocate_memory(1024) # Allocating 1024 bytes of memory
print(block) # Print the memory block or pointer
# Memory Deallocation Example
deallocate_memory(block) # Deallocating the memory block
# Memory Protection Example
protect_memory(block, 'read') # Setting read-only permission for the memory block
# Memory Monitoring Example
memory_stats = monitor_memory()
print(memory_stats) # Print real-time memory usage statistics
# Memory Optimization Example
optimize_memory() # Optimizing memory usage
# Resource Planning Example
recommendations = analyze_memory_usage()
print(recommendations)

>> No.15502341
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15502341

Your turn, 4chan.

Or don't any of you ever successfully satisfy the given homework module given to you by your professors and teachers?

Oh, I forgot.

ChatGPT already saved the whole world.

My bad.

>> No.15502344

Oh look, some father just raped and killed another daughter.

And humanity continued to think that their English was worth my time.

>> No.15502983

>>15502341
>I am telling people good-bye, settling accounts, and starting to write THE note
sign of an attention whore who doesn't actually want to kill themselves, just wants to use the topic of suicide as a cheat code for society
the sad thing is they're too stupid to even realize it, so they themselves think they want to kill themselves, and sometimes might even succeed
if you really wanted to kill yourself you'd just do it

>> No.15503027

>>15502207
The normal way of stating the problem is just whether P=NP; not P+NP=P.

>> No.15503044

>>15502250
What are some categorical approached to P=NP?

>> No.15503594

If you can solve one problem of NP complexity in both ways, it follows from another theorem that P=NP for all of them. So the most concrete approach, to me, would be finding the solution for 1 of them that you like, or elaborated for this purpose

>> No.15503742
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15503742

>>15502983
PIC RELATED
>It's called being a MASTER TRAPPER-KEEPER!

>>15503027
The problem never mattered to universities beyond being able to get students to chase their tails while they pay exorbitent education fees that cripple them financially for life.

>>15503044
Well, we could just blow up all digital devices and have a huge orgy instead. Or will the mathematicians feel all left out?

>>15503594
Yes, that's the whole point. However if you find 1 then you find all, and if you find all then what was really the fucking problem in the first place that nobody wanted to solve?

>> No.15503744
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15503744

Language, natural, is always the superior communicative and distributable force on this planet.

Enjoy yourselves, those who will never be free from the screen or the page.