无脉的

The cones are globose to ovoid, 1.5-2.5 cm in diameter with 16-28 scales, arranged in opposite pairs in four rows, each pair at right angles to the adjacent pair; they mature in about 8-9 months after pollination.

叶交互对生，在绿色脱落的侧生小枝上排成羽状二列，线形，柔软，几无柄，通常长1.3一2厘米，宽1.5一2毫米，上面中脉凹下，下面沿中脉两侧有4－8条气孔线，雌雄同株。

Branchlets glabrous or pilose; leaf blade abaxially pilose along veins or glabrous; hypanthium outside glabrous.

小枝无毛或具柔毛；叶片背面具柔毛的沿脉或无毛；托杯外面无毛。

Ovary glabrous; male flowers pedicellate; leaf blade lateral veins and midrib in 30°-35° angles

子房无毛雄花有花梗；用30°-35°有棱的叶片侧脉和中脉 14

Spikelets laterally compressed, florets several, all bisexual or lowest sterile and without a palea; rachilla glabrous, disarticulating above glumes and sterile floret and between fertile florets; glumes lanceolate, shorter than lemmas, subequal or unequal, scarious-membranous, 1–3-veined, obtuse to acuminate or aristulate; lemmas ovate-lanceolate, scarious-membranous, 3-veined, long-ciliate on lateral veins, keeled, apex setaceously bidentate with a short, often recurved awn from the sinus; palea shorter than lemma, hyaline, keels very shortly ciliate.

小穗侧面压扁，小花数个，全部不育和没有一内稃的最低的两性的或；高于颖片和不结果的小花无毛，脱节的小穗轴和在肥沃的小花之间；披针形的颖片，短于外稃，近等长或不等长，干膜质膜质，1-3脉，具小芒的钝到渐尖或；卵状披针形，干膜质的外稃膜质，3脉，具长缘毛在侧脉上，龙骨状，先端setaceously具双齿具短，通常下弯从那里那些凹缺；内稃短于外稃，透明，龙骨非常短的纤毛。

Petiole 5-7 mm, pubescent; leaf blade dark or purple-green, glossy adaxially, light green abaxially, orbicular or elliptic to oblong, sometimes obovate, 5-9 × 2.8-6 cm, leathery, both surfaces glabrous, but sometimes puberulous along margin, base broadly cuneate, apex acuminate or acute, apiculate; lateral veins 15-20 pairs, more conspicuous abaxially, veins and veinlets slender, subparallel, obscure.

叶柄5-7毫米，具短柔毛；叶片深色的或紫色绿色，正面有光泽，淡绿背面，圆形的或椭圆形到长圆形，有时倒卵形， 5-9 * 2.8-6 厘米，革质，两面无毛，但是有时被微柔毛的沿边缘，基部宽楔形，先端渐尖或锐尖的，具细尖；侧脉15-20 对，更多的背面明显，脉和细脉纤细，近平行，不明显。

Leaves 1 or 2 per ultimate branch; sheath margins ciliolate; auricles absent, oral setae few, 1–2 mm; ligule truncate, ca. 0.4 mm; blade linear-lanceolate, 4–9.4 × 0.5–0.9 cm, glabrous, secondary veins 2- or 3-paired, transverse veins obscure, base cuneate, one margin spinescent-serrulate, other margin obscure.

每末级的分枝留下1或2；鞘边缘具短缘毛；叶耳无，口头的刚毛少数，1-2毫米；叶舌削去，大约0.4毫米；叶片线状披针形， 4-9.4 * 0.5-0.9 厘米，无毛，2或3配对的次脉，不明显的横向脉，基部楔形，具刺有细锯齿的一边缘，不明显的其他边缘。

Leaves toward base of stem: petiole ca. 0.8-1.3 cm, tomentose, prophyll up to 1/2 as long as petiole; leaf blade ovate or narrowly ovate, 10-18 × 5-10 cm, papery, glabrous to abaxially tomentose, adaxially pilose along veins, base cordate, oblique, apex acute or acute-acuminate; veins 9, apical pair arising 1-3 cm above base, others basal; reticulate veins conspicuous.

约的对于scircapetiole的基部的叶0.8-1.3厘米，被绒毛，先出叶可达1/2的倍于叶柄；叶片卵形或狭卵形， 10-18 * 5-10 厘米，纸质，无毛到背面的被绒毛，正面具柔毛的沿脉，基部心形，偏斜，先端锐尖的或锐尖尖；脉9，出现的顶端的对超过基部1-3厘米，其它人基部；网脉明显穗状花序对生。

Spikelets with 1 floret, mostly laterally compressed, rachilla extension absent, falling entire; glumes absent or reduced to small scales at base of floret; lemma membranous to leathery, keeled, 5–10-veined, entire, with or without a straight awn from the apex; palea resembling lemma but narrower, 3–7-veined with central keel.

小穗具1小花，多数侧面压扁，小穗轴扩展无，变为全缘；颖片小花的无的或退化至小鳞片在基部；外稃膜的到革质，翻转，5-10脉，整个，有或没有来自顶的一直的芒；内稃象外稃但是狭窄，3-7脉与中心的龙骨一起。

Spikelets 3.8–4.5 mm, usually purple tinged; glumes glabrous, veins scaberulous; lower glume 2.5–3 mm, 3–5-veined; upper glume as long as spikelet, 5-veined; lower floret staminate, as long as lower glume; upper floret 2.2–3 mm, lemma apex subentire, awned; awn geniculate with brown twisted column, 2.7–5 mm; callus hairs ca. 1/2 length of lemma.

小穗3.8-4.5毫米，通常，紫色微染；颖片无毛，脉；更低的颖片2.5-3毫米，3-5脉；上面颖片倍于小穗，5脉；雄蕊花的下部的小花，倍于更低的颖片；上面小花2.2-3毫米，外稃先端，具芒；用棕色的盘旋的柱子，2.7-5毫米膝曲的芒；约的胼胝体毛1/2段外稃。

Leaves persistent; petiole purple-green, 2-3.5 cm, glabrous; leaf blade abaxially gray-white, adaxially dark green and lucid, oblong-elliptic or elliptic, 10-14 × 3-6 cm, papery or subleathery, glabrous, pinnatinerved, lateral veins 8-12 pairs, base obtuse, apex caudate-acuminate, acumen 2-2.4 cm.

叶宿存；叶柄紫色绿色，2-3.5厘米，无毛；叶片背面的灰白色，正面深绿色和有光泽，长圆状椭圆形的或椭圆形， 10-14 * 3-6 厘米，纸质的或近革质的，无毛，羽状脉，侧脉8-12 对，基部钝，先端尾状渐尖，渐尖头2-2.4厘米。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。