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Carbon nanotube based labels for highly sensitive colorimetric and aggregation based visual detection of nucleic acids

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An IOP and SISSA journal J A hydrodynamical approach to CMB distortion from primordial perturbations

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The bispectrum in the Effective Field Theory of Large Scale Structure

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A dynamical cosmological term from the Verlinde s maps

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Emergence of Genetic Instability in Children Treated for Leukemia

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Full density matrix dynamics for large quantum systems: interactions, decoherence and inelastic effects

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On the spectrum of superspheres

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Cosmological models with Gurzadyan Xue dark energy

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Longitudinal wave band gaps in metamaterial based elastic rods containing multi degree of freedom resonators New Journal of

*Searchterm: all physics formulas, query time: 0.2 seconds*####
Carbon nanotube based labels for highly sensitive colorimetric and aggregation based visual detection of nucleic acids

http://iopscience.iop.org/0957-4484/18/45/455102/

...A novel carbon nanotube (CNT) derived label capable of dramatic signal amplification of nucleic acid detection and direct visual detection of target hybridization has been developed. Highly sensitive colorimetric detection of human acute lymphocytic ...####
An IOP and SISSA journal J A hydrodynamical approach to CMB distortion from primordial perturbations

http://iopscience.iop.org/1475-7516/2013/02/036/

...e cosmic microwave background provides a unique opportunity to probe primordial perturbations on very small scales by performing large-scale measurements. We discuss in a systematic and pedagogic way **all**the relevant physical...####
The bispectrum in the Effective Field Theory of Large Scale Structure

http://iopscience.iop.org/1475-7516/2015/05/007/

...using only operators that are local in time. We then derive **all**the new operators required to cancel the UV-divergences and obtain a physically meaningful prediction for the one-loop bispectrum. In addition to new, subleading stochastic noises and th...####
A dynamical cosmological term from the Verlinde s maps

http://www.sciencedirect.com/science/article/pii/S0370269306006654/

...his universe static, the genie has been let out of the bottle and it is no longer easy to force it back in , paraphrasing Zel dovich [1]. The cosmologi-cal constant has been an elusive problem during **all**...####
Emergence of Genetic Instability in Children Treated for Leukemia

http://www.sciencemag.org/content/288/5465/514.abstract

...T cells from patients who had received chemotherapy for B-lineage acute lymphocytic leukemia were studied to determine whether genetic instability, a principal characteristic of cancer cells, can also occur in nonmalignant cells. Consistent with expe...####
**Physics** Letters B MHV amplitude for 3 3 gluon scattering in Regge limit

http://www.sciencedirect.com/science/article/pii/S0370269311011348/

...ntributions being in agreement with the BFKL predictions. The real part of the three loop expression is found from a dispersion-like **all**-loop formula for the remainder function in the multi-Regge kinematics derived by one of the authors. We also make...####
Full density matrix dynamics for large quantum systems: interactions, decoherence and inelastic effects

http://iopscience.iop.org/1367-2630/15/1/013014/

...nnected through a single electronic level (quantum dot or impurity). Coulomb interactions are either excluded **all**together or allowed on the dot only. We extend this basic model to emulate decohering and inelastic scattering processes for the dot ele...####
On the spectrum of superspheres

http://link.springer.com/content/pdf/10.1007%2FJHEP03%282015%29013

...Sigma models on coset superspaces, such as odd dimensional superspheres, play an important role in **physics**and in particular the AdS/CFT correspondence. In this work we apply recent general results on the spectrum of coset space models and on supergr...

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Cosmological models with Gurzadyan Xue dark energy

http://iopscience.iop.org/0264-9381/23/15/020/

... and deriving the cosmological equations for each case, we show that in **all**models source terms appear in the continuity equation. So, on one hand, GX models make up a rich set covering a lot of currently proposed models of dark energy; on the other ...####
Longitudinal wave band gaps in metamaterial based elastic rods containing multi degree of freedom resonators New Journal of **Physics**

http://iopscience.iop.org/1367-2630/14/3/033042/

...Wave propagation and vibration transmission in metamaterial-based elastic rods containing periodically attached multi-degree-of-freedom spring mass resonators are investigated. A methodology based on a combination of the spectral element (SE) method ...**Please let us know if you find something weird :-)**

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**Angular (radial) Velocity****Archimedes principle**- The upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.
**Basic Geometry: Area and Volume**- Surface area of torus
- Volume of torus
- Aread of spherical cap, depth d
- Volume of spherical cap, depth d
- Area of circle
- surface area of sphere
- Volume of sphere
- Perimeter of ellipse
- Area of ellipse
- Perimeter of circle
- Volume of ellipsoidc
- surface area of cylinder
- Volume of cylinder
- Area of circular cone d
- Volume of cone or pyramid
**Bessel Functions**- Kv(x)modified Bessel function of the second kind
- Spherical Bessel Functions
- Modified Bessel Functions
**Bohr model**- Quantisation condition
- Bohr radius
- Orbit radius
- Total energy
- Fine structure constant
- Hartree energy
- Rydberg constant
- Rydbergs formula
**Capacitance**- Capacitance
- Parallel plate capacitor; ε is the permittivity in farad per meter (F/m).
**Capacitor**- Current of capacitor
- Voltage of capacitor
- Voltage of capacitor
- Energy of capacitor
**Center of mass and laboratory systems**- s the total center of mass energy squared
- s the total center of mass energy squared
**Central or centripetal acceleration**- orbital velocity
**Charges in the Magnetic Field (Magnetism)**- Magnitude of the Magnetic Force on a Moving Charge
- Radius of the Circle Described by a Charged Particle Moving Perpendicular to a Magnetic Field
- Magnetic Force on a Current
- Magnetic Field Created by a Current
- Magnetic Force on a Moving Charge, also called lorentz force
**Cherenkov Effect**- Cherenkov Angle
- Frank-Tamm formula: total amount of energy radiated per unit lenght
- Frank-Tamm formula
**Commutators**- Commutator Definition
- Jacobi identity
- Distribution
- Association
**Compton Scattering****Crossing symmetry**- T_s the scattering dynamics of the process
**Curl**- Cylindrical coordinates
- Rectangular coordinates
- General orthogonal coordinates
- Spherical polar coordinates
**Current division**- Current division
**DC Circuits with Capacitor and Resistance**- two Resistors in Parallel
- Power Dissipated in a Resistor
- Heat Dissipated in a Resistor
- two Resistors in Series
- Stored Energy of a Capacitor
- two Capacitors in Series
- two Capacitors in Parallel
**Definition of Energy**- Energy is the ability of a system to perform work.
**Definition of Power****Definition of Work****Differential equations**- Laplace Operator in Spherical Coordinates
**Divergence**- Rectangular coordinates
- General orthogonal coordinates
- Cylindrical coordinates
- Spherical polar coordinates
**Doppler effect**- Sources at rest , observer moving at u
- Observer at rest, source moving at u
**Elastic scattering**- cosine of scattering angle
**Elasticity**- Young modulus
- Poison ratio
**Electromagnetic fields and force(Field relationships)**- Conservation of charge
- Magnetic vector potential
- (1)/(c^2) (del^2 A)/(delt^2)-grad^2A=mu_0J
- Expression for in terms of
- Expression for A in terms of J
- Electric field from
- Coulomb gauge condition
- Lorenz gauge condition
- Potential field equationsa
**Equations of movement**- movement with constant acceleration
- uniform movement
**Eulers Formula****Expectation value**- Expectation value
- Time dependence
- Relation to eigenfunctions
- then (:a:)=sum|c_n|^2 a_n
- Ehrenfests theorem
**Fluid dynamics of the Ideal fluid )**- Continuity equation
**Fluids and Solids**- Underwater Pressure
**Frames of reference (Galilean transformations)**- Time and positions
- Angular momentum
- Kinetic energy
**Gamma function****General Relativity**- Einsteins field equations
- Perfect Fluid
- Schwarzschild solution (exterior)
- Kerr solution (outside a spinning black hole)
- Geodesic equation
- Geodesic deviation
- Ricci tensor
- Einsteins tensor
- scalar , A contravariant vector , B covariant vector
- Riemann tensor
- Ricci Tensor
- Ricci Tensor
- , partial diff. w.r.t. X ; covariant diff. w.r.t X , scalar
- Line element
- Christoffel symbols and covariant differentiation
- Christoffel symbols
**Gravitation (Newtonian gravitation)**- Newtons law of gravitation
- Newtons field equations
- graviational potential
- Fields from an isolated uniform sphere, mass M, r from the center
**Hamiltonian Dynamics (Hamilton Formalism)**- Hamiltonian
- Hamiltonian Equations
- Hamiltonian of particle in external field
- Relativistic Hamiltonian of a charged particle
- Poison brackets
- Hamilton- Jacobi equation
**Ideal fluids**- Adiabatic lapse rate (ideal gas)
- Kelvin circulation
- Eulers equation
- Bernoullis equation for the incompressible flow
- Hydrostatics
**Inductor**- Current of inductor
- Energy of inductor
**Inequalities**- Triangle inequality
- Chebyshev inequality
- Cauchy inequality
- Schwarz inequality
**Interpretation of antiparticle-states**- charge density
- wave function
- charge density rule
**Joules law****Kirchhoffs Laws**- Kirchhoffs current law (KCL): The junction between several circuit elements is called a node
- The sum of the currents values at a node is zero.
- Kirchhoffs voltage law (KVL): The sum of voltages at a current loop is zero.
**Lagrangian dynamics**- Generalised momenta
- Euler-Lagrange
- Lagrangian of external field
- Relativistic Lagrangian of a charged particle
**Lagrangian of the Standard Model**- Electroweak term
- Quantum chromodynamics sector (QCD)
- relation between hypercharge, charge and isospin
- The Higgs mechanism, Spontaneous Symmetry Breaking, Higgs Field
- The Higgs mechanism, Spontaneous Symmetry Breaking
- The Higgs mechanism, Spontaneous Symmetry Breaking, Mass Term
- The Yukawa interaction terms are
- The Full Lagrangian (external link)
- Fermion fields (kinetic term of dirac fermions)
- Gauge fields, kinetic term
- Gauge fields, field strength tensor
**Legendre polynomials**- Legendre equation
- Rodrigues formula
**Lomb-Scargle Periodicity Test**- Definition of Tau
- Definition h_bar and sigma
- Normalized Lomb-Scargle Power
**Lorentz Transformations**- v velocity of S and S' , c speed of light
- p'xp'x x components of momentum in S and S'(sim.for y and z)
- t,t' time in frames S and S'
- transformation of time
- Lorentz factor
**Lorentz transformations**- v velocity of S and S' , c speed of light
- Differential four-vector
**Magnetostatics**- m in terms of the solid angle of a generating current loop
- Biot-Savart law (the field from a line current)
- Amperes law (differential form)
- Amperes law (integral form)
- Magnetic scalar potential
**Maxwells equations**- Differential form
- Differential form
- Faraday law of induction - differential form
- Differential form
**Maxwells equations (Integral form)****Momentum and energy transformations**- Four vector
- Momentum and energy
**Newtons first law**- An object that is at rest will stay at rest unless an external force acts upon it. An object that is in motion will not change its velocity unless an external force acts upon it.
**Newtons second law****Nuclear collisions**- Breit-Wigner formula
- Breit-Wigner formula, definition of the spin factor
- Total width
- Resonance lifetime
**Nuclear decay**- Geigers law
- Geiger_Nuttall rule
- Nuclear decay law
- Half-life and mean life
**Ohms law****Operators**- Hermitian conjugate operator
- Position operator
- Momentum operator
- Kinetic energy operator
- Hamiltonian operator
- Angular momentum operators
- hatL^2=hatL_x^2+hatL_y^2+hatL_z^2
- Parity operator
**Optics**- Frequency of an Electromagnetic Wave
- Law of Reflection
- Index of Refraction
- Snell’s Law
- Critical Angle for total reflection
- Focal Length for a Spherical Concave Mirror
- Mirror and Lens Equation
- Magnification
- Maxima for Single Slit Diffraction
- Minima for Single Slit Diffraction
**Orbital motion in gravitational potential**- Potential energy of interaction
**Parallel circuit rules****Particle decay**- the absolute value of the three-momenta
- constraints
- decay time (lifetime)
- general equation regarding p*p_i
**Particle motion (classical mechanics)**- Newtonian force
- Kinetic energy
- Angular momentum
- Couple (or torque)
- Centre of mass (ensemble of N particles)
**Pauli Matrices**- Pauli matrices
- i2 = -1 sigma3
- Cyclic permutation
- Anticommutation
- 1 2*2 unit matrix sigma2
**Pendulums**- Conical Pendulum
- Torsional pendulum
- Simple pendulum
**Permittivity**- Permittivity; ε0 is the permittivity in vacuum
- epsilon=epsilon_0*epsilon_
**Photo Effect**- Kmax is the maximum kinetic energy of an ejected photon
**Photon energy and momentum****Power series**- Binomial coefficient
- Binomial series
- Binomial Theorem
- Taylor series (about)c
- Taylor series (3-D)
- Maclaurin series
**Probability and Statistics**- Correlation coefficient
- Standard Deviation
- Pearsons Correlation Coefficient: Linear correlation between the variables x and y.
**Propagation of Light**- Relativistic Beaming
**Propagation of light**- Doppler effect
**Quadratic Equation**- Solution of the quadratic equation ax^2 + bx + c = 0
**Quadratic equations****Quantum physics and uncertainty relations**- De Broglie relation
- Planck-Einstein relation
- General uncertainty relation
- Momentum-position uncertainty relations
- Energy-time uncertainty relation
- Number-phase uncertainty relation
**Rayleigh Power****Relative velocity**- collider construction
**Relativistic dynamics**- Kinetic energy
- Total energy
- Lorentz factor
- Rest energy
**Relativistic kinematics**- covariant four-vector
- contravariant four-vector
- metric tensor
- Lorentz invariant
- proper time
- energy-momentum relation
- energy-momentum relation (Newtonian limit)
**Relativistic wave equations**- 1nn unit matrix
- Klein-Gordon equation (massive , spin zero particles)
- Weyl equations(massless , spin 1/2 particles)
- Dirac equation (massive, spin 1/2 particles)
- The Dirac Matrices
**Rocketry**- Escape velocity
- orbital velocity
**Scattering angle**- scattering angle Theta^**
- cosine of scattering angle
**Series circuit rules****Solid Angle**- solid angle of the spherical cap
**Solid angle**- Solid angle of a circle from a point on its axis, z from center
**Special Relativity**- E,E' energy in S and S' , m_0 (rest) mass
- Energy Momentum relation, p total momentum in S
- u'i u'i particle velocity components in frames S and S'
**Special relativity**- mass energy relation
**Static fields (Electrostatics)**- Electrostatic potential
- Potential difference
- Poissons Equation (free space)
- Point charge at r'
- Field from a charge distribution (free space)
**Static fields (electrostatics)**- Electrostatic force between two static charges: Coulombs law
**Statistical thermodynamics(Statistical entropy)**- Boltzmann formula
**Strength of the homogenous E-Field****The Harmonic Oscillator**- Schrodinger equation
- Energy levels
- Eigen functions
- Hermite polynomials
**The ideal gas**- Gay-Lussacs law
- Boyle-Mariottes law
- Amontons law
**Thermodynamic potentials**- Internal energy
- Helmholtz free energy
- Availability (differential)
- Gibbs free energy
- Grand potential
- Gibbs - Duhem relation
- Availability
**Two-particle scattering**- Lorentz invariants (Mandelstam Variables)
- The center of mass frame (Definition)
- center of mass frame (developped)
- Kallen function (triangle function)
**Unity Matrix****Vector integral transformations**- Greens second theorem
- Greens first theorem
- stokes theorem
- Gauss/gs(Divergence) theorem
**Velocity transformations****Voltage division**- Voltage division
**Wave speeds**- Phase speed
- Group speed
**Wavefunctions**- Probability density
- Particle stationary states
- Probability density current
- Schrodinger

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