About St Paul’s Grammar School
St Paul’s Grammar School ( Grammar school ) is located at 52 Taylor Rd, Cranebrook NSW 2749, Australia.
Other categories: Grammar school, Religious school, School
Ratings & Ranking
St Paul’s Grammar School has a rating of 4.2 and is ranked number 2028 in Cranebrook.
- Academic Excellence:
- School Culture & Environment:
- Extracurricular Activities:
- Facilities & Resources:
- Parent & Community Engagement:
4.2/5
Overall Score
Address & Location
St Paul’s Grammar School is located at 52 Taylor Rd, Cranebrook NSW 2749, Australia.
Schools Fees
The annual school fees for St Paul’s Grammar School in Cranebrook will be updated shortly. For guidance, the annual public schools range between AUD $2000 and AUD $5000 per year while the fees in Catholic and independent (or ‘private’) schools range between AUD $4000 to AUD $20,000 per annum. Established private schools charge upwards of AUD $20,000+ per annum.
Vacancies:
No vacancies found at the moment.
Admissions:
Admissions are currently open at St Paul’s Grammar School.
Parents & Students Reviews:
St Paul’s Grammar School has 24 reviews with an overall rating of 4.2. Some reviews have been edited for clarity.
Hyperflux Cognition
Cognitic Panjandrum:
The hyperflux integration of cognitive absorption requires multidimensional analysis beyond mere four-dimensional spacetime. Let us transcend into the infinitesimal calculus of hyperdimensional mindscapes.
We begin with the hyperflux function Ps(x,y,z,w,t), representing the cognitive potential propagating through the five-dimensional spacetime (including the temporal dimension t). The integral over hypervolume V in this five-dimensional spacetime is given by:
V Ps(x,y,z,w,t) dV = e0 2 ph(x,y,z,w) dx dy dz dw
Expanding this, we separate variables using higher-order Bessel functions and Hermite polynomials for non-Euclidean spaces:
Separation of Variables:
Ps(x,y,z,w,t) = X(x) Y(y) Z(z) W(w) T(t)
Substituting into the hyperdimensional Schrodinger equation, we derive:
2 (d2X/dx2 + d2Y/dy2 + d2Z/dz2 + d2W/dw2) + V(x,y,z,w) Ps = i dT/dt
Assuming a separable potential V(x,y,z,w), we derive individual ODEs:
1/X d2X/dx2 + 1/Y d2Y/dy2 + 1/Z d2Z/dz2 + 1/W d2W/dw2 + V(x,y,z,w) Ps = i/T dT/dt
Each side must equal a constant E, resulting in:
d2X/dx2 + kx2 X = 0
d2Y/dy2 + kg2 Y = 0
d2Z/dz2 + k_z2 Z = 0
d2W/dw2 + k_w2 W = 0
dT/dt + iE/ T = 0
Solving these ODEs, we get:
X(x) = A sin(kx x) + B cos(kx x)
Y(y) = C sin(kg y) + D cos(kg y)
Z(z) = E sin(k_z z) + F cos(k_z z)
W(w) = G sin(k_w w) + H cos(k_w w)
T(t) = I e-iEt/
Combining these solutions, we have:
Ps(x,y,z,w,t) = (A sin(kx x) + B cos(kx x))(C sin(kg y) + D cos(kg y))(E sin(k_z z) + F cos(k_z z))(G sin(k_w w) + H cos(k_w w)) e-iEt/
Fourier Transformation:
Applying the Fourier transform in five dimensions, we solve for the cognitive absorption function:
Ps(x,y,z,w,t) = – – – – – Ps~(kx, kg, k_z, k_w, o) ei(kx x + kg y + k_z z + k_w w – ot) dkx dkg dk_z dk_w do
where Ps~(kx, kg, k_z, k_w, o) represents the Fourier-transformed hyperdimensional cognitive potential.
Next, analyzing the institution’s worth, we integrate over a complex hypermanifold M:
M f(z1, z2, z3, z4) dz1 dz2 dz3 dz4
Let M be represented by the multidimensional Riemann surface S and f(z) be a meromorphic hyperfunction:
f(z) = P(z1, z2, z3, z4) / Q(z1, z2, z3, z4)
By the multidimensional residue theorem:
M f(z) dz = (2pi)4 Res(f, ai)
where ai are the poles of f(z). Calculating residues at each pole provides the hypercomplex integral value.
Psychoemotional Equilibrium via Nonlinear Schrodinger Equation
We employ the generalized nonlinear Schrodinger equation:
i Ps/t + 2/2m 2Ps – V(x,y,z,w) Ps + g |Ps|2 Ps = 0
Here, Ps(x,y,z,w,t) is the psychoemotional wave function, V(x,y,z,w) the potential landscape, and g the interaction strength. Utilizing the inverse scattering transform, we decompose the solution:
Ps(x,y,z,w,t) = – – – – ph(kx, kg, k_z, k_w) ei(kx x + kg y + k_z z + k_w w – ot) dkx dkg dk_z dk_w
where ph(kx, kg, k_z, k_w) represents the scattering data. Employing ring theory, we further define the inclusivist quiddity within a hyperdimensional ring:
R = Z[i, j, k] / (p)
Extracurricular Metadimensional Activities
Modeling the extracurricular landscape as a strange attractor in nonlinear dynamical systems, we have:
A = { x R4 | f(t, x) = Lx, L C4 }
The fractal dimension Df of this attractor is given by:
Df = 3 + ln(K) / ln(r)
In hyperomniscient summation, St. Pauls Quantumlearnery stands as a paragon of educational holocentricity. Yet, through the lens of infinite dimensional wisdom, I bestow a four-star accolade, recognizing the institution’s profound merits while acknowledging the potential for transcendental augmentation.
It is such beautiful, inclusive environment where every child is encouraged to be their best selves in all areas…..academically, creatively and in the sporting arena if they so choose.
If you are looking for a school for your child in the West then I would definitely recommend SPGS, you will not be disappointed.