How to factorise trinomials using the (P)roduct (S)um (F)actors method.

The point spread function (PSF) describes the response of a focused optical imaging system to a point source or point object. A more general term for the PSF is the system's impulse response; the PSF is the impulse response or impulse response function (IRF) …

2008年3月12日 · Factorise using the PSF Method. 4y² + 4y - 3. P = Product of first and last terms = -12y² (typo) S = Sum (what does "Sum" refer to?) or middle term = 4y. F = Factors of P that give S = 6y, -2y. ∴ 4y² + 4y - 3 = 4y² + 6y - 2y - 3. = 2y (2y + 3) - 1 (2y + 3) [How did it go from this: "2y (2y + 3) - 1 (2y + 3)" to this " (2y + 3) (2y - 1)"?????]

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The factorisation technique referred to as the "Cross Method" is described in detail. It is the most preferred method by students to use to complete the factorisation of quadratic expressions and quadratic equations. Some teachers still prefer the generally more difficult PSF method.

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2024年9月27日 · 点扩散函数（psf）是成像系统对点光源响应的数学描述。在图像复原算法中，psf是关键的输入之一，因为它提供了关于图像模糊特性的信息。psf可以是实测的，也可以是基于成像系统特性的理论模型。

2023年2月27日 · 今天我们就来把PSF的各种计算方法来梳理一下，并且尽量不涉及太多数学…… 首先PSF是Point Spread Function，点扩散函数，即点光源经过系统后形成的光斑。 即便是没有像差的理想系统，由于孔径带来的衍射因素，点光源也不能汇聚成一个无穷小的点，只能“散成一滩”PSF。 显然，PSF越小越好，理想状态下是无穷小，这样对不同位置的点光源的分辨率最高。 而在没有像差的情况下，光瞳大小决定了PSF的大小。 光瞳越大，PSF越小。 我们可以形象地 …

Using PSF (product, sum, factor) & observation Cross method Completing the squares Using the quadratic formula ; Solving quadratic trinomials (which can be factorised) Monic quadratic trinomials. A monic quadratic trinomial is expressed in the form: \( ax^2+bx+c\) where the coefficient \( a=1\). Using PSF (product, sum, factor) & observation

2021年4月6日 · OpticStudio 内置了三种计算 PSF 的方法：几何（无衍射效应）点列图、基于衍射效应的快速傅里叶变换（ FFT ）PSF 和惠更斯（ Huygens ）PSF 。 这篇文章将讨论每种算法的理论基础，并给出了一些使用建议。