DETAILED ACTION 1. Claims 1-8 are pending in the application. Notice of Pre-AIA or AIA Status 2. The present application, filed on or after March 16, 2013, is being examined under the first inventor to file provisions of the AIA. Claim Rejections - 35 USC § 101 3. 35 U.S.C. 101 reads as follows: Whoever invents or discovers any new and useful process, machine, manufacture, or composition of matter, or any new and useful improvement thereof, may obtain a patent therefor, subject to the conditions and requirements of this title. 4. Claims 1-8 are rejected under 35 U.S.C. 101 as being directed to non-statutory subject matter. Claim 1 is rejected under 35 U.S.C. 101 because the claimed invention is directed to an abstract idea without significantly more. As analyzed under the current 2019 Revised Patent Subject Matter Eligibility Guidance; first, the claim is directed to a pro per statutory category . Second, under step 2A prong 1, the claim is directed to abstract ideas; specifically mathematical concepts such as mathematical calculations and /or mental processes or performed by pen and paper . They are highlighted below (underlined, italicized): 1. A method for detecting a natural frequency of a blade by a single blade tip timing sensor, comprising the following steps: a first step (S1): acquiring actual arrival time of a rotating blade by using a single blade tip timing sensor, and converting a difference between theoretical arrival time and the actual arrival time into displacement data of a blade tip according to a rotational speed and a blade length of the rotating blade; a second step (S2): intercepting two segments of displacement data vectors of two blades at the same rotational speed from the displacement data ; a third step (S3): performing dot product on the two segments of displacement data vectors to obtain a product data vector, and performing low-frequency filtering on the product data vector ; a fourth step (S4): performing Hilbert transform on the filtered product vector to obtain an instantaneous phase, performing discrete Fourier transform on the instantaneous phase, and extracting an absolute value of a natural frequency difference between blades from amplitude frequency data, wherein a frequency corresponding a component with a highest amplitude in the amplitude frequency data is considered to be the absolute value of the natural frequency difference ; and a fifth step (S5): performing permutation and combination on blades on a bladed disk, repeating the second step to the fourth step to obtain absolute values of the natural frequency differences between all the blades, calculating a sum of the absolute values of the natural frequency differences between each blade and other blades, and considering that the natural frequency of the blade is abnormal when the sum of the absolute values of the natural frequency differences is greater than a predetermined threshold. 5. As currently recited, under the broadest reasonable interpretation, these highlighted limitations can be interpreted as mathematical concepts and /or mental processes or performed by pen and paper . Next, under step 2A prong 2, are there additional elements or combination of elements that apply or integrate the judicial exception into a practical application? The additional limitation of a blade by a single blade tip timing sensor and blade length of rotating blade are recited at a high-level of generality (i.e., generic machine) such that it amounts no more than mere instructions to apply the exception using a generic computer component. Accordingly, these additional element s do not integrate the abstract idea into a practical application because they do not impose any meaningful limits on practicing the abstract idea . Lastly, under step 2B are there limitations indicative of an inventive concept (i.e. significantly more)? No, the additional limitations do not include additional elements that are sufficient to amount to significantly more than the judicial exception. As discussed above with respect to integration of the abstract idea into a practical application, the additional element s are no more than mere instructions to apply the exception using a generic computer component. Mere instructions to apply an exception using a generic computer component cannot provide an inventive concept . See MPEP 2106.05(f) . Furthermore, it can be considered no more than generally linking the use of a judicial exception to a particular technological environment or field of use , engines (see MPEP § 2106.05(h)). No additional limitations, in the claim integrate the abstract idea into a practical application, nor does it provide significantly more than the abstract idea, and thus the claim is subject- matter ineligible . The claim is not patent eligible. 6. Dependent claims 2- 8 are rejected under 35 U.S.C. 101 as non- statutory for at least the reason stated above, as they do not add any feature or subject matter that would solve the non-statutory deficiencies of the independent claims from which they depend. The claims depend from claim 1, but fail to include any additional elements sufficient to amount to significantly more than the judicial exception. The claims recite further limitations that abstract mathematical concepts and/or mental steps without reciting any additional limitations that make the claim any less abstract or that impose meaningful limits on practicing the abstract idea. Accordingly, the claims are not patent-eligible under 35 U.S.C. 101. 7. For example: Claim 2 recites the abstract idea o f: and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception. 8. Claim 3 recites wherein the rotating process of the blade is an acceleration or deceleration process of a predetermined acceleration; and in the rotating process, gas nozzles distributed uniformly in a circumferential direction are used to simulate gas excitation , and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception. 9. Claim 4 recites: and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception . 10. Claim 5 recites: and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception . 11. Claim 6 recites: and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception . 12. Claim 7 recites: N-1, and X(k) represents k- th data after discrete Fourier transform, and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception . 13. Claim 8 recites: and thus is similarly rejected as claim 1 above for failing to recite additional limitations that integrate the abstract idea into a practical application and impose meaningful limits on practicing the abstract idea and for failing to include additional elements that are sufficient to amount to significantly more than the judicial exception . Allowable Subject Matter 14. Claims 1-8 would be allowable if rewritten or amended to overcome the rejection(s) under 35 U.S.C. 112(b) or 35 U.S.C. 101, set forth in this Office action. The following is a statement of reasons for the indication of allowable subject matter: The claims recite at least a second step (S2): intercepting two segments of displacement data vectors of two blades at the same rotational speed from the displacement data; a third step (S3): performing dot product on the two segments of displacement data vectors to obtain a product data vector, and performing low-frequency filtering on the product data vector; a fourth step (S4): performing Hilbert transform on the filtered product vector to obtain an instantaneous phase, performing discrete Fourier transform on the instantaneous phase, and extracting an absolute value of a natural frequency difference between blades from amplitude frequency data, wherein a frequency corresponding a component with a highest amplitude in the amplitude frequency data is considered to be the absolute value of the natural frequency difference; and a fifth step (S5): performing permutation and combination on blades on a bladed disk, repeating the second step to the fourth step to obtain absolute values of the natural frequency differences between all the blades, calculating a sum of the absolute values of the natural frequency differences between each blade and other blades, and considering that the natural frequency of the blade is abnormal when the sum of the absolute values of the natural frequency differences is greater than a predetermined threshold. The closest prior art of record US Pub. 2021 / 0334630 teaches techniques to infer a sequence of actions to perform using one or more neural networks trained, at least in part, by optimizing a probability distribution function using a cost function, wherein the probability distribution represents different sequences of actions that can be performed. In at least one embodiment, a model predictive control problem is formulated as a Bayesian inference task to infer a set of solutions. The prior art of record does not teach or suggest at least a second step (S2): intercepting two segments of displacement data vectors of two blades at the same rotational speed from the displacement data; a third step (S3): performing dot product on the two segments of displacement data vectors to obtain a product data vector, and performing low-frequency filtering on the product data vector; a fourth step (S4): performing Hilbert transform on the filtered product vector to obtain an instantaneous phase, performing discrete Fourier transform on the instantaneous phase, and extracting an absolute value of a natural frequency difference between blades from amplitude frequency data, wherein a frequency corresponding a component with a highest amplitude in the amplitude frequency data is considered to be the absolute value of the natural frequency difference; and a fifth step (S5): performing permutation and combination on blades on a bladed disk, repeating the second step to the fourth step to obtain absolute values of the natural frequency differences between all the blades, calculating a sum of the absolute values of the natural frequency differences between each blade and other blades, and considering that the natural frequency of the blade is abnormal when the sum of the absolute values of the natural frequency differences is greater than a predetermined threshold. Conclusion US Pub. 2020 / 0069134 – related to a robotic surface cleaning device, including a casing, a chassis, a set of wheels coupled to the chassis to drive the robotic surface cleaning device, a control system to instruct movement of the set of wheels, a battery to provide power to the robotic surface cleaning device, one or more sensors, a processor, rotating assembly, including a plate supported by a base of the casing, rotating mechanism to rotate the plate; and one or more cleaning apparatuses mounted to a first side of the plate. US Pub. 2018 / 0164150 – related to method for determining the vibration of turbomachine rotor blades, including steps of measuring, via one or more sensors, the variation in the minimum distance between each sensor and the top of each blade along a radial axis of the rotor, between successive rotations of each blade in front of each sensor, a minimum distance value being obtained on each passage of each blade in front of each sensor, in order to deduce therefrom a variation in the lengths of the blades along the radial axis; and, using directly, as such, the variation in the length of the blades along the radial axis in a model of the deformation of the blades, in order to deduce therefrom characteristics of one or more vibrational modes of the rotating blades. US Pat. 5 , 471 , 880 – related to method and apparatus for detecting and identifying one or more resonantly vibrating blades of a turbine through the use of acoustic sensors imbedded in the stationary casing of the turbine is disclosed. The acoustic sensor signals are processed to separate the characteristic Doppler waveform from the accompanying random noise and periodic noise. Improved signal processing techniques which involve the evaluation of both an information-bearing resonant signal and its Hilbert transform via direct synthesis are disclosed. US Pat. 11,898,453 – related to a method for extracting a natural frequency difference between blades by a single blade tip timing sensor or uniformly distributed blade tip timing sensors. The method includes the following steps: acquiring actual arrival time of a rotating blade by using a single blade tip timing sensor or uniformly distributed blade tip timing sensors, and converting a difference between theoretical arrival time and the actual arrival time into displacement data of a blade tip according to a rotational speed and a blade length of the rotating blade; selecting displacement data of blade tips of two rotating blades with the same blade length at the same rotational speed; intercepting the displacement data, performing discrete Fourier transform respectively, and making a sampling frequency approximate to an average rotational speed to obtain spectrum data. Any inquiry concerning this communication or earlier communications from the examiner should be directed to FILLIN "Examiner name" \* MERGEFORMAT MICHAEL D YAARY whose telephone number is FILLIN "Phone number" \* MERGEFORMAT (571)270-1249 . 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Visit https://www.uspto.gov/patents/apply/patent-center for more information about Patent Center and https://www.uspto.gov/patents/docx for information about filing in DOCX format. For additional questions, contact the Electronic Business Center (EBC) at 866-217-9197 (toll-free). If you would like assistance from a USPTO Customer Service Representative, call 800-786-9199 (IN USA OR CANADA) or 571-272-1000. /MICHAEL D. YAARY/ Primary Examiner, Art Unit 2151