Question 1: Mathematically, the derivatives of the Gaussian function can be represented using ________.  

Question 2: The molecular orbitals used in computational chemistry can be linear combinations of Gaussian functions called Gaussian orbitals (see also ________).  

Question 3:
What does the following picture show?



Question 4: A Gaussian function is the wave function of the ground state of the ________.  

Question 5: The convolution of a function with a Gaussian is also known as a ________.  

Question 6: In statistics and probability theory, Gaussian functions appear as the density function of the normal distribution, which is a limiting probability distribution of complicated sums, according to the ________.  

Question 7: Specifically, derivatives of Gaussians (________) are used as a basis for defining a large number of types of visual operations.  

Question 8: The product of two Gaussian functions is not^{[citation needed]} a Gaussian, and the ________ of two Gaussian functions is again a Gaussian.  

Question 9: ________ are used in optical and microwave systems.  

Question 10: The Gaussian functions are thus those functions whose ________ is a quadratic function.  

