Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Friday, June 12, 2026

Number Mad

I moved to New York in 1976. In a stolen car. Not really stolen, but a Newton, Mass. lawyer paid $300 to vanish his gas-guzzler. I drove the Olds 88 on the West Side Highway on Manhattan, took off the plates, threw them into the Hudson, and walked away from the vehicle. Easy same as the previous times for other men wanting to rid themselves of a big car. I took the subway to Brooklyn Heights. I was in love with a painter from Pittsburgh. I knocked on Ro's door and was greeted by her ex-lover.

Bix had the look of a hillbilly. Lanky, sallow, and sad. Ro had told me that she had never kissed him, but she liked having sex with him. He was gentle. That information had made me sad too, but not as much as his news that evening.

"She's gone to Paris. To study art. She left on a jet plane."

"Gone?" I understood the word even more saying it again.

"Don't know when she'll be back again." Bix tended to talk in liners from Beatles songs. His other trait was to scribble numbers. He was fixated by them. His hand held a scrunched up paper scrawled with thousands of numbers. They weren't a mathematical equation. Only random numbers. He was mad. His madness had nothing to do with Ro not kissing him.

"Thanks." It was late and I had no place to stay.

"You can sleep here." He held the door open wide.

"Okay." I stayed awake all night in Ro's bed. So did Bix. He sat at the kitchen table writing down numbers. With a pencil. He should have been in a hospital. In the morning I said good-bye. I knew of a cheap hotel on West 11th Street and 5th Avenue. A dump with a good address.

"Are you going to be alright?"

"Sure, no problems." He didn't even lift his head from his task.

A year later he was found dead in a cave located among the bare winter trees of Fort Tryon Park. The police said the stones around his last home were covered with numbers. None of them made sense.

Not like 1 + 1 = 2, however today is a special day. At 12hr 34 minutes and 56 seconds on the 7th of August this year (today), the time and date will be 12:34:56 07/08/09. 1-2-3-4-5-6-7-8-9; note it, enjoy it, as it will never happen in your lifetime again.

Some numbers are not for the mad.

Saturday, July 20, 2024

1 + 1 = 2 Circa 1972

The simple addition of 1 + 1 is the first math learned by children. Addition is followed by subtraction, division, and multiplication. The nuns at Our Lady of the Foothills believed in the power of rote education and each student was expected to memorize the math tables from 1 to 12. Fingers and toes aided the learning process. They were the only calculator available to students in the early 60s.

Progress was measured by perfection in reciting the math tables. Mistakes were rectified by a sharp rap of the knuckles to the boys. The girls were threatened with harsh words. Kyla Rolla and I competed for top honors from 6th to 8th grades. I won a scholarship to an all-boys high school run by brothers. My score in the diocesan math contest was 2nd best. Kyla was # 1, but she refused her reward.

Eight years of nuns had been more enough for her and she opted to attend the town high school. My request to join Kyla. It was rejected by my mother. She had hopes that I might be a priest. My father didn’t care either way as long as I received a good education. He was an electrical engineer for New England Telephone and agreed with the United Negro College fund commercial that a mind was a terrible thing to waste.

My prowess in math seemed a fluke throughout high school. My grades in Algebra, Geometry, and Calculus were mediocre, but I surprised my teachers and parents with a high math mark in the SATs for college entrance. A Boston Catholic college granted me early acceptance as a math major. My classmates wore thick glasses. None of them played sports. I was cursed as a geek. Kyla Rolla knew better. She was the best cheerleader at the town school. We were going steady. To her I was never a geek.

Four years on top of six grammar school years had exhausted my tolerance for religious education. I had been an atheist since age eight. It was time to quit pretending to believe in God.

I didn’t feel ready for college and asked my mother to sign papers to join the Marines. I was a seventeen year-old senior in April of 1970. She tore up my enlistment papers. Without her consent I was stuck in my hometown, which was even a worse fate than having to study math for the rest of my life.

If I wasn't going to be a priest, she was determined that I would be Isaac Newton. He had discovered gravity under an apple tree and she baked a great apple pie. Everything in the universe was linked by synchronicity.

"You're going to college.” My mother's edict was final. She chose the school. Kyla and I broke up after she heard about my next step into Catholic education. Her last words to me were 'momma’s boy'.

Who was I to defy my mother?

Not having a scholarship I supported myself as a taxi driver. My early Calculus classes started at 9. I finished driving at 2am. There weren't enough hours from the time I fell asleep till the alarm clock rang at 8am for a proper night’s rest. My grades suffered from the exhaustion and pot smoking. I scrapped through freshman year with Cs. I wasn’t so lucky in 1971.

My professor in Multivariable Algebra was a genius. The bald forty-five year-old in a soiled suit calculated missile trajectories in his head. Professor Rene Marcuse had a permanent slouch from drawing formulae on a chalkboard. His shirt cuffs were covered with ink integers.

Air Force officers sat in his class. The young men in uniform were missile acolytes from SAC. They dreamed of nuclear war and Mutual All-Out Destruction. I was a hippie peacenik. We had nothing in common other than a desire for the professor’s daughter. The skinny brunette was cute for an egghead. We smoked pot together. The soldiers had no chance, but neither did I.

Renee was in love with abstract mathematics. Her parents expected her to transfer to MIT. Both colleges were close to home, but here the tuition was free thanks to her father's position at the college.

That autumn I devoted more time to driving taxi and demonstrating against the war than classes. My grades suffered across the board. After mid-terms I attended one math class. It was a recipe for failure and I showed up at the final with no knowledge of Linear Algebra.

"Where have you been, Mr. Smith?" The professor was surprised to see me.

"I’ve been busy.” The other students snickered at my appearance. I had no scholarship and was forced to work nights double behind the wheel of a Checker Cab. My eyes were as red as deviled ham.

"I thought you withdrew from the class.”

“Withdrew?" This was a new concept.

"Yes, when you feel challenged by a course, you withdraw, but it's a little too late for that. Have you even read the book?"

It had a blue cover.

"A few times this week."

The professor motioned for me to to approach him.

"And you still want to take the test?" His voice was low. "I’ve seen your record. You're failing German."

"Ich weiss." My stutter had trouble with German and even more trouble with speaking with my superiors in English. "I was failing. After yesterday's test I have a D+."

"Why do you insist on taking such difficult courses?"

"Ich weiss nichts." I mostly did what people wanted me to do.

"I don’t know isn’t an answer."

"I still want to take the test."

"Why?"

"To find out if my reading the book three times was enough to score a passing grade."

"That would be a miracle, because no one reads the book."

"Why not?" I had read it three times in the taxi. It had a plot about the mist of mathematical mystery. The ending was meant to be clarity. I still saw the fog.

"Because it's unreadable."

"No, it's poetry to decipher by segments Math is poetry. If you don’t hear the poetry, you don't hear the music." Bob Dylan was my first poet. GATES OF EDEN was on the flip side of LIKE A ROLLING STONE. Neither song mentioned math. "Let me take the test. I bet I can score a 50."

"That's still a failing grade and if you also fail German you'll be thrown out of college and drafted into the Army."

"I'll enlist in the Marines."

"The Marines." The professor looked over my shoulder at the Air Force officers. "Why?"

"Not to fight for my country or the flag or democracy, but just to get out of my hometown and see the world, even if bullets were my welcome to Viet-Nam."

"How bad can it be here?"

"You don't wanted to know." Boston was a racist city. I fought my old schoolmates constantly. They considered me a 'race traitor'.

I tell you what, if you get a 50, I'll give you a C+."

"It's a deal." I took a test book from the professor. His daughter smiled at me. The Air Force officers in the class sneered at me, as if they suspected I had a low draft status. They were right. My SSS # 96, which added up to 15 and then again 5, which had to be a lucky # somewhere in the world.

The exam lasted two hours. I answered every question from the shreds of my memory. I fabricated a formula proving the speed of light wasn't an absolute in a universe of infinite possibilities. The bell rang to terminate the test and I handed my paper to the professor. His daughter and I walked into the corridor. Hundreds of students filed from other classrooms.

"How you think you did?" Renee had a sweet voice. We had never kissed other than to shotgun a joint. She smelled of patchouli.

"As good as anyone who never attended class." I hoped my formula would save me from expulsion. Christmas was around the corner and while I didn't believe in God, I always hold a place in my heart for Santa Claus. "What about smoking some weed."

"All my tests are done." Renee shrugged with satisfaction. She was a straight A student.

"Mine too."

We left the college and boarded the trolly at Chestnut Hill. We got off in front of Concannon and Sennett's. The bar had pinball, Mexican food, quarter beers, and a bar painting of a naked woman riding a pink elephant. Most of my friends were celebrating the end of exams. I drank with Renee. She didn't comment about my expression. I felt like I had buried my puppy.

"Don't worry. Everything will be all right."

"Yes, tomorrow is another day." I ordered two more beers.

After seven 'Gansetts there was no more tomorrow, until I woke up in Renee’s bed. The covers were soft. Snow was falling outside the window. A cold draft was seeping through a gap. We were two warm bodies, but neither of us should have been naked.

I remembered her saying something about living with her parents. Teddy bears were lined against the wall. Posters of the Jefferson Airplane were nailed to the wall. This was no dorm. It was the professor's house. I poked Renee's arm.

"What?" She snuggled into me with a feline purr.

"Are we at your parents' house?"

"Yes, but they"re cool with me having friends over." Her breasts were soft as marshmallow.

"Are they downstairs?"

“Yes, and my mother will make you breakfast if you want.”

"That’s very cool, but I'm not that cool." I slipped out of bed and picked up my clothing. “Would you mind if I left by the window."

“It’s the third floor.”

“I was a long-jumper in high school.” 19 feet 3 inches had been my personal best, but that leap was horizontal and not a dead drop from 15 feet, then again I didn't believe in the absolutism of gravity. "I'll call you later. We can meet at Concannon's. This time we go to my place."

"Do what you want?" She was happy either way and I jumped from the window into the branches of a pine. They slowed my descent and I stuck the ground with my feet. I tasted copper in my teeth like someone had bastinadoed my toes.

"Nice landing."

"They are all are if you can walk away from them." I struggled to not limp through the snow. I ducked under the kitchen window. The professor was speaking with his wife. He yelled for Renee. I ran into the woods and caught a taxi to my cold-water apartment in Bug Village. There was no passing that exam or German. I was heading to boot camp at Camp Lejeune.

Results for the exam were posted a week before Christmas. Somehow I had passed German with a C+. The professor like my cosmic take on Kafka's DAS URTEIL and accusation that cockroaches were a secret word for Nazi.

Renee and I approached her father's office. The test results of Linear Algebra were tacked to a corkboard. Professor Rene stood at the door. His daughter squeezed my hand. Her score was at the top of the list. Mine was at the bottom.

15 was a long way from 50.

"Oh, oh."

"I'll speak to my father."

"Don't bother. My fate is my fate. I'll see you at my place."

She kissed me on the cheek. I was getting used to patchouli. The professor said, “Enter.”

I followed him inside and he sat at a desk piled with official papers. Each was marked TOP-SECRET. Renee’s father covered them with a book on Experimental Dimensionalism. I would not be reading it in Vietnam.

"Yes?"

"I just wanted to thank you for letting me take that test."

"Why so?"

"It proved that I don't belong in Math or college."

"You're only partially right about the first, but not the second. Your treatise of Einstein not taking into account hod rod speeders was very amusing as well as the premise that the speed of light only pertains to the speed of light."

"Infinity opens up the highway."

"If I gave you a passing grade in this course, would you drop your Math major?"

"Don't bother. My fate is my fate." "I never said anything about us. I'll see you at my place."

She kissed me on the cheek. I was getting used to patchouli. The professor said, “Enter.”

I followed him inside and he sat at a desk piled with official papers. Each was marked TOP-SECRET. Renee’s father covered them with a book on Experimental Dimensionalism. I would not be reading it in Vietnam.

"Yes?"

"I just wanted to thank you for letting me take that test."

"Why so?"

"It proved that I don't belong in Math or college."

"You're only partially right about the first, but not the second. Your treatise of Einstein not taking into account hod rod speeders was very amusing as well as the premise that the speed of light only pertains to the speed of light."

"Infinity opens up the highway."

"By the way that was quite a jump from Renee's window."

"The trees broken my fall."

"So if I gave you a passing grade in this course, would you drop your Math major?"

“In a heartbeat.” I shook his hand with elation pounding through my heart. Vietnam was on the other side of the world. Renee was waiting at my apartment. She was into me for the holidays. Next semester she transferred to MIT. I changed my major to economics and minored in history. My grades improved, but not enough to graduate with honors.

1972 was the end of my math career and I haven't opened a math book since then, although I have learned that western man didn’t come up with the concept of zero until well into the Second Millennium, while the Mayans always had zero or Pohp for their 20-based numeral system.

Still I don't have to use my fingers for long math and neither does man's best friend.

"If you think dogs can't count, try putting three dog biscuits in your pocket and then giving Fido only two of them." Phil Pastoret.

Arf Arf Arf equals three, especially when 1 + 1 = 2.

In the end everything is just simple math.

Friday, December 10, 2021

Linear Algebra 101

Back in the 1960s most New Englanders' were loss at sea when asked to count beyond ten on their fingers. Multiplication and long division flummoxed college students. Calculus was the Black Plague, but I loved the intercourse between numbers and in 1966 I was awarded a scholarship to Xaverian Brothers High School on strength of my test score.

My father was an electrical engineer had been told by the Priests that they suspected that I might have cheated on the exam in which I scored an A+. Upon hearing my historical discourse on Ptolemy calculations, Archimedes' method of exhaustion, and Newton's errors on Gravity as well my problems with Einstein's Theory of Relativity my father was astounded by my knowledge, especially since I suffered from what was much later diagnosed as dyslexia.

"Why do you think Einstein was wrong?"

"Einstein calculated the speed of light as 186,000 MPS or miles per seconds. Do you drive 55 on the Expressway? No, so there is no speed limit. Not for your Oldsmobile or Light."

"Nothing?"

"Nothing, other than my love of Math."

Poetry was Math. This magic recreated time and shifted through a billion formalae seeking an ultimate truth.

E=MC squared equal 2.

That autumn I was placed in Xaverian's advanced Math program.

My grades hovered around B. My parents considered me an under-achiever. I strived to prove them wrong without success, yet I won a Math half-scholarship to a college based on my belief in Time, which saved me from tragic addition and subtraction of Vietnam.

Math as a major in college was a big mistake, since at night I drove taxi to finance my studies. I missed my 9am Multivariable Calculus class with regularity, however I aced my final and advanced to study Linear Algebra under Rene Marcus, a famed genius of telemetry, whom the Pentagon paid big money for his skill to mentally calculate missile attacks on Russia without a slide ruler.

NPR manufactured the first calculator in 1967. None existed in the marketplace until 1974, which then was sold by NPR for $170. Only the rich could afford that price.

On the first day of class I sat at my desk with a thin book for Linear Algebra, a pencil, and paper notebook. The text on flat differential geometry obtusely explaining the electromagnetic symmetries of space-time was as dense as Osmium. I read it in a day with Pene's daughter and invited her to the Phoenix Bar. As we played pinball, she asked,"Do you understand the importance of Linear Algebra."

"Only that it supports the Universe existence with lines, planes and rotations through complex functions."

"And you disagree?"

"I am not smart enough to argue its importance.

Rene's daughter had heard my beliefs on Time. She believed in Einstein's Theory of Relativity, while I argued that time wasn't not constrained by rules and I reiterated, "There are no speed limits on an empty highway."

"That means nothing."

"And nothing means much in Math and in life."

She laughed and said, "You are a fool."

"You are right about that."

That Fall I attended only four classes.

Four, which was two times two, the second prime number.

In December I arrived at the final and Professor Marcus pulled me to the side. The rest of the class stared at me as a stranger and the professor said, "You shouldn't be here. You might be my daughter's friend."

"Just friends."

"Either way that will not influence my grading you."

"I wouldn't expect anything else."

"You haven't been in class more than three times."

"Actually four times."

"Three or four. What the difference?"

"Three is a prime number."

"And what is the important of numbers."

"Numbers will never betray the ignorance, but will trap anyone else by their honesty."

"Do you really think you can pass this test?"

"Truthfully I suspect no is the right answer."

"Then what are you trying to achieve?"

"The impossible. Give me a test paper and let me place my hand on the textbook for ten seconds." I understood the value of a hand on a book.

"And this will help?" Mathematicians only believed in numbers.

"It can't hurt."

The professor held out the book. My hand touched the cover. My palm read nothing. I was fucked. If I failed this course, I might end up in Vietnam. I took the test. My score was 45. The whorls on my flesh were very sensitive. Rene was amazed by my idiot-savantism.

"I thought you'd get nothing right."

"I still failed."

"Yes, but if you drop out from Math, I'll give you a D+"

"It's a deal."I accepted his offer and dealt with my parents' disappointment.

"What will you study now?" asked my father.

"I don't know."

"Can't you plan for the future?"

"Not now."

"You fail next time and you'll end up in Vietnam."

"I know." The War was a meat grinder and I was no John Wayne. My new major was economics. I graduated sine laude or without praise in 1974. Nixon had pulled out most of our troops. I was safe and that summer I drove cross-country with my good friend AK to celebrate the end of my education.

It was a great trip and I haven't opened a math book since 1972, although I have learned that western man had no concept of zero until well until the end of the Middle Ages, while the Mayans always had zero or Pohp for their 20-based numeral system.

Presently I don't use my fingers for long math, but if you think you're smart just remember the words of Phil Pastoret.

"If you think dogs can't count, try putting three dog biscuits in your pocket and then giving Fido only two of them."

Arf Arf Arf equals three.

And three is a prime number

Sunday, August 9, 2015

More Bad Math


The other night Ma'am called from Thailand. I was sitting at Frank's Bar on Fulton. the football game on the tiny TV was a distraction along with Rosa the svelte Vietnamese homegirl bartender. Before opening my flip phone I told everyone to be quiet. They knew my story and concentrated on their drinks.

"Mai mii daeng." Wife # 2 was broke.

"I'll head down to Western Union." Money went fast with four kids like I was an NGO for the Buddha Foundation, but I knew the mah weell before I had my first child. My mother raised six kids on my father's single salary.

"If you not want go. Not go. I mother. I take care babies."

"Hoop barg, tilat." Telling a woman to shut up was never a good idea unless they wanted money were are 9000 miles distant. "I'm going."

I hung up and signaled everyone at Frank's to resume their conversations. Most of it was about Brooke Shields selling eyeglass lengthener.

"It's no good for you and you get raccoon eyes." One elderly lady laughed, but Rosa checked the mirror for the length on hers. Her eyes fluttered and she smiled at us. I ordered another beer. Beauty was a beast and no math will tame its soul.