Abstract: A method for securely encrypting and decrypting data in a blockchain, wherein a node member of a network involved in executing a state transition function for the blockchain, uses a key derived from a sequence of digits in an irrational number. The irrational number can derive from a ratio and/or a root, and preferably a square root of a non-perfect square. A key might or might not utilize the entirety of the sequence of digits. For example, the key might utilize every other or every third digit in the sequence. A key might alternatively include some or all of the sequence, with one or more additional characters or digits added to the beginning or end of the sequence, or included elsewhere within the sequence. A key might even utilize non-consecutive members of the sequence of digits, or perhaps a reverse or partially reversed sequence.

Abstract: A system for securing a data set include a computing device that provides access to portions of a data set to different users, and can encrypt the portions by generating encryption keys for each portion using a single mathematical function. The keys are generated by applying a starting point and length to a solution of the mathematical function. The process to generate the decryption keys are provided to the authorized users so that they can view and manipulate only the data set portions they are authorized to access.

Abstract: An improved tuning method for fixed interval musical instruments is provided. This Precise Temperament tuning method provide mathematically consistent intervals between notes to prevent dissonance within chords while retaining the esthetics of pure tones associated with Western music.

Abstract: An intraocular brain interface system that detects a user's neuronal activity and uses it to identify an image associated with that neuronal activity. Once identified, the image is presented to the user via an intraocular display component such that only the user is able to see the image.

Abstract: The present invention provides methods of utilizing a cranial implant to affect a behavior or condition of a person. The method generally comprises steps of 1) obtaining signals from the cranial implant of the person, 2) processing the obtained signals to produce a visually renderable image, and 3) rendering the image on an intraocular display.

Abstract: An intraocular brain interface system that detects a user's neuronal activity and uses it to identify an image associated with that neuronal activity. Once identified, the image is presented to the user via an intraocular display component such that only the user is able to see the image.

Abstract: In a system for providing augmented reality to a person disposed in a real-world, physical environment, a camera is configured to capture multiple real-world images of a physical environment. The system includes a processor configured to use the real-world images to generate multiple images of a virtual object that correspond to the multiple real-world images. The system further includes a display configured to display to the person in real time, a succession of the generated images that correspond to then-current multiple real-world images, such that the person perceives the virtual object to be positioned within the physical environment.

Abstract: A method for decrypting encrypted data/message whereby a computing device derives the prime numbers that are used to make up a public key by searching the decimals of the inverse of the quasi-prime number that is the public key. The computing devices designates a search range around a jump point of the decimals of the inverse of the public key and searches within the search range for prime numbers by testing them against the quasi-prime. When the prime numbers are found, the computing device then uses them to derive the private key and decrypt the data.

Abstract: An implantable system includes an implanted camera that captures images. An analytics engine analyzes the images to determine whether any objects or aspects of the captured image is considered an unviewable element. Upon determining that an unviewable element is present, the analytics engine causes an occlusion device to occlude the unviewable element from the user's view. The occlusion can also affect the ability of the camera to continue to see the unviewable element.

Abstract: Apparatus and systems that improve or enhance a user's visual experience are provided. The apparatus or system includes an intraocular implant which incorporates a processor, a sensor, and an effector. The apparatus or system is responsive to commands provided by a user, for example spoken commands, gestures, and imagery. All or part of the apparatus or system can be located within the user's eye. Some embodiments include a display, which can provide an enhanced image and/or information related to the apparatus or system.

Abstract: A method for securely encrypting and decrypting data wherein a function is processed to obtain a raw key that is an irrational or transcendental number. A sending computing device applies a starting point and length to obtain a shortened key used for encryption. A receiving computing device identifies the function from a received identifier and applies the starting point and length to a mirroring raw key to derive the decryption key.

Abstract: A method for securely encrypting and decrypting data wherein a function is processed to obtain a raw key that is an irrational or transcendental number. A sending computing device applies a starting point and length to obtain a shortened key used for encryption. A receiving computing device identifies the function from a received identifier and applies the starting point and length to a mirroring raw key to derive the decryption key.

Abstract: Systems and methods for securing encrypted data wherein a sending computer encrypts data to be transmitted with an encryption key. The encryption key itself is not sent, but can be derived from a second key and third key. The second key is modified such that an incomplete portion of the second key is sent along with the message to a recipient computer. The third key is sent separately to the recipient computer. The recipient computer obtains the remainder of the second key, reconstructs the complete second key and then uses it with the third key to derive a decryption key to decrypt the message.

Abstract: A system and method for the present invention requires use of a generator, in combination with a radiation unit, to radiate electromagnetic waveform energy onto a target tissue (i.e. a cellular structure). During radiation of the target tissue in accordance with a predetermined titration-like protocol, the influence of the waveform energy on the cellular structure is periodically monitored. The protocol is stopped when the cellular structure has been transformed or morphed into a desired phenotype.

Abstract: The present invention provides a calculator comprising number keys for digits one through nine, a NULL key, a first additional number key configured to represent 3.663, and a second additional fixed value number key configured to represent 6.336. The number keys are operatively coupled to processor configure to execute mathematical functions. The calculator can be a stand-alone device, or be executed within a cell phone, tablet, or other general purpose computer.

Abstract: A control system for delivering energy waveform radiation to influence in vivo tissue is described. For the system, the energy waveform radiation is generated by a radiation unit and is directed along a pathway to the tissue and a registration unit is provided to identify a start place relative to the in vivo tissue. Also, a monitor is provided to compare the start place with a base reference to measure an error signal between the start place and base reference. With this measured error signal, a controller operates the radiation unit using input from the monitor to effectively attain and maintain a zero error signal. More specifically, the controller can provide operational parameter inputs to the radiation unit for configuring the waveform radiation including a radiation frequency, f, and a volume intensity level, v, for the radiation and an exposure time interval, ti.

Abstract: The present invention provides a calculator comprising number keys for digits one through nine, a NULL key, a first additional number key configured to represent 3.663, and a second additional fixed value number key configured to represent 6.336. The number keys are operatively coupled to processor configure to execute mathematical functions. The calculator can be a stand-alone device, or be executed within a cell phone, tablet, or other general purpose computer.

Abstract: A method for using a sonic wave to influence material in a target structure requires using a confined plasma antenna to generate an electromagnetic carrier wave, ?. The confined plasma antenna also pulses the carrier wave at a sonic frequency, f, to create a sonic wave. In detail, pulsing the carrier wave results in a sequential plurality of solitons which are separated from each other by a periodicity p, wherein ?«p. For the present invention, f is selected to resonate with a material (e.g. a cellular structure) in a target structure (e.g. a patient).

Abstract: Systems and methods involving an intraocular implant with input and/or output electronics are described. In some embodiments, the system includes an intraocular lens having at least one optic operably coupled to a haptic, one or more input electronics on the haptic and/or the optic; and one or more output electronics on the haptic and/or the optic for receiving and/or transmitting data.

Abstract: A system and method for using a sonic wave to influence material in a target structure requires using a confined plasma antenna to generate an electromagnetic carrier wave, ?. The confined plasma antenna also pulses the carrier wave at a sonic frequency, f, to create a sonic wave. In detail, pulsing the carrier wave results in a sequential plurality of solitons which are separated from each other by a periodicity ?, wherein ?<<?. For the present invention, f is selected to resonate with a material (e.g. a cellular structure) in a target structure (e.g. a patient).