What evidence of reform do you see in Ignatius's rules for "thinking with the church"?

(a) To open a combination lock you must know the lock's three-number sequence in its proper order. Repetition of numbers is permitted. Why is this lock more like a permutation lock than a combination lock? Why is it not a true permutation problem? (b) Assuming that a combination lock has 40 numbers, determine how many different three-number arrangements are possible if repetition of numbers is allowed. (c) Answer the question in part (b) if repetition is not allowed.

Luther and Zwingli could not agree. What political and religious consequences could result from disagreement among Reformation leaders?

What is a "dividend return" and a "capital gain," and how do these terms enter the arbitrage equation when it is written in percentages?

Religious civil wars influenced by political implications (A) were not common during the sixteenth century. (B) were best exemplified by the Habsburg leadership against Catholic unity during the sixteenth century. (C) were best exemplified by the French Wars of Religion during the sixteenth century. (D) became even more commonplace after the Peace of Westphalia.

Find the zeros of each function. State the multiplicity of multiple zeros. $y=3 x^{3}-3 x$

Look at Luther's criticisms of the church. How did his criticisms directly threaten the church's power?

Why would England feel threatened by Spanish territory in the Netherlands?

Recall the projection matrix

$$P = A \left( A ^ { T } A \right) ^ { - 1 } A ^ { T }$$

associated with the least squares approximation technique. Assume that A is an

$$m \times n$$

matrix. (a) What is the size of P? (b) Show that PA = A and

$$P ^ { 2 } = P.$$

(c) Show that P is a symmetric matrix.

How typical do you think Zell's experience was?

Why are solid particles required for cloud formation?

Find the next number, computation or figure, as appropriate.

$$0, 5, 10, 15, ?$$

Sketch a figure that shows each of the following. Three coplanar lines that intersect in three different points

How do science and technology differ?