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- Show that for all A,B Hint: ComputerComputable join is a term that is used in Mathematics. It is used when working with sequences and series. It is often used when comparing the values of these sequences or ranking them either i..
- Show that for both logistic regression for Bernoulli data and Poisson regression Hint: StatisticsThe Newton Raphson algorithm is used in statistics and programming to help in finding the best approximation for the root of any real-valued function. It uses the idea that any function whic..
- Show that for the diamond structure the Fourier component UG of the crystal Hint: ManagementPotential energy is the energy generated by the position of an object in relation to other objects. Potential energy is often related to restoring forces, such as springs or gravity. This wo..
- Show that I is an isomorphism, a bounded linear operator Hint: EngineeringAn isomorphism, is a preserving structure mapping among two structures which are of the similar type that might be reversed by mapping inversely. Isomorphic are two structures of mathematic..
- Show that if A and B do not have common eigenvalues, then A Hint: Mathematics"Eigenvalues, also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), appropriate values, or latent roots, are a specific set of scalars associated with a linear..
- Show that if a Hamiltonian is invarient under time reversal that the wavefunction Hint: Hamiltonian mechanics is a concept that was formulated in 1833 by William Hamilton. It is equivalent to Newton’s Law of Motion. It is applied in situations like bouncing a ball, swinging a pendulum, o..
- Show that if A is a denumerable set then A Z is denumerable as well Hint: Mathematics"A cardinality argument may be used to establish the theorem by counting the number of such polynomials and roots.The set Q[x] of polynomials over Q is countable because Set of Polynomials ..
- Show that if a m Hint: Mathematics"a) 2730=2×3×5×7×13 If gcd(n , 2) = 2 n13≡n(mod2) If gcd(n , 2) = 1, then by Fermat’s little theorema≡1(mod2) ⟹a12≡1(mod2) ⟹a13≡a(mod2) Thus in any case n13≡n(mod2)..
- Show that if the complement of a language, L C , is undecidable Hint: MathematicsA clique in graphs is defined as a subset of vertices of a graph that is undirected that is in an induced graph, it’s the most basic concept of graphical theory and was invented in the earl..
- Show that if the log-likelihood is a concave function of Hint: Economics" Gibbs sampling or a Gibbs sampler is a Markov chain Monte Carlo algorithm for obtaining a sequence of observations which are approximated from a specified multivariate probability dist..
- Show that if the Mach number upstream of a normal shock wave Hint: EngineeringMach number can be primarily used to define the approximation with which the flow can be treated as the incompressible flow. The medium can be the gas or the liquid. Mach number equation is..
- Show that if the phase velocity varies inversely with wavelength Hint: ScienceVelocity is the rate at which something moves in a specific direction. It requires both magnitude and direction to be defined. The velocity of an item moving east at 9 metres per second (9m/s) ..
- Show that if there are integers a, b such that ax Hint: MathematicsA composite number is a positive integer made up of two smaller positive numbers multiplied together.Composite numbers can be defined as whole numbers with more than two components, or equi..
- Show that if Y-InX follows a Gumbel distribution, then X follows a Fréchet distribution Hint: Statisticswhere μ is the location parameter and β is the scale parameter. The case where μ = 0 and β = 1 is called the standard Gumbel distribution. The equation for the standard Gumbel distribution (..
- Show that in general MLE is a function of the minimal sufficient statistics Hint: Statisticsa) Maximum likelihood estimation is a statistical technique for estimating the parameters of a probability distribution based on observed data. This is accomplished by maximizing a probabili..