transfinite induction

seen it? The definition of "Natural Number" shows itself! This is why we have an infinite number of natural numbers. So it can be said that recursion is ubiquitous, and some people even say that recursion is the ultimate principle of nature. Recursive data is always processed by recursive Programs. Although recursion is sometimes manifested in another form, such as loop, the concept of "recursion" is more extensive than "loop. There are many recursive Programs that cannot be expressed by loops.

current cell phone. 2. Implement Sensoreventlistener interface We need to implement the Sensoreventlistener interface Onsensorchanged (sensoreventevent) method to capture the status of the cell phone sensor and get the weight of the three-direction x-axis Z axis of the cell phone. With this three-direction data, the principle of gravitational induction we've learned. public void onsensorchanged (Sensorevent e) { float x = e.values[sensorm

method is generally divided into three steps: -To identify similar phenomena or things; (ii) The grouping of similar phenomena or things as a table for comparison purposes; Third, according to the comparative results for further analysis. The competition analysis is to the research and development product competitor's similar product carries on the analysis discussion, and gives the analogy induction analysis result, uses for the understanding ex

square Description There is a grid matrix, and the matrix boundary is infinitely far away. Let us make the following assumptions:A. Each step, you can only move one block from the current square and walk to an adjacent square;B. The passing of the lattice immediately collapsed can no longer go the second time;C. Only go north, east and west in three directions;Excuse me: If we allow n steps on the grid matrix, how many different schemes are there? 2 ways to go is considered a different scheme a

source is compared with the ideal excitation source:Increasing the equivalent resistance of the series resonant circuit and reducing the parallel equivalent resistance in the parallel resonant circuit. The consequence is to reduce the quality factor of the resonant circuit. In order to make the Q value of the resonant circuit not affected by the signal source resistance excessively, the resonant impedance of the series resonant circuit is only suitable to work with the low internal resistance s

actually inductive, which is the most common in the high School series. Recall the inductive method. Inductive method is applied to solve a problem to solve his sub-problem, and his sub-problem becomes sub-problem, and we found that these problems are actually a model, that is, there is the same logical induction processing items. Of course there is an exception, that is, which of the recursive end of the processing method does not apply to our induc

The third edition of the introduction to algorithms uses the insertion sort and merge order to learn about the running time of the program. I use the post-class proof to demonstrate, how to use the mathematical induction method to prove the program run time of the merge sort. On the implementation of merge sort, I have provided an almost perfect code in the previous article, the students need to learn from it. The original question is as follow

4 to use an image sensor as a brightness detector. However, this is also not with the mechanical components, belonging to the photoelectric sensor, and may not even miniature, just general optical, photoelectric sensors.3) magneto-resistive sensorSimply speaking is the sense of geomagnetic, so or Imperial College name, induction geomagnetic is the compass principle, this geomagnetic induction electronic, d

write up probably all the way. I didn't expect it to be. IE is no problem, now do not talk about cross-browser ah Firefox I also have to be able to use AH.Firefox said with Oninput event, I tried not to work, oninput only in the input value will be excited, I this input box is with induction, that is, the kind of loss of a word to the beginning of the word induction can choose that, the choice of

understanding mistake, please leave a message to inform me, I must be grateful! ** The series of articles under the Python classification are constantly updated. If you can't wait to see how to write them, try this [Python Algorithms-C4 Induction and Recursion and ction] (Python Algorithms ) If you feel like you have been leaving a message for a long time, if you do not think it is good, simply turn off this blog website. Hey ** ** [Thanks to @ Goo

versa is " not determined ", difficult to solve Whether the problem is difficult to solve is easy or complex, the complexity of the polynomial is called " easy to solve "/" computable " (p problem ), and vice versa is " difficult to solve"/" Non-computable "(NP problem ). The proof is divided into deductive proof and inductive proof, deductive proof is based on derivation (premise and conclusion) of the propositional tree, " if so " is unidirectional, " when and only if " is bidirectional, p

1. Data Mining classification: From the Perspective of data analysis, data mining can be divided into two types: Descriptive data mining-to express the existence of meaningful properties in data in a concise manner. Predictive Data Mining-one or a group of data models obtained by applying a specific method to the provided dataset, and use this model to predict the relevant nature of new data in the future. 2. Concepts of broad sense knowledge (1) Definition: generalized knowledge refers to the g

Salary tracking for many college graduates in Guangzhou this year So far, the 2006 job fair for college graduates has been held for nearly 20. Many people are wondering how the salary of college graduates this year is? This version specially sent reporters to many job fairs for interviews. The information they brought back is: although many enterprises have pressed the price of college students, the salary offered by enterprises is not small distance from the expected salary of most graduates. H

wybe Dijkstra, the master who proposed "harmful to", wrote a "Note" for this ". How did he prove it? He said there are three ways of thinking that computers can understand. Enumeration, induction, and abstraction. However, it is important that Dijkstra further states that branch (IF) is a computer-based enumeration method and loop (for) is a method for induction. When He further explained "abstraction", he

I think there are several key points in understanding recursion and writing the correct recursive program: 1. grasp the problem as a whole The difficulty of recursion is that the human brain is not suitable for tracking the process of self-calling itself in recursion, because the human brain does not have a stack that can be remembered like a computer, However, the difference is that people will generalize, while computers only know the call-return method. Therefore, to understand and design rec

flat-top, and the secondary side induction potential waveform contains a large amount of higher harmonic; the higher harmonic current, which is dominated by three harmonic waves, can form circulation at the original side when the original side is connected to a triangle. Compared with the star formed at the original side, this helps to suppress the higher harmonic current. The current waveform will be distorted when the power electronic components an

The inverter is mainly composed of rectifying (AC to DC), filtering, rerectifying (DC to AC), braking unit, driving unit, and detection unit micro-processing unit. 1. Why can the rotation speed of the motor be freely changed? * 1: r/minMotor rotation speed unit: number of rotations per minute, which can also be expressed as RPM.Example: 2 pole motor 50Hz 3000 [r/min]4 pole motor 50Hz 1500 [r/min]　　　　 Conclusion: The motor rotation speed is proportional to the frequency. The motor mentioned in th

comprehensive description of the complete system structure. Raw materials must be taken, but not limited to raw materials. Be good at building independent business nodes into an organic business management system.In a requirement report, if a complete system cannot be formed for the business model and Function Distribution of the application system, it should be the greatest failure of the author.1.3.3.4 induction and abstractionAlthough the

Identification This method is also called mathematical induction, Which is concise and powerful. For example, we can use recursive proofs to derive all elementary number theory.The most common form of recursive evidence is to prove that proposition A (n) is true for any natural number n. We only need to prove the following two points:(1) verify that A (0) is correct. This step is called the foundation.(2) Suppose A (n) is correct (this is called

: 3. Simple Proof of the Kruskal Algorithm Sums up the vertex number n of the graph to prove that the Kruskal algorithm is applicable to any n-level graph. Induction basics: N = 1, obviously the minimum spanning tree can be found. Induction process: Assuming that the Kruskal algorithm is applicable to a n ≤ k-level graph, in k + 1-level graph G, we merge the two endpoints a and B of the shortest edge, th