Aaqgs-optimization through general reduction of strength

Strength reduction - Wikipedia https://en.wikipedia.org/wiki/Strength_reduction

One can view aaqgs-strength-reduction as a specialization of aaqgs-generality or generalization from reduction in strength in appropriate cases. The idea is this

1. We must compute f(f-region), We also have a cheaper equivalent function g that returns the same answer but on a smaller contained region g-region. Then is the discriminant function d which can be applied to every point in f-region is sufficiently cheap, it pays to apply it first and see if f is really needed or g computation will suffice. Note that we talk of arbitrary f,g,d; hence this is a very general optimization
2. Consider my proof done at Bell labs 30 years ago. Let us consider sorting by any method. It computes compare repeatedly. Suppose the records being sorted already had, at creation time, an approximation. The approximation has the property that it keeps the record order, except that it evaluates equal for many records. Now compare is evaluated on approximation first. Only if equal is the real compare called. Empirically, sorts (all of them) were sped up by 3-5.
3. Consider another proof. Part of compiling any language is lexing input to tokens and interning them in the symbol table. Some words (like reserved) already have approximations. Every token has approximation computed while scanning. The table lookup is twice as fast. Lexing is major part of what compiler does. Empirically, 30 percent faster compiles were seen. The benefits now will be larger with things with any length.
4. Consider health care. Let us consider a hierarchy of spouse, pharmacist, nurse, general doctor, specialist. Each is a reduction in strength and assumed ethical, that is not asserting knowledge missing. Each then looks at a case and either fixes it, or passes on to next in line. This roughly what happens any way and can be systematized for low cost very powerful medicine. Going directly to a physician then a specialist buys you NOTHING. The Aaqgs-improvement essential to above is improve on expected problems. a) retelling your story repeatedly is stupid. Further using diagnoses done earlier for brevity is not only stupid but destructive to the quality of new care! A multimedia record is build able and givable. b) The right specialist may be away. You can achieve aaqgs-safe intercontinental consultation since internet goes every where and has a milli-second delay! The idea then is make a compelling low cost medicine with even better quality and acquire the losers.

MATH versus Computer Science Approximations

Other Applications

Links next apply to all kind of things.

Using Images in Email #Infographic - GetResponse Blog

This infographic shows how images in emails improve the performance of your newsletter campaigns. Essentially an image if reduction in strength of the whole topic.

https://blog.getresponse.com/using-images-email-infographic.html?AID=11803587&PID=8119996&a=-CJ&c=11803587

proposed Revisions to the Strength-Reduction Factor for Axially Loaded Members - reliability and axial loading can be improved with clever reduction in strength.

https://ceae.ku.edu/sites/ceae.ku.edu/files/images/galleries/Lequesne/Proposed%20revisions%20to%20the%20strength-reduction%20factor%20for%20axially%20loaded%20members.pdf

Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage - soil mechanics.

http://www.sciencedirect.com/science/article/pii/S0266352X08000414

Photoshop Basics

 

Sharpening and Noise Reduction

Application to images.

http://www.gcflearnfree.org/photoshopbasics/sharpening-and-noise-reduction/4/