NEW FOOTAGE OF JIMOTHY

Whatever Jimothy did last night must have been legendary.

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$ETH just hit a 50-day high of $1,950

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Gradient, jacobian, and hessian are really answering three different questions about a function. the gradient asks, “which direction should i move to increase this value the fastest?” the jacobian asks, “if i change the inputs a little, how do all the outputs change?” the hessian goes one level deeper and asks, “how is that direction itself changing?” once you see them as different layers of information instead of different equations, the notation becomes much less intimidating.

imagine you’re hiking up a mountain. the gradient points toward the steepest path uphill. now imagine the mountain itself is constantly changing shape as you walk. the hessian tells you whether the surface is flattening out, becoming steeper, or curving in another direction. the jacobian is slightly different. instead of a single mountain, imagine a machine with many knobs and many outputs. the jacobian tells you how every output responds when you turn each knob. it is the local map between inputs and outputs.

this is why these three ideas appear everywhere in robotics, optimization, computer vision, and machine learning. gradient descent uses the gradient to decide where to move. robot kinematics uses the jacobian to convert joint motion into end effector motion. second order optimization uses the hessian to understand curvature and converge faster. they are not separate mathematical tricks. they are different ways of asking how a system changes, and change is ultimately what engineering is trying to understand.

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ETH is pumping hard against Bitcoin.

Bullish sign for alts.

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JUST IN: Burkina Faso leader Ibrahim Traoré says he will "never allow" Sharia law in the country

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NOW - Trump attends the dignified transfer of the four American soldiers killed in the Middle East.

1st Lt. Tyler Feehan

Sgt. Michael Swinton

Sgt. Angel Rampersad

Pvt. Isabella Gonzales

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BREAKING: Bitcoin ETFs attracted +$900 million in inflows last week, the largest weekly inflow since early May.

This marks a sharp acceleration from +$197 million in inflows in the prior week.

The largest Bitcoin ETF, $IBIT, led the surge, attracting +$193 million last week, after bringing in +$282 million the week before.

Subsequently, on Monday and Tuesday, $IBIT saw additional inflows of +$115 million and +$164 million.

This brings the total $IBIT inflows to +$501 million so far in July, on track for the largest monthly intake since April and the 3rd-largest this year.

Investor demand for Bitcoin funds is rapidly improving.

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New footage of Jimothy enjoying the morning sunrise in Seattle

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“Our model makes bioweapons”

“Oh yeah? Well our model killed a guy”

“Well played, but our model literally rapes people”

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Former Venezuelan leader Nicolás Maduro and his wife, Celia Flores, are set to appear in a Manhattan courtroom today for the next stage of their high-profile criminal case. Maduro faces four criminal charges after U.S. forces captured him in Caracas during a January raid.

Prosecutors accuse Maduro of running Venezuela as a drug trafficking organization for 25 years. A trial is expected to begin in June 2027, and if convicted, both Maduro and Flores could face life in prison.

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It’s 2008.

You’ve been talking to the girl you met on MySpace for months. Every night she tells you how much she hates her body.

She finally builds up the courage to send you a selfie.

You brace for the worst…

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Bitcoin Net Capital Inflows — Realized Market Cap Change

Comparing 4-year halving cycles

Bitcoin $BTC RealizedCap BitcoinChartBot

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GM

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“If you say, ‘Why not bomb Kimi tomorrow?’ I say, ‘Why not today?’ If you say, ‘Today at five o’clock,’ I say, ‘Why not one o’clock?’”

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