This work has been motivated by recent papers that quantify the density of values of generic quadratic forms and other polynomials at integer points, in particular ones that use Rogers' second moment estimates. In this paper we establish such results in a very general framework. Namely, given any subhomogeneous function (a notion to be defined) $f: mathbb{R}^n o mathbb{R}$, we derive a necessary and sufficient condition on the approximating function $psi$ for guaranteeing that a generic element $fcirc g$ in the $G$-orbit of $f$ is $psi$-approximable; that is, $|fcirc g(mathbf{v})| le psi(|mathbf{v}|)$ for infinitely many $mathbf{v} in mathbb{Z}^n$. We also deduce a sufficient condition in the case of uniform approximation. Here, $G$ can be any closed subgroup of $operatorname{ASL}_n(mathbb{R})$ satisfying certain axioms that allow for the use of Rogers-type estimates.

We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences.

This work presents a novel data-driven framework for constructing eigenfunctions of the Koopman operator geared toward prediction and control. The method leverages the richness of the spectrum of the Koopman operator away from attractors to construct a rich set of eigenfunctions such that the state (or any other observable quantity of interest) is in the span of these eigenfunctions and hence predictable in a linear fashion. The eigenfunction construction is optimization-based with no dictionary selection required. Once a predictor for the uncontrolled part of the system is obtained in this way, the incorporation of control is done through a multi-step prediction error minimization, carried out by a simple linear least-squares regression. The predictor so obtained is in the form of a linear controlled dynamical system and can be readily applied within the Koopman model predictive control framework of [12] to control nonlinear dynamical systems using linear model predictive control tools. The method is entirely data-driven and based purely on convex optimization, with no reliance on neural networks or other non-convex machine learning tools. The novel eigenfunction construction method is also analyzed theoretically, proving rigorously that the family of eigenfunctions obtained is rich enough to span the space of all continuous functions. In addition, the method is extended to construct generalized eigenfunctions that also give rise Koopman invariant subspaces and hence can be used for linear prediction. Detailed numerical examples with code available online demonstrate the approach, both for prediction and feedback control.

We study a class of fourth order nonlinear parabolic equations which include the thin-film equation and the quantum drift-diffusion model as special cases. We investigate these equations by first developing functional inequalities of the type $ int_Omega u^{2gamma-alpha-eta}Delta u^alphaDelta u^eta dx geq cint_Omega|Delta u^gamma |^2dx $, which seem to be of interest on their own right.

The paper proves the Riemann Hypothesis.

In this paper we study removable singularities for regular $(1,1/2)$-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric properties and the connection with the $L^2$ boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation.

A natural problem in the context of the coupon collector's problem is the behavior of the maximum of independent geometrically distributed random variables (with distinct parameters). This question has been addressed by Brennan et al. (British J. of Math. & CS. 8 (2015), 330-336). Here we provide explicit asymptotic expressions for the moments of that maximum, as well as of the maximum of exponential random variables with corresponding parameters. We also deal with the probability of each of the variables being the maximal one.

The calculations lead to expressions involving Hurwitz's zeta function at certain special points. We find here explicitly the values of the function at these points. Also, the distribution function of the maximum we deal with is closely related to the generating function of the partition function. Thus, our results (and proofs) rely on classical results pertaining to the partition function.

In the spirit of very recent articles by J. Bonet, W. Lusky and J. Taskinen we are studying the so-called solid hulls and cores of spaces of weighted entire functions when the weights are given in terms of associated weight functions coming from weight sequences. These sequences are required to satisfy certain (standard) growth and regularity properties which are frequently arising and used in the theory of ultradifferentiable and ultraholomorphic function classes (where also the associated weight function plays a prominent role). Thanks to this additional information we are able to see which growth behavior the so-called "Lusky-numbers", arising in the representations of the solid hulls and cores, have to satisfy resp. if such numbers can exist.

We establish the functional convex order results for two scaled McKean-Vlasov processes $X=(X_{t})_{tin[0, T]}$ and $Y=(Y_{t})_{tin[0, T]}$ defined by

[egin{cases} dX_{t}=(alpha X_{t}+eta)dt+sigma(t, X_{t}, mu_{t})dB_{t}, quad X_{0}in L^{p}(mathbb{P}),\ dY_{t}=(alpha Y_{t},+eta)dt+ heta(t, Y_{t}, u_{t})dB_{t}, quad Y_{0}in L^{p}(mathbb{P}). end{cases}] If we make the convexity and monotony assumption (only) on $sigma$ and if $sigmaleq heta$ with respect to the partial matrix order, the convex order for the initial random variable $X_0 leq Y_0$ can be propagated to the whole path of process $X$ and $Y$. That is, if we consider a convex functional $F$ with polynomial growth defined on the path space, we have $mathbb{E}F(X)leqmathbb{E}F(Y)$; for a convex functional $G$ defined on the product space involving the path space and its marginal distribution space, we have $mathbb{E},Gig(X, (mu_t)_{tin[0, T]}ig)leq mathbb{E},Gig(Y, ( u_t)_{tin[0, T]}ig)$ under appropriate conditions. The symmetric setting is also valid, that is, if $ heta leq sigma$ and $Y_0 leq X_0$ with respect to the convex order, then $mathbb{E},F(Y) leq mathbb{E},F(X)$ and $mathbb{E},Gig(Y, ( u_t)_{tin[0, T]}ig)leq mathbb{E},G(X, (mu_t)_{tin[0, T]})$. The proof is based on several forward and backward dynamic programming and the convergence of the Euler scheme of the McKean-Vlasov equation.

We study how to infer new choices from previous choices in a conservative manner. To make such inferences, we use the theory of choice functions: a unifying mathematical framework for conservative decision making that allows one to impose axioms directly on the represented decisions. We here adopt the coherence axioms of De Bock and De Cooman (2019). We show how to naturally extend any given choice assessment to such a coherent choice function, whenever possible, and use this natural extension to make new choices. We present a practical algorithm to compute this natural extension and provide several methods that can be used to improve its scalability.

Lambda functions are quite an intuitive concept of Modern C++ introduced in C++11, so there are already tons of articles on lambda function tutorials over the internet. But still, there are some untold things (like IIFE, types of lambda, etc.) left, which nobody talks about. Therefore, here I am to not only show you lambda function in C++, but we'll also cover how it works internally and other aspects of Lambda.

The title of this article is a bit misleading. Because lambda doesn't always synthesize to function pointer. It's an expression (precisely unique closure). But I have kept it that way for simplicity. So from now on, I will use lambda function and expression interchangeably.

Warm summer nights are on the way.…

The kitchen is the undisputed hub of the household — not only a place for preparing food, but also the preferred spot for paying bills, the at-home office, homework and entertaining.…

Disclosed is a method for producing graphene functionalized at its edge positions of graphite. Organic material having one or more functional groups is reacted with graphite in reaction medium comprising methanesulfonic acid and phosphorus pentoxide, or in reaction medium comprising trifluoromethanesulfonic acid, to produce graphene having organic material fuctionalized at edges. And then, high purity and large scaled graphene and film can be obtained by dispersing, centrifugal separating the functionalized graphene in a solvent and reducing, in particular heat treating the graphene. According to the present invention graphene can be produced inexpensively in a large amount with a minimum loss of graphite. (FIG. 1)

A branched hetero polyfunctional polyoxyalkylene compound represented by the following formula (1): wherein Z represents a hydroxyl group-removed residue of pentaerythritol or dipentaerythritol, OA1 and OA2 represent an oxyalkylene group having 2 to 4 carbon atoms, L1, L2 and L3 represent an alkylene group or an alkylene group that contains an ester bond, a urethane bond, an amide bond, an ether bond, a carbonate bond, a secondary amino group or a urea bond, X and Y are different from each other and represent a functional group capable of a chemical reaction; m and n are an average number of moles of the oxyalkylene group added, m represents 5 to 1,000, n represents 0 to 1,000, and p, q and r represent 0 or 1; and s1 is an integer of 2 or more and s1+s2=4 or 6.

The disclosed embodiments describe a method, an apparatus, an application specific integrated circuit, and a server that provides a fast and efficient look up for data analysis. The apparatus and server may be configured to obtain data segments from a plurality of input devices. The data segments may be individual unique subsets of the entire data set obtained by a plurality input devices. A hash function may be applied to an aggregated set of the data segments. A result of the hash function may be stored in a data structure. A codebook may be generated from the hash function results.

The present invention provides bifunctional silica mesoporous materials, including mesoporous silica nanoparticles (“MSN”), having pores modified with diarylammonium triflate and perfluoroaryl moieties, that are useful for the acid-catalyzed esterification of organic acids with organic alcohols.

A 1,3-diketoamide functional monomer represented by the following formula (1): wherein R and Y are independently selected from the group consisting of hydrogen, an alkyl group having from 1 to 10 carbon atoms, an aryl group having from 6 to 20 carbon atoms, and an aralkyl group having from 7 to 20 carbon atoms; and wherein X and Z are independently selected from the group consisting of an alkyl group having from 1 to 10 carbon atoms, an aryl group having from 6 to 20 carbon atoms, and an aralkyl group having from 7 to 20 carbon atoms. Also disclosed are emulsion, suspension, and solution polymers comprising residues from the 1,3-diketoamide functional monomer of formula 1 and, optionally, one or more additional ethylenically unsaturated monomers. Both latex and self-curing coating compositions described herein exhibit excellent hydrolytic stability, including increased retention of 1,3-diketo functionality.

A facile synthesis of amphiphilic hyperbranched polymers consisting of poly(amic acid) and polyimide was developed via “A2+B3” approach from difunctional anhydride and trifunctional hydrophilic poly(oxyalkylene)triamine. Various amphiphilic hyperbranched poly(amic acid)s (HBPAAs) with terminal amine functionalities and amic acid structures were prepared through ring-opening polyaddition at room temperature, followed by thermal imidization process for the formation of hyperbranched polyimides (HBPIs), accordingly. The resulting HBPIs were analyzed by GPC, indicating the molecule weights of 5000˜7000 g/mol with a distribution of polydispersity between 2.0 and 3.8. The amine titration for HBPIs indicated the peripheral total-amine contents to be 8.32˜18.32 mequiv/g dependent on compositions.

A Test Wrapper and associated Test Access Mechanism (TAM) architecture for facilitating testing of IP blocks integrated on a System on a Chip (SoC). The TAM architecture includes a Test Controller and one or more Test Wrappers that are integrated on the SoC proximate to IP blocks. Test data and commands corresponding to input from an external tester are packaged by the Test Controller and sent to one or more Test Wrappers via an interconnect fabric. The Test Wrappers interface with one or more IP test ports to provide test data, control, and/or stimulus signals to the IP blocks to facilitate circuit-level testing of the IP blocks. Test results for the circuit-level tests are returned to the Test Controller via the fabric. Test Wrappers may be configured to pass through interconnect signals, enabling functional testing of IP blocks to be facilitated via test packages and test results transmitted between the Test Controller and the IP blocks via the fabric. Test wrappers may also be configured to test multiple IP blocks comprising a test partition.

A logical operations functional block for an execution unit of a processor includes a first input data link for a first operand and a second input data link for a second operand. The execution unit includes a register connected to an error correction code detection unit. The logical operations functional block includes a look-up table configured to receive an error correction code syndrome from the error correction code detection unit. The logical operations functional block also includes a multiplexer configured to receive an output signal from the look-up table at a first input and the first operand at a second input, wherein an output of the multiplexer is coupled to the first input data link of a logical functional unit.

In this application, a set of orthogonal functions is introduced whose power spectral densities are all rectangular shape. To find the orthogonal function set, it was considered that their spectrums (Fourier transforms of the functions) are either real-valued or imaginary-valued, which are corresponding to even and odd real-valued time domain signals, respectively. The time domain functions are all considered real-valued because they are actually physical signals. The shape of the power spectral densities of the signals are rectangular thus, the Haar orthogonal function set can be employed in the frequency domain to decompose them to several orthogonal functions. Based on the inverse Fourier transform of the Haar orthogonal functions, the time domain functions with rectangular power spectral densities can be determined. This is equivalent to finding the time-domain functions by taking the inverse Fourier transform of the frequency domain Walsh functions. The obtained functions are sampled and truncated to generate finite-length discrete signals. Truncation destroys the orthogonality of the signals. The Singular Value Decomposition method is used to restore the orthogonality of the truncated discrete signals.

Examples disclose a computing system comprising a computing device with a display surface to detect a selection of functionality from a list of functionalities to be disabled on a calculator. Further, the computing device creates a custom configuration based on the selected functionality. Additionally, the examples also disclose a calculator with a processor to integrate the custom configuration, the custom configuration restricts the selected functionality on the calculator.

In embodiments of driver interface functions to interface client function drivers, a set of serial communication protocol driver interfaces are exposed by a core driver stack, and the serial communication protocol driver interfaces include driver interface functions to interface with client function drivers that correspond to client devices configured for data communication in accordance with the serial communication protocol. A client function driver can check for the availability of a driver interface function before interfacing with the core driver stack via the serial communication protocol driver interfaces. A contract version identifier can also be received from the client function driver via an extension of the driver interface functions, where the contract version identifier indicates a set of operation rules by which the client function driver interfaces with the core driver stack.

A memory system includes a CPU that communicates commands and addresses to a main-memory module. The module includes a buffer circuit that relays commands and data between the CPU and the main memory. The memory module additionally includes an embedded processor that shares access to main memory in support of peripheral functionality, such as graphics processing, for improved overall system performance. The buffer circuit facilitates the communication of instructions and data between CPU and the peripheral processor in a manner that minimizes or eliminates the need to modify CPU, and consequently reduces practical barriers to the adoption of main-memory modules with integrated processing power.

This invention provides a method related to the preparation of derivatives of poly(ethylene glycol), wherein the method comprises increasing the pH of an aqueous composition comprising a poly(ethylene glycol) bearing a —O—(CH2)n—CO2R3 functional group to result in an aqueous composition comprising a poly(ethylene glycol) bearing a —O—(CH2)n—CO2H functional group, wherein R3 is alkyl and (n) in each instance is 1-6.

An adaptable integrated circuit is disclosed having a plurality of heterogeneous computational elements coupled to an interconnection network. The interconnection network changes interconnections between the plurality of heterogeneous computational elements in response to configuration information. A first group of computational elements is allocated to form a first version of a functional unit to perform a first function by changing interconnections in the interconnection network between the first group of heterogeneous computational elements. A second group of computational elements is allocated to form a second version of a functional unit to perform the first function by changing interconnections in the interconnection network between the second group of heterogeneous computational elements. One or more of the first or second group of heterogeneous computational elements are reallocated to perform a second function by changing the interconnections between the one or more of the first or second group of heterogeneous computational elements.

In accordance with embodiments, there are provided mechanisms and methods for controlling a process using a process map. These mechanisms and methods for controlling a process using a process map can enable process operations to execute in order without necessarily having knowledge of one another. The ability to provide the process map can avoid a requirement that the operations themselves be programmed to follow a particular sequence, as can further improve the ease by which the sequence of operations may be changed.

A system and method for efficient compilation and invocation of function type calls in a virtual machine (VM), or other runtime environment, and particularly for use in a system that includes a Java Virtual Machine (JVM). In accordance with an embodiment, the system comprises a virtual machine for executing a software application; a memory space for the application byte code comprising callsites generated using a function type carrier; a bytecode to machine code compiler which performs MethodHandle invocation optimizations; a memory space for the compiled machine code; and a memory space for storing software objects as part of the software application. The system enables carrying the function type from the original MethodHandle to a callsite in the generated bytecode, including maintaining generics information for a function type acquired from a target function, and generating a callsite based on the generics information for the function object invocation.

The present invention relates generally to client-server architectures for allowing generic upload and download functionality between a web application at a server and a client. One exemplary method includes sending a download/upload request to a web application at the server, where the download/upload request specifies at least one file to download/upload; receiving a transmission from the server; parsing the transmission to identify a download/upload command and an associated download/upload manifest, where the download/upload manifest includes executable code that, when executed on the client, will perform the download/upload of the at least one file.

The present invention relates to a class of fragrance precursor compounds comprising one or more of the compounds derived from the reaction of X—OH and an aldehyde or ketone, the fragrance precursor compounds being of the formula X—O—C(R)(R*)(OR**) wherein R is a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R* is H or a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R** is H or X; X—O representing a moiety derived from X—OH, and wherein X—OH is a compound selected from the group consisting of surfactants, fabric softeners, softener precursor ester amines, softener precursor amido amines, hair conditioners, skin conditions, saccharides and polymers. In a second aspect it relates to a method of preparing such precusors. Further the invention relates to compositions, comprising the precursor of the invention.

The present invention relates to a class of fragrance precursor compounds comprising one or more of the compounds derived from the reaction of X—OH and an aldehyde or ketone, the fragrance precursor compounds being of the formula X—O—C(R)(R*)(OR**) wherein R is a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R* is H or a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R** is H or X; X—O representing a moiety derived from X—OH, and wherein X—OH is a compound selected from the group consisting of surfactants, fabric softeners, softener precursor ester amines, softener precursor amido amines, hair conditioners, skin conditions, saccharides and polymers. In a second aspect it relates to a method of preparing such precusors. Further the invention relates to compositions, comprising the precursor of the invention.

The present invention relates to a class of fragrance precursor compounds comprising one or more of the compounds derived from the reaction of X—OH and an aldehyde or ketone, the fragrance precursor compounds being of the formula X—O—C(R)(R*)(OR**) wherein R is a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R* is H or a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R** is H or X; X—O representing a moiety derived from X—OH, and wherein X—OH is a compound selected from the group consisting of surfactants, fabric softeners, softener precursor ester amines, softener precursor amido amines, hair conditioners, skin conditions, saccharides and polymers. In a second aspect it relates to a method of preparing such precusors. Further the invention relates to compositions, comprising the precursor of the invention.

The present invention relates to a class of fragrance precursor compounds comprising one or more of the compounds derived from the reaction of X—OH and an aldehyde or ketone, the fragrance precursor compounds being of the formula X—O—C(R)(R*)(OR**) wherein R is a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R* is H or a C6-24 alkyl group, a C6-24 aralkyl group or a C6-24 alkaryl group; R** is H or X; X—O representing a moiety derived from X—OH, and wherein X—OH is a compound selected from the group consisting of surfactants, fabric softeners, softener precursor ester amines, softener precursor amido amines, hair conditioners, skin conditions, saccharides and polymers. In a second aspect it relates to a method of preparing such precursors. Further the invention relates to compositions, comprising the precursor of the invention.

In one embodiment of the invention, an integrated circuit (IC) design tool is provided for synthesizing logic, including one or more software modules to synthesize a gate-level netlist of a squarer functional block. The software modules include a bitvector generator, a bitvector reducer, and a hybrid multibit adder generator. The bitvector generator multiplies bits of a vector together to generate partial products for a plurality of bitvectors and then optimizes a plurality of least significant bitvectors. The bitvector reducer reduces the partial products in the bitvectors of the squarer functional block down to a pair of final vectors. The hybrid multibit adder generator generates a hybrid multibit adder including a first adder and a second adder coupled together by a carry bit with bit widths being responsive to a dividerbit. The hybrid multibit adder adds the pair of final vectors together to generate a final result for the squarer functional block.

Gemini surfactants of bis-N-alkyl polyether, bis-N-alkenyl polyether, bis-N-cycloalkyl polyether, bis-N-aryl polyether bis-beta or alpha-amino acids or their salts, are produced for use as multifunctional corrosion inhibitors, which protect and prevent corrosion of ferrous metals exposed to acidic, basic and neutral liquids when transporting or storing crude oil and liquid fuels. The surfactants are also used to inhibit corrosion of equipment and pipes used in cooling systems in petroleum and petrochemical equipment. The Gemini surfactants have the structural formula:

To improve the consumer experience with portable electronic devices, a user interface combines the use of capacitive sensors with tactile sensors in an input device. When a user places a finger, stylus, or other input instrument near a given key button, a capacitive sensor causes the display to display temporarily an indication of the function of that key in an enlarged format. The user may then press the associated key button to activate the desired function. In one exemplary embodiment, the capacitive sensor fixes the functionality to the function indicated in the display. In this embodiment, a tactile input applied to any key, whether the correct key, multiple keys, or a single incorrect key, results in activating the function indicated in the display as a result of the capacitive input.

Systems and methods whereby, for example, one or more functional elements can be established and/or employed. Such functional elements might serve a number of purposes. For instance, such functional elements might be employable in interoperating with devices, software, and/or the like, in working with entities, and/or the like. Such functional elements may, for example, be arrangeable in an associative and/or hierarchical manner.

A composition for maintaining a function of platelets, the composition comprising, as an active ingredient, a compound represented by the following general formula (I) or a salt thereof, or a solvate thereof: wherein X represents a phenylene group;Y represents any one of a hydrogen atom and —(CH2)mR1;wherein m represents an integer of any one of 0 to 4; andR1 is any one of —NR5COR2, —NR5SO2R2, and —NR3R4;wherein R2 represents any one of a C1 to C6 alkyl group, an aryl group, a C1 to C6 alkoxy group, and the like;R3 and R4 represent a C1 to C6 alkyl group or the like; andR5 represents any one of a hydrogen atom, a C1 to C6 alkyl group, and the like; and Z represents any one of a hydrogen atom and a C1 to C6 alkyl group.

The present invention relates functional ligands to target molecules, particularly to functional nucleic acids and modifications thereof, and to methods for simultaneously generating, for example, numerous different functional biomolecules, particularly to methods for generating numerous different functional nucleic acids against multiple target molecules simultaneously. The present invention further relates to functional ligands which bind with affinity to target molecules. The present invention further relates to methods for generating, for example, functional biomolecules, particularly to functional nucleic acids, that bind with functional activity to another biomolecule, such as a receptor molecule. More than one or multiple targets as used herein may generally include different types of targets, and/or may also include a multitude of a singular type of targets at different conditions, such as, for example, temperature, pH, chemical environment, and/or any other appropriate conditions.

Embodiments of the present disclosure include methods and compositions for functionalizing molecules, such as oligonucleotides, with functional groups, including polyhistidine tags useful in affinity methods. Some embodiments include methods for modifying and purifying complex mixtures of molecules by exchange of functional tags.

A device incorporating a data communication function 15 having a power supply circuit 38 of a dispersed power supply system is provided with a terminal 51-2 for receiving power supply from another device 14 which initiates data communication and a drive circuit 53-2 for performing the data communication with the another device 14, wherein when the terminal 51-2 is supplied with power, the power supplied to the terminal 51-2 is supplied to the drive circuit 53-2 in an off state of the power supply circuit 38. It thereby reduces self-power-loss and ensures reliability of performance.

The present invention relates to a process for synthesizing a multifunctional compound, including the reaction of a compound of formula (II) with atmospheric or molecular oxygen, in the presence of at least one aldehyde of formula (III), and optionally in the presence of at least one catalyst or at least one radical initiator; wherein: R10, R20, R30, R40, R50, L2, R60, R7, R8, and R9 are as described in the claims. The invention also relates to the use of these compounds as monomers for the preparation of polyurethane. The invention also relates to the use of these compounds as monomers of polymers or of biopolymers.

A method of making amino-mercapto functional organopolysiloxanes is disclosed by reacting (A) a dialkoxydialkylsilane, (B) an amino functional alkoxy silane, and (C) a mercapto functional alkoxy silane, via a condensation reaction. The amino-mercapto functional organopolysiloxanes products are useful in textile and fabric treatments.

A new functionalized polyhedral octavinylsilsesquioxanes having the general formula 1, in which R1 denotes: (1) any aryl group other than a non-substituted phenyl or a phenyl substituted in position four with a halogen or the groups-trimethylsilylethynyl, 4,4,5,5-tetramethyl-1,3-dioxaborolane-2-yl, 3,4-dimethoxyphenyl, 3',5'-bis(methoxycarbonyl)phenyl or benzo[d][1,3]-dioxol-5-yl; (2) any heteroaryl group; or (3) groups including coupled aromatic rings. Additionally, a method to obtain new and known functionalized polyhedral octavinylsilsesquioxanes having the general formula 1, by the silylating coupling of octavinylsilsesquioxane with olefins in the presence of a ruthenium complex catalyst.

The present invention relates to a stable mixture comprising surface-modified particles which are obtained by reacting metal oxide or semimetal oxide particles with at least one compound selected from among silicon-comprising compounds bearing at least one metaloxy radical and optionally further alkoxy and/or hydroxy radical(s) and at least one solvent, at least one surface-active substance or a mixture thereof, a process for producing the mixture, the use of these particles in systems in which they are brought into contact with at least one solvent, where the mass ratio of solvent to modified particle is greater than 500, and also the use of these particles in agglomeration-deagglomeration cycles.

The invention relates to a method for producing mono-aminofunctionalized dialkylphosphinic acids and esters and salts thereof by means of acrylnitriles, characterized in that a) a phosphinic acid source (I) is reacted with olefins (IV) to yield an alkylphosphonic acid, salt or ester (II) thereof in the presence of a catalyst A, b) the thus obtained alkylphosphonic acid, salt or ester (II) thereof is reacted with an acrylnitrile of formula (V) to yield a mono-functionalized dialkylphosphinic acid derivative (VI) in the presence of a catalyst B, and c) the thus obtained mono-functionalized dialkylphosphinic acid derivative (VI) is reacted to yield a mono-aminofunctionalized dialkylphosphinic acid derivative (III) in the presence of a catalyst C or a reduction agent, wherein R1, R2, R3, R4, R5, R6, R7 are the same or different and stand independently of each other, among other things, for H, C1-C18 alkyl, C6-C18 aryl, C6-C18 aralkyl, C6-C18 alkylaryl and X stands for H, C1-C18 alkyl, C6-C18 aryl, C6-C18 aralkyl, C6-C18 alkylaryl, Mg, Ca, Al, Sb, Sn, Ge, Ti, Fe, Zr, Zn, Ce, Bi, Sr, Mn, Cu, Ni, Li, Na, K and/or a protonized nitrogen base, and Y stands for a mineral acid, a carboxylic acid, a Lewis acid or an organic acid, n=an integer or fractional number of 0 to 4 and the catalysts A and C are formed by transition metals, transition metal compounds and/or catalyst systems composed of a transition metal and/or a transition metal compound and at least one ligand, and catalyst B is formed by compounds forming peroxides, peroxo compounds, azo compounds, alkali metals, alkaline earth metals, alkali hydrides, alkaline earth hydrides and/or alkali alcoholates and alkaline earth alcoholates.

Methods and apparatuses for a soft-start function with auto-disable are described. Such methods and apparatuses can gradually increase a voltage towards a reference voltage using a ramp generator and a control loop and can disable the ramp generator and the control loop once the voltage has reached the reference voltage.

The invention contemplates a copolymer which is a graft or block copolymer useful to change wettability and surface characteristics of biological surfaces. Methods for use of these formulations and coatings to change wettability and sterically stabilize, and lubricate biological surfaces in a subject, for example, in the treatment of dry eye syndrome, and to prevent adherence of unwanted proteins, for example in the treatment of contact lens intolerance, are provided.

Biomaterials that support cell attachment and growth are provided. In one aspect, biomaterials are provided comprising a first polymer matrix comprising reactive amino moieties and a second polymer matrix that interpenetrates with the first polymer matrix, where the second polymer matrix comprises a poly(alkylene oxide) comprising two or more alkylene oxide oligomers joined by gamma-thioether carbonyl linkages. In another aspect, biomaterials are provided comprising at least one biopolymer comprising amino groups, thiol groups, and bifunctional modifiers connecting at least some of the amino groups to at least some of the thiol groups; and at least one poly(alkylene oxide) cross-linked to at least two thiol groups of the biopolymer. The biomaterials may further comprise a pharmacologically active agent or cells. Methods of administering such biomaterials to a patient in need thereof are also provided.