sethoflagos

How do you make that out? Your link shows that a significantly higher proportion of elderly voters chose Trump than those in the 28-44 age group, both men and women.

Now that I'm of pensionable age, I've had time to look at the actions of my generation and their predecessors in public office; their actions as corporate stakeholders; their typical voting tendencies; and come to the inescapable conclusion that their attentions for the limited remainder of their time here would be better focused elsewhere. Gardening or reading shallow, rose-tinted recollections of the good old days. Let's face it, their performance in these areas has been woeful and one cannot help but come to the conclusion that their declining mental faculties and limited personal investment in anything but the immediate future may be the root cause. So if I felt sufficiently deserving of a vote, it would be to ban us all from public and military office, corporate directorships, and permanently remove our political and share holder voting rights. Our interests should still be protected out of self-preservation by those approaching retirement age, and there would be some incentive to curry favour with the remainder by breaking the mould and actually being pleasant to others. Don't you agree?... ... Donald?

Actually, now that I've written it down, I'm seeing some issues in the standard sign convention. Y = f(ct - r) + g(ct + r) is mathematically identical to the customary presentation of course, but avoidance of the -ct term doesn't push a time-reversed possibility in your face quite so much. Moreover the path choice at the intersections of the diagonal characteristic equations in the time forward direction is not a split of incoming and outgoing waves, but of transmitted vs reflected waves. This seems a more 'useful' distinction. Waves in all four quadrants now read naturally as moving forward in time, unless one is determined to impose a retrocausal possibility.

Let us adjust coordinates to those of a spatially stationary observer progressing forwards uniformly along the time axis. Also we can eliminate wave speed and express both time and distance in the same units. Hence we obtain the linear, homogenous, hyperbolic PDE: Yrr - Ytt = 0 Note that this implies the mixed derivative Yxy = 0 where x = r + t, y = r - t Now the visualisation. Picture the observer riding an ascending escalator mounted on the edge of a regular stepped pyramid. Looking diagonally in the -r, +t direction (ie, along a direction of constant x) each step is fitted with a horizontal moving walkway approaching the observer. Each delivers a regular supply of envelopes marked with their x value that functions both as a delivery time to the t axis and delivery location to the r axis. Within each envelope is a number of crossword puzzles each representing a value of Y. As Y = constant is a valid solution, some may be featureless. Others maybe at least partially filled in with across and down clues representing detailed variation of Y with r, t respectively. Some of these may remain duplicated in all envelopes in that x stream, or other agencies may add or change solutions on the way representing evolution of Y with x. (Note that paths of constant x can be expressed as systems of ODEs for Y in y). Looking diagonally right in the +t, +r direction (ie. along a path of constant y), similar situation applies, excepting that the moving walkways are departing the observer; the envelope y-value addresses represent elapsed time since intersection with the t-axis and (backwards projected) intersection address on the r-axis; and that these constant y walkways represent systems of ODEs for Y in x. So far, there has no discussion of waves. However, each 'crossword puzzle' can be expressed as eg a bounded Fourier series, and that since the principle of superposition applies for this type of equation, the sum of the whole shooting match can be expressed as a sum of sines and cosines. This is at least mathematically convenient. Perhaps more pertinent is that when the equation is applied to real world physical systems, the boundary conditions frequently feature natural harmonic fluctuations inherent to the medium being studied. So the waves are not caused by the PDE itself, but are introduced by either the physical system under study or the mathematical treatment adopted. Hope someone at least finds this helpful, and I haven't made too great a blunder anywhere.

A pickled egg for me. Possibly dipped in the pineapple chutney jar. (he says while finishing off a bowl of sliced mango) Of comparable texture to peanut butter would be my in-laws' preferred snack of moin moin.

I store mine in a glass Kilner jar so avoid the problem. The manufacturers add citric acid to accelerate the sucrose inversion process so perhaps that eventually initiates the corrosion. The DIY recipe includes for a good squirt of concentrated lemon juice. Definitely second breakfast territory 😄

Homemade? Hummus and guacamole maybe? Parkin is a very local speciality of the region I was brought up in. Can't be explained. Nothing else much like it.

I'm on the lookout for one but no luck so far. Local cooking practice has something of an on or off basis.

A few steps above me on the baking front. The oven I inherited has no temperature indications and a brutal simplicity that frankly scares me. By trial and cremated error, I've got the hang of (very) crusty bread and flapjacks. But I don't yet have the nerve to try such sophisticated stuff as you. Next on the experimental agenda is parkin. See how that goes. I'm currently adding ground almonds, but dried apricot sounds good. Not sure they're grown here, but dried mango might do the same job.

Tomatoes are hard to beat on sunny days for sure. I fondly remember gazpacho from a job I had in Spain and make a reasonable facsimile by blending chilled ripe tomatoes with pickles (onions, gherkins, chilli, garlic). I even recently tried adding a tin of sardines and couple of slices of stale bread for a more substantial treat. It works. Either hot or cold. My wife and her sisters regularly pan fry sweet potato chips as it's a staple here. I go more for Irish potatoes as a taste from home. Maris Piper etc won't grow here, but the German new potato Nicola does very well on Jos Plateau, and is a good all-rounder in the kitchen. I can warmly recommend this recipe for Bombay Aloo Like you, I'll eat half for supper warm, and then snack on the cold leftovers the following day.

I make a batch every two or three weeks. It doesn't take me 2 minutes to pull one out of the biscuit tin. 'At time of need' is the qualifier. Likewise, I always keep a stock of whole-wheat roti in the fridge. 30 seconds in the microwave, spread with blue cheese, and wrap around a pickled gherkin. Lovely! Okay, let's stretch it to ten minutes. You can be doing something else while it's in the pan, and we've got to allow bacon! Don't understand the oatmeal and baked beans though. Guess it's a Canadian thing. Or maybe you meant just the beans. 😊

What do you hoard in the fridge or back of the pantry ready for when you have an attack of the munchies? I've a few. Mainly defensible, but I've recently rediscovered my weakness for Flapjacks. The only non-Brit here who might really know what these are is @Ken Fabian as treacle (aka Golden Syrup) is an indispensable ingredient and there few places outside the UK where it's readily available. I have to make my own (but it's worth it). What's your guilty secret? (No more than 2 minutes prep time at time of need, or it's just 2nd breakfast)

Unfortunately, no longer with us. But it's good to know that enjoying both Yes and Afrobeat is not so unusual.

In my experience (albeit limited to ANI), the reality is merely a shift in boundaries. If anything, the coastline - the boundary where human inspiration is necessary - grows larger as established knowledge expands and new operations come within paddling distance of the beach. On a philosophical level, the universe is driven by a hugely diverse array of PDEs, most of which are non-analytic in their practical realisation, and each of which is subject to a (literally!) infinite variety of boundary conditions and consequent infinity of plausible solutions. Gathering the experimental data necessary to confirm each advance is not a trivial exercise. I think we're safe for a few millennia on that count alone. This afternoon while doing a bit of background study on another thread, I asked one of Google's demonic offspring to back calculate the 1D wave equation from the general solution as a check. It proceeded to use the shorthand symbol f'' for the second partial derivative of f(r,t) irrespective of whether it was with respect to the spatial or time variable, and thus convinced itself that the two quantities must be equal. (They don't even have the same dimensions). Wouldn't accept that it was wrong. And if one lacks the capability to question one's results, then how can one possibly advance?

Tom R. A. Marmot hears more about his restaurant problems: Unembraced is loop nosh, Tom: and tarsier to sip, a koala, okapi. So tries rat DNA, moths on poolside carb menu.

During my chem eng degree course in the '70s, I had a similar exposure to computers as @MigL , (mainframe Fortran mk IV, leading to in-house development of mini and microcomputer applications in later years). The combined understanding of the strengths and weaknesses of software applications and 'old-fashioned' hand calculation of standard chem eng problems earned me a lot of work in the '90s with major engineering design companies helping develop and evaluate engineering software applications that on the face of it, were intended to put chemical engineers out of a job. I doubt if anybody has routinely done the long-winded iterative stuff like distillation column tray calculations manually for a quarter of a century now, but software whether AI or conventional remains ill-equipped to deal with novelty or unpredictability, the areas where experienced chemical engineers really earn their paychecks, and I don't see the scope of those reducing in the foreseeable future. Academia, particularly that of the developing nations, has become highly proficient at churning out low cost CAD monkeys (pray forgive me!) over the last few decades, and perhaps that's no bad thing. But there are much more rewarding jobs available for those who are prepared to knuckle down and gain a thorough understanding of the fundamentals. In essence, that division between steady Eddies and bright sparks has always existed. And both are necessary, they have a symbiotic relationship.

the 1300 section seems too easy (in order to ''prove' a point I suspect). Compare with this page of the Kelmscott Chaucer, with language dating from nearly a century later (and without the ''runes'').

There's a significant difference between failing to recognise social cues and dismissing them with contempt. I'm not a psychologist, but I might wager a modest sum on entitlement mentality and narcissistic personality disorder. A lot going around just now it seems. Sim-post with @exchemist Sim-post with @exchemist

Fair comment. However, it is 'simply' a matter of being absolutely clear about the substitution choices that are being made - ensuring that all other things remain equal and that the comparison is not being compromised. If the electricity produced is used to substitute for currently consumed electricity produced by fossil fuel combustion, there are potential reductions in both greenhouse gas emissions and total heat exhausted to the troposphere (because of reduced waste heat). If it is used to meet an increase in global power consumption, that energy ends up as increased tropospheric heating with no savings to mitigate. Indistinguishable. The installation costs of the solar panels could alternatively be used to cover the same land area in mirrors negating most albedo considerations. Subject to cloud cover, most of this energy would be reflected back into space reducing thermal input to the troposphere. Convince me that the 1:1 conversion of tropospheric kinetic energy into tropospheric thermal energy does not lead to a pro rata nett reduction in tropospheric kinetic energy. Is the new thermal energy reconverted back to new wind with no consequent increase in global temperatures? You may be right, at least in part. But this one is not so simple. The big models would have to be consulted I think.

That is an additional 13.7 GW of solar irradiance converted to thermal energy thus increasing the planet's surface temperature. 13.7 GW that could have been better reflected back into space by a mirror rather than absorbed by photovoltaic cells. Increasing civilisation's energy consumption simply and proportionally impacts the rate of global warming.

I meant to add to my posting that those modes of vibration that are a) consistent with the general solution and b) are self-reinforcing due to system harmonic resonance tend to appropriate most of the energy available to the system into a dynamic equilibrium of standing waves that dominate system behaviour. I've really only gone deeply into this in acoustics, where for instance musical instruments driven by a 'white noise' excitation produce clear notes with harmonic wavelengths based on integer fractions of a characteristic dimension of the instrument. Non-harmonic waves and other possible modes simply can''t compete.

Emily advises South African to let sleeping goblins lie Dale, I pray ye no help pass orc asleep no lemon roll or no melon peels across apple honey, yarpie lad!

Deleted. Cathartic post ran off-topic.

Perhaps the concept of a ''gentle giant' is one of yours. I am however embedded in a culture where dowries are payable, and this does put a particular slant on things, providing as it does a financial imperative for families to protect their daughters from ''spoilage'' prior to marriage. Perhaps that's a more convincing origin of these social conventions than the forces of industrialisation I mentioned above,

In who's universe? In my modest experience, most women would seem to prefer a mate who doesn't slap them around all the time.