fun math quiz 20220502

Every non-zero vector is an eigenvector of the identity matrix with eigenvalue _____.

What is an invertible matrix is another matrix which on multiplication with the given matrix results in an identity matrix?

What can be thought of as a converter which receives at least one input value and returns only one output value?

Can you tell that In NM Dev, which class implements the Newton-Raphson root-finding algorithm?

A system of linear equations is a set of equations with more than one _________variable.

The highest degree of the variables inside a nonlinear equation is higher than____________

Which amongst the following interpolation do you think creates a continuous straight line for the data set by connecting the data points in the data set?

An estimation data between the gap can be made by using the_______

The numerical integration formulas are also called as ___________formula.

The Exponential transformation is good for when the lower limit is finite, the upper limit is infinite and the integral falls off exponentially.

What are the basic types of differential equations?

The _______ Derivative Function is also called as the Euler integral of the first kind.

A Partial Differential Equation is a differential equation containing partial derivatives of the dependent variable (one or more) with more than one independent variable.

What are the types of first order PDEs

a]linear first-order

b]semi-linear

c]quasi-linear

How does Zangwill’s algorithm eliminates disadvantages of Powell’s algorithm?

______________optimization minimizes or maximizes an objective function that depends on variables or sets or variables with no restriction on their values.

Sample kurtosis is a measure of the _________of the probability distribution.

What are quantitative measures related to the shape of the function’s graph.

In probability and statistics, the waiting time before the occurrence of an event is said to follow Exponential Distribution if_________.

An event with ____________probability is represented by a Poisson distribution in which independent events occur at a known rate and occur in a fixed interval of time.

Common Random numbers are used to implement?

A recurrence relation is a way of expressing each element of a sequence as a function of the_______

Types of non stationary process

a] Pure Random walk

b] Random walk with drift

c] Deterministic trend

d] Random Walk with Drift and Deterministic Trend

What is the  fundamental building block of any time series?

Which algorithm builds a decision on two metrics: Entropy and Information Gain?

What represents the set of all hypotheses, consistent with the observed training examples.

Self-Organizing Maps was developed as a neural network technique for dimensionality reduction and to act as a ____________algorithm. 

What are the basic building blocks in a neural network?