What does the Bible say about being in darkness?

Darkness is not a barrier to God. Psalm 139:12 describes God’s response to darkness: “Indeed, the darkness shall not hide from You, But the night shines as the day; The darkness and the light are both alike to You.” We travel through the darkness of doubt and learn that the Holy Spirit is the source of truth and faith.

What is the difference between Euclidean and Hilbert space?

The subspace M is said to be closed if it contains all its limit points; i.e., every sequence of elements of M that is Cauchy for the H-norm, converges to an element of M. In a Euclidean space every subspace is closed but in a Hilbert space this is not the case.

What’s lying underneath everyday reality?

NARRATOR: Lying just beneath everyday reality is a breathtaking world, where much of what we perceive about the universe is wrong. Physicist and best-selling author Brian Greene takes you on a journey that bends the rules of human experience. BRIAN GREENE (Columbia University): Why don’t we ever see events unfold in reverse order?

Is the multiverse the end of our picture of the cosmos?

BRIAN GREENE: However unfamiliar and strange the multiverse might seem, a growing number of scientists think it may be the final step in a long line of radical revisions to our picture of the cosmos. That is, there was a time when we thought that the earth was at the center of the cosmos, and that everything else revolved around us.

Is every finite dimensional subspace of a Hilbert space closed?

Every finite dimensional subspace of a Hilbert space H is closed. For example, if Mdenotes the span of finitely many elements x1,….xNin H, then the set M of all possiblelinear combinations of these elements is finite dimensional (of dimension N), hence it isclosed in H. Let M denote a subspace of Hilbert space H and let M denote theorthogonal