bodner088

If I asked you for the sum of the integers from 1 to 100 inclusive, you could solve the problem by an easy formula [ref.: formula for the sum of an arithmetic series ]. But if I asked you for the product of all of the integers from 1 to 100 (or 100!, as this is written), if you didn't have a shortcut you'd come back to me 3 days and several gallons of Red Bull [I hate the stuff] later -- and odds are, if you did the calculation manually, you've introduced at least one error, which makes your result a study in 1 ) discipline and devotion; and 2 ) high unreliability. Happily, over the years, mathematicians have pondered this problem and found a formula to approximate the result. Note that the factorial formula is increasingly accurate as the amount of numbers multiplied grows, i.e., the formula would be rotten for calculating 10!, poor for 100!, passable for 1,000! and very darn close and useful for 10,000! Now "here", as the ignorami [a Lingovation of the highest...

We frequently need to de-stress, relax, clear our minds of chaotic debris, gain a fresh perspective and regain a fresh, energized creative perspective. Each of us needs a clean refresh and full emotional and psychological reset to be at his or her best If you are a follower or reader of The Braintenance Blog , I would suggest you bookmark this page , because you're going to use this meditation recording at least three times a day - and if your need it, perhaps a fourth or fifth time. The recording takes less than 10 minutes each time, but its effects are amazing -- and you can listen to it without headphones, antennae or an aluminum foil hat in the quiet of your home or office.Consider it to be a quick sanity kit. Rid your weary mind of burdensome anxiety or the fugue state induced by the upcoming year-end audit, guessing at your bonus, pre-holiday Christmas gift panic, Black Friday, Cyber Monday , Return-That-Junk Tuesday [a Lingovation], the blues, the blahs, the feeling of...

Oxymorons are self-conflicting or self-cancelling combinations of words. They are often humorous, brief, thought-provoking (associatively) and memorable. They also help stimulate our mind's ability to freely associate and visualize with greater speed and clarity. They stimulate imagination and creativity. What's more, they're great fun at parties. We've all heard these: JUMBO SHRIMP, AUTHENTIC REPLICA, MILITARY INTELLIGENCE, HELPFUL CIVIL SERVANT and THE WAR ON TERRORISM (more obscure, but a bit more through-provoking in terms of semantics and shades of meaning). With the following list, read each one aloud in your mind , and when you've finished, visualize the conflicting physical images . Then : 1 ) See how many of them you can easily remember; 2 ) See how many you can remember in the sequence in which they are presented. Incidentally, this is my collection of the best of the worst of these creatures: Stretch those neurons....let them reach out and touch one anoth...

We can all safely admit (even to ourselves, if we are not in a confessional or a crowded subway car ) that doing arithmetic computations with eyes closed, from memory and using sheer brain power is a challenge, but one that is a worthwhile undertaking. Here are the answers, as well as some observations, regarding the last posting . That makes this post, which are reading, a post-post posting. Or worse, it could be considered a commentary on a past posting . Alliteration and irony combined tend to produce an excess of spittle...an effect which I enjoy witnessing in others but which I try to avoid inadvertantly engaging in myself. --------------- The following embedded image (although the subject appears wide awake), exemplifies irony: It's now back to the exercise with some answers in RED . Here's a new set of operations to work on in the same manner as you did on the previous set, except that now we will use multiplication and division. Never mind about your third-grade teac...