Corollary example. Roosevelt Corollary 2022-10-07
A corollary is a statement that follows logically from a previously proven statement. It is a direct consequence of a previously proven theorem or lemma and can be seen as a simplified version of the original theorem.
For example, consider the statement "If a triangle has two sides of equal length, then it must be an isosceles triangle." This statement is a theorem that has been proven through logical reasoning.
Now consider the statement "If a triangle has two angles of equal measure, then it must be an isosceles triangle." This statement is a corollary of the original theorem, as it can be proven through logical reasoning based on the original theorem.
In other words, the second statement is a direct consequence of the first statement and can be seen as a simplified version of the original theorem.
Corollaries can be very useful in mathematics and other fields, as they allow us to derive new conclusions from previously proven statements without having to go through the entire proof process again. This can save a lot of time and effort, and helps to simplify complex ideas.
For example, consider the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem can be used to derive a number of corollaries, such as the fact that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse.
In conclusion, a corollary is a statement that follows logically from a previously proven statement and can be seen as a simplified version of the original theorem. Corollaries can be very useful in mathematics and other fields, as they allow us to derive new conclusions from previously proven statements without having to go through the entire proof process again.
Corollary Definition (Illustrated Mathematics Dictionary)
As a corollary, it should be clear that parties and arbitrators are in no way obligated to follow any of the techniques. This leads to the corollary concerning the lateral area of the frustum of a regular pyramid. A permeable construct allows new elements to penetrate or be admitted to the range of convenience. This theorem gave, as a corollary, the complete structure of all finite projective geometries. If you look at an object with spirals are three-dimensional shaping, the eyes can make it seem like the item seen is moving. What is the difference between a theorem and a corollary? Show More Sentences In support of this proposition, three corollary arguments are presented.
How to use "corollary" in a sentence
Show More Sentences The question for us today is how we can create reproductions of knowledge that will guarantee optimal knowledge and, as a corollary, what do we consider optimal knowledge in contemporary processes. This is the movement of an image which can stimulate the receptors which are placed across the retinal. Her goal is to help women achieve healthy and long-lasting marriages, although the corollary implication is that women are responsible for failed relationships. The undesirable corollary of overspecialization is overcentralization. To the extent that constructs are permeable they are subject to change through experience.
Corollary Discharge Theory Explained
If, on the contrary, we must hold that man is essentially related to what the same writer calls "a common nature," then it is a legitimate corollary that in man as intelligence we ought to find the key of the whole fabric. As a corollary, corridors of suitable habitat should reduce patch isolation, thereby decreasing species loss and enhancing colonization. What is corollary in mathematics? In this instance, an image movement signal is not generated because you are staying focused on your target. How do we perceive items in a room as being stationary, even if we are scanning the room and the images we receive are moving? Europe had sinned in the face of God; otherwise Jerusalem would never have fallen; and the idea of a spiritual reform from within, as the necessary corollary and accompaniment of the expedition of Christianity without, breathes in some of the papal letters, just as, during the conciliar movement, the causa reformationis was blended with the causa unionis. The triumph of the funding system and its corollary of perpetual debt is undeniable. There is a preferred direction that the neurons travel, so any series of images which follows that preferred direction will cause a perception of motion.
Corollary: In a Sentence
A corollary of this is that, before Hipparchus, astronomical tables based on Greek geometrical methods did not exist. The Captain acceded to my postulate, and accepted my friend as a corollary. It is also difficult to ascertain the meaning of idiom phrases because they may only be experienced within the language you're speaking. A corollary of Francis's devotion to humility was his distrust of book learning. A conscript army was considered the corollary of a democratic society. This procedure, whereby a woman may end her marriage simply because she wishes to do so, has its corollary in the option which men are given of severing the marriage bond unilaterally. What is a synonym for corollary? How You Can Test the Corollary Discharge Theory There are four different ways that you can experience the effects of corollary discharge.
Corollary in a Sentence
The corollary discharge theory shows us that eye movements and what is being seen are directly related to each other. He received the Noble Peace Prize when he brokered the Treaty of Portsmouth 1905 , which concluded the Russo-Japanese War 1904-1905. Our concern lies with the first kind of Crusade, and with the other three only so far as they bear on the first, and as they illustrate the immense widening which the term "Crusade" now underwent - a widening accompanied by its inevitable corollary of shallowness of motive and degradation of impulse. That is what causes you to move your eyes toward the right to begin looking at the view. They no not respond if the eyes of the money move. The relationships among constructs are usually more enduring than the specific constructs themselves, but they, too, are open to change. This organization allows us to minimize incompatible constructs.
Kelly's personal construct theory and the 11 corollaries
He pointed out that people differ from one another in how they perceive or interpret an event. In contrast, an older form of colonialism usually relied on direct power, such as the military, to impose its dominance in foreign territories. The exercise of that right, which is a corollary of the right of every human being to education, begins at school. Especially, when idioms are used in context as part of speaking. We expand them as we meet new places or get in new situations.
In mathematics, a corollary is a theorem connected by a short proof to an existing theorem. Show More Sentences The corollary then would be that the rest are simply dreamers, but what's wrong with providing readers with material to feed those dreams? This idea has as its corollary the possibility of ritually enacting the cosmic drama and, thus, of influencing those events in the cosmos that continuously affect human weal and woe. As a corollary, all Charter protections that are relevant in the criminal context must apply. The first corollary to this rule addresses those products which, during the modification process, may introduce back into the body a foreign substance in a potentially dangerous concentration. Just as we note similarities among people or events, we must also account for dissimilarities.
Use corollary in a sentence
Security as a result became a thing of the past, and as a corollary, abscondences rose dramatically. He believed that humans can interpret behaviors and events and use that understanding to guide their behavior and predict the behavior of others. At the same time, a signal is being sent to the eye muscles so that they can continue to track the bird as it is flying. A corollary, in the general sense, is a natural consequence or result. The corollary to this — reason two and a half — is the current of self-flattery that runs through the Jew-as-anxiety-hero trope.
As a corollary, French culture, and especially the French language, should come to be taught more widely in our country. According to the corollary above, the space curve can be researched in plane which is simplified. Bay of Pigs and the Cuban Missile Crisis The Cuban Missile Crisis took place in October 1962. This relationship deteriorated, in part, because of American meddling in the internal affairs of foreign countries in the region. Some aspects of a situation will be similar to those experienced earlier. Divorce proceedings were instituted with the inevitable claims for corollary relief including of course for equalization of the net family properties. One corollary is a reduction in potentially problematic voyeurism that often accompanies images of vulnerability.