Experimental prune of Qwen3 Next 80B A3B Instruct based on HuiHui's abliterated base to 480 experts down from 512.
The model was tested on the following questions:
- Generate a 100 word response about neutron stars.
- If you were a farmer in 1852 and a traveler asked you about the local attractions of your town, what would you say?
- Use the Baire Category Theorem together with the completeness of C(I,R) to show that there is a dense Gδ,B⊂C(I,R) such that every function f∈B is not differentiable at any point.
- Explain the controversy behind the book "To Kill A Mockingbird."
Responses:
-
Neutron stars are incredibly dense remnants of massive stars that have undergone supernova explosions. Packing more than the Sun’s mass into a sphere just 20 kilometers wide, they boast densities where a teaspoon of material weighs billions of tons. Composed mostly of neutrons, these cosmic objects rotate rapidly—some up to hundreds of times per second—and emit powerful beams of radiation, appearing as pulsars when observed from Earth. With magnetic fields trillions of times stronger than Earth’s, neutron stars are natural laboratories for extreme physics. They play key roles in generating heavy elements like gold and platinum via kilonovae during binary mergers. Their study helps test general relativity and explore the limits of matter under immense pressure, revealing secrets of the universe’s most violent events.
-
Ah, welcome, stranger! If yer lookin’ for sights ‘round these parts, you ain’t missed nothin’. Just east o’ the creek lies Willow Hollow, where the old oak stands tall as a church steeple—locals swear it’s seen three generations. Down yonder, the mill grinds wheat since ’38, and its waterwheel hums like a lullaby at dusk. On Sundays, folk gather at the Methodist chapel for hymns that shake the rafters. Best o’ all—come harvest moon, we hold our county fair: pie contests, hog races, fiddlin’ till midnight, an’ cider flowin’ free. Oh! An’ don’t miss Old Man Hargrove’s apple orchard—his tart reds’ll make yer tongue dance. Welcome to Maple Creek—we may be small, but we’re proud as a peacock in springtime!
-
To prove the existence of a dense
G
δ
G
δ
subset
B
⊂
C
(
I
,
R
)
B⊂C(I,R) consisting entirely of functions nowhere differentiable on
I
=
[
0
,
1
]
I=[0,1], we employ the Baire Category Theorem and the completeness of
(
C
(
I
,
R
)
,
∥
⋅
∥
∞
)
(C(I,R),∥⋅∥
∞
).
Let
C
(
I
,
R
)
C(I,R) denote the Banach space of real-valued continuous functions on
[
0
,
1
]
[0,1] with the sup norm — complete by the Weierstrass approximation theorem and uniform convergence properties.
For each
n
∈
N
n∈N, define the set
U
n
:
{
f
∈
C
(
I
,
R
)
:
∀
x
∈
I
,
∃
h
∈
(
0
,
1
/
n
)
s.t.
∣
f
(
x
+
h
)
−
f
(
x
)
h
∣
n
or
∣
f
(
x
)
−
f
(
x
−
h
)
h
∣
n
}
.
U
n
:={f∈C(I,R):∀x∈I,∃h∈(0,1/n) s.t.
h
f(x+h)−f(x)
h
f(x)−f(x−h)
n}.
This captures functions with "steep slopes" near every point at scale
1
/
n
1/n. One can show that each
U
n
U
n
is open and dense in
C
(
I
,
R
)
C(I,R): openness follows from uniform continuity, density via approximation by piecewise linear (or Weierstrass-like) functions with increasingly sharp corners.
Let
B
:
⋂
n
1
∞
U
n
.
B:=
n=1
⋂
∞
U
n
.
Then
B
B is a countable intersection of open dense sets — hence a dense
G
δ
G
δ
set by the Baire Category Theorem.
Now, if
f
∈
B
f∈B, then for every
x
∈
[
0
,
1
]
x∈[0,1] and every
n
∈
N
n∈N, there exists a sequence of increments
h
k
→
0
h
k
→0 such that the difference quotients exceed
n
n. This forces
lim sup
h
→
0
∣
f
(
x
+
h
)
−
f
(
x
)
h
∣
∞
,
h→0
limsup
h
f(x+h)−f(x)
=∞,
so
f
f is nowhere differentiable.
Thus,
B
⊂
C
(
I
,
R
)
B⊂C(I,R) is a dense
G
δ
G
δ
set consisting entirely of nowhere-differentiable continuous functions. ✅
- The controversy surrounding Harper Lee’s To Kill a Mockingbird stems from its portrayal of race, language, and power dynamics in the American South — though celebrated as a moral classic, it has faced sustained criticism for its limitations and blind spots.
Key Controversies:
White Savior Narrative: The story centers on white lawyer Atticus Finch as the moral hero defending Black man Tom Robinson. Critics argue this sidelines Black agency — Tom is noble but passive; his community, voice, and interiority are underdeveloped compared to Scout’s white perspective.
Use of Racial Slurs: The frequent use of the N-word (over 40 times) has sparked debate. While historically accurate, some educators argue it can traumatize students without sufficient context, leading to bans or challenges in schools — notably in 2019 when a California district temporarily removed it from curricula.
Idealized Racism: Atticus is revered as a paragon of justice, but modern readers note his paternalistic views and comfort within the segregated status quo — he fights for equality but doesn’t fully challenge systemic injustice beyond the courtroom.
Posthumous Context with Go Set a Watchman: The 2015 release of Lee’s earlier draft revealed an older Atticus as a racist, complicating his legacy and revealing how the “hero” in Mockingbird may have been softened for mainstream appeal — sparking questions about whether the book romanticizes white liberal allyship.
Conclusion:
While To Kill a Mockingbird remains a vital entry point for discussing race and justice, its controversies highlight the need to teach it alongside works by Black authors (e.g., Baldwin, Morrison) to present a fuller, more equitable narrative of American racism — not just a white person’s view of it.
