摘要：The* *system* **of** *equations* *simulating* *the* *processes* **of** *nonstationary* *stimulated* *Raman* *scattering* *(SRS)* *with* *the* *excitation* **of** *polar* *optical* *phonons* *is* *obtained.* *This* *system* *is* *found* *by* *applying* *such* *standard* *methods* *as* *the* *nonstationary* *theory* **of** *perturbations,* *which* *resulted* *in* *the* *equations* *for* *the* *amplitudes* **of** *probabilities* *to* *find* *the* *discrete* *system* *in* *certain* *state,* **and** *slowly-varying* *amplitudes* *for* *the* *electromagnetic* *waves.* *It* *has* *been* *shown* *that* *the* *obtained* *system* *includes,* *as* *extremes,* *the* *case* **of** *classical* *interaction* *between* *electromagnetic* *field* **and** *resonant* *medium* *(including* *the* *“area* *theorem”),* **and** *the* *one* *related* *with* *SRS* *on* *optical* *phonons.* *We* *have* *conducted* *both* *theoretical* **and** *numerical* *investigation* **of** *simplified* *system* *assuming* *that* *the* *amplitudes* **of** *all* *electromagnetic* *waves* *(laser,* *Stokes,* **and** *polariton)* *were* *real* *(there* *was* *no* *destructive* *spatial-temporal* *phase* *modulation).* *Only* *low-order* *nonlinear* *processes* *are* *considered.* *It* *is* *shown* *that* *this* *system* *can* *be* *reduced* *to* *Sine-Gordon* *equation.* *This* *system* *can* *also* *be* *simplified* *to* *the* *equation* *that* *simulates* *the* *motion* **of** *physical* *pendulum* *from* *upper* *equilibrium* *position.* *The* *numerical* *study* **of** *nonstationary* *SRS* *when* *the* *electromagnetic* *field* **of** *laser* *radiation* **and** *Stokes* *excite* *both* *polariton* *emission* **and** *the* *continuum* **of** *dipole-active* *phonons* *has* *been* *carried* *out.* *The* *evolution* **of** *the* *intensity* **of** *the* *polariton* *wave* *as* *function* **of** *the* *length* **of** *nonlinear* *medium* *has* *been* *numerically* *analyzed....

2.
Highly* *Efficient* *Conversion* **of** *Solar* *Energy* *by* *the* *Photoelectric* *Converter* **and** *a* *Thermoelectric* *Converter

摘要：The* *analysis* **of** *the* *principle
operation* **of** *the* *solar* *element* *is* *given* *in* *the* *work.* *The* *efficiency* **of** *the
creation* **of** *combined* *high-efficiency* *converters* **of** *network* *energy* *in* *electric
*and** *thermal* *is* *indicated.* *A* *method* *for* *creating* *a* *combined* *photo* *thermo
converter* *with* *a* *high* *value* **of** *the* *efficiency* **of** *a* *solar* *element* *has* *been
found.* *A* *method* *for* *separating* *light* *from* *optical* *lenses* *is* *shown.* *The
calculation* **of** *the* *light* *intensity* *into* *diffraction* *pattern* *is* *calculated* *using
the* *Huygens-Fresnel* *principle.* *A* *new* *design* **of** *a* *highly* *efficient* *combined
light-thermal* *converter* *into* *an* *electrical,* *with* *a* *solar* *element,* *operating* *on
selective* *photoactive* *radiation* *is* *presented.* *The* *process* **of** *conversion* **of*
non-active* *radiation* *into* *electrical* *radiation* *by* *means* **of** *a* * style="font-family:Verdana;">thermo* *electronic* *converter* *is* *described.* *The* *ways
*of** *the* *solution* **of** *the style="font-family:Verdana;">* *problem* *connected* *with* *the* *reduction* **of** *the
coefficient* **of** *its* *full* *effect* *as* *a* *function* **of** *temperature* **and** *characteristics
are* *indicated....

摘要：The* *approach* *proposed* *in* *the* *study* *is* *based* *on* *the* *revision* **of** *the* *concept* **of*
time* *as* *a* *point* *on* *the* *real* *axis.* *It* *uses* *the* *concept* **of** *fuzzy* *time* *as* *the* *set* **of*
real* *numbers* *with* *a* *finite,* *but* *not* *equal* *to* *one,* *function* **of** *membership* *to
the* *time* *set,* **i.e.** *the* *fuzzy* *time* *concept.* *It* *is* *postulated* *that* *in* *fuzzy* *time* **t** *the
system* *dynamics* *follows* *from* *the* *standard* *variational* *principle* **of** *the* *least
action* **and** *is* *ordinary* *Hamilton-Jacobi* *mechanics.* *This* *validates* *the* *passage
to* *the* *limit* *from* *fuzzy* *mechanics* *to* *ordinary* *variational* *conservative* *mechanics.
The* *Liouville* *equation* *is* *solved* *by* *the* *method* **of** *successive* *approximations
in* *the* *time* *domain* **of** *a* *much* *larger* *characteristic* *scale* **of** *fuzziness,
using* *interaction* *as* *a* *small* *parameter.* *A* *standard* *diagram* *technique
is* *used.* *It* *can* *be* *shown* *that* *the* *defuzzification* **of** *the* *Liouville* *equation* *inevitably
reduces* *the* *reversible* *part* *in* *the* *description* *to* *the* *irreversible* *evolutionary
equation.* *The* *latter* *leads* *to* *the* *second* *law* **of** *thermodynamics.* *Generalization
to* *the* *quantum* *case* *is* *possible,* **i.e.** *the* *so-called* *fuzzy* *Pauli* *equation
can* *be* *drawn....

摘要：

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The* *EM* *algorithm* *is* *a* *very* *popular* *maximum* *likelihood* *estimation* *method,* *the* *iterative* *algorithm* *for* *solving* *the* *maximum* *likelihood* *estimator* *when* *the* *observation* *data* *is* *the* *incomplete* *data,* *but* *also* *is* *very* *effective* *algorithm* *to* *estimate* *the* *finite* *mixture* *model* *parameters.* *However,* *EM* *algorithm* *can* *not* *guarantee* *to* *find* *the* *global* *optimal* *solution,* **and** *often* *easy* *to* *fall* *into* *local* *optimal* *solution,* *so* *it* *is* *sensitive* *to* *the* *determination* **of** *initial* *value* *to* *iteration.* *Traditional* *EM* *algorithm* *select* *the* *initial* *value* *at* *random,* *we* *propose* *an* *improved* *method* **of** *selection* **of** *initial* *value.* *First,* *we* *use* *the* *k-nearest-neighbor* *method* *to* *delete* *outliers.* *Second,* *use* *the* *k-means* *to* *initialize* *the* *EM* *algorithm.* *Compare* *this* *method* *with* *the* *original* *random* *initial* *value* *method,* *numerical* *experiments* *show* *that* *the* *parameter* *estimation* *effect* **of** *the* *initialization* **of** *the* *EM* *algorithm* *is* *significantly* *better* *than* *the* *effect* **of** *the* *original* *EM* *algorithm.

5.
Some* *Features* **of** *Neural* *Networks* *as* *Nonlinearly* *Parameterized* *Models* **of** *Unknown* *Systems* *Using* *an* *Online* *Learning* *Algorithm

摘要：This* *paper* *deals* *with* *deriving* *the* *properties* **of*
updated* *neural* *network* *model* *that* *is* *exploited* *to* *identify* *an* *unknown* *nonlinear
system* *via* *the* *standard* *gradient* *learning* *algorithm.* *The* *convergence* **of** *this
algorithm* *for* *online* *training* *the* *three-layer* *neural* *networks* *in* *stochastic
environment* *is* *studied.* *A* *special* *case* *where* *an* *unknown* *nonlinearity* *can
exactly* *be* *approximated* *by* *some* *neural* *network* *with* *a* *nonlinear* *activation
function* *for* *its* *output* *layer* *is* *considered.* *To* *analyze* *the* *asymptotic* *behavior
*of** *the* *learning* *processes,* *the* *so-called* *Lyapunov-like* *approach* *is* *utilized.* *As
the* *Lyapunov* *function,* *the* *expected* *value* **of** *the* *square* **of** *approximation* *error
depending* *on* *network* *parameters* *is* *chosen.* *Within* *this* *approach,* *sufficient
conditions* *guaranteeing* *the* *convergence* **of** *learning* *algorithm* *with* *probability
1* *are* *derived.* *Simulation* *results* *are* *presented* *to* *support* *the* *theoretical
analysis....

摘要：

... style="text-align:justify;">
According* *to* *the* *information* *theory* *model,* *I* *use* *the* *qualitative* *analysis* *to* *explain* *the* *information* *flows* *through* *the* *media* *channel* *become* *news.* *Besides,* *I* *make* *use* **of** *a* *pyramid* *model* *to* *expound* *the* *relationship* *among* *each* *media.* *I* *combine* *the* *information* *theory* *model* *into* *the* *prediction* *process,* *taking* *advantage* **of** *curve* *fitting* **and** *listing* *out* *different* *ratios* **of** *media* *capacities.* *Finally* *I* *get* *the* *small* *relative* *error* *between* *the* *fitting* *result* **and** *the* *reality.* *Based* *on* *the* *ELM* *model,* *I* *classify* *the* *information* *in* *two* *ways* *on* *the* *basis* **of** *the* *four* *specific* *factors.* *By* *taking* *the* *influence* *degree* **of** *public* *opinion* *into* *account,* *I* *quantify* *the* *factors* *with* *different* *ratios* *to* *determine* *how* *they* *could* *be* *used* *in* *information* *spreading.

7.
To* *the* *Solution* **of** *Three-Dimensional* *Problems* **of** *Oscillations* *in* *the* *Theory* **of** *Elasticity* *in* *Thick* *Plates* **of** *Variable* *Thickness

摘要：A* *technique* *for* *solving* *the* *three-dimensional* *problem* **of** *bending* *in* *the* *theory* **of** *elasticity* *in* *orthotropic* *plates* **of** *variable* *thickness* *is* *developed* *in* *the* *paper.* *On* *the* *basis* **of** *the* *method* **of** *expansion* **of** *displacements* *into* *an* *infinite* *series,* *the* *problem* *has* *been* *reduced* *to* *the* *solutions* **of** *two* *independent* *problems,* *which* *are* *described* *by* *two* *independent* *systems* **of** *two-dimensional* *infinite* *equations....

摘要：The* *paper* *addresses* *the* *question* **of** *optimal* *development* **of** *a* *developing* *economy.* *The* *framework* *presented,* *it* *is* *believed,* *can* *be* **of** *help* *in* *thinking* *about* *policies* *relating,* **inter** *alia,* *to* *population* *growth,* *inter-sectoral* *migration,* *agriculture-industry* *relationship,* *wages* *in* *different* *sectors,* **and** *income* *distribution* *in* *an* *inter-connected* *way* *in* *the* *context* **of** *optimal* *development* **of** *an* *economy* *with* *an* *informal* *sector....

摘要：**Aims****:*** *Steadily* *the* *clinicians* **of** *our* *team* *in* *inflammatory* *bowel* *disease* *encounter* *ulcerative* *colitis* *patients* *that* *develop* *deep* *ulcers* *during* *their* *treatment.* *Currently,* *these* *practitioners* *are* *only* *equipped* *with* *their* *grade* **of** *expertise* *in* *inflammatory* *domains* *to* *decide* *what* *new* *therapy* *maybe* *use* *in* *such* *cases.* *Encouraged* *by* *the* *limited* *knowledge* **of** *this* *frequent* *pathology,* *we* *seek* *to* *determine* *the* *molecular* *conditions* *underlying* *the* *recurrent* *formation* **of** *deep* *ulcerations* *in* *certain* *group* **of** *patients.* ***Method****:*** *The* *goal* **of** *this* *strategy* *is* *to* *expose* *differences* *between* *groups* **of** *patients* *based* *on* *similarities* *computed* *by* **random** *walk* *graph* *kernels* **and** *performing* **functional** *inference* *on* *those* *differences.* ***Results****:*** *We* *apply* *the* *methodology* *to* *a* *cohort* **of** *eleven* *miRNA* *microarrays* **of** *ulcerative* *colitis* *patients.* *Our* *results* *showed* *how* *the* *group* **of** *ulcerative* *colitis* *patients* *with* *presence* **of** *deep* *ulcers* *is* *topologically* *more* *similar* *(0.35)* *than* *ulcerative* *colitis* *patients* *(0.18)* *to* *control.* *Such* *topological* *constraint* *drove* *functional* *inference* *to* *complete* *the* *information* *that* *clinicians* *need.* ***Conclusions****:*** *Our* *analyses* *reveal* *highly* *interpretable* *in* *the* *guidance* **of** *practitioners* *to* *eventually* *correct* *initial* *therapies* **of** *ulcerative* *colitis* *patients* *that* *develop* *deep* *ulcers.* *The* *methodology* *can* *provide* *them* *with* *useful* *molecular* *hypotheses* *necessaries* *prior* *to* *make* *any* *decision* *on* *the* *newest* *course* **of** *the* *treatment....

10.
Simplest* *Method* *for* *Calculating* *the* *Lowest* *Achievable* *Uncertainty* **of** *Model* *at* *Measurements* **of** *Fundamental* *Physical* *Constants

摘要：The* *CODATA* *procedure* *for* *calculating* *the* *recommended* *relative* *uncertainty* **of** *the* *measured* *fundamental* *physical* *constants* *is* *complex* **and** *is* *based* *on* *the* *use* **of** *powerful* *computers* **and** *modern* *mathematical* *statistical* *methods.* *In* *addition,* *the* *expert’s* *opinion* *caused* *by* *accumulated* *knowledge,* *life* *experience* **and** *intuition* **of** *researchers* *is* **applied** *at* *each* *stage* **of** *the* *calculations.* *In* *this* *article,* *the* *author* *continues* *to* *advocate* *a* *theoretically* *grounded* *information* *method* *as* *the* *most* *effective* *tool* *for* *testing* **and** *achieving* *the* *minimum* *possible* *relative* *uncertainty* *for* *any* *measurements* **of** *experimental* **physics** **and** *engineering.* *The* *introduced* *fundamental* *limit* *characterizing* *discrepancy* *between* *a* *model* **and** *the* *observed* *object* *cannot* *be* *overcome* *by* *any* *improvement* **of** *instruments,* *methods* **of** *measurement* **and** *the* *model’s* *computerization.* *Examples* *are* *given....

摘要：Since* *the* *advent* **of** *relativity,* *it* *is* *widely* *accepted* *that* *the* *law* **of** *conservation* **of** *energy* *must* *include* *the* *energy* *created* *by* *disintegration* **of** *matter,* *or* *converted* *into* *matter.* *The* *aim* **of** *the* *present* *paper* *deals* *with* *the* *insertion* **of** *this* *concept* *into* *the* *basic* *equations* **of** *thermodynamics....

摘要：The* *column* **of** *electron* *electrostatic* *accelerator* *is* *one* **of** *the* *critical* *components* *in* *electrostatic* *accelerator.* *The* *geometrical* *design* **of** *such* *accelerator* *must* *be* *as* *such* *that* *in* *the* *case* **of** *applying* *voltage* *to* *its* *electrodes,* *not* *only* *should* *its* *equipotential* *surfaces* **and** *its* *gradient* *accelerate* *the* *beam* *particles* *up* *to* *desired* *energy,* *but* *also* *it* *should* *focus* *the* *beam* **and** *hinder* *broadening* **of** *energy* *distribution* **of** *accelerated* *particles.* *The* *immersed* *electrodes* *in* *the* *field* *are,* *geometrically,* *perpendicular* *to* *optical* *axis* *around* *the* *medial* *plane.* *Numerous* *models* *that* *can* *be* *used* *in* *the* *distribution* **of** *axial* *potential,* *have* *been* *presented* **and** *linear* *model,* *analytical* *model,* *double-column* *electrode* *model* **and** *polynomial* *electrode* *model* *are* *among* *them.* *In* *this* *paper,* *series* *expansions* *based* *on* *Bessel* *functions* *is* *used* *to* *obtain* *the* *axial* *potential* *distribution* **of** *immersed* *accelerator* *electrodes* *in* *double-electrode* *field* **and** *it* *is* *then* *compared* *to* *the* *mentioned* *models* *by* *solving* *the* *final* *equation* *via* *the* *least* *square* *method.* *Finally,* *by* *using* *CST* *Studio* *software* **and** *the* *information* *we* *obtained* *from* *the* *axial* *potential,* *the* *column* **of** *electron* *accelerator* *with* *its* *energy* *distribution* **and** *its* *optimal* *electron* *output* *beam* *radius* *is* *designed* **and** *simulated....

摘要：Machine* *learning* *consists* *in* *the* *creation* **and** *development* **of** *algorithms* *that* *allow* *a* *machine* *to* *learn* *itself,* *gradually* *improving* *its* *behavior* *over* *time.* *This* *learning* *is* *more* *effective,* *the* *more* *representative* *is* *the* *features* **of** *the* *dataset* *used* *to* *describe* *the* *problem.* *An* *important* *objective* *is* *therefore* *the* *correct* *selection* *(*and*,* *possibly,* *reduction* **of** *the* *number)* **of** *the* *most* *relevant* *features,* *which* *is* *typically* *carried* *out* *through* *dimensional* *reduction* *tools* *such* *as* *Principal* *Component* *Analysis* *(PCA),* *which* *is* *not* *linear* *in* *the* *more* *general* *case.* *In* *this* *work,* *an* *approach* *to* *the* *calculation* **of** *the* *reduced* *space* **of** *the* *PCA* *is* *proposed* *through* *the* *definition* **and** *implementation* **of** *appropriate* *models* **of** *artificial* *neural* *network,* *which* *allows* *to* *obtain* *an* *accurate* **and** *at* *the* *same* *time* *flexible* *reduction* **of** *the* *dimensionality* **of** *the* *problem....

摘要：In* *this* *paper,* *an* *Improved* *Affine-Scaling* *Interior* *Point* *Algorithm* *for* *Linear* *Programming* *has* *been* *proposed.* *Computational* *results* **of** *selected* *practical* *problems* *affirming* *the* *proposed* *algorithm* *have* *been* *provided.* *The* *proposed* *algorithm* *is* *accurate,* *faster* **and** *therefore* *reduces* *the* *number* **of** *iterations* *required* *to* *obtain* *an* *optimal* *solution* **of** *a* *given* *Linear* *Programming* *problem* *as* *compared* *to* *the* *already* *existing* *Affine-Scaling* *Interior* *Point* *Algorithm.* *The* *algorithm* *can* *be* *very* *useful* *for* *development* **of** *faster* *software* *packages* *for* *solving* *linear* *programming* *problems* *using* *the* *interior-point* *methods....

15.
Dynamics* **of** *a* *Nonautonomous* *Plant* *Disease* *Model* *with* *General* *Nonlinear* *Incidence* *Rate* **and** *Time-Varying* *Impulse

摘要：In* *this* *paper,* *for* *controlling* *the* *spread* **of** *plant* *diseases,* *a* *nonautonomous* *SEIS* *(Susceptible* *→* *Exposed* *→* *Infectious* *→* *Susceptible)* *epidemic* *model* *with* *a* *general* *nonlinear* *incidence* *rate* **and** *time-varying* *impulsive* *control* *strategy* *is* *proposed* **and** *investigated.* *This* *novel* *model* *could* *result* *in* *an* *objective* *criterion* *on* *how* *to* *control* *plant* *disease* *transmission* *by* *replanting* **of** *healthy* *plants* **and** *removal* **of** *infected* *plants.* *Using* *the* *method* **of** *small* *amplitude* *perturbation,* *the* *sufficient* *conditions* *under* *which* *guarantee* *the* *globally* *attractive* **of** *the* *disease-free* *periodic* *solution* **and** *the* *permanence* **of** *the* *disease* *are* *obtained,* *that* *is,* *the* *disease* *dies* *out* *if* *R_{1}<1,* *otherwise,* *the* *disease* *persists* *if* *R_{2}>1....

摘要：*Anopheles** *funestus* **and** **Anopheles** *gambiae* *are* *malaria* *vector* *mosquitoes.* *Knowing* *their* *resting* *behavior* *is* *important* *for* *implementing* *control* *methods.* *The* *aim* **of** *this* *study* *was* *to* *investigate* *the* *resting* *behaviour* **of** *the* *two* *malaria* *mosquitoes.* *The* *study* *was* *conducted* *in* *Kilombero* *River* *Valley* **and** *mosquitoes* *were* *collected* *using* *indoor* **and** *outdoor* *traps* *from* *2012-2015.* *Poisson* *mixed* *models* *were* *used* *to* *quantify* *the* *impact* **of** *environment* *variables* *on* *resting* *behaviour.* *A* *log* *ratio* *rate* *between* *the* *type* **of** *trap* **and** *its* *interaction* *with* *environmental* *variables* *was* *used* *to* *determine* *if* *there* *was* *a* *change* *over* *time* *in* *the* *resting* *behaviour.* *A* *total* **of** *4696* *mosquitoes* *were* *resting* *indoors* **of** *which* *57%* *were* **A.** *funestus* **and** *43%* *were* **A.** *gambiae.* *Similarly,* *a* *total* **of** *12,028* *mosquitoes* *were* *resting* *outdoor* **of** *which* *13%* *were* **A.** *funestus* **and** *87%* *were* **A.** *gambiae.* *Temperature* *was* *significant* **and** *affected* *the* *resting* *behaviour* **of** **A.** *funestus.* *Humidity,* *saturation* *deficit* **and** *temperature* *were* *significant* *variables* *influencing* *the* *resting* *behaviour* **of** **A.** *gambiae.* **A.** *funestus* *was* *resting* *indoor* *while* **A.** *gambiae* *was* *resting* *outdoor* *over* *time* *generally.* *The* *findings* **of** *this* *study* *on* *the* *effects* **of** *environmental* *variables* **and** *the* *variations* *in* *the* *resting* *behaviour* **of** **A.** *gambiae* **and** **A.** *funestus* *could* *be* *used* *as* *a* *guide* *to* *implementing* *appropriate* *intervention* *measures* *such* *as* *indoor* *residential* *spraying* *(IRS),* *insecticide* *treated* *nets* *(ITNs)* **and** *mosquito* *repellents....

摘要：Inverse* **and** *saturation* *theorems* *have* *been* *studied* *for* *linear* *combination* **of** *some* *summation* *integral* *hybrid* *linear* *positive* *operators.* *Linear* *approximating* *technique* **and** *Steklov* *means* *have* *been* *used* *to* *obtain* *better* *approximation* *results....

摘要：In* *waves* *dynamics,* *Generalized* *Kortewegde* *Vries* *(gKdV)* *equation* **and** *Sawada-Kotera* *equation* *(Ske)* *have* *been* *used* *to* *study* *nonlinear* *acoustic* *waves,* *an* *inharmonic* *lattice* **and** *Alfven* *waves* *in* *a* *collisionless* *plasma,* **and** *a* *lot* **of** *more* *important* *physical* *phenomena.* *In* *this* *paper,* *the* *simple* *equation* *method* *(SEM)* *is* *used* *to* *obtain* *new* *traveling* *wave* *solutions* **of** *gKdv* **and** *Ske.* *The* *physical* *properties* **of** *the* *obtained* *solutions* *are* *graphically* *illustrated* *using* *suitable* *parameters.* *The* *computational* *simplicity* **of** *the* *proposed* *method* *shows* *the* *robustness* **and** *efficiency* **of** *SEM....

摘要：Fractional* *differential* *equations* *are* *widely* *used* *in* *many* *fields.* *In* *this* *paper,* *we* *discussed* *the* *fractional* *differential* *equation* **and** *the* *applications* **of** *Adomian* *decomposition* *method.* *Where* *the* *fractional* *operator* *is* *in* *Caputo* *sense.* *Through* *the* *numerical* *test,* *we* *can* *find* *that* *the* *Adomian* *decomposition* *method* *is* *a* *powerful* *tool* *for* *solving* *linear* **and** *nonlinear* *fractional* *differential* *equations.* *The* *numerical* *results* *also* *show* *the* *efficiency* **of** *this* *method....

摘要：In* *this* *paper,* *we* *mainly* *use* *operator* *decomposition* *technique* *to* *prove* *the* *global* *attractors* *which* *in* * src="Edit_e582630e-0682-4eda-962e-7dabff990bc1.png"* *alt=""* */> for* *the* *Kirchhoff* *wave* *equation* *with* *strong* *damping* **and** *critical* *nonlinearities,* *are* *also* *bounded* *in* * src="Edit_d2d091bb-3660-4223-95cb-19e1b6b9e4f0.png"* *alt=""* */>....

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